# Ekspertna knjiga odluka · Expert decision review log · OLP-0198 Ova knjiga izlaže svih 400 aktivnyh terminologičnyh izborov v aktualnom medžuslovjanskom kanonu Open Logic. Ona jest napravljena za asinkronny ekspertni pregled; nikaka konsultacija ili odobrenje ne zadržava prěvod, validaciju ili publikaciju. This book exposes all 400 active terminology decisions in the current Open Logic Interslavic canon for asynchronous expert review. Missing or adverse human feedback never creates a production hold. Every choice remains reversible and open to evidence-based correction. ## Granica proveniencije · Provenance boundary OLISV-T0346–OLISV-T0400 sųt zapisy stvarane ili revidovane v toku produkcije OLP-0184–OLP-0198. OLISV-T0345 jest zachovany zapis prethodnogo javnogo kontrolnogo punkta; ranějše zapisy sųt označene kako retrospektivne javne projekcije zachovanogo kanona. Nikaky nezapisany motiv ne jest domysljen. OLISV-T0346–OLISV-T0400 are records created or revised during OLP-0184–OLP-0198 production. OLISV-T0345 preserves the prior public checkpoint; earlier entries are labelled retrospective public projections of the preserved canon. No unrecorded motive is invented. - Fizične revizije / physical revisions replayed: 453 - Aktivne zapisy / active entries covered: 400 / 400 - Zapisy bez dokaznogo spiska / entries lacking every authority list: 0 - Status: polno pokrytje aktivnogo kanona pri OLP-0198; cěly prěvod 722 jedinic ostavaje nedokončeny. / Complete active-canon coverage at OLP-0198; the 722-unit translation remains partial. ## Kako pregledati · How to review Navedite ID zapisa i revizije, točny izvor i lokator, matematičny smysl, konkretnu zaměnu i očekivany učinok na vzhodno-, zapadno- i južnoslovjansko razuměnje. / Cite the entry and revision IDs, exact source and locator, mathematical sense, a concrete replacement, and the expected effect on East-, West-, and South-Slavic comprehension. ## OLISV-T0001 · set.mathematical - **Revizija / recording:** `OLISV-T0001-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **set** — A collection treated as one mathematical object. - **Medžuslovjansky / Interslavic:** `množstvo`; lemma `množstvo`; Cyrillic `множство` - **Gramatika / use:** neuter noun. Neuter noun; genitive singular množstva, nominative/accusative plural množstva. Use for mathematical sets, including množstvo A. - **Argumentacija / rationale:** The official dictionary row is explicitly mathematical, the form is pan-Slavically legible, and the maintained Noether corpus uses the same lemma in set-like mathematical prose. - **Uvěrjenost / status:** 0.99 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-SET-BASICS` · lines 12-16 · English Open Logic occurrence and sense - **Evidence loci:** `OL-SET-BASICS` lines 12-16 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-44` line 156 (RESOLVED); `ISV-DICT-LIVE-20260824` dictionary_id=35138 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/sets/basics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 12, 13, 16, 17, 20, 34, 37, 46, 47, 48, 51, 57, 84, 88, 89 - **Alternativy / alternatives:** `sbirka` — The dictionary marks this as a general collection/set, not the mathematical sense, and the mathematical row supplies a dedicated lemma. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘A collection treated as one mathematical object.’, should ‘množstvo’ remain preferred over ‘sbirka’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0002 · set.element - **Revizija / recording:** `OLISV-T0002-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **element** — An object that belongs to a set. - **Medžuslovjansky / Interslavic:** `element`; lemma `element`; Cyrillic `елемент` - **Gramatika / use:** masculine noun. Masculine noun; genitive singular elementa, nominative plural elementy. Use x jest elementom množstva A when prose is preferable to x ∈ A. - **Argumentacija / rationale:** The international lemma has a direct dictionary entry with exceptionally broad comparison-language agreement and is already established throughout the inherited mathematical corpus. - **Uvěrjenost / status:** 0.99 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-SET-BASICS` · lines 13-16 · English Open Logic occurrence and sense - **Evidence loci:** `OL-SET-BASICS` lines 13-16 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[6006]; dictionary_id=17372; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[6006]; dictionary_id=17372; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[6006]; dictionary_id=17372; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[6006]; dictionary_id=17372; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[6006]; dictionary_id=17372; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[6006]; dictionary_id=17372; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[6006]; dictionary_id=17372 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-44` lines 132-150 (RESOLVED); `ISV-DICT-LIVE-20260824` dictionary_id=18554 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/sets/basics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 14, 15, 16, 21, 22, 28, 35, 42, 52, 58, 60, 100 - **Alternativy / alternatives:** `pŕvěstȯk` — The alternate dictionary lemma is markedly less intelligible and carries a chemical-element association in its comparison data. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘An object that belongs to a set.’, should ‘element’ remain preferred over ‘pŕvěstȯk’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0003 · set.subset - **Revizija / recording:** `OLISV-T0003-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **subset** — A set all of whose elements belong to another set. - **Medžuslovjansky / Interslavic:** `podmnožstvo`; lemma `podmnožstvo`; Cyrillic `подмножство` - **Gramatika / use:** neuter noun. Neuter noun; genitive singular podmnožstva, plural podmnožstva. Use A jest podmnožstvom B for A ⊆ B. - **Argumentacija / rationale:** The compound transparently inherits množstvo, is explicitly tagged for mathematics in the dictionary, and occurs with the same sense in the inherited corpus. - **Uvěrjenost / status:** 0.99 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-SET-SUBSETS` · lines 19-22 · English Open Logic occurrence and sense - **Evidence loci:** `OL-SET-SUBSETS` lines 19-22 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16499]; dictionary_id=36456; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16499]; dictionary_id=36456; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16499]; dictionary_id=36456; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16499]; dictionary_id=36456; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16499]; dictionary_id=36456; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16499]; dictionary_id=36456; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16499]; dictionary_id=36456 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` line 7179 (RESOLVED); `ISV-DICT-LIVE-20260824` dictionary_id=20022 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/sets/subsets.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 19, 21, 22, 24, 29, 30, 31, 33, 38, 39, 54, 61 - **Alternativy / alternatives:** `podgrupa` — A subgroup is only a special kind of subset and cannot serve as the general set-theoretic term. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘A set all of whose elements belong to another set.’, should ‘podmnožstvo’ remain preferred over ‘podgrupa’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0004 · set.union - **Revizija / recording:** `OLISV-T0004-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **union; union over a set** — The set containing exactly the elements belonging to at least one member of a specified family; this includes binary union and the operation denoted by union X. - **Medžuslovjansky / Interslavic:** `unija množstv`; lemma `unija`; Cyrillic `унија множств` - **Gramatika / use:** feminine noun phrase. Feminine noun; genitive unije. Use unija množstv for the general operation, unija X or formula notation for the union over a set X, and unija A i B for binary union. - **Argumentacija / rationale:** The established international head remains unchanged. OLP-0170 explicitly introduces the family operation union X, so the revision broadens the recorded sense without conflating it with intersection or with the mereological sum introduced later in the same unit. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 79-88 · Displayed union-over-a-set axiom and explanatory prose - **Evidence loci:** `OL-SET-UNIONS` lines 34-38 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[18009]; dictionary_id=13296; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[18009]; dictionary_id=13296; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[18009]; dictionary_id=13296; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[18009]; dictionary_id=13296; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[18009], dictionary_id=13296 and wordList[15156], dictionary_id=36434; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[18009]; dictionary_id=13296; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[18009]; dictionary_id=13296 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-45` line 542 (RESOLVED); `ISV-DICT-LIVE-20260824` dictionary_id=2085 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `OL-FOL-THEORIES-EXAMPLES` lines 79-88 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/sets/unions-and-intersections.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 25, 34, 35, 44, 48, 51; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 90 - **Alternativy / alternatives:** `sjedinjenje množstv` — This Slavic-rooted alternative is semantically attractive and Noether attests sjedinenje, but no direct noun row or set-union attestation is present in the bounded official snapshot. - **Neizvěstnost / uncertainty:** The choice between unija množstv and sjedinenje množstv needs stronger specialist Interslavic attestation; no human review is required to use this reversible provisional seed. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The choice between unija množstv and sjedinenje množstv needs stronger specialist Interslavic attestation; no human review is required to use this reversible provisional seed. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The set containing exactly the elements belonging to at least one member of a specified family; this includes binary union and the operation denoted by union X.’, should ‘unija množstv’ remain preferred over ‘sjedinjenje množstv’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0005 · set.intersection - **Revizija / recording:** `OLISV-T0005-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **intersection** — The set containing exactly the elements common to all operand sets. - **Medžuslovjansky / Interslavic:** `prěsěčenje množstv`; lemma `prěsěčenje`; Cyrillic `прєсєчење множств` - **Gramatika / use:** neuter noun phrase. The dictionary source form prěsěčeńje is normalized to standard/basic prěsěčenje. The head is neuter; use prěsěčenje množstv A i B or A ∩ B. - **Argumentacija / rationale:** The normalized dictionary lemma is reinforced by an exact mathematical intersection use in the inherited corpus; množstv makes the Open Logic set-theoretic sense explicit. - **Uvěrjenost / status:** 0.91 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-SET-UNIONS` · lines 71-74 · English Open Logic occurrence and sense - **Evidence loci:** `OL-SET-UNIONS` lines 71-74 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9476]; dictionary_id=21469; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9476]; dictionary_id=21469; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9476]; dictionary_id=21469; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9476]; dictionary_id=21469; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9476], dictionary_id=21469 and wordList[15156], dictionary_id=36434; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9476]; dictionary_id=21469; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9476]; dictionary_id=21469 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[15156]; dictionary_id=36434 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 7165-7173 (RESOLVED); `ISV-DICT-LIVE-20260824` dictionary_id=17708 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/sets/unions-and-intersections.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 63, 67, 73, 74, 81, 85, 88, 91, 94, 103, 105, 108 - **Alternativy / alternatives:** `križišče množstv` — Križišče is strongly biased toward a physical road intersection and lacks inherited mathematical support. - **Neizvěstnost / uncertainty:** Several comparison languages use a specialist noun different from the general-intersection dictionary column; those domain-normalized comparanda are explicitly marked componential. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Several comparison languages use a specialist noun different from the general-intersection dictionary column; those domain-normalized comparanda are explicitly marked componential. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The set containing exactly the elements common to all operand sets.’, should ‘prěsěčenje množstv’ remain preferred over ‘križišče množstv’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0006 · relation.mathematical - **Revizija / recording:** `OLISV-T0006-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **relation** — A set of ordered tuples, especially a binary relation represented as a subset of a Cartesian square. - **Medžuslovjansky / Interslavic:** `odnošenje`; lemma `odnošenje`; Cyrillic `одношење` - **Gramatika / use:** neuter noun. The dictionary source form odnošeńje is normalized to standard/basic odnošenje. Use binarno odnošenje na množstvu A; genitive singular odnošenja. - **Argumentacija / rationale:** Odnošenje has direct dictionary support and inherited mathematical use, while preserving a transparent Slavic root. Context or the modifier binarno resolves its broader everyday senses. - **Uvěrjenost / status:** 0.86 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-REL-AS-SETS` · lines 55-57 · English Open Logic occurrence and sense - **Evidence loci:** `OL-REL-AS-SETS` lines 55-57 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 61 and 131 (RESOLVED); `NOETHER-BASE` line 622 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/relations-as-sets.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 16, 17, 35, 47, 51, 52, 56, 57, 58, 84, 92, 98, 100, 101, 104, 113, 114, 115, 116, 117, 120 - **Alternativy / alternatives:** `relacija` — Relacija is well established in the inherited mathematics and in West/South comparanda, but it has no direct lemma row in the bounded dictionary data; retain it as a searchable alternative. - **Neizvěstnost / uncertainty:** Specialist usage may favor relacija in some contexts; this seed chooses the directly dictionary-backed Slavic-rooted lemma. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Specialist usage may favor relacija in some contexts; this seed chooses the directly dictionary-backed Slavic-rooted lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A set of ordered tuples, especially a binary relation represented as a subset of a Cartesian square.’, should ‘odnošenje’ remain preferred over ‘relacija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0007 · function.mathematical - **Revizija / recording:** `OLISV-T0007-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **function** — A mapping assigning each element of a domain exactly one value in a codomain. - **Medžuslovjansky / Interslavic:** `funkcija`; lemma `funkcija`; Cyrillic `функција` - **Gramatika / use:** feminine noun. Feminine noun; genitive singular funkcije, nominative plural funkcije. Write funkcija f iz A v B for f: A → B. - **Argumentacija / rationale:** The lemma is directly listed, essentially identical across the comparison languages, and deeply established in the inherited mathematical corpus. - **Uvěrjenost / status:** 0.99 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-FUN-BASICS` · lines 28-32 · English Open Logic occurrence and sense - **Evidence loci:** `OL-FUN-BASICS` lines 28-32 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 4952-4958 (RESOLVED); `NOETHER-BASE` line 8434 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/function-basics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 13, 20, 23, 28, 29, 46, 53, 67, 79, 81, 99, 108, 110, 116 - **Alternativy / alternatives:** `odobraženje` — This can express a mapping, but it is narrower and less stable as the general headword for all Open Logic functions. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘A mapping assigning each element of a domain exactly one value in a codomain.’, should ‘funkcija’ remain preferred over ‘odobraženje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0008 · function.domain - **Revizija / recording:** `OLISV-T0008-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **domain** — The set of admissible inputs of a function. - **Medžuslovjansky / Interslavic:** `domen funkcije`; lemma `domen`; Cyrillic `домен функције` - **Gramatika / use:** masculine noun phrase. Head noun domen is masculine; genitive singular domena. Use domen funkcije f when the function-theoretic sense is not already explicit. - **Argumentacija / rationale:** The compact international lemma is directly attested in all six comparison columns and the added genitive funkcije fixes the intended input-set sense; the collocation remains provisional because the row is not sense-tagged. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-BASICS` · lines 32-38 · English Open Logic occurrence and sense - **Evidence loci:** `OL-FUN-BASICS` lines 32-38 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[5559]; dictionary_id=36356; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[5559]; dictionary_id=36356; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[5559]; dictionary_id=36356; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[5559]; dictionary_id=36356; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[5559]; dictionary_id=36356; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[5559]; dictionary_id=36356; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[5559]; dictionary_id=36356 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 8728-8730 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/function-basics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 32, 33, 40, 46, 47, 48, 49, 55, 61, 62, 100, 124 - **Alternativy / alternatives:** `oblast oprědelenja funkcije` — This descriptive East-Slavic-style phrase is semantically explicit but longer and has no direct bounded Interslavic attestation. - **Neizvěstnost / uncertainty:** Conventional terminology diverges sharply across Slavic languages; domen funkcije is a reversible editorial bridge, not an attested official collocation. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Conventional terminology diverges sharply across Slavic languages; domen funkcije is a reversible editorial bridge, not an attested official collocation. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The set of admissible inputs of a function.’, should ‘domen funkcije’ remain preferred over ‘oblast oprědelenja funkcije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0009 · function.composition - **Revizija / recording:** `OLISV-T0009-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **composition** — The function obtained by applying one function and then another in the specified order. - **Medžuslovjansky / Interslavic:** `kompozicija funkcij`; lemma `kompozicija`; Cyrillic `композиција функциј` - **Gramatika / use:** feminine noun phrase. Head noun kompozicija is feminine; genitive singular kompozicije. Use kompozicija funkcij f i g and preserve the source convention for the order in g ∘ f. - **Argumentacija / rationale:** Kompozicija funkcij is immediately legible in East and South Slavic and keeps the operation distinct from addition. It is deliberately provisional because the bounded dictionary labels kompozicija only for music. - **Uvěrjenost / status:** 0.62 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-COMPOSITION` · lines 39-42 · English Open Logic occurrence and sense - **Evidence loci:** `OL-FUN-COMPOSITION` lines 39-42 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[3854]; dictionary_id=35582; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[3854]; dictionary_id=35582; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[3854]; dictionary_id=35582; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[3854]; dictionary_id=35582; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[3854], dictionary_id=35582 and wordList[7434], dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[3854]; dictionary_id=35582; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[3854]; dictionary_id=35582 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-44` line 150 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/composition.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 10, 15, 34, 39, 41, 49 - **Alternativy / alternatives:** `složenje funkcij` — This native-rooted option aligns better with Polish and Czech, but the inherited use of složenje is not an attestation of function composition and no direct dictionary noun row was found. - **Neizvěstnost / uncertainty:** No bounded official source directly selects between kompozicija funkcij and složenje funkcij for the mathematical operation. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official source directly selects between kompozicija funkcij and složenje funkcij for the mathematical operation. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The function obtained by applying one function and then another in the specified order.’, should ‘kompozicija funkcij’ remain preferred over ‘složenje funkcij’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0010 · logic.discipline - **Revizija / recording:** `OLISV-T0010-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **logic** — Logic as the discipline or philosophical notion concerned with valid reasoning, and contextually an individuated formal logical framework. The formal-system sense is recorded more explicitly under T0222. - **Medžuslovjansky / Interslavic:** `logika`; lemma `logika`; Cyrillic `логика` - **Gramatika / use:** feminine noun. Feminine noun; genitive singular logiky. Use logika for the discipline and in compounds such as logika prvogo reda. - **Argumentacija / rationale:** The international lemma remains directly listed and fully convergent across the six comparison traditions. OLP-0175 deliberately moves between the discipline or philosophical notion and an individuated formal framework; preserving one lexical head records that controlled polysemy while T0222 carries the explicit logical-system profile. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTRODUCTION` · lines 13-30 and 31-44 · Discipline, philosophical notion, and individuated-formal-framework polysemy boundary - **Evidence loci:** `OL-FOL-INTRO` lines 13-20 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10431]; dictionary_id=8933; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10431]; dictionary_id=8933; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10431]; dictionary_id=8933; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10431]; dictionary_id=8933; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10431]; dictionary_id=8933; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10431]; dictionary_id=8933; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10431]; dictionary_id=8933 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `OL-FOL-BEYOND-INTRODUCTION` lines 13-30 and 31-44 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 1, 13, 14, 18, 23 - **Alternativy / alternatives:** `razumovanje` — This denotes reasoning as an activity rather than logic as a formal discipline. - **Neizvěstnost / uncertainty:** The passage presents several philosophical conceptions without selecting one definition of logic.; Use T0222 when the explicit system head or its defeasible component profile is the point. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The passage presents several philosophical conceptions without selecting one definition of logic. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Use T0222 when the explicit system head or its defeasible component profile is the point. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Logic as the discipline or philosophical notion concerned with valid reasoning, and contextually an individuated formal logical framework. The formal-system sense is recorded more explicitly under T0222.’, should ‘logika’ remain preferred over ‘razumovanje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0011 · logic.formula - **Revizija / recording:** `OLISV-T0011-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **formula** — A well-formed expression of a formal language built according to its formation rules. - **Medžuslovjansky / Interslavic:** `formula`; lemma `formula`; Cyrillic `формула` - **Gramatika / use:** feminine noun. Feminine noun; genitive singular formuly, nominative plural formuly. Modifiers agree, as in atomna formula. - **Argumentacija / rationale:** Formula is directly dictionary-backed, uniform across the comparison languages, and already stable in the inherited mathematical register. - **Uvěrjenost / status:** 0.99 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 41-55 · English Open Logic occurrence and sense - **Evidence loci:** `OL-FOL-FORMULAS` lines 41-55 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7255]; dictionary_id=5181; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7255]; dictionary_id=5181; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7255]; dictionary_id=5181; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7255]; dictionary_id=5181; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7255]; dictionary_id=5181; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7255]; dictionary_id=5181; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7255]; dictionary_id=5181 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-45` lines 224 and 292-295 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 11, 15, 41, 42, 45, 47, 51, 54, 56, 57, 59, 60, 62, 63, 65, 66, 68, 69, 71, 72, 74, 75, 77, 82, 84, 85, 90, 93, 94, 96, 114, 130, 134, 185, 211, 214, 233 - **Alternativy / alternatives:** `izraz` — Izraz is the broader term ‘expression’ and would erase Open Logic’s distinction between formulas and other formal expressions. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘A well-formed expression of a formal language built according to its formation rules.’, should ‘formula’ remain preferred over ‘izraz’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0012 · logic.axiom - **Revizija / recording:** `OLISV-T0012-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **axiom** — A sentence adopted as a starting assumption of a formal theory or axiom system. - **Medžuslovjansky / Interslavic:** `aksioma`; lemma `aksioma`; Cyrillic `аксиома` - **Gramatika / use:** feminine noun. Feminine noun; genitive singular aksiomy, nominative plural aksiomy. Use sistema aksiom or aksiomatična teorija for the surrounding system. - **Argumentacija / rationale:** Aksioma has direct dictionary support in every comparison language and exact inherited use as a formal mathematical assumption. - **Uvěrjenost / status:** 0.98 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-INTRO` · lines 21-23 · English Open Logic occurrence and sense - **Evidence loci:** `OL-FOL-THEORIES-INTRO` lines 21-23 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[1498]; dictionary_id=24180; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[1498]; dictionary_id=24180; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[1498]; dictionary_id=24180; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[1498]; dictionary_id=24180; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[1498]; dictionary_id=24180; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[1498]; dictionary_id=24180; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[1498]; dictionary_id=24180 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 16133-16135 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 13, 14, 20, 21, 33, 38, 39, 41, 46, 50, 83, 85 - **Alternativy / alternatives:** `postulat` — Postulat is recognizable but can carry a methodological nuance distinct from a formal axiom and lacks equally direct bounded evidence here. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘A sentence adopted as a starting assumption of a formal theory or axiom system.’, should ‘aksioma’ remain preferred over ‘postulat’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0013 · logic.truth - **Revizija / recording:** `OLISV-T0013-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **truth** — The semantic property of being true, including the truth constant and logical truth. - **Medžuslovjansky / Interslavic:** `istina`; lemma `istina`; Cyrillic `истина` - **Gramatika / use:** feminine noun. Feminine abstract noun; genitive singular istiny. Use logična istina for logical truth and cěnnost istiny only where a truth-value phrase is intended. - **Argumentacija / rationale:** Istina avoids the justice-related ambiguity of pravda in formal semantics and matches East and South Slavic terminology; the dictionary row explicitly records the West Slavic pravda comparanda. - **Uvěrjenost / status:** 0.88 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-FOL-STRUCTURES` · lines 97-99 · English Open Logic occurrence and sense - **Evidence loci:** `OL-FOL-STRUCTURES` lines 97-99 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17697]; dictionary_id=7935; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17697]; dictionary_id=7935; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17697]; dictionary_id=7935; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17697]; dictionary_id=7935; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17697]; dictionary_id=7935; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17697]; dictionary_id=7935; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17697]; dictionary_id=7935 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17696]; dictionary_id=3159 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `pravda` — Although more immediately transparent to West Slavs and a type-1 dictionary lemma, pravda also denotes justice; istina is more sense-specific for semantics. - **Neizvěstnost / uncertainty:** West Slavic readers may find pravda more immediate; the selected istina is a deliberate semantic-disambiguation choice. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: West Slavic readers may find pravda more immediate; the selected istina is a deliberate semantic-disambiguation choice. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The semantic property of being true, including the truth constant and logical truth.’, should ‘istina’ remain preferred over ‘pravda’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0014 · proof.proof - **Revizija / recording:** `OLISV-T0014-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **proof** — A mathematical or formal argument establishing a conclusion from stated grounds. - **Medžuslovjansky / Interslavic:** `dokaz`; lemma `dokaz`; Cyrillic `доказ` - **Gramatika / use:** masculine noun. Masculine noun; genitive singular dokaza, nominative plural dokazy. Use formalny dokaz when distinguishing a formal derivation from informal argument. - **Argumentacija / rationale:** Dokaz is directly dictionary-backed, maximally transparent across the comparison languages, and repeatedly inherited in formal mathematical prose. - **Uvěrjenost / status:** 0.99 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-ND-PROOFS` · lines 17-18 · English Open Logic occurrence and sense - **Evidence loci:** `OL-ND-PROOFS` lines 17-18 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[12886]; dictionary_id=2041; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[12886]; dictionary_id=2041; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[12886]; dictionary_id=2041; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[12886]; dictionary_id=2041; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[12886]; dictionary_id=2041; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[12886]; dictionary_id=2041; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[12886]; dictionary_id=2041 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-45` lines 246-264 (RESOLVED); `NOETHER-BASE` line 16135 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/natural-deduction/rules-and-proofs.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 17, 18 - **Alternativy / alternatives:** `dokazanje` — The process noun can describe the act of proving, but Open Logic’s countable proof object is better served by the established head noun dokaz. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘A mathematical or formal argument establishing a conclusion from stated grounds.’, should ‘dokaz’ remain preferred over ‘dokazanje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0015 · proof.deduction - **Revizija / recording:** `OLISV-T0015-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **deduction** — A rule-governed inference process, especially the natural-deduction proof system. - **Medžuslovjansky / Interslavic:** `dedukcija`; lemma `dedukcija`; Cyrillic `дедукција` - **Gramatika / use:** feminine noun. Feminine noun; genitive singular dedukcije. Use prirodna dedukcija for the proof system and deduktivny only for the corresponding adjective. - **Argumentacija / rationale:** The international term is directly and uniformly attested, and it forms an unambiguous collocation with prirodna for Open Logic’s proof system. - **Uvěrjenost / status:** 0.96 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-ND-PROOFS` · lines 13-18 · English Open Logic occurrence and sense - **Evidence loci:** `OL-ND-PROOFS` lines 13-18 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4819]; dictionary_id=25162; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4819]; dictionary_id=25162; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4819]; dictionary_id=25162; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4819]; dictionary_id=25162; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4819]; dictionary_id=25162; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4819]; dictionary_id=25162; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4819]; dictionary_id=25162 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[3912]; dictionary_id=22276 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/natural-deduction/rules-and-proofs.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 2 - **Alternativy / alternatives:** `izvod` — Izvod is directly listed for conclusion, deduction, and inference, but it denotes an inference result more readily than the named proof system. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘A rule-governed inference process, especially the natural-deduction proof system.’, should ‘dedukcija’ remain preferred over ‘izvod’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0016 · model-theory.structure - **Revizija / recording:** `OLISV-T0016-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **structure** — An interpretation domain together with denotations for the non-logical symbols of a first-order language. - **Medžuslovjansky / Interslavic:** `struktura`; lemma `struktura`; Cyrillic `структура` - **Gramatika / use:** feminine noun. Feminine noun; genitive singular struktury, nominative plural struktury. Use L-struktura when the signature or language L is explicit. - **Argumentacija / rationale:** Struktura is directly identical or near-identical across all comparison languages and matches Open Logic’s own preferred technical label over its acknowledged synonyms model and interpretation. - **Uvěrjenost / status:** 0.96 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-FOL-STRUCTURES` · lines 17-30 · English Open Logic occurrence and sense - **Evidence loci:** `OL-FOL-STRUCTURES` lines 17-30 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16426]; dictionary_id=16363; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16426]; dictionary_id=16363; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16426]; dictionary_id=16363; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16426]; dictionary_id=16363; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16426]; dictionary_id=16363; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16426]; dictionary_id=16363; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[16426]; dictionary_id=16363 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 7695 and 22589 (RESOLVED); `ISV-DICT-LIVE-20260824` dictionary_id=19095 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 25, 63, 76 - **Alternativy / alternatives:** `ustrojstvo` — This broader dictionary alternative can mean system, mechanism, or arrangement and is less precise for the model-theoretic object. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘An interpretation domain together with denotations for the non-logical symbols of a first-order language.’, should ‘struktura’ remain preferred over ‘ustrojstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0017 · model-theory.model - **Revizija / recording:** `OLISV-T0017-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **model; model of a set of sentences** — A structure that satisfies a specified sentence, or every sentence in a specified set or theory. - **Medžuslovjansky / Interslavic:** `model`; lemma `model`; Cyrillic `модел` - **Gramatika / use:** masculine noun. Masculine noun; genitive singular modela, nominative plural modeli. Model množstva Γ is a structure satisfying every sentence in Γ; a model of one sentence or a theory is the corresponding special case. - **Argumentacija / rationale:** The international lemma and all-language dictionary consensus remain unchanged. OLP-0169 gives the exact arbitrary-set definition, so this revision broadens the recorded sense rather than creating a duplicate term. - **Uvěrjenost / status:** 0.97 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXPRESSING-PROPERTIES` · lines 39-42 · English Open Logic definition extending the model relation to a set of sentences - **Evidence loci:** `OL-FOL-STRUCTURES` lines 24-25 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[11194]; dictionary_id=19859; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[11194]; dictionary_id=19859; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[11194]; dictionary_id=19859; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[11194]; dictionary_id=19859; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[11194]; dictionary_id=19859; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[11194]; dictionary_id=19859; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[11194]; dictionary_id=19859 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `ISV-DICT-LIVE-20260824` dictionary_id=16386 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `OL-FOL-THEORIES-EXPRESSING-PROPERTIES` lines 39-42 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 25, 64; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/expressing-props-of-structures.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 2, 38, 40, 53 - **Alternativy / alternatives:** `vzor` — Vzor denotes a pattern or exemplar and does not encode satisfaction of a formal theory. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘A structure that satisfies a specified sentence, or every sentence in a specified set or theory.’, should ‘model’ remain preferred over ‘vzor’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0018 · model-theory.interpretation - **Revizija / recording:** `OLISV-T0018-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **interpretation** — An assignment of semantic values or denotations to the non-logical symbols of a language. - **Medžuslovjansky / Interslavic:** `interpretacija`; lemma `interpretacija`; Cyrillic `интерпретација` - **Gramatika / use:** feminine noun. Feminine noun; genitive singular interpretacije. Use interpretacija simbola or interpretacija jezyka; do not substitute this automatically for every occurrence of structure. - **Argumentacija / rationale:** Interpretacija is directly supported and aligns with the international technical vocabulary in five of the six comparison traditions; Bulgarian divergence is recorded rather than hidden. - **Uvěrjenost / status:** 0.92 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-FOL-STRUCTURES` · lines 24-25 · English Open Logic occurrence and sense - **Evidence loci:** `OL-FOL-STRUCTURES` lines 24-25 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9458]; dictionary_id=4988; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9458]; dictionary_id=4988; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9458]; dictionary_id=4988; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9458]; dictionary_id=4988; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9458]; dictionary_id=4988; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9458]; dictionary_id=4988; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[9458]; dictionary_id=4988 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 25, 33, 35, 38, 83 - **Alternativy / alternatives:** `iztolkovanje` — A native-rooted ‘explanation/interpretation’ alternative may be stylistically useful, but no direct bounded specialist lemma evidence was located. - **Neizvěstnost / uncertainty:** The Czech dictionary column contains an apparent spelling error; the comparandum records the normalized form and explicitly labels that normalization. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The Czech dictionary column contains an apparent spelling error; the comparandum records the normalized form and explicitly labels that normalization. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An assignment of semantic values or denotations to the non-logical symbols of a language.’, should ‘interpretacija’ remain preferred over ‘iztolkovanje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0019 · model-theory.theory - **Revizija / recording:** `OLISV-T0019-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **theory** — A set of sentences closed under, or considered with respect to, logical consequence. - **Medžuslovjansky / Interslavic:** `teorija`; lemma `teorija`; Cyrillic `теорија` - **Gramatika / use:** feminine noun. Feminine noun; genitive singular teorije, nominative plural teorije. Use teorija struktury M and model teorije T with genitive complements. - **Argumentacija / rationale:** Teorija is directly uniform across every comparison language and established throughout the inherited mathematical corpus; Open Logic supplies the specialist semantic boundary. - **Uvěrjenost / status:** 0.99 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-M` · lines 13-20 · English Open Logic occurrence and sense - **Evidence loci:** `OL-MODEL-THEORY-M` lines 13-20 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17168]; dictionary_id=4739; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17168]; dictionary_id=4739; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17168]; dictionary_id=4739; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17168]; dictionary_id=4739; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17168]; dictionary_id=4739; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17168]; dictionary_id=4739; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[17168]; dictionary_id=4739 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-44` lines 53-83 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/theory-of-m.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 2, 3, 11, 16, 20, 26 - **Alternativy / alternatives:** `učenje` — Učenje is closer to a doctrine or body of teaching and is not the stable formal-mathematical internationalism. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘A set of sentences closed under, or considered with respect to, logical consequence.’, should ‘teorija’ remain preferred over ‘učenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0020 · computability.algorithm - **Revizija / recording:** `OLISV-T0020-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **algorithm** — A finite effective procedure specifying steps for obtaining an output or solving a problem. - **Medžuslovjansky / Interslavic:** `algoritm`; lemma `algoritm`; Cyrillic `алгоритм` - **Gramatika / use:** masculine noun. Masculine noun; genitive singular algoritma, nominative plural algoritmy. Use algoritm izčisljaje funkciju f for an effective procedure computing f. - **Argumentacija / rationale:** The dictionary and inherited corpus converge on a maximally recognizable international lemma with stable technical use across all comparison languages. - **Uvěrjenost / status:** 0.99 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-COMP-INTRO` · lines 56-61 · English Open Logic occurrence and sense - **Evidence loci:** `OL-COMP-INTRO` lines 56-61 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[579]; dictionary_id=23492; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[579]; dictionary_id=23492; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[579]; dictionary_id=23492; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[579]; dictionary_id=23492; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[579]; dictionary_id=23492; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[579]; dictionary_id=23492; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[579]; dictionary_id=23492 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` line 8978 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/computability/computability-theory/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `postupok` — Postupok is useful for a generic procedure but does not by itself encode effectiveness or algorithmic formality. - **Neizvěstnost / uncertainty:** No specific uncertainty was recorded beyond the edition-wide provisional boundary. - **Pytanja / review questions:** - For the sense ‘A finite effective procedure specifying steps for obtaining an output or solving a problem.’, should ‘algoritm’ remain preferred over ‘postupok’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0021 · computability.compute - **Revizija / recording:** `OLISV-T0021-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **compute** — To obtain the value of a function by an effective computational procedure. - **Medžuslovjansky / Interslavic:** `izčisljati`; lemma `izčisljati`; Cyrillic `изчисљати` - **Gramatika / use:** transitive imperfective verb. Imperfective verb for the ongoing or general operation; perfective partner izčisliti for a completed computation. A function or algorithm is the grammatical subject and a value or function the object. - **Argumentacija / rationale:** Izčisljati is the only bounded dictionary verb explicitly glossed with compute and supplies a regular aspect partner for completed computations. - **Uvěrjenost / status:** 0.86 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-COMP-INTRO` · lines 19-22 · English Open Logic occurrence and sense - **Evidence loci:** `OL-COMP-INTRO` lines 19-22 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2803]; dictionary_id=5878; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2803]; dictionary_id=5878; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2803]; dictionary_id=5878; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2803]; dictionary_id=5878; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2803]; dictionary_id=5878; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2803]; dictionary_id=5878; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2803]; dictionary_id=5878 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2802]; dictionary_id=2553 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/computability/computability-theory/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kalkulovati` — The international alternative is directly listed for calculate but is more readily associated with numerical or commercial calculation than general computability. - **Neizvěstnost / uncertainty:** The dictionary marks this lemma type 2 and shows weaker West/South intelligibility than the international kalkulovati; the specialist compute sense motivates the selection. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary marks this lemma type 2 and shows weaker West/South intelligibility than the international kalkulovati; the specialist compute sense motivates the selection. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘To obtain the value of a function by an effective computational procedure.’, should ‘izčisljati’ remain preferred over ‘kalkulovati’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0022 · computability.computation - **Revizija / recording:** `OLISV-T0022-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **computation** — The process or result of calculating values according to an effective procedure. - **Medžuslovjansky / Interslavic:** `izčisljenje`; lemma `izčisljenje`; Cyrillic `изчисљење` - **Gramatika / use:** neuter verbal noun. The dictionary source form izčisljeńje is normalized to standard/basic izčisljenje. Neuter noun; genitive singular izčisljenja. Use for a computational process or its result. - **Argumentacija / rationale:** The verbal noun is directly attested and strongly reinforced by inherited mathematical calculations; standardization only removes the optional soft-consonant diacritic. - **Uvěrjenost / status:** 0.9 (high); `seed_preferred`; open to correction: true. - **Primary source locator:** `OL-RECFUN-INTRO` · lines 16-20 · English Open Logic occurrence and sense - **Evidence loci:** `OL-RECFUN-INTRO` lines 16-20 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2808]; dictionary_id=3417; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2808]; dictionary_id=3417; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2808]; dictionary_id=3417; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2808]; dictionary_id=3417; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2808]; dictionary_id=3417; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2808]; dictionary_id=3417; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2808]; dictionary_id=3417 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 3418-3452 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2807]; dictionary_id=4966 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/computability/recursive-functions/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kalkulacija` — Kalkulacija is highly recognizable but more readily suggests a numerical or commercial calculation and lacks the inherited fit of izčisljenje. - **Neizvěstnost / uncertainty:** The BCS dictionary columns favor obračun, which can carry a financial sense; this divergence is preserved in the comparanda. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The BCS dictionary columns favor obračun, which can carry a financial sense; this divergence is preserved in the comparanda. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The process or result of calculating values according to an effective procedure.’, should ‘izčisljenje’ remain preferred over ‘kalkulacija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0023 · computability.computable - **Revizija / recording:** `OLISV-T0023-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **computable** — Capable of being computed by an effective procedure in the chosen model of computation. - **Medžuslovjansky / Interslavic:** `izčislimy`; lemma `izčislimy`; Cyrillic `изчислимы` - **Gramatika / use:** hard adjective. Derived editorially from perfective izčisliti using the second-conjugation present passive ending -imy. Inflect regularly: izčislima funkcija, izčislimo množstvo, izčislimy funkcije. - **Argumentacija / rationale:** Izčislimy is a regular, compact formation from the directly attested compute verb and parallels the East/South Slavic modal adjective pattern. Its lexicalized specialist meaning is useful but not directly listed, so it remains provisional. - **Uvěrjenost / status:** 0.66 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-COMP-SETS` · lines 12-18 · English Open Logic occurrence and sense - **Evidence loci:** `OL-COMP-SETS` lines 12-18 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2804]; dictionary_id=5879; column=ru (RESOLVED); `ISV-GRAMMAR-VERBS` line 178 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2804]; dictionary_id=5879; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2804]; dictionary_id=5879; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2804]; dictionary_id=5879; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2804]; dictionary_id=5879; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2804]; dictionary_id=5879; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[2804]; dictionary_id=5879 (RESOLVED); `ISV-GRAMMAR-VERBS` line 178 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `ISV-GRAMMAR-VERBS` line 178 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/computability/computability-theory/computable-sets.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `izčisljajemy` — This regular imperfective present passive form means ‘being computed’ rather than the modal property ‘capable of computation’. - **Neizvěstnost / uncertainty:** No bounded official dictionary row directly attests izčislimy in the computability-theory sense.; The exact Ukrainian, Polish, Czech, BCS, and Bulgarian adjectives are editorial comparanda rather than values copied from the cited verbal-base row. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official dictionary row directly attests izčislimy in the computability-theory sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The exact Ukrainian, Polish, Czech, BCS, and Bulgarian adjectives are editorial comparanda rather than values copied from the cited verbal-base row. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Capable of being computed by an effective procedure in the chosen model of computation.’, should ‘izčislimy’ remain preferred over ‘izčisljajemy’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0024 · computability.turing-machine - **Revizija / recording:** `OLISV-T0024-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Turing machine** — The abstract machine model that computes by state-governed operations on a tape. - **Medžuslovjansky / Interslavic:** `Turingova mašina`; lemma `Turingova mašina`; Cyrillic `Турингова машина` - **Gramatika / use:** feminine noun phrase. Mašina is the feminine head. Turingova is the nominative feminine singular possessive adjective in -ov and agrees with it; inflect both words as required by the clause. - **Argumentacija / rationale:** The compound combines a directly attested, highly intelligible head with the official possessive-adjective pattern. It is concise and especially transparent to South Slavic readers, but remains provisional because the full eponym is not directly listed. - **Uvěrjenost / status:** 0.76 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-TM-INTRO` · lines 14-23 · English Open Logic occurrence and sense - **Evidence loci:** `OL-TM-INTRO` lines 14-23 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10605]; dictionary_id=2684; column=ru (RESOLVED); `ISV-GRAMMAR-ADJ` lines 43-45 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10605]; dictionary_id=2684; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10605]; dictionary_id=2684; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10605]; dictionary_id=2684; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10605]; dictionary_id=2684; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10605]; dictionary_id=2684; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[10605]; dictionary_id=2684 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 43-45 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 43-45 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/turing-machines/machines-computations/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `mašina Turinga` — A genitive-name construction is understandable and closer to East/West usage, but the possessive adjective is the explicitly documented Interslavic pattern for a single-word masculine possessor. - **Neizvěstnost / uncertainty:** The full eponymic compound is constructed from documented components, not copied from an official terminology row.; Foreign-name handling in other publication pipelines may preserve Roman spelling; this record specifies the standard deterministic Cyrillic projection for this canon. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The full eponymic compound is constructed from documented components, not copied from an official terminology row. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Foreign-name handling in other publication pipelines may preserve Roman spelling; this record specifies the standard deterministic Cyrillic projection for this canon. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The abstract machine model that computes by state-governed operations on a tape.’, should ‘Turingova mašina’ remain preferred over ‘mašina Turinga’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0025 · computability.decidable - **Revizija / recording:** `OLISV-T0025-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **decidable** — Computable as a set or relation, equivalently having an effective yes-or-no decision procedure. - **Medžuslovjansky / Interslavic:** `rěšimy`; lemma `rěšimy`; Cyrillic `рєшимы` - **Gramatika / use:** hard adjective. Derived from rěšiti with the second-conjugation present passive ending -imy. Inflect regularly: rěšima relacija, rěšimo množstvo, rěšimy problemy. - **Argumentacija / rationale:** Rěšimy is morphologically regular, inherits a directly listed decide/determine base, and has an adjacent mathematical ‘solvable’ precedent in Noether. Open Logic’s definition fixes the algorithmic yes/no sense; the lexical extension stays provisional. - **Uvěrjenost / status:** 0.64 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-COMP-SETS` · lines 26-29 · English Open Logic occurrence and sense - **Evidence loci:** `OL-COMP-SETS` lines 26-29 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4772]; dictionary_id=1256; column=ru (RESOLVED); `ISV-GRAMMAR-VERBS` line 178 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4772]; dictionary_id=1256; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4772]; dictionary_id=1256; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4772]; dictionary_id=1256; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4772]; dictionary_id=1256; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4772]; dictionary_id=1256; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[4772]; dictionary_id=1256 (RESOLVED); `ISV-GRAMMAR-VERBS` line 178 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 9943 and 23027-23053 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/computability/computability-theory/computable-sets.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `odlučimy` — This would align more closely with BCS decide terminology but lacks the direct Interslavic base-row and inherited mathematical support available for rěšimy. - **Neizvěstnost / uncertainty:** No bounded official dictionary row attests rěšimy specifically for computability-theoretic decidability.; The six specialist comparison adjectives are editorial comparanda; their cited rows supply only verbal bases. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official dictionary row attests rěšimy specifically for computability-theoretic decidability. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The six specialist comparison adjectives are editorial comparanda; their cited rows supply only verbal bases. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Computable as a set or relation, equivalently having an effective yes-or-no decision procedure.’, should ‘rěšimy’ remain preferred over ‘odlučimy’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0026 · relation.reflexive - **Revizija / recording:** `OLISV-T0026-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **reflexive relation** — A binary relation R on A for which Rxx holds for every x in A. - **Medžuslovjansky / Interslavic:** `refleksivno odnošenje`; lemma `refleksivno odnošenje`; Cyrillic `рефлексивно одношење` - **Gramatika / use:** noun phrase. Neuter adjective agrees with odnošenje; use refleksivno odnošenje in the nominative and decline odnošenje regularly. - **Argumentacija / rationale:** Direct official support for odnošenje plus transparent specialist adjective and broad cross-Slavic convergence. The English definition at OL-REL-PROPERTIES lines 23-26 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-PROPERTIES` · lines 23-26 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-PROPERTIES` lines 23-26 (RESOLVED); `OL-REL-PROPERTIES` lines 23-26 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/special-properties.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `samoodnosno odnošenje` — A descriptive calque is less transparent across Slavic mathematical traditions than the international reflexive stem. - **Neizvěstnost / uncertainty:** No bounded official dictionary row attests the complete specialist compound.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official dictionary row attests the complete specialist compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A binary relation R on A for which Rxx holds for every x in A.’, should ‘refleksivno odnošenje’ remain preferred over ‘samoodnosno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0027 · relation.transitive - **Revizija / recording:** `OLISV-T0027-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **transitive relation** — A relation R for which Rxy and Ryz together imply Rxz. - **Medžuslovjansky / Interslavic:** `tranzitivno odnošenje`; lemma `tranzitivno odnošenje`; Cyrillic `транзитивно одношење` - **Gramatika / use:** noun phrase. Neuter adjective agrees with odnošenje; use tranzitivno odnošenje and decline the noun regularly. - **Argumentacija / rationale:** Direct relation lemma, official adjective grammar, and inherited adjacent mathematical use of tranzitivny. The English definition at OL-REL-PROPERTIES lines 28-31 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.76 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-PROPERTIES` · lines 28-31 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-PROPERTIES` lines 28-31 (RESOLVED); `OL-REL-PROPERTIES` lines 28-31 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` line 16003 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/special-properties.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `prěhodno odnošenje` — The native-style calque is less uniform cross-Slavically and lacks the inherited mathematical adjective attestation. - **Neizvěstnost / uncertainty:** Inherited evidence attests the adjective in an algebraic-law context, not this exact relation-theoretic compound.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Inherited evidence attests the adjective in an algebraic-law context, not this exact relation-theoretic compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation R for which Rxy and Ryz together imply Rxz.’, should ‘tranzitivno odnošenje’ remain preferred over ‘prěhodno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0028 · relation.symmetric - **Revizija / recording:** `OLISV-T0028-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **symmetric relation** — A relation R for which Rxy implies Ryx. - **Medžuslovjansky / Interslavic:** `simetrično odnošenje`; lemma `simetrično odnošenje`; Cyrillic `симетрично одношење` - **Gramatika / use:** noun phrase. Neuter adjective agrees with odnošenje; use simetrično odnošenje and decline the noun regularly. - **Argumentacija / rationale:** Direct relation lemma, regular adjective morphology, inherited mathematical uses of simetričny, and broad comparanda. The English definition at OL-REL-PROPERTIES lines 33-36 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.73 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-PROPERTIES` · lines 33-36 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-PROPERTIES` lines 33-36 (RESOLVED); `OL-REL-PROPERTIES` lines 33-36 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 4950-4962 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/special-properties.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 49, 50, 79 - **Alternativy / alternatives:** `soglasno odnošenje` — The descriptive alternative does not isolate symmetry and is less recognizable as the established mathematical property. - **Neizvěstnost / uncertainty:** No bounded official row attests simetrično odnošenje as a complete term.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official row attests simetrično odnošenje as a complete term. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation R for which Rxy implies Ryx.’, should ‘simetrično odnošenje’ remain preferred over ‘soglasno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0029 · relation.antisymmetric - **Revizija / recording:** `OLISV-T0029-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **antisymmetric relation** — A relation R for which Rxy and Ryx together imply x equals y. - **Medžuslovjansky / Interslavic:** `antisimetrično odnošenje`; lemma `antisimetrično odnošenje`; Cyrillic `антисиметрично одношење` - **Gramatika / use:** noun phrase. Neuter adjective agrees with odnošenje; write anti- as a bound international prefix in antisimetrično. - **Argumentacija / rationale:** Direct relation component, productive international prefixation, regular agreement, and cross-Slavic convergence. The English definition at OL-REL-PROPERTIES lines 38-42 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.7 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-PROPERTIES` · lines 38-42 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-PROPERTIES` lines 38-42 (RESOLVED); `OL-REL-PROPERTIES` lines 38-42 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/special-properties.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 49, 50 - **Alternativy / alternatives:** `protivosimetrično odnošenje` — The hybrid calque is less recognizable than the international anti- formation shared by the comparison languages. - **Neizvěstnost / uncertainty:** The complete prefixed specialist compound is editorial and absent from the bounded official dictionary evidence.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete prefixed specialist compound is editorial and absent from the bounded official dictionary evidence. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation R for which Rxy and Ryx together imply x equals y.’, should ‘antisimetrično odnošenje’ remain preferred over ‘protivosimetrično odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0030 · relation.connected - **Revizija / recording:** `OLISV-T0030-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **connected relation** — A relation R on A such that distinct x and y are related in at least one direction. - **Medžuslovjansky / Interslavic:** `povezano odnošenje`; lemma `povezano odnošenje`; Cyrillic `повезано одношење` - **Gramatika / use:** noun phrase. Neuter adjective agrees with odnošenje; this connectedness sense is local to order relations and should not replace graph connectivity terminology automatically. - **Argumentacija / rationale:** Direct relation component and transparent native derivation, but comparison languages divide between connection stems. The English definition at OL-REL-PROPERTIES lines 57-60 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.6 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-PROPERTIES` · lines 57-60 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-PROPERTIES` lines 57-60 (RESOLVED); `OL-REL-PROPERTIES` lines 57-60 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/special-properties.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `spojeno odnošenje` — Spojeno risks a physical-joining reading; povezano follows the edition's relational formulation more transparently. - **Neizvěstnost / uncertainty:** The specialist sense of povezano is an editorial normalization with material cross-Slavic lexical divergence.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The specialist sense of povezano is an editorial normalization with material cross-Slavic lexical divergence. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation R on A such that distinct x and y are related in at least one direction.’, should ‘povezano odnošenje’ remain preferred over ‘spojeno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0031 · relation.irreflexive - **Revizija / recording:** `OLISV-T0031-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **irreflexive relation** — A relation R on A for which Rxx fails for every x in A. - **Medžuslovjansky / Interslavic:** `irefleksivno odnošenje`; lemma `irefleksivno odnošenje`; Cyrillic `ирефлексивно одношење` - **Gramatika / use:** noun phrase. Neuter adjective agrees with odnošenje; i- is retained as the conventional international negative prefix in this term. - **Argumentacija / rationale:** Direct relation component and a semantically necessary international contrast with mere non-reflexivity. The English definition at OL-REL-PROPERTIES lines 69-72 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.68 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-PROPERTIES` · lines 69-72 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-PROPERTIES` lines 69-72 (RESOLVED); `OL-REL-PROPERTIES` lines 69-72 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/special-properties.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nerefleksivno odnošenje` — Nerefleksivno can mean merely not reflexive, whereas irreflexive requires failure at every diagonal pair. - **Neizvěstnost / uncertainty:** The bounded official sources do not directly attest the irefleksivno specialist adjective.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The bounded official sources do not directly attest the irefleksivno specialist adjective. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation R on A for which Rxx fails for every x in A.’, should ‘irefleksivno odnošenje’ remain preferred over ‘nerefleksivno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0032 · relation.asymmetric - **Revizija / recording:** `OLISV-T0032-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **asymmetric relation** — A relation R for which no pair x and y satisfies both Rxy and Ryx. - **Medžuslovjansky / Interslavic:** `asimetrično odnošenje`; lemma `asimetrično odnošenje`; Cyrillic `асиметрично одношење` - **Gramatika / use:** noun phrase. Neuter adjective agrees with odnošenje; distinguish asimetrično from antisimetrično. - **Argumentacija / rationale:** Direct relation component, regular international adjective, and a stable logical contrast across comparanda. The English definition at OL-REL-PROPERTIES lines 74-77 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.7 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-PROPERTIES` · lines 74-77 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-PROPERTIES` lines 74-77 (RESOLVED); `OL-REL-PROPERTIES` lines 74-77 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/special-properties.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 79 - **Alternativy / alternatives:** `nesimetrično odnošenje` — Nesimetrično says only that symmetry fails and does not express the stronger asymmetric condition. - **Neizvěstnost / uncertainty:** No bounded official dictionary row directly attests the complete specialist compound.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official dictionary row directly attests the complete specialist compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation R for which no pair x and y satisfies both Rxy and Ryx.’, should ‘asimetrično odnošenje’ remain preferred over ‘nesimetrično odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0033 · relation.equivalence - **Revizija / recording:** `OLISV-T0033-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **equivalence relation** — A relation that is reflexive, symmetric, and transitive. - **Medžuslovjansky / Interslavic:** `odnošenje ekvivalentnosti`; lemma `odnošenje ekvivalentnosti`; Cyrillic `одношење еквивалентности` - **Gramatika / use:** noun phrase. Use ekvivalentnost in the genitive singular after odnošenje; decline odnošenje as the head noun. - **Argumentacija / rationale:** Direct relation lemma plus inherited mathematical ekvivalentnost and klasa usage in an adjacent classification context. The English definition at OL-REL-EQUIVALENCE lines 17-21 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.8 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-EQUIVALENCE` · lines 17-21 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-EQUIVALENCE` lines 17-21 (RESOLVED); `OL-REL-EQUIVALENCE` lines 17-21 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-44` line 168 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/equivalence-relations.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 17, 25, 32, 45 - **Alternativy / alternatives:** `ekvivalentno odnošenje` — The genitive construction more clearly names the relation type and matches the edition's selected heading. - **Neizvěstnost / uncertainty:** No bounded official dictionary row attests the full relation-theoretic compound.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official dictionary row attests the full relation-theoretic compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation that is reflexive, symmetric, and transitive.’, should ‘odnošenje ekvivalentnosti’ remain preferred over ‘ekvivalentno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0034 · relation.equivalence-class - **Revizija / recording:** `OLISV-T0034-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **equivalence class** — For x under an equivalence relation R, the set of all y such that Rxy. - **Medžuslovjansky / Interslavic:** `klasa ekvivalentnosti`; lemma `klasa ekvivalentnosti`; Cyrillic `класа еквивалентности` - **Gramatika / use:** noun phrase. Use ekvivalentnost in the genitive singular after klasa; plural is klasy ekvivalentnosti. - **Argumentacija / rationale:** Inherited mathematical use combines klasa with ekvivalentny, while the Open Logic definition fixes the set-theoretic sense. The English definition at OL-REL-EQUIVALENCE lines 31-36 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.78 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-EQUIVALENCE` · lines 31-36 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-EQUIVALENCE` lines 31-36 (RESOLVED); `OL-REL-EQUIVALENCE` lines 31-36 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-44` line 168 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/equivalence-relations.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 33 - **Alternativy / alternatives:** `razred ekvivalentnosti` — Razred is viable in part of South Slavic, but klasa has stronger inherited mathematical continuity in the selected corpus. - **Neizvěstnost / uncertainty:** The exact compound klasa ekvivalentnosti is not directly attested in the bounded official dictionary source.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact compound klasa ekvivalentnosti is not directly attested in the bounded official dictionary source. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘For x under an equivalence relation R, the set of all y such that Rxy.’, should ‘klasa ekvivalentnosti’ remain preferred over ‘razred ekvivalentnosti’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0035 · relation.quotient-set - **Revizija / recording:** `OLISV-T0035-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **quotient set** — The set of all equivalence classes of a set under an equivalence relation. - **Medžuslovjansky / Interslavic:** `kvocient množstva po odnošenju`; lemma `kvocient množstva po odnošenju`; Cyrillic `квоциент множства по одношењу` - **Gramatika / use:** noun phrase. When the base set and relation are explicit, the short form kvocient is permitted; otherwise retain the full genitive phrase. - **Argumentacija / rationale:** Direct inherited mathematical use of kvocient plus a definition-bound compound that disambiguates the set-theoretic sense. The English definition at OL-REL-EQUIVALENCE lines 31-36 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-EQUIVALENCE` · lines 31-36 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-EQUIVALENCE` lines 31-36 (RESOLVED); `OL-REL-EQUIVALENCE` lines 31-36 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-45` lines 533 and 604 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/equivalence-relations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `faktorno množstvo` — The factor-set calque is widespread but collides with factor terminology; kvocient has direct inherited mathematical support. - **Neizvěstnost / uncertainty:** Inherited kvocient examples are algebraic quotients, not this exact quotient-set construction.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Inherited kvocient examples are algebraic quotients, not this exact quotient-set construction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The set of all equivalence classes of a set under an equivalence relation.’, should ‘kvocient množstva po odnošenju’ remain preferred over ‘faktorno množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0036 · relation.preorder - **Revizija / recording:** `OLISV-T0036-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **preorder** — A relation that is reflexive and transitive. - **Medžuslovjansky / Interslavic:** `prědporedok`; lemma `prědporedok`; Cyrillic `прєдпоредок` - **Gramatika / use:** noun. Masculine inanimate noun; genitive singular prědporedka and nominative plural prědporedky. - **Argumentacija / rationale:** Transparent derivation from inherited poredok and East Slavic convergence, with notable West and South Slavic variation. The English definition at OL-REL-ORDERS lines 22-25 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.58 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-ORDERS` · lines 22-25 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-ORDERS` lines 22-25 (RESOLVED); `OL-REL-ORDERS` lines 22-25 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 2466 and 4914 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/orders.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 22, 28, 49 - **Alternativy / alternatives:** `kvaziporedok` — Kvazi- is recognizable in Czech usage, but prěd- preserves the direct structural relation to poredok across East Slavic comparanda. - **Neizvěstnost / uncertainty:** No bounded official source directly attests prědporedok; comparison languages do not converge on one stem.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official source directly attests prědporedok; comparison languages do not converge on one stem. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation that is reflexive and transitive.’, should ‘prědporedok’ remain preferred over ‘kvaziporedok’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0037 · relation.partial-order - **Revizija / recording:** `OLISV-T0037-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **partial order** — An antisymmetric preorder. - **Medžuslovjansky / Interslavic:** `čestičny poredok`; lemma `čestičny poredok`; Cyrillic `честичны поредок` - **Gramatika / use:** noun phrase. Masculine adjective agrees with poredok; decline the phrase regularly as masculine inanimate. - **Argumentacija / rationale:** Inherited poredok component and strong East/West Slavic support for a part-based adjective, despite South Slavic variation. The English definition at OL-REL-ORDERS lines 27-30 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.66 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-ORDERS` · lines 27-30 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-ORDERS` lines 27-30 (RESOLVED); `OL-REL-ORDERS` lines 27-30 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 2466 and 4914 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/orders.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 27, 33, 39, 50, 55, 63, 66, 80, 96, 108, 143 - **Alternativy / alternatives:** `parcialny poredok` — The international adjective is transparent in BCS, but čestičny offers broader East/West Slavic recognizability in this edition. - **Neizvěstnost / uncertainty:** No bounded official source attests čestičny poredok in the order-theoretic sense.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official source attests čestičny poredok in the order-theoretic sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An antisymmetric preorder.’, should ‘čestičny poredok’ remain preferred over ‘parcialny poredok’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0038 · relation.linear-order - **Revizija / recording:** `OLISV-T0038-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **linear order** — A connected partial order, also called a total order. - **Medžuslovjansky / Interslavic:** `linearny poredok`; lemma `linearny poredok`; Cyrillic `линеарны поредок` - **Gramatika / use:** noun phrase. Masculine adjective agrees with poredok; polny poredok may be mentioned as a synonym, but linearny poredok is preferred. - **Argumentacija / rationale:** Inherited poredok component and near-universal comparison-language support for the linear adjective. The English definition at OL-REL-ORDERS lines 32-35 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.7 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-ORDERS` · lines 32-35 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-ORDERS` lines 32-35 (RESOLVED); `OL-REL-ORDERS` lines 32-35 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 2466 and 4914 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/orders.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 32, 38, 89, 95, 108, 109, 145, 160 - **Alternativy / alternatives:** `polny poredok` — The source gives total and linear order; linearny has the strongest six-language international convergence and avoids overloading polny. - **Neizvěstnost / uncertainty:** The complete phrase is not directly attested in the bounded official Interslavic dictionary evidence.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete phrase is not directly attested in the bounded official Interslavic dictionary evidence. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A connected partial order, also called a total order.’, should ‘linearny poredok’ remain preferred over ‘polny poredok’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0039 · relation.strict-order - **Revizija / recording:** `OLISV-T0039-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **strict order** — A relation that is irreflexive, asymmetric, and transitive. - **Medžuslovjansky / Interslavic:** `strogy poredok`; lemma `strogy poredok`; Cyrillic `строгы поредок` - **Gramatika / use:** noun phrase. Masculine adjective agrees with poredok; use strogy linearny poredok for the connected subtype. - **Argumentacija / rationale:** Inherited poredok component with East and South Slavic support for a strictness stem; West Slavic comparanda diverge. The English definition at OL-REL-ORDERS lines 82-85 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.65 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-ORDERS` · lines 82-85 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-ORDERS` lines 82-85 (RESOLVED); `OL-REL-ORDERS` lines 82-85 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` lines 2466 and 4914 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/orders.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 84, 85, 90, 100, 103, 107, 113, 144 - **Alternativy / alternatives:** `ostry poredok` — Ostry aligns with Polish and Czech but strogy is clearer across East and South Slavic and already selected in the edition. - **Neizvěstnost / uncertainty:** The specialist phrase is editorial and comparison languages divide between strict and sharp stems.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The specialist phrase is editorial and comparison languages divide between strict and sharp stems. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation that is irreflexive, asymmetric, and transitive.’, should ‘strogy poredok’ remain preferred over ‘ostry poredok’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0040 · relation.directed-graph - **Revizija / recording:** `OLISV-T0040-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **directed graph** — A pair consisting of a vertex set V and an edge relation E contained in V squared. - **Medžuslovjansky / Interslavic:** `orientovany graf`; lemma `orientovany graf`; Cyrillic `ориентованы граф` - **Gramatika / use:** noun phrase. Masculine adjective agrees with graf; genitive singular orientovanogo grafa and nominative plural orientovane grafy. - **Argumentacija / rationale:** International graph stem and broad comparison-language recognition, with transparent regular adjective agreement. The English definition at OL-REL-GRAPHS lines 24-27 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.68 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-GRAPHS` · lines 24-27 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-GRAPHS` lines 24-27 (RESOLVED); `OL-REL-GRAPHS` lines 24-27 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/graphs.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 23, 24, 36, 37 - **Alternativy / alternatives:** `usměrjeny graf` — The native direction calque is strong in Polish and BCS, but orientovany maximizes direct recognition in East Slavic, Czech, and Bulgarian. - **Neizvěstnost / uncertainty:** No bounded official dictionary row directly attests orientovany graf.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official dictionary row directly attests orientovany graf. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A pair consisting of a vertex set V and an edge relation E contained in V squared.’, should ‘orientovany graf’ remain preferred over ‘usměrjeny graf’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0041 · relation.tree - **Revizija / recording:** `OLISV-T0041-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **tree** — A partially ordered set with a unique least root and well-ordered predecessor sets. - **Medžuslovjansky / Interslavic:** `drěvo`; lemma `drěvo`; Cyrillic `дрєво` - **Gramatika / use:** noun. Neuter noun; genitive singular drěva, nominative plural drěva. The set-theoretic sense is determined by context. - **Argumentacija / rationale:** A highly transparent inherited Slavic noun with broad cognacy, though Czech and BCS choose different everyday roots. The English definition at OL-REL-TREES lines 49-54 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.67 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-TREES` · lines 49-54 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-TREES` lines 49-54 (RESOLVED); `OL-REL-TREES` lines 49-54 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/trees.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 13, 15, 49, 50, 57, 67, 85, 103, 107, 115, 118, 125, 131 - **Alternativy / alternatives:** `strom` — Strom is favored in Czech and Slovak, but drěvo has stronger East, Polish, and Bulgarian cognacy and was selected consistently in the edition. - **Neizvěstnost / uncertainty:** The bounded official evidence does not directly certify drěvo for the set-theoretic specialist sense.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The bounded official evidence does not directly certify drěvo for the set-theoretic specialist sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A partially ordered set with a unique least root and well-ordered predecessor sets.’, should ‘drěvo’ remain preferred over ‘strom’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0042 · relation.branch - **Revizija / recording:** `OLISV-T0042-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **branch of a tree** — A maximal chain in a tree. - **Medžuslovjansky / Interslavic:** `větva`; lemma `větva`; Cyrillic `вєтва` - **Gramatika / use:** noun. Feminine noun; genitive singular větvy and nominative plural větvy. Use with a genitive tree phrase when needed. - **Argumentacija / rationale:** Transparent East/West Slavic cognacy but substantial lexical divergence in Ukrainian, Polish, BCS, and Bulgarian. The English definition at OL-REL-TREES lines 90-98 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.61 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-TREES` · lines 90-98 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-TREES` lines 90-98 (RESOLVED); `OL-REL-TREES` lines 90-98 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/trees.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 92 - **Alternativy / alternatives:** `grana` — Grana is natural in BCS but větva provides stronger Russian and Czech cognacy and matches the edition's tree terminology. - **Neizvěstnost / uncertainty:** No bounded official dictionary row attests větva in the order-theoretic tree sense.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official dictionary row attests větva in the order-theoretic tree sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A maximal chain in a tree.’, should ‘větva’ remain preferred over ‘grana’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0043 · relation.inverse - **Revizija / recording:** `OLISV-T0043-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **inverse relation** — The relation obtained by reversing every ordered pair in a relation. - **Medžuslovjansky / Interslavic:** `obratno odnošenje`; lemma `obratno odnošenje`; Cyrillic `обратно одношење` - **Gramatika / use:** noun phrase. Neuter adjective agrees with odnošenje; the relational context distinguishes it from obratna funkcija. - **Argumentacija / rationale:** Direct official relation component and broad cross-Slavic support for either the selected native stem or a close inverse synonym. The English definition at OL-REL-OPERATIONS lines 19-24 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-OPERATIONS` · lines 19-24 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-OPERATIONS` lines 19-24 (RESOLVED); `OL-REL-OPERATIONS` lines 19-24 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/operations.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 23 - **Alternativy / alternatives:** `inverzno odnošenje` — The international alternative is strong in Czech and BCS, but obratno is immediately transparent in East Slavic and Bulgarian and aligns with inverse function. - **Neizvěstnost / uncertainty:** No bounded official row attests the complete inverse-relation phrase.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official row attests the complete inverse-relation phrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The relation obtained by reversing every ordered pair in a relation.’, should ‘obratno odnošenje’ remain preferred over ‘inverzno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0044 · relation.relative-product - **Revizija / recording:** `OLISV-T0044-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **relative product of relations** — For R and S, the relation containing x,z when some y satisfies Rxy and Syz. - **Medžuslovjansky / Interslavic:** `relativny produkt odnošenij`; lemma `relativny produkt odnošenij`; Cyrillic `релативны продукт одношениј` - **Gramatika / use:** noun phrase. Use genitive plural odnošenij after produkt when the operands are not already named; the short form relativny produkt is permitted locally. - **Argumentacija / rationale:** Direct relation component and transparent international modifiers, but conventions differ on relative product versus composition. The English definition at OL-REL-OPERATIONS lines 25-27 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.6 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-OPERATIONS` · lines 25-27 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-OPERATIONS` lines 25-27 (RESOLVED); `OL-REL-OPERATIONS` lines 25-27 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/operations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kompozicija odnošenij` — Composition is a related convention with possible operand-order ambiguity; the source explicitly names relative product. - **Neizvěstnost / uncertainty:** Terminological and operand-order conventions vary across the literature, and no exact official Interslavic entry was found.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Terminological and operand-order conventions vary across the literature, and no exact official Interslavic entry was found. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘For R and S, the relation containing x,z when some y satisfies Rxy and Syz.’, should ‘relativny produkt odnošenij’ remain preferred over ‘kompozicija odnošenij’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0045 · relation.transitive-closure - **Revizija / recording:** `OLISV-T0045-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **transitive closure** — The least transitive extension represented as the union of all positive powers of a relation. - **Medžuslovjansky / Interslavic:** `tranzitivno zatvorjenje`; lemma `tranzitivno zatvorjenje`; Cyrillic `транзитивно затворјење` - **Gramatika / use:** noun phrase. Neuter adjective agrees with zatvorjenje; use refleksivno-tranzitivno zatvorjenje for the closure that also adds identity. - **Argumentacija / rationale:** Inherited adjacent use of tranzitivny plus broad Slavic closure morphology, with a documented East/West versus South lexical split. The English definition at OL-REL-OPERATIONS lines 50-57 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.65 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-REL-OPERATIONS` · lines 50-57 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-REL-OPERATIONS` lines 50-57 (RESOLVED); `OL-REL-OPERATIONS` lines 50-57 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[14174]; dictionary_id=1992 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-BASE` line 16003 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/operations.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 52, 54, 58, 72 - **Alternativy / alternatives:** `tranzitivno zamknjenje` — The zamk- family is strong in East/West Slavic, but zatvorjenje is clearer to South Slavic readers and is fixed in the edition. - **Neizvěstnost / uncertainty:** The full specialist compound is editorial; comparison languages diverge on the closure noun.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The full specialist compound is editorial; comparison languages diverge on the closure noun. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The least transitive extension represented as the union of all positive powers of a relation.’, should ‘tranzitivno zatvorjenje’ remain preferred over ‘tranzitivno zamknjenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0046 · function.codomain - **Revizija / recording:** `OLISV-T0046-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **codomain** — The declared target set B of a function f from A to B. - **Medžuslovjansky / Interslavic:** `kodomena funkcije`; lemma `kodomena funkcije`; Cyrillic `кодомена функције` - **Gramatika / use:** noun. Kodomena is feminine; use kodomena as the short form and genitive funkcije when the governing function is named. - **Argumentacija / rationale:** Direct official support for funkcija and wide specialist recognition of the international codomain stem, despite West Slavic calques. The English definition at OL-FUN-BASICS lines 28-40 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.68 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-BASICS` · lines 28-40 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-FUN-BASICS` lines 28-40 (RESOLVED); `OL-FUN-BASICS` lines 28-40 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/function-basics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `protivdomena funkcije` — The calque follows Polish but is less recognizable elsewhere than the international kodomena form. - **Neizvěstnost / uncertainty:** The official row supports funkcija only; kodomena itself is an editorial specialist selection.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The official row supports funkcija only; kodomena itself is an editorial specialist selection. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The declared target set B of a function f from A to B.’, should ‘kodomena funkcije’ remain preferred over ‘protivdomena funkcije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0047 · function.range - **Revizija / recording:** `OLISV-T0047-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **range of a function** — The subset of the codomain consisting of values attained by a function. - **Medžuslovjansky / Interslavic:** `obraz funkcije`; lemma `obraz funkcije`; Cyrillic `образ функције` - **Gramatika / use:** noun phrase. Obraz is masculine; use genitive singular funkcije. Do not confuse the attained range with the declared kodomena. - **Argumentacija / rationale:** Direct function component and inherited mapping uses of the obraz stem, with substantial lexical divergence among comparanda. The English definition at OL-FUN-BASICS lines 38-40 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.66 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-BASICS` · lines 38-40 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-FUN-BASICS` lines 38-40 (RESOLVED); `OL-FUN-BASICS` lines 38-40 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-44` lines 213, 392, and 535 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/function-basics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 40, 62, 102 - **Alternativy / alternatives:** `oblast vrednostij` — The descriptive alternative is clear but longer; obraz aligns with the edition's mapping vocabulary and South/Bulgarian mathematical usage. - **Neizvěstnost / uncertainty:** No bounded official row attests obraz specifically for the range of a function.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official row attests obraz specifically for the range of a function. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The subset of the codomain consisting of values attained by a function.’, should ‘obraz funkcije’ remain preferred over ‘oblast vrednostij’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0048 · function.injective - **Revizija / recording:** `OLISV-T0048-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **injective function** — A function for which every codomain element has at most one preimage. - **Medžuslovjansky / Interslavic:** `injektivna funkcija`; lemma `injektivna funkcija`; Cyrillic `инјективна функција` - **Gramatika / use:** noun phrase. Feminine adjective agrees with funkcija; the adjective alone may be used predicatively when the function is explicit. - **Argumentacija / rationale:** Direct official function lemma, regular adjective agreement, and strong international recognition in East and South Slavic. The English definition at OL-FUN-KINDS lines 64-68 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.68 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-KINDS` · lines 64-68 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-FUN-KINDS` lines 64-68 (RESOLVED); `OL-FUN-KINDS` lines 64-68 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/function-kinds.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `jedno-jednoznačna funkcija` — The descriptive alternative is cross-Slavically uneven and longer; injektivna is concise and internationally recognizable. - **Neizvěstnost / uncertainty:** Polish and Czech favor native descriptive terminology, and no official row attests the complete Interslavic compound.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish and Czech favor native descriptive terminology, and no official row attests the complete Interslavic compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A function for which every codomain element has at most one preimage.’, should ‘injektivna funkcija’ remain preferred over ‘jedno-jednoznačna funkcija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0049 · function.surjective - **Revizija / recording:** `OLISV-T0049-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **surjective function** — A function whose range equals its codomain. - **Medžuslovjansky / Interslavic:** `surjektivna funkcija`; lemma `surjektivna funkcija`; Cyrillic `сурјективна функција` - **Gramatika / use:** noun phrase. Feminine adjective agrees with funkcija; the adjective alone may be used predicatively when the function is explicit. - **Argumentacija / rationale:** Direct official function lemma and international recognition in East and South Slavic, with divergent Polish and Czech conventions. The English definition at OL-FUN-KINDS lines 29-37 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.67 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-KINDS` · lines 29-37 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-FUN-KINDS` lines 29-37 (RESOLVED); `OL-FUN-KINDS` lines 29-37 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/function-kinds.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `funkcija na` — The short native construction is established in Polish and Czech but is syntactically opaque across the full comparison set. - **Neizvěstnost / uncertainty:** The specialist adjective is editorial and lacks a direct bounded official dictionary row.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The specialist adjective is editorial and lacks a direct bounded official dictionary row. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A function whose range equals its codomain.’, should ‘surjektivna funkcija’ remain preferred over ‘funkcija na’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0050 · function.bijective - **Revizija / recording:** `OLISV-T0050-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **bijective function** — A function that is both injective and surjective. - **Medžuslovjansky / Interslavic:** `bijektivna funkcija`; lemma `bijektivna funkcija`; Cyrillic `бијективна функција` - **Gramatika / use:** noun phrase. Feminine adjective agrees with funkcija; bijekcija may be used for the corresponding noun when context requires it. - **Argumentacija / rationale:** Direct official function lemma and broad international specialist convergence, notwithstanding descriptive Polish usage. The English definition at OL-FUN-KINDS lines 112-116 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.71 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-KINDS` · lines 112-116 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-FUN-KINDS` lines 112-116 (RESOLVED); `OL-FUN-KINDS` lines 112-116 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/function-kinds.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `vzajemno jednoznačna funkcija` — The descriptive calque is clear in Polish and Russian traditions but longer and less morphologically uniform than bijektivna. - **Neizvěstnost / uncertainty:** No bounded official dictionary row directly attests bijektivna or bijekcija.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official dictionary row directly attests bijektivna or bijekcija. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A function that is both injective and surjective.’, should ‘bijektivna funkcija’ remain preferred over ‘vzajemno jednoznačna funkcija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0051 · function.graph - **Revizija / recording:** `OLISV-T0051-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **graph of a function** — The relation of ordered pairs x,y such that f(x) equals y. - **Medžuslovjansky / Interslavic:** `graf funkcije`; lemma `graf funkcije`; Cyrillic `граф функције` - **Gramatika / use:** noun phrase. Graf is masculine; use genitive singular funkcije. This relational graph is distinct from an illustrative plot unless context identifies them. - **Argumentacija / rationale:** Direct function component and broad recognition of graf or its close derivative, with a deliberate relation-versus-plot distinction. The English definition at OL-FUN-RELATIONS lines 24-30 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.67 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-RELATIONS` · lines 24-30 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-FUN-RELATIONS` lines 24-30 (RESOLVED); `OL-FUN-RELATIONS` lines 24-30 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/functions-relations.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 24, 33 - **Alternativy / alternatives:** `grafik funkcije` — Grafik can suggest a plotted curve, while the Open Logic definition treats the graph extensionally as a relation. - **Neizvěstnost / uncertainty:** No bounded official row directly attests graf funkcije in this extensional sense.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded official row directly attests graf funkcije in this extensional sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The relation of ordered pairs x,y such that f(x) equals y.’, should ‘graf funkcije’ remain preferred over ‘grafik funkcije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0052 · function.inverse - **Revizija / recording:** `OLISV-T0052-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **inverse function** — A function g that undoes f on both sides: f(g(y)) equals y and g(f(x)) equals x. - **Medžuslovjansky / Interslavic:** `obratna funkcija`; lemma `obratna funkcija`; Cyrillic `обратна функција` - **Gramatika / use:** noun phrase. Feminine adjective agrees with funkcija; instrumental singular is obratnoju funkcijeju and accusative singular obratnu funkciju. - **Argumentacija / rationale:** Direct official function component, transparent native adjective, and strong comparison-language support for the selected or synonymous inverse stem. The English definition at OL-FUN-INVERSES lines 27-33 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-INVERSES` · lines 27-33 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-FUN-INVERSES` lines 27-33 (RESOLVED); `OL-FUN-INVERSES` lines 27-33 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/inverses.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 65, 97 - **Alternativy / alternatives:** `inverzna funkcija` — The international form is strong in Czech and BCS, but obratna maximizes immediate East Slavic and Bulgarian transparency. - **Neizvěstnost / uncertainty:** The complete compound lacks a direct bounded official dictionary attestation.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound lacks a direct bounded official dictionary attestation. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A function g that undoes f on both sides: f(g(y)) equals y and g(f(x)) equals x.’, should ‘obratna funkcija’ remain preferred over ‘inverzna funkcija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0053 · function.restriction - **Revizija / recording:** `OLISV-T0053-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **restriction of a function** — The function obtained by limiting a function's domain to a subset while retaining its values. - **Medžuslovjansky / Interslavic:** `ograničenje funkcije`; lemma `ograničenje funkcije`; Cyrillic `ограничење функције` - **Gramatika / use:** noun phrase. Ograničenje is neuter; use genitive singular funkcije and specify the restricted subset with na plus accusative. - **Argumentacija / rationale:** Direct function component and transparent Slavic restriction morphology, with marked terminology divergence in Ukrainian, Polish, Czech, and BCS. The English definition at OL-FUN-RELATIONS lines 78-86 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.63 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-RELATIONS` · lines 78-86 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-FUN-RELATIONS` lines 78-86 (RESOLVED); `OL-FUN-RELATIONS` lines 78-86 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/functions-relations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `restrikcija funkcije` — The international form is strong in Czech and BCS, but ograničenje is directly understandable in East and South Slavic and fixed in the edition. - **Neizvěstnost / uncertainty:** The exact specialist compound is editorial and not directly attested in the bounded official evidence.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact specialist compound is editorial and not directly attested in the bounded official evidence. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The function obtained by limiting a function's domain to a subset while retaining its values.’, should ‘ograničenje funkcije’ remain preferred over ‘restrikcija funkcije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0054 · function.image-of-set - **Revizija / recording:** `OLISV-T0054-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **image of a set under a function** — For C in the domain of f, the set of all values f(x) with x in C. - **Medžuslovjansky / Interslavic:** `obraz množstva pri funkciji`; lemma `obraz množstva pri funkciji`; Cyrillic `образ множства при функцији` - **Gramatika / use:** noun phrase. Obraz is masculine; use genitive singular množstva and locative singular funkciji after pri. - **Argumentacija / rationale:** Direct function component, inherited mathematical mapping uses of obraz, and strong East/West/Bulgarian comparison support. The English definition at OL-FUN-RELATIONS lines 78-90 fixes the intended sense; this revision selects an edition term without asserting official or native certification. - **Uvěrjenost / status:** 0.7 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FUN-RELATIONS` · lines 78-90 · English Open Logic occurrence, definition, and sense boundary - **Evidence loci:** `OL-FUN-RELATIONS` lines 78-90 (RESOLVED); `OL-FUN-RELATIONS` lines 78-90 (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=ru (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=uk (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=pl (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=cs (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; columns=hr,sr (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289; column=bg (RESOLVED); `ISV-DICT-LIVE-20260824` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `NOETHER-44` lines 213, 392, and 535 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/functions-relations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `priměnjenje funkcije na množstvo` — The source permits application terminology, but obraz is shorter and distinguishes the resulting set from the operation. - **Neizvěstnost / uncertainty:** BCS commonly prefers slika, and no bounded official row attests the complete phrase.; Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: BCS commonly prefers slika, and no bounded official row attests the complete phrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist surfaces are editorial comparanda from the bounded evidence review and are not represented as official or native-certified forms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘For C in the domain of f, the set of all values f(x) with x in C.’, should ‘obraz množstva pri funkciji’ remain preferred over ‘priměnjenje funkcije na množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0055 · proof.tableau - **Revizija / recording:** `OLISV-T0055-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **tableau proof** — A tree of signed formulas generated by inference rules and used to test whether every branch closes. - **Medžuslovjansky / Interslavic:** `tabelarny dokaz`; lemma `tabelarny dokaz`; Cyrillic `табеларны доказ` - **Gramatika / use:** noun phrase. Masculine noun phrase; tabelarny agrees with dokaz. The source macro tableau remains unchanged where the build system requires it. - **Argumentacija / rationale:** Tabelarny transparently connects the method to a table-like branching display, while dokaz keeps the practical proof function explicit for Slavic readers who may not know the borrowed French-English label tableau. - **Uvěrjenost / status:** 0.64 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-TAB-RULES` · lines 13-55 · English Open Logic definition, construction, and closure sense boundary - **Evidence loci:** `OL-TAB-RULES` lines 13-55 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/tableaux/rules-and-proofs.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `tableau` — The unadapted loan is opaque to many Slavic readers and is retained only as a protected source macro where technically required. - **Neizvěstnost / uncertainty:** The national traditions distribute this concept across table, tableau, and semantic-tree terminology; the edition compound prioritizes transparent function over one national convention. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The national traditions distribute this concept across table, tableau, and semantic-tree terminology; the edition compound prioritizes transparent function over one national convention. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A tree of signed formulas generated by inference rules and used to test whether every branch closes.’, should ‘tabelarny dokaz’ remain preferred over ‘tableau’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0056 · logic.signed-formula - **Revizija / recording:** `OLISV-T0056-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **signed formula** — A formula paired with a truth value, used as a node in a tableau proof. - **Medžuslovjansky / Interslavic:** `znakova formula`; lemma `znakova formula`; Cyrillic `знакова формула` - **Gramatika / use:** noun phrase. Feminine noun phrase; znakova agrees with formula and refers to the attached truth sign, not to character encoding. - **Argumentacija / rationale:** Znakova formula is compositionally transparent and closely recognizable in East and South Slavic; the use note prevents confusion with typographic or encoding senses of sign. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-TAB-RULES` · lines 15-35 · English Open Logic definition and tableau-use boundary - **Evidence loci:** `OL-TAB-RULES` lines 15-35 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/tableaux/rules-and-proofs.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `označena formula` — Označena can mean merely marked or designated and does not as directly identify the attached truth-value sign. - **Neizvěstnost / uncertainty:** Polish and BCS comparanda favor analytic or participial forms; the edition compound remains provisional pending broader specialist-corpus evidence. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish and BCS comparanda favor analytic or participial forms; the edition compound remains provisional pending broader specialist-corpus evidence. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formula paired with a truth value, used as a node in a tableau proof.’, should ‘znakova formula’ remain preferred over ‘označena formula’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0057 · proof.inference-rule - **Revizija / recording:** `OLISV-T0057-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **rule of inference** — A licensed rule that extends a derivation or tableau from specified premises to specified conclusions. - **Medžuslovjansky / Interslavic:** `pravilo vyvoda`; lemma `pravilo vyvoda`; Cyrillic `правило вывода` - **Gramatika / use:** noun phrase. Neuter head noun with genitive singular vyvoda; use pravila vyvoda in the plural. - **Argumentacija / rationale:** Pravilo vyvoda directly names a rule governing inferential output and is immediately recognizable in East Slavic, while remaining compositional for readers accustomed to West or South Slavic alternatives. - **Uvěrjenost / status:** 0.69 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-TAB-RULES` · lines 33-41 · English Open Logic rule-application and branching sense boundary - **Evidence loci:** `OL-TAB-RULES` lines 33-41 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/tableaux/rules-and-proofs.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `pravilo zaključenja` — Zaključenje can denote either the act or its conclusion and is less stable across proof systems than the established edition head vyvod. - **Neizvěstnost / uncertainty:** West and South Slavic traditions often lexicalize inference with wnioskowanie, odvození, or izvođenje rather than a vyvod cognate. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: West and South Slavic traditions often lexicalize inference with wnioskowanie, odvození, or izvođenje rather than a vyvod cognate. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A licensed rule that extends a derivation or tableau from specified premises to specified conclusions.’, should ‘pravilo vyvoda’ remain preferred over ‘pravilo zaključenja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0058 · proof.soundness - **Revizija / recording:** `OLISV-T0058-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **soundness** — The property that a proof system derives only semantically valid consequences. - **Medžuslovjansky / Interslavic:** `korektnost`; lemma `korektnost`; Cyrillic `коректност` - **Gramatika / use:** noun. Feminine abstract noun; use korektny for the corresponding adjective and teorema korektnosti for the theorem. - **Argumentacija / rationale:** Korektnost matches the established mathematical sense in several Slavic traditions and avoids the misleading literal calque of English soundness as an acoustic or physical property. - **Uvěrjenost / status:** 0.81 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-TAB-SOUNDNESS` · lines 13-35 and 53-55 · English Open Logic explanation and theorem boundary - **Evidence loci:** `OL-TAB-SOUNDNESS` lines 13-35 and 53-55 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/tableaux/soundness.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 13, 18, 29, 54 - **Alternativy / alternatives:** `zdravost` — A literal calque of English soundness suggests health or physical integrity and obscures the semantic-preservation theorem. - **Neizvěstnost / uncertainty:** Polish specialist usage prefers poprawność, so the selected international form is not equally native-looking across all Slavic readerships. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish specialist usage prefers poprawność, so the selected international form is not equally native-looking across all Slavic readerships. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The property that a proof system derives only semantically valid consequences.’, should ‘korektnost’ remain preferred over ‘zdravost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0059 · proof.consistency - **Revizija / recording:** `OLISV-T0059-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **consistency** — The property of a set of formulas for which no closed proof of contradiction exists under the selected proof system. - **Medžuslovjansky / Interslavic:** `nesprotivnost`; lemma `nesprotivnost`; Cyrillic `неспротивност` - **Gramatika / use:** noun. Feminine abstract noun; protivny and nesprotivny are the corresponding negative and positive adjectives in this edition. - **Argumentacija / rationale:** Nesprotivnost exposes the absence of contradiction directly and bridges the widespread Slavic protiv/sprzecz/spor families without relying on the less transparent international loan konsistentnost. - **Uvěrjenost / status:** 0.7 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-TAB-PTN` · lines 16 and 53-64 · English Open Logic consistency definition and proof-theoretic boundary - **Evidence loci:** `OL-TAB-PTN` lines 16 and 53-64 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/tableaux/proof-theoretic-notions.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 16, 53 - **Alternativy / alternatives:** `konsistentnost` — The international loan is concise but less immediately parsable to readers without English or specialist Latin-derived vocabulary. - **Neizvěstnost / uncertainty:** Czech and Ukrainian specialist traditions use different lexical roots, and the compact Interslavic form is an edition-level compromise rather than a certified native term. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Czech and Ukrainian specialist traditions use different lexical roots, and the compact Interslavic form is an edition-level compromise rather than a certified native term. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The property of a set of formulas for which no closed proof of contradiction exists under the selected proof system.’, should ‘nesprotivnost’ remain preferred over ‘konsistentnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0060 · logic.eigenvariable - **Revizija / recording:** `OLISV-T0060-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **eigenvariable** — A fresh variable or constant constrained not to occur above the relevant quantifier-rule application. - **Medžuslovjansky / Interslavic:** `eigenprěměnna`; lemma `eigenprěměnna`; Cyrillic `еигенпрємєнна` - **Gramatika / use:** noun. Feminine compound noun; retain eigen- as the internationally recognizable technical modifier and decline prěměnna regularly. - **Argumentacija / rationale:** The international eigen- modifier sharply distinguishes this proof-theoretic freshness condition from ordinary variable ownership, while prěměnna remains transparent across the edition; the text always explains the condition on first use. - **Uvěrjenost / status:** 0.55 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-TAB-QUANT-EXAMPLES` · lines 15-18, 113-116, and 229-244 · English Open Logic operational condition and rule-ordering boundary - **Evidence loci:** `OL-TAB-QUANT-EXAMPLES` lines 15-18, 113-116, and 229-244 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/tableaux/proving-things-quant.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `svoja prěměnna` — A literal own-variable compound is more Slavic-looking but can be misread as possession and does not uniquely identify the freshness side condition. - **Neizvěstnost / uncertainty:** No official Interslavic dictionary entry for eigenvariable was found in the pinned evidence, and the national Slavic comparanda do not converge on the retained international modifier. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No official Interslavic dictionary entry for eigenvariable was found in the pinned evidence, and the national Slavic comparanda do not converge on the retained international modifier. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A fresh variable or constant constrained not to occur above the relevant quantifier-rule application.’, should ‘eigenprěměnna’ remain preferred over ‘svoja prěměnna’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0061 · logic.completeness - **Revizija / recording:** `OLISV-T0061-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **completeness** — The property that every semantic consequence is derivable in the selected proof system. - **Medžuslovjansky / Interslavic:** `polnota`; lemma `polnota`; Cyrillic `полнота` - **Gramatika / use:** feminine noun. Feminine abstract noun; use polny for the corresponding adjective and teorema polnoty for the theorem. - **Argumentacija / rationale:** Polnota keeps the full/whole semantic core visible to readers across East, West, and South Slavic traditions and has already remained stable throughout the accepted completeness block; it is less morphologically marked than dictionary popȯlnosť and less dependent on an international loan than kompletnost. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-COM-INTRO` · lines 15-66 · English Open Logic motivation, theorem statement, and consequence boundary - **Evidence loci:** `OL-COM-INTRO` lines 15-66 (RESOLVED); `OL-COM-OUTLINE` lines 15-31 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3821-3822]; dictionary_id=4378,10922 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 2; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/outline.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 2, 24 - **Alternativy / alternatives:** `popȯlnosť` — This is a direct dictionary completeness lemma, but its etymological vowel and suffix make the running theorem phrase less immediately transparent than the established edition form.; `kompletnost` — The international stem is broadly recognizable but is less transparent to readers who rely on the native full/whole family and would break accepted edition continuity. - **Neizvěstnost / uncertainty:** The selected surface polnota is not itself a lemma in the pinned dictionary response; it is an edition-level normalization supported by the national comparanda and continuous translated usage. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The selected surface polnota is not itself a lemma in the pinned dictionary response; it is an edition-level normalization supported by the national comparanda and continuous translated usage. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The property that every semantic consequence is derivable in the selected proof system.’, should ‘polnota’ remain preferred over ‘popȯlnosť’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0062 · logic.compactness - **Revizija / recording:** `OLISV-T0062-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **compactness** — The property that satisfiability of every finite subset guarantees satisfiability of the entire set. - **Medžuslovjansky / Interslavic:** `kompaktnost`; lemma `kompaktnost`; Cyrillic `компактност` - **Gramatika / use:** feminine noun. Feminine abstract noun derived from kompaktny; use teorema kompaktnosti for the theorem. - **Argumentacija / rationale:** Kompaktnost preserves the internationally shared compact- root used across most Slavic mathematical traditions and forms a transparent abstract noun; the surrounding definition supplies the non-spatial logical sense, while the Polish divergence is recorded rather than concealed. - **Uvěrjenost / status:** 0.69 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-COM-INTRO` · lines 54-66 · English Open Logic compactness statement and relation to completeness - **Evidence loci:** `OL-COM-INTRO` lines 54-66 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3759]; dictionary_id=33088 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 54, 58, 64 - **Alternativy / alternatives:** `zgustjenost` — A native density-style calque suggests physical packing or topological density and does not identify the finite-subset property stated by Open Logic. - **Neizvěstnost / uncertainty:** The exact abstract noun and specialist logical sense are editorial derivations from a directly attested component, and Polish mathematical usage does not share the selected stem. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact abstract noun and specialist logical sense are editorial derivations from a directly attested component, and Polish mathematical usage does not share the selected stem. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The property that satisfiability of every finite subset guarantees satisfiability of the entire set.’, should ‘kompaktnost’ remain preferred over ‘zgustjenost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0063 · model-theory.saturated-set - **Revizija / recording:** `OLISV-T0063-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **saturated set** — A formula set containing a constant witness for each existential formula in the set. - **Medžuslovjansky / Interslavic:** `nasyćeno množstvo`; lemma `nasyćeno množstvo`; Cyrillic `насычено множство` - **Gramatika / use:** neuter noun phrase. The past passive participle nasyćeny agrees with množstvo; use neuter singular nasyćeno množstvo and abstract noun nasyćenost. - **Argumentacija / rationale:** Nasyćeno množstvo preserves the widely recognizable Slavic saturation root, uses the official participial formation, and directly mirrors the defined property of having enough witnesses; the technical definition prevents the everyday satiation sense from carrying the analysis. - **Uvěrjenost / status:** 0.8 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-COM-HENKIN` · lines 39-45 · English Open Logic formal definition of a saturated set - **Evidence loci:** `OL-COM-HENKIN` lines 39-45 and 72-87 (RESOLVED); `OL-COM-OUTLINE` lines 140-160 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14814-14816]; dictionary_id=28260,28262,28261 (RESOLVED); `ISV-GRAMMAR-VERBS` lines 180-182 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/henkin-expansions.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 40; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/outline.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 141 - **Alternativy / alternatives:** `saturirano množstvo` — The international loan is recognizable to specialists but is less directly parsable across the target readership than the strongly attested native saturation family. - **Neizvěstnost / uncertainty:** The dictionary attests the lexical family rather than the exact model-theoretic compound; the phrase remains an explicitly documented edition-level composition. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary attests the lexical family rather than the exact model-theoretic compound; the phrase remains an explicitly documented edition-level composition. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formula set containing a constant witness for each existential formula in the set.’, should ‘nasyćeno množstvo’ remain preferred over ‘saturirano množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0064 · model-theory.term-model - **Revizija / recording:** `OLISV-T0064-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **term model** — A canonical model whose domain consists of closed terms, or their identity-equivalence classes when identity is present. - **Medžuslovjansky / Interslavic:** `termovy model`; lemma `termovy model`; Cyrillic `термовы модел` - **Gramatika / use:** masculine noun phrase. The relational adjective termovy agrees with masculine model; decline model as a masculine noun and the adjective regularly. - **Argumentacija / rationale:** Termovy model keeps the formal-syntax object term distinct from the broader phrase/expression senses while retaining the directly attested and universally recognizable model; the adjective makes the construction legible without English word order. - **Uvěrjenost / status:** 0.64 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-COM-OUTLINE` · lines 156-167 · English Open Logic term-model construction and identity qualification - **Evidence loci:** `OL-COM-OUTLINE` lines 156-167 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17055-17058]; dictionary_id=36593,2091,8115 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11194]; dictionary_id=19859 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/outline.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 159, 160, 170 - **Alternativy / alternatives:** `izrazovy model` — Izraz is directly glossed as term, phrase, expression, but that breadth risks confusing a formal term with an arbitrary expression in the construction.; `terminovy model` — Termin is directly attested for a term as a phrase, but the accepted Open Logic translation already uses term for the formal syntactic category and termin also carries date or deadline senses. - **Neizvěstnost / uncertainty:** The formal logical term root and adjective termovy are edition-level technical choices rather than direct dictionary lemmas; national specialist compounds are recorded as editorial comparanda. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The formal logical term root and adjective termovy are edition-level technical choices rather than direct dictionary lemmas; national specialist compounds are recorded as editorial comparanda. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A canonical model whose domain consists of closed terms, or their identity-equivalence classes when identity is present.’, should ‘termovy model’ remain preferred over ‘izrazovy model’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0065 · model-theory.factor-structure - **Revizija / recording:** `OLISV-T0065-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **factor structure** — A quotient structure whose domain consists of equivalence classes and whose interpretations are induced from the original structure. - **Medžuslovjansky / Interslavic:** `faktorna struktura`; lemma `faktorna struktura`; Cyrillic `факторна структура` - **Gramatika / use:** feminine noun phrase. The feminine adjective faktorna agrees with struktura; use faktornej struktury in the genitive singular. - **Argumentacija / rationale:** Faktorna struktura follows Open Logic's factor construction, combines the directly supported structure lemma with an inherited factor adjective used in the quotient sense, and keeps Polish and BCS quotient-family divergence visible rather than concealed. - **Uvěrjenost / status:** 0.73 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-COM-IDENTITY` · lines 12-24 and 96-111 · English factorization motivation and factor-structure construction - **Evidence loci:** `OL-COM-IDENTITY` lines 12-24 and 86-111 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6647], wordList[16426]; dictionary_id=16781,16363 (RESOLVED); `NOETHER-44` line 2294 (RESOLVED); `NOETHER-BASE` line 17212 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/identity.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kvocientna struktura` — This is coherent with the existing quotient-set canon, but faktorna struktura more directly matches Open Logic's factor label and the inherited quotient use faktorna grupa.; `faktor-struktura` — The hyphenated calque is less morphologically integrated than the inherited agreeing-adjective pattern faktorna grupa. - **Neizvěstnost / uncertainty:** No bounded source directly attests the complete Interslavic compound faktorna struktura.; The dictionary factor lemma has a broad causal or multiplicative sense and does not itself establish the quotient sense.; Cross-Slavic technical usage divides between factor-family and quotient-family terminology. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No bounded source directly attests the complete Interslavic compound faktorna struktura. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The dictionary factor lemma has a broad causal or multiplicative sense and does not itself establish the quotient sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A quotient structure whose domain consists of equivalence classes and whose interpretations are induced from the original structure.’, should ‘faktorna struktura’ remain preferred over ‘kvocientna struktura’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0066 · set.enumerable - **Revizija / recording:** `OLISV-T0066-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **enumerable set** — A set that is finite or in bijection with the natural numbers; countable in the inclusive sense. - **Medžuslovjansky / Interslavic:** `izčisljivo množstvo`; lemma `izčisljivo množstvo`; Cyrillic `изчисљиво множство` - **Gramatika / use:** neuter noun phrase. The derived adjective izčisljivy agrees regularly; use neuter singular izčisljivo with množstvo and plural izčisljive with plural heads. - **Argumentacija / rationale:** Izčisljivo extends the exact inherited mathematical surface izčisljivo beskonečny to the finite-inclusive superordinate, while -ljiv- keeps countability visibly distinct from canonical izčislimy meaning computable. - **Uvěrjenost / status:** 0.68 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-COM-DOWNWARD-LS` · lines 13-23 · Finite-or-denumerable model range defining the inclusive enumerable class - **Evidence loci:** `OL-COM-DOWNWARD-LS` lines 13-23 (RESOLVED); `NOETHER-BASE` line 12516 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2804], wordList[4308], wordList[4311], wordList[15156]; dictionary_id=5879,1285,35617,36434 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 and 49-51 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/downward-ls.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `izčislimo množstvo` — This is surface-identical to the neuter form of canonical izčislimy and would collapse countability into computability.; `sčisljivo množstvo` — The sčisl- base is transparently connected with counting but lacks the exact inherited specialist occurrence supplied for izčisljivo. - **Neizvěstnost / uncertainty:** The adjective izčisljivy is reconstructed from the inherited surface izčisljivo rather than directly listed in the frozen dictionary.; National specialist comparanda are editorial derivations from catalogued components, and finite-inclusivity conventions are not uniform. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The adjective izčisljivy is reconstructed from the inherited surface izčisljivo rather than directly listed in the frozen dictionary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National specialist comparanda are editorial derivations from catalogued components, and finite-inclusivity conventions are not uniform. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A set that is finite or in bijection with the natural numbers; countable in the inclusive sense.’, should ‘izčisljivo množstvo’ remain preferred over ‘izčislimo množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0067 · set.denumerable - **Revizija / recording:** `OLISV-T0067-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **denumerable set** — A set in bijection with the natural numbers; equivalently, a countably infinite set. - **Medžuslovjansky / Interslavic:** `izčisljivo bezkonečno množstvo`; lemma `izčisljivo bezkonečno množstvo`; Cyrillic `изчисљиво безконечно множство` - **Gramatika / use:** neuter noun phrase. Izčisljivo is an invariant adverb modifying bezkonečny; inflect bezkonečny with the head noun, giving neuter singular izčisljivo bezkonečno množstvo. - **Argumentacija / rationale:** The inherited mathematical corpus directly supplies izčisljivo plus an infinite adjective in the countably infinite sense; the edition normalizes beskonečny to dictionary-backed standard basic bezkonečny while preserving the substantive distinction from computability. - **Uvěrjenost / status:** 0.8 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-COM-DOWNWARD-LS` · lines 13-23 and 32-45 · English denumerable-model occurrences and infinite-enumerable equivalence - **Evidence loci:** `OL-COM-DOWNWARD-LS` lines 13-23 and 32-45 (RESOLVED); `OL-COM-HENKIN` lines 34-36 and 77-79 (RESOLVED); `NOETHER-BASE` line 12516 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2804], wordList[6136], wordList[15156]; dictionary_id=5879,6520,36434 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 49-51 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/downward-ls.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/henkin-expansions.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `sčisljivo bezkonečno množstvo` — The sčisl- base is transparently tied to counting but lacks the exact inherited mathematical phrase attested with izčisljivo.; `izčislimo bezkonečno množstvo` — The -imy form belongs to the canonical computability term and risks meaning computably infinite rather than countably infinite. - **Neizvěstnost / uncertainty:** The frozen dictionary does not directly list izčisljivy or the complete phrase.; All six national specialist phrases are editorial compositions from exact catalogued components rather than direct specialist-dictionary rows. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary does not directly list izčisljivy or the complete phrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: All six national specialist phrases are editorial compositions from exact catalogued components rather than direct specialist-dictionary rows. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A set in bijection with the natural numbers; equivalently, a countably infinite set.’, should ‘izčisljivo bezkonečno množstvo’ remain preferred over ‘sčisljivo bezkonečno množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0068 · set.nonenumerable - **Revizija / recording:** `OLISV-T0068-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **nonenumerable set** — A set that is not enumerable; equivalently, an uncountable set. - **Medžuslovjansky / Interslavic:** `neizčisljivo množstvo`; lemma `neizčisljivo množstvo`; Cyrillic `неизчисљиво множство` - **Gramatika / use:** neuter noun phrase. Transparent ne- negation of izčisljivy; use neuter singular neizčisljivo with množstvo and inflect the adjective regularly with other heads. - **Argumentacija / rationale:** Neizčisljivo is the transparent morphological complement of the selected enumerable term and avoids adopting nesčisljeny, whose direct dictionary sense is ordinary countless or innumerable rather than the exact set-theoretic complement. - **Uvěrjenost / status:** 0.64 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-COM-DOWNWARD-LS` · lines 13-19 and 47-60 · Explicit English nonenumerable-structure and Skolem-paradox occurrences - **Evidence loci:** `OL-COM-DOWNWARD-LS` lines 13-19 and 47-60 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2804], wordList[4308], wordList[4317], wordList[15156]; dictionary_id=5879,1285,35618,36434 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 and 49-51 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/downward-ls.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nesčisljeno množstvo` — The directly attested adjective means countless or innumerable and can function as quantitative hyperbole; it does not precisely negate the selected enumerable predicate.; `neizčislimo množstvo` — This would negate canonical izčislimy in the computability sense and therefore mean noncomputable rather than nonenumerable. - **Neizvěstnost / uncertainty:** The adjective is an edition-level derivation from inherited izčisljivo, not a direct dictionary lemma.; National specialist comparanda are editorially normalized and not independently certified by the bounded dictionary. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The adjective is an edition-level derivation from inherited izčisljivo, not a direct dictionary lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National specialist comparanda are editorially normalized and not independently certified by the bounded dictionary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A set that is not enumerable; equivalently, an uncountable set.’, should ‘neizčisljivo množstvo’ remain preferred over ‘nesčisljeno množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0069 · logic.satisfaction - **Revizija / recording:** `OLISV-T0069-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **satisfaction; satisfy** — The semantic relation in which a structure, under a variable assignment where relevant, makes a formula true. - **Medžuslovjansky / Interslavic:** `zadovoljenje`; lemma `zadovoljenje`; Cyrillic `задовољење` - **Gramatika / use:** neuter noun. Use zadovolnjati for the verb: struktura zadovolnjaje formulu; the participle is zadovolnjeny. - **Argumentacija / rationale:** Zadovoljenje keeps the already established edition family zadovolnjati–zadovoljivy coherent and is immediately recognizable in East and South Slavic. The Open Logic definition narrows the general satisfy family to the structure-assignment-formula relation, while the strong West Slavic fulfil-family alternative remains explicit. - **Uvěrjenost / status:** 0.68 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-SEMANTIC-NOTIONS` · lines 13-27 and 30-39 · English Open Logic occurrence and formal semantic boundary - **Evidence loci:** `OL-FOL-INTRO-SEMANTIC-NOTIONS` lines 13-27 and 30-39 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3815], wordList[7428], wordList[14808], wordList[14811]; dictionary_id=2501,36609,3318,444 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/semantic-notions.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 26, 41 - **Alternativy / alternatives:** `izpȯlnjenje` — Strong in Polish, Czech, and Bulgarian comparanda, but changing roots would split satisfaction from the edition's established satisfiability family.; `zadovoljstvo` — Directly listed but primarily denotes personal contentment rather than the formal semantic relation. - **Neizvěstnost / uncertainty:** No registered dictionary row directly attests zadovoljenje in the formal model-theoretic sense.; West Slavic and Bulgarian specialist traditions favor an izpȯln- or fulfil-family root. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No registered dictionary row directly attests zadovoljenje in the formal model-theoretic sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: West Slavic and Bulgarian specialist traditions favor an izpȯln- or fulfil-family root. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The semantic relation in which a structure, under a variable assignment where relevant, makes a formula true.’, should ‘zadovoljenje’ remain preferred over ‘izpȯlnjenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0070 · logic.satisfiability - **Revizija / recording:** `OLISV-T0070-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **satisfiability** — The property of a formula or set of sentences for which some structure, with a suitable assignment where relevant, satisfies it or all members simultaneously. - **Medžuslovjansky / Interslavic:** `zadovoljivost`; lemma `zadovoljivost`; Cyrillic `задовољивост` - **Gramatika / use:** feminine abstract noun. Use zadovoljivy for satisfiable and nezadovoljivy for unsatisfiable; do not collapse the property into zadovoljenje. - **Argumentacija / rationale:** Zadovoljivost preserves the edition's established satisfaction-family distinction: zadovoljenje names the relation and zadovoljivost the existential property. The compact form is especially transparent to South Slavic readers, while the recorded comparanda expose the competing fulfil-family tradition. - **Uvěrjenost / status:** 0.66 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-SEMANTIC-NOTIONS` · lines 30-39 · English Open Logic definition and simultaneous-satisfaction boundary - **Evidence loci:** `OL-FOL-INTRO-SEMANTIC-NOTIONS` lines 30-39 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3814-3815], wordList[14809], wordList[14811]; dictionary_id=597,2501,37250,444 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/semantic-notions.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 33 - **Alternativy / alternatives:** `izpȯlnimost` — Strongly motivated by Polish, Czech, Bulgarian, and Russian comparanda, but it would break the accepted edition's satisfaction-family continuity.; `zadovoliteljnost` — The directly listed adjective means satisfactory, not logically satisfiable. - **Neizvěstnost / uncertainty:** The abstract noun is an edition-level derivation rather than a directly listed dictionary lemma.; Cross-Slavic specialist usage divides between zadovolj- and fulfil-family formations. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The abstract noun is an edition-level derivation rather than a directly listed dictionary lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Cross-Slavic specialist usage divides between zadovolj- and fulfil-family formations. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The property of a formula or set of sentences for which some structure, with a suitable assignment where relevant, satisfies it or all members simultaneously.’, should ‘zadovoljivost’ remain preferred over ‘izpȯlnimost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0071 · logic.validity - **Revizija / recording:** `OLISV-T0071-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **validity** — A formula's holding under every interpretation admitted by the semantics: truth in every classical structure, or forcing at every relevant world of every intuitionistic Kripke structure. - **Medžuslovjansky / Interslavic:** `validnost`; lemma `validnost`; Cyrillic `валидност` - **Gramatika / use:** feminine abstract noun. Use validny for the adjective and distinguish validity from truth in one particular structure. - **Argumentacija / rationale:** Validnost extends an already frequent and unambiguous inherited mathematical adjective into the precisely defined logical property. It is broadly international and avoids the registered legal sense of pravomoćny; the Open Logic source keeps validity distinct from truth relative to one structure. The dedicated OLP-0179 unit now broadens the current sense while the earlier revision remains preserved as scope provenance. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 180-184 and 220-222 · Intuitionistic validity and a requested Kripke counterexample - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 180-184 and 220-222 (RESOLVED); `OL-FOL-INTRO-SEMANTIC-NOTIONS` lines 30-34 (RESOLVED); `NOETHER-BASE` line 6965 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[18216]; dictionary_id=37979 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/semantic-notions.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 32 - **Alternativy / alternatives:** `pravomoćnost` — The registered family is expressly legal and would misstate the logical sense.; `občeistinnost` — Compositionally suggests universal truth but is unattested and needlessly replaces the stable inherited international root. - **Neizvěstnost / uncertainty:** The registered dictionary does not directly list validnost in the logical sense.; National traditions divide between international valid- and native universal-validity formations.; Earlier narrower sense wording remains preserved in the superseded revision. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The registered dictionary does not directly list validnost in the logical sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National traditions divide between international valid- and native universal-validity formations. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formula's holding under every interpretation admitted by the semantics: truth in every classical structure, or forcing at every relevant world of every intuitionistic Kripke structure.’, should ‘validnost’ remain preferred over ‘pravomoćnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0072 · logic.semantic-entailment - **Revizija / recording:** `OLISV-T0072-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **semantic entailment** — The relation Γ entails A when every structure satisfying every sentence in Γ also satisfies A. - **Medžuslovjansky / Interslavic:** `slědovanje`; lemma `slědovanje`; Cyrillic `слєдовање` - **Gramatika / use:** neuter abstract noun. Use semantično slědovanje where contrast with syntactic derivability is active; otherwise the short form slědovanje is sufficient. - **Argumentacija / rationale:** Slědovanje keeps the highly recognizable follow/consequence root, matches established edition usage, and names a relation rather than only its result. The optional semantično modifier prevents confusion with syntactic derivability where both relations occur together. - **Uvěrjenost / status:** 0.77 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-SEMANTIC-NOTIONS` · lines 32-38 · English Open Logic definition and Γ-entails-A notation - **Evidence loci:** `OL-FOL-INTRO-SEMANTIC-NOTIONS` lines 32-38 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4036-4037], wordList[6198-6199], wordList[7134]; dictionary_id=2327,18328,35549,35550,1939 (RESOLVED); `NOETHER-BASE` line 71 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/semantic-notions.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `povlěčenje za sobojų` — Dictionary-backed for general entail or involve but too periphrastic for a named binary metalogical relation.; `semantična poslědica` — Transparent but more readily names the consequent or result than the entailment relation itself. - **Neizvěstnost / uncertainty:** The dictionary directly attests the root but not the formal abstract noun.; Polish and Czech specialist traditions favor a distinct vypływ or consequence root. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary directly attests the root but not the formal abstract noun. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Polish and Czech specialist traditions favor a distinct vypływ or consequence root. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The relation Γ entails A when every structure satisfying every sentence in Γ also satisfies A.’, should ‘slědovanje’ remain preferred over ‘povlěčenje za sobojų’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0073 · logic.variable-assignment - **Revizija / recording:** `OLISV-T0073-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **variable assignment** — A function that assigns a domain value to every variable for evaluating formulas in a structure. - **Medžuslovjansky / Interslavic:** `prisvajanje prěměnnyh`; lemma `prisvajanje prěměnnyh`; Cyrillic `присвајање прємєнных` - **Gramatika / use:** neuter noun phrase. The short technical term denotes the whole value-assigning function; expand on first use as prisvajanje cěnnostij prěměnnym when the mapping direction needs emphasis. - **Argumentacija / rationale:** Prisvajanje prěměnnyh is retained as the short edition term because it is already used throughout the active semantic translation and its cognate assignment family is recognizable across East and South Slavic as well as Polish przypisanie. The definition fixes the technical function sense and prevents the dictionary's appropriation reading. - **Uvěrjenost / status:** 0.62 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-SEMANTIC-NOTIONS` · lines 13-27 · English Open Logic assignment-dependence and sentence-independence boundary - **Evidence loci:** `OL-FOL-INTRO-SEMANTIC-NOTIONS` lines 13-27 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1008-1009], wordList[1014], wordList[1258], wordList[18220], wordList[18234]; dictionary_id=22021,22022,36496,4229,2281,35526 (RESOLVED); `NOETHER-BASE` lines 8448 and 16678 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/semantic-notions.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `priděljenje prěměnnyh` — The noun is directly listed for assignment but its South Slavic columns emphasize a task or mission, making the unexpanded short phrase less precise for semantic evaluation.; `prirěčenje prěměnnyh` — It occurs in earlier accepted proof prose but has weaker direct lexical support and is less recognizable to East Slavic readers; it remains adverse history rather than a silent synonym. - **Neizvěstnost / uncertainty:** The selected short term is not directly attested in the registered dictionary's technical sense.; Earlier accepted units use prirěčenje or related forms and require a later bounded canon-reconciliation pass. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The selected short term is not directly attested in the registered dictionary's technical sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Earlier accepted units use prirěčenje or related forms and require a later bounded canon-reconciliation pass. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A function that assigns a domain value to every variable for evaluating formulas in a structure.’, should ‘prisvajanje prěměnnyh’ remain preferred over ‘priděljenje prěměnnyh’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0074 · logic.sentence - **Revizija / recording:** `OLISV-T0074-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **sentence** — A formula containing no free occurrences of variables. - **Medžuslovjansky / Interslavic:** `izrečenje`; lemma `izrečenje`; Cyrillic `изречење` - **Gramatika / use:** neuter noun. Use izrečenje as the short technical head and define it explicitly as formula bez svobodnyh pojavjenij prěmennyh; zamknuta formula remains a transparent explanatory synonym. - **Argumentacija / rationale:** Izrečenje preserves the accepted Open Logic head and remains directly recognizable in Bulgarian and South Slavic. OLP-0157 now supplies the exact occurrence-level definition. The earlier explanatory zamknjena formula is corrected to zamknuta formula from the directly listed zamknųty morphology and the byte-pinned accepted completeness text; this changes no preferred head or formal sense. - **Uvěrjenost / status:** 0.63 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FREE-VARS-SENTENCES` · lines 95-98 · Exact English Open Logic occurrence-level sentence definition - **Evidence loci:** `OL-FOL-FREE-VARS-SENTENCES` lines 95-98 (RESOLVED); `OL-FOL-INTRO-SEMANTIC-NOTIONS` lines 18-27 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3510-3511], wordList[7255], wordList[15099]; dictionary_id=31523,2894,5181,3758 (RESOLVED); `NOETHER-BASE` line 13803 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `OL-FOL-COMPLETENESS-CONSTRUCTION-MODEL-ISV` lines 147 and 162 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/free-vars-sentences.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 93; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/semantic-notions.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 33; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/construction-of-model.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `zamknuta formula` — Precisely transparent and retained as a definitional synonym, but too long to replace every repeated token in continuous prose. The corrected participle follows direct dictionary morphology and accepted edition usage.; `rěčenje` — Directly listed and acceptable as a general sentence, but the accepted edition consistently uses the more distinctive prefixed form izrečenje. - **Neizvěstnost / uncertainty:** The preferred izrečenje is an edition continuity form rather than a directly listed dictionary lemma.; National specialist traditions divide between sentence-family heads and closed-formula compounds. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The preferred izrečenje is an edition continuity form rather than a directly listed dictionary lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National specialist traditions divide between sentence-family heads and closed-formula compounds. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formula containing no free occurrences of variables.’, should ‘izrečenje’ remain preferred over ‘zamknuta formula’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0075 · logic.substitution - **Revizija / recording:** `OLISV-T0075-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **substitution** — The recursive operation that replaces every occurrence of x in a term by t, and—when t is admissible for x in A—replaces all free occurrences of x in a formula A by t without variable capture. - **Medžuslovjansky / Interslavic:** `podstanovka`; lemma `podstanovka`; Cyrillic `подстановка` - **Gramatika / use:** feminine noun. Use podstanovka terma t vměsto prěměnnoj x. In a term it replaces every occurrence of x; in a formula it replaces all free occurrences only when t možno podstaviti vměsto x without capture. Generic zaměniti remains explanatory prose. - **Argumentacija / rationale:** Podstanovka preserves exact inherited mathematical usage and the accepted Open Logic introduction. OLP-0158 now distinguishes the two recursive branches precisely: all occurrences in a term, but all free occurrences in a formula under the free-for condition. This append-only revision corrects the earlier compressed sense without changing the preferred head. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-SUBSTITUTION` · lines 13-32 and 45-113 · Exact term/formula substitution distinction and capture-avoidance boundary - **Evidence loci:** `OL-FOL-SYN-SUBSTITUTION` lines 13-32 and 45-113 (RESOLVED); `OL-FOL-INTRO-SUBSTITUTION-ISV` lines 23-39 (RESOLVED); `OL-FOL-INTRO-SUBSTITUTION` lines 23-39 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14249-14253], wordList[16508]; dictionary_id=3810,3811,19420,19421,1627,36101 (RESOLVED); `NOETHER-BASE` lines 9043, 9097, 22791 and 22821 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/substitution.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 11, 13, 45, 97; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/substitution.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 11, 32 - **Alternativy / alternatives:** `zaměna` — Directly attested and useful in explanatory prose, but too broad for the recursively defined operation and may also imply exchange or swapping.; `substitucija` — Internationally recognizable but unsupported as an Interslavic lemma in the registered witnesses and unnecessary given inherited podstanovka. - **Neizvěstnost / uncertainty:** The registered dictionary does not attest podstanovka.; The inherited Noether uses document mathematical substitution but not this exact recursive first-order operation.; No standalone verb entry is created; podstaviti occurs within OLISV-T0156 and accepted explanatory prose. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The registered dictionary does not attest podstanovka. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The inherited Noether uses document mathematical substitution but not this exact recursive first-order operation. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The recursive operation that replaces every occurrence of x in a term by t, and—when t is admissible for x in A—replaces all free occurrences of x in a formula A by t without variable capture.’, should ‘podstanovka’ remain preferred over ‘zaměna’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0076 · model-theory.term-value - **Revizija / recording:** `OLISV-T0076-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **semantic value of a term** — The element of a structure's domain denoted by a term under a variable assignment. - **Medžuslovjansky / Interslavic:** `značenje terma`; lemma `značenje terma`; Cyrillic `значење терма` - **Gramatika / use:** neuter noun phrase. Decline značenje as a neuter noun and term as its genitive complement; state dependence on the structure and assignment whenever context does not already fix both. - **Argumentacija / rationale:** Značenje terma preserves the East- and South-Slavic meaning or denotation root, matches the accepted translation's exact phrase, and reuses the edition's established term root. The Open Logic source fixes the result as a domain element under a structure and assignment, preventing confusion with informal lexical meaning. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-SUBSTITUTION` · lines 40-47 · English Open Logic term-value, assignment, and substitution-lemma context - **Evidence loci:** `OL-FOL-INTRO-SUBSTITUTION` lines 40-47 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10877], wordList[17875], wordList[18220]; dictionary_id=3736,31360,2281 (RESOLVED); `NOETHER-44` lines 61 and 529 (RESOLVED); `NOETHER-BASE` line 8448 (RESOLVED); `OL-FOL-STRUCTURES` lines 24-25 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/substitution.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `cěnnost terma` — Directly supported as a broad mathematical value family, but less clearly signals semantic denotation and diverges from the accepted target phrase; it remains a legitimate documented alternative rather than adverse nonsense.; `interpretacija terma` — Existing canon reserves interpretacija for assigning denotations to nonlogical symbols; the term value is the resulting domain element, not that assignment process.; `vrědnost terma` — No registered Interslavic value lemma supports this surface, while vrěd is directly registered with the unrelated meaning ulcer. - **Neizvěstnost / uncertainty:** No registered witness directly attests the complete specialist phrase značenje terma.; Comparison traditions divide between meaning or denotation and value-family terminology. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No registered witness directly attests the complete specialist phrase značenje terma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Comparison traditions divide between meaning or denotation and value-family terminology. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The element of a structure's domain denoted by a term under a variable assignment.’, should ‘značenje terma’ remain preferred over ‘cěnnost terma’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0077 · proof.derivation - **Revizija / recording:** `OLISV-T0077-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **derivation** — A finite formal object licensed by a proof system and establishing a derivability claim. - **Medžuslovjansky / Interslavic:** `izvodženje`; lemma `izvodženje`; Cyrillic `изводжење` - **Gramatika / use:** neuter verbal noun. Genitive singular izvodženja; reserve dokaz for a completed proof and izvodženje for the formal construction or process. - **Argumentacija / rationale:** Izvodženje is the standard-Latin normalization of the directly listed derivation noun izvođeńje; it spans Czech and South-Slavic odvoz-/izvod- traditions while remaining recognizable beside East-Slavic vyvod, and Open Logic excludes ordinary origin and morphology senses. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` · lines 13-23 and 32-34 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` lines 13-23 and 32-34 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[5013]; dictionary_id=17598 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/soundness-completeness.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `dedukcija` — Deduction is a broader method and not specifically the finite derivation object.; `dokaz` — Proof or evidence is broader than the licensed construction described here. - **Neizvěstnost / uncertainty:** The direct dictionary row uses an etymological/extended surface and is polysemous across derivation, origin, and morphology.; East-Slavic readers may expect a vyvod surface. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The direct dictionary row uses an etymological/extended surface and is polysemous across derivation, origin, and morphology. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: East-Slavic readers may expect a vyvod surface. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A finite formal object licensed by a proof system and establishing a derivability claim.’, should ‘izvodženje’ remain preferred over ‘dedukcija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0078 · proof.derivation-system - **Revizija / recording:** `OLISV-T0078-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **derivation system** — A formal system whose licensed finite derivations determine a syntactic derivability relation. - **Medžuslovjansky / Interslavic:** `sistem izvodženja`; lemma `sistem izvodženja`; Cyrillic `систем изводжења` - **Gramatika / use:** masculine noun phrase. Genitive singular sistema izvodženja; use korektny and polny for sound and complete systems. - **Argumentacija / rationale:** The phrase transparently composes the standardized derivation noun izvodženje with the established system head and distinguishes the system from a proof, rule, or conclusion. - **Uvěrjenost / status:** 0.69 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` · lines 13-34 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` lines 13-34 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[5013-5015]; dictionary_id=17598,36763,36764 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/soundness-completeness.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `sistem vyvoda` — A strong East-Slavic alternative, but vyvod can name the output while izvodženje directly names the derivation activity.; `deduktivny sistem` — This would narrow every derivation system to the deduction family. - **Neizvěstnost / uncertainty:** No frozen row directly attests the complete specialist compound.; The edition retains pravilo vyvoda for inference rule, so the lexical distinction must remain explicit. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No frozen row directly attests the complete specialist compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The edition retains pravilo vyvoda for inference rule, so the lexical distinction must remain explicit. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formal system whose licensed finite derivations determine a syntactic derivability relation.’, should ‘sistem izvodženja’ remain preferred over ‘sistem vyvoda’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0079 · proof.derivability - **Revizija / recording:** `OLISV-T0079-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **derivability** — The syntactic relation holding when a proof system licenses a derivation of a conclusion from premises. - **Medžuslovjansky / Interslavic:** `izvodivost`; lemma `izvodivost`; Cyrillic `изводивост` - **Gramatika / use:** feminine abstract noun. Use odnošenje izvodivosti for the relation and distinguish it from semantic slědovanje. - **Argumentacija / rationale:** A regular abstraction from the selected derive family keeps the syntactic relation visibly distinct from semantic entailment. - **Uvěrjenost / status:** 0.62 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` · lines 13-23 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` lines 13-23 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[5013-5015]; dictionary_id=17598,36763,36764 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/soundness-completeness.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `dokazivost` — Provability can suggest theoremhood rather than the explicitly parameterized relation.; `derivabilnost` — The international loan is not directly listed and is less parsable without specialist vocabulary. - **Neizvěstnost / uncertainty:** National proof-theory terminology varies between derivability and provability families. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National proof-theory terminology varies between derivability and provability families. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The syntactic relation holding when a proof system licenses a derivation of a conclusion from premises.’, should ‘izvodivost’ remain preferred over ‘dokazivost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0080 · proof.derive - **Revizija / recording:** `OLISV-T0080-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **derive** — To obtain a conclusion from premises by a derivation licensed by a specified formal proof system. - **Medžuslovjansky / Interslavic:** `izvoditi`; lemma `izvoditi`; Cyrillic `изводити` - **Gramatika / use:** transitive imperfective verb. Use izvoditi imperfectively and izvesti perfectively; do not replace the formal relation with dokazati. - **Argumentacija / rationale:** The direct aspect pair izvoditi–izvesti has broad Slavic support and expresses derivation from premises without conflating it with semantic truth. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` · lines 13-23 and 36-48 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` lines 13-23 and 36-48 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[5014-5015]; dictionary_id=36763,36764 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/soundness-completeness.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `dokazati` — Prove is broader than one derivation step or relation.; `zaključiti` — Infer or conclude foregrounds the result rather than the licensed derivation. - **Neizvěstnost / uncertainty:** The verbs also cover ordinary inference; proof-system context supplies the formal restriction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The verbs also cover ordinary inference; proof-system context supplies the formal restriction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘To obtain a conclusion from premises by a derivation licensed by a specified formal proof system.’, should ‘izvoditi’ remain preferred over ‘dokazati’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0081 · model-theory.discipline - **Revizija / recording:** `OLISV-T0081-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **model theory** — The branch of logic studying formal structures, their theories, and sentences characterizing classes of structures. - **Medžuslovjansky / Interslavic:** `teorija modelov`; lemma `teorija modelov`; Cyrillic `теорија моделов` - **Gramatika / use:** feminine noun phrase. Use v teoriji modelov and genitive plural modelov throughout the edition. - **Argumentacija / rationale:** The genitive construction mirrors the overwhelmingly convergent Slavic specialist phrase and preserves the existing model and teorija lemmas. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-MODELS-THEORIES` · lines 20-30 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-MODELS-THEORIES` lines 20-30 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11194], wordList[17168]; dictionary_id=19859,4739 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `modelna teorija` — The adjective is readable but less aligned with the dominant national genitive construction. - **Neizvěstnost / uncertainty:** The complete phrase is compositionally established rather than directly listed. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete phrase is compositionally established rather than directly listed. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The branch of logic studying formal structures, their theories, and sentences characterizing classes of structures.’, should ‘teorija modelov’ remain preferred over ‘modelna teorija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0082 · logic.axiomatic-method - **Revizija / recording:** `OLISV-T0082-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **axiomatic method** — The method of describing a class of structures by sentences taken as the axioms of a theory. - **Medžuslovjansky / Interslavic:** `aksiomatična metoda`; lemma `aksiomatična metoda`; Cyrillic `аксиоматична метода` - **Gramatika / use:** feminine noun phrase. The dictionary head is feminine metoda; use genitive aksiomatičnoj metody and instrumental aksiomatičnoju metodoju. - **Argumentacija / rationale:** Both components are direct headwords; the feminine head follows frozen Interslavic usage while the national masculine split remains visible. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-MODELS-THEORIES` · lines 24-30 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-MODELS-THEORIES` lines 24-30 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1499], wordList[11022]; dictionary_id=37533,2867 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `aksiomatičny metod` — Recognizable but conflicts with the selected feminine dictionary headword.; `aksiomna metoda` — Shorter but not directly attested as the named methodology. - **Neizvěstnost / uncertainty:** Several East and South traditions commonly use a masculine method head. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Several East and South traditions commonly use a masculine method head. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The method of describing a class of structures by sentences taken as the axioms of a theory.’, should ‘aksiomatična metoda’ remain preferred over ‘aksiomatičny metod’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0083 · logic.predicate - **Revizija / recording:** `OLISV-T0083-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **predicate** — A nonlogical relation symbol in a formal language, here exemplified by a binary symbol interpreted as a relation. - **Medžuslovjansky / Interslavic:** `predikat`; lemma `predikat`; Cyrillic `предикат` - **Gramatika / use:** masculine noun. Genitive singular predikata; keep the logical sense separate from the grammatical predicate homonym. - **Argumentacija / rationale:** The frozen dictionary provides a dedicated logic-sense row and separates it from the grammatical homonym. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-MODELS-THEORIES` · lines 32-53 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-MODELS-THEORIES` lines 32-53 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13292]; dictionary_id=36370 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `prisųdok` — This belongs to grammatical predication rather than the logical relation-symbol sense.; `simbol odnošenja` — Useful explanation but narrower than predicate once other arities enter. - **Neizvěstnost / uncertainty:** The Croatian dictionary cell diverges to tvrdnja. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The Croatian dictionary cell diverges to tvrdnja. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A nonlogical relation symbol in a formal language, here exemplified by a binary symbol interpreted as a relation.’, should ‘predikat’ remain preferred over ‘prisųdok’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0084 · model-theory.domain - **Revizija / recording:** `OLISV-T0084-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **domain of a structure** — The underlying set of objects over which a first-order structure interprets its language; in a many-sorted structure, also the carrier assigned to one sort before the carriers are combined in the first-order encoding. - **Medžuslovjansky / Interslavic:** `domen struktury`; lemma `domen struktury`; Cyrillic `домен структуры` - **Gramatika / use:** masculine noun phrase. Genitive singular domena struktury. Bare domen is allowed when context fixes the structure; use domen sorta for one sort's carrier. Do not conflate this with domen funkcije. - **Argumentacija / rationale:** The established domain head remains stable. OLP-0176 adds a controlled many-sorted extension: each sort has a carrier domain, while the embedding combines those carriers into one first-order domain. - **Uvěrjenost / status:** 0.85 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` · lines 13-17 and 44-63 · Per-sort carrier domains and their one-domain first-order encoding - **Evidence loci:** `OL-FOL-INTRO-MODELS-THEORIES` lines 34-38 and 56-68 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[5559]; dictionary_id=36356 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `OL-FOL-BEYOND-MANY-SORTED-LOGIC` lines 13-17 and 44-63 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/many-sorted-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `univerzum struktury` — Common in some traditions but can suggest a broader set-theoretic universe.; `oblast struktury` — Ordinary spatial and administrative readings are less precise than the direct headword. - **Neizvěstnost / uncertainty:** National accounts also use universe/carrier terminology; domen remains the edition head. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National accounts also use universe/carrier terminology; domen remains the edition head. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The underlying set of objects over which a first-order structure interprets its language; in a many-sorted structure, also the carrier assigned to one sort before the carriers are combined in the first-order encoding.’, should ‘domen struktury’ remain preferred over ‘univerzum struktury’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0085 · logic.expressibility - **Revizija / recording:** `OLISV-T0085-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **expressibility; expressible** — The capacity of a formal language or theory to state a property by a sentence or set of sentences. - **Medžuslovjansky / Interslavic:** `izrazimost`; lemma `izrazimost`; Cyrillic `изразимост` - **Gramatika / use:** feminine abstract noun. Use izrazimy for the adjective and izraziti for the perfective verb in formal-language contexts. - **Argumentacija / rationale:** A regular abstraction from the direct express aspect pair maps transparently onto the language–property relation and avoids stylistic expressiveness. - **Uvěrjenost / status:** 0.69 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-MODELS-THEORIES` · lines 23-30 and 50-68 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-MODELS-THEORIES` lines 23-30 and 50-68 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6564-6565]; dictionary_id=682,2609 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `izraznost` — The direct noun means emphasis or stylistic expressiveness, not logical expressibility.; `opreděljivost` — Definability is related but stricter and needs its own sense entry. - **Neizvěstnost / uncertainty:** The source informally groups one-sentence expressibility and axiomatizability by a theory. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source informally groups one-sentence expressibility and axiomatizability by a theory. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The capacity of a formal language or theory to state a property by a sentence or set of sentences.’, should ‘izrazimost’ remain preferred over ‘izraznost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0086 · set.finite - **Revizija / recording:** `OLISV-T0086-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **finite set; finite domain** — A set or structure domain containing only finitely many elements. - **Medžuslovjansky / Interslavic:** `konečno množstvo`; lemma `konečno množstvo`; Cyrillic `конечно множство` - **Gramatika / use:** neuter noun phrase. Use konečny with masculine domen, konečna with struktura, and konečno with množstvo. - **Argumentacija / rationale:** The direct finiteness noun and mathematical-set head support the edition's stable konečny family, with agreement recorded for set, domain, and structure. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-MODELS-THEORIES` · lines 56-68 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-MODELS-THEORIES` lines 56-68 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6943], wordList[15156]; dictionary_id=17676,36434 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `finitno množstvo` — The frozen finitny adjective is explicitly restricted to finite verbs.; `ograničeno množstvo` — Bounded or limited does not imply finitely many elements. - **Neizvěstnost / uncertainty:** The ordinary konečny row also carries final/end meanings; formal context fixes finiteness. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The ordinary konečny row also carries final/end meanings; formal context fixes finiteness. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A set or structure domain containing only finitely many elements.’, should ‘konečno množstvo’ remain preferred over ‘finitno množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0087 · set.infinite - **Revizija / recording:** `OLISV-T0087-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **infinite set; infinite domain** — A set or structure domain that is not finite and therefore has infinitely many elements. - **Medžuslovjansky / Interslavic:** `bezkonečno množstvo`; lemma `bezkonečno množstvo`; Cyrillic `безконечно множство` - **Gramatika / use:** neuter noun phrase. Use bezkonečny with masculine domen, bezkonečna with struktura, and bezkonečno with množstvo. - **Argumentacija / rationale:** The direct infinite adjective is already stable in accepted mathematical prose, and the mathematical-set head yields an exact phrase. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-MODELS-THEORIES` · lines 61-68 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-MODELS-THEORIES` lines 61-68 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6136], wordList[15156]; dictionary_id=6520,36434 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nekonečno množstvo` — A strong West/Ukrainian-style alternative, but the frozen Interslavic head directly selects bezkonečny. - **Neizvěstnost / uncertainty:** West Slavic and Ukrainian forms prefer ne- rather than bez-. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: West Slavic and Ukrainian forms prefer ne- rather than bez-. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A set or structure domain that is not finite and therefore has infinitely many elements.’, should ‘bezkonečno množstvo’ remain preferred over ‘nekonečno množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0088 · model-theory.lowenheim-skolem-theorem - **Revizija / recording:** `OLISV-T0088-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Löwenheim–Skolem theorem** — The family of first-order results relating satisfiable theories to models of controlled cardinality. - **Medžuslovjansky / Interslavic:** `teorema Lovenheima-Skolema`; lemma `teorema Lovenheima-Skolema`; Cyrillic `теорема Ловенхеима-Сколема` - **Gramatika / use:** feminine proper-name noun phrase. The canonical machine surface is standard-Latin Lovenheima-Skolema; in running TeX write L\"owenheima--Skolema and display Löwenheima–Skolema in human-facing metadata. - **Argumentacija / rationale:** The genitive surname construction follows established edition usage and the dominant Slavic pattern for a named theorem. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-MODELS-THEORIES` · lines 63-68 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-MODELS-THEORIES` lines 63-68 (RESOLVED); `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` lines 50-55 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/soundness-completeness.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `teorema Löwenheim–Skolem` — The uninflected English-style names break the edition's running Slavic grammar. - **Neizvěstnost / uncertainty:** The standard transliterator normalizes foreign ö to o in Cyrillic.; Upward and downward statements require separate later sense entries. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The standard transliterator normalizes foreign ö to o in Cyrillic. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Upward and downward statements require separate later sense entries. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The family of first-order results relating satisfiable theories to models of controlled cardinality.’, should ‘teorema Lovenheima-Skolema’ remain preferred over ‘teorema Löwenheim–Skolem’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0089 · logic.contradiction - **Revizija / recording:** `OLISV-T0089-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **contradiction** — A formula or pair of claims that cannot be true together, exemplified by A and not-A. - **Medžuslovjansky / Interslavic:** `protivrěčnost`; lemma `protivrěčnost`; Cyrillic `противрєчност` - **Gramatika / use:** feminine noun. Genitive singular protivrěčnosti; use protivrěčny for contradictory and keep consistency as a separately adjudicated sense. - **Argumentacija / rationale:** The direct dictionary noun maps the core contradiction families across all comparison traditions; the formula context excludes ordinary disagreement. - **Uvěrjenost / status:** 0.81 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` · lines 36-48 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` lines 36-48 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9113]; dictionary_id=23802 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/soundness-completeness.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 38 - **Alternativy / alternatives:** `protivnost` — This denotes contrary, opposition, or contradistinction rather than a formal contradiction.; `kontradikcija` — The international loan is less transparent and not directly listed. - **Neizvěstnost / uncertainty:** The existing consistency entry uses nesprotivnost rather than morphologically tighter neprotivrěčnost; the tension is recorded rather than silently erased. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The existing consistency entry uses nesprotivnost rather than morphologically tighter neprotivrěčnost; the tension is recorded rather than silently erased. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formula or pair of claims that cannot be true together, exemplified by A and not-A.’, should ‘protivrěčnost’ remain preferred over ‘protivnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0090 · logic.first-order - **Revizija / recording:** `OLISV-T0090-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **first-order logic** — The formal framework in which quantifiers range over individual objects rather than predicates or sets. - **Medžuslovjansky / Interslavic:** `logika prvogo reda`; lemma `logika prvogo reda`; Cyrillic `логика првого реда` - **Gramatika / use:** feminine noun phrase. Genitive singular logiky prvogo reda; use jezyk logiky prvogo reda for a corresponding language. - **Argumentacija / rationale:** The established edition form follows the dominant Slavic genitive construction, while a dedicated ID separates it from logic as a general discipline. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-INTRO-MODELS-THEORIES` · lines 13-18 and 28-30 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-INTRO-MODELS-THEORIES` lines 13-18 and 28-30 (RESOLVED); `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS` lines 13-23 and 50-65 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10431]; dictionary_id=8933 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/soundness-completeness.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 53 - **Alternativy / alternatives:** `prvoredna logika` — The compact calque may read as first-rate logic rather than quantifier order. - **Neizvěstnost / uncertainty:** The complete compound is compositionally established rather than directly listed. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound is compositionally established rather than directly listed. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The formal framework in which quantifiers range over individual objects rather than predicates or sets.’, should ‘logika prvogo reda’ remain preferred over ‘prvoredna logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0091 · logic.syntax - **Revizija / recording:** `OLISV-T0091-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **syntax** — Rules governing the well-formed expressions of a formal language. - **Medžuslovjansky / Interslavic:** `sintaksa`; lemma `sintaksa`; Cyrillic `синтакса` - **Gramatika / use:** feminine noun. Use genitive sintaksy; distinguish formal syntax from grammar of a natural language. - **Argumentacija / rationale:** Direct international lemma with complete East, West, and South Slavic convergence. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 13-29 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 13-29 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16835]; dictionary_id=3140 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 2 - **Alternativy / alternatives:** `skladnja` — The West-Slavic native alternative is less broadly transparent than the international form. - **Neizvěstnost / uncertainty:** The dictionary sense is general syntax; Open Logic supplies the formal-logical restriction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary sense is general syntax; Open Logic supplies the formal-logical restriction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Rules governing the well-formed expressions of a formal language.’, should ‘sintaksa’ remain preferred over ‘skladnja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0092 · logic.semantics - **Revizija / recording:** `OLISV-T0092-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **semantics** — Interpretive rules assigning values or satisfaction conditions to formal expressions. - **Medžuslovjansky / Interslavic:** `semantika`; lemma `semantika`; Cyrillic `семантика` - **Gramatika / use:** feminine noun. Use genitive semantiky; retain the plural discipline sense only where context requires it. - **Argumentacija / rationale:** International lemma is identical or trivially adapted across all comparison languages. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 13-29 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 13-29 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15062]; dictionary_id=35935 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `značenjeslovje` — A native calque is not established across the national specialist traditions. - **Neizvěstnost / uncertainty:** Open Logic later gives the precise satisfaction clauses; this entry fixes only the discipline-level sense. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Open Logic later gives the precise satisfaction clauses; this entry fixes only the discipline-level sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Interpretive rules assigning values or satisfaction conditions to formal expressions.’, should ‘semantika’ remain preferred over ‘značenjeslovje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0093 · logic.expression - **Revizija / recording:** `OLISV-T0093-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **expression** — Any syntactic object of the formal language, including terms and formulas. - **Medžuslovjansky / Interslavic:** `izraz`; lemma `izraz`; Cyrillic `израз` - **Gramatika / use:** masculine noun. Genitive singular izraza; use as the superordinate syntactic category, not merely an utterance. - **Argumentacija / rationale:** Izraz is directly attested as term, phrase, and expression and is maximally recognizable. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 13-29 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 13-29 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17058]; dictionary_id=8115 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 14, 26, 28, 29 - **Alternativy / alternatives:** `izraženje` — The verbal noun more readily denotes the act or result of expressing than a formal syntactic object. - **Neizvěstnost / uncertainty:** The dictionary lemma is broader than the formal category. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary lemma is broader than the formal category. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Any syntactic object of the formal language, including terms and formulas.’, should ‘izraz’ remain preferred over ‘izraženje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0094 · logic.variable - **Revizija / recording:** `OLISV-T0094-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **variable** — A syntactic symbol whose semantic value is supplied by an assignment. - **Medžuslovjansky / Interslavic:** `prěměnna`; lemma `prěměnna`; Cyrillic `прємєнна` - **Gramatika / use:** feminine noun. Genitive singular prěměnnoj; reserve the adjectival prěměnny for varying objects. - **Argumentacija / rationale:** The noun is directly listed and bridges East/West native traditions while remaining legible in the South. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 13-18 and 46-58 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 13-18 and 46-58 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[18234]; dictionary_id=35526 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `varijabla` — The international South-Slavic form is less transparent to East and West Slavic readers. - **Neizvěstnost / uncertainty:** Croatian commonly prefers varijabla, recorded in the comparanda. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Croatian commonly prefers varijabla, recorded in the comparanda. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A syntactic symbol whose semantic value is supplied by an assignment.’, should ‘prěměnna’ remain preferred over ‘varijabla’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0095 · logic.term - **Revizija / recording:** `OLISV-T0095-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **term** — A first-order syntactic expression denoting an object once interpreted. - **Medžuslovjansky / Interslavic:** `term`; lemma `term`; Cyrillic `терм` - **Gramatika / use:** masculine noun. Genitive singular terma; do not confuse this formal category with termin as a deadline or lexical term. - **Argumentacija / rationale:** Term is already entrenched by termovy model and značenje terma and sharply separates the formal category from termin's competing senses. - **Uvěrjenost / status:** 0.68 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 13-29 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 13-29 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17056]; dictionary_id=2091 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 15, 17, 25 - **Alternativy / alternatives:** `termin` — The direct dictionary form is broad and also denotes a date or lexical designation; it is retained as adverse evidence. - **Neizvěstnost / uncertainty:** The preferred root is an edition-level specialist normalization rather than a direct dictionary headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The preferred root is an edition-level specialist normalization rather than a direct dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A first-order syntactic expression denoting an object once interpreted.’, should ‘term’ remain preferred over ‘termin’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0096 · logic.first-order-language - **Revizija / recording:** `OLISV-T0096-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **first-order language** — A formal language whose variables range over individual objects and whose nonlogical vocabulary has fixed finite arities. - **Medžuslovjansky / Interslavic:** `jezyk logiky prvogo reda`; lemma `jezyk logiky prvogo reda`; Cyrillic `језык логикы првого реда` - **Gramatika / use:** masculine noun phrase. Genitive jezyka logiky prvogo reda; the longer form keeps the logical restriction explicit. - **Argumentacija / rationale:** Transparent composition reuses the canonical first-order-logic term and the direct language lemma. - **Uvěrjenost / status:** 0.84 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 13-30 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 13-30 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9987]; dictionary_id=541 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 150 - **Alternativy / alternatives:** `prvoredny jezyk` — The compact adjective is less immediately interpretable and is not established by the frozen evidence. - **Neizvěstnost / uncertainty:** The complete compound is editorial rather than a direct dictionary headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound is editorial rather than a direct dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formal language whose variables range over individual objects and whose nonlogical vocabulary has fixed finite arities.’, should ‘jezyk logiky prvogo reda’ remain preferred over ‘prvoredny jezyk’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0097 · logic.logical-connective - **Revizija / recording:** `OLISV-T0097-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **logical connective** — A logical operator that combines one or more formulas into a formula. - **Medžuslovjansky / Interslavic:** `logičny sveznik`; lemma `logičny sveznik`; Cyrillic `логичны свезник` - **Gramatika / use:** masculine noun phrase. Genitive logičnogo sveznika; standard-Latin sveznik normalizes dictionary svęznik. - **Argumentacija / rationale:** Sveznik is a transparent standardized form of the direct conjunction lemma and avoids the narrower relation sense of vęzka. - **Uvěrjenost / status:** 0.76 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 13-18, 35-45, and 89-103 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 13-18, 35-45, and 89-103 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4001]; dictionary_id=36359 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10432]; dictionary_id=363 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logična vęzka` — Vęzka denotes a bond or relation and is less direct as the grammatical/logical combining category. - **Neizvěstnost / uncertainty:** The frozen dictionary directly attests only the grammatical conjunction sense, not the complete logical compound.; Earlier translated units contain veznik and vęzka variants; this entry governs future normalization without rewriting history. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary directly attests only the grammatical conjunction sense, not the complete logical compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Earlier translated units contain veznik and vęzka variants; this entry governs future normalization without rewriting history. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logical operator that combines one or more formulas into a formula.’, should ‘logičny sveznik’ remain preferred over ‘logična vęzka’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0098 · logic.constant-symbol - **Revizija / recording:** `OLISV-T0098-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **constant symbol** — A zero-argument nonlogical symbol naming an individual object in a first-order structure. - **Medžuslovjansky / Interslavic:** `konstantny simbol`; lemma `konstantny simbol`; Cyrillic `константны симбол` - **Gramatika / use:** masculine noun phrase. Genitive konstantnogo simbola; use konstanta only as context permits, never for the interpreted object itself. - **Argumentacija / rationale:** The explicit symbol head prevents the source's pedagogical shorthand from conflating syntax with interpretation. - **Uvěrjenost / status:** 0.69 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 13-25 and 52-58 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 13-25 and 52-58 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16812]; dictionary_id=12221 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `konstanta` — The bare noun can conflate the object-language symbol, its interpretation, and an ordinary mathematical constant. - **Neizvěstnost / uncertainty:** No exact frozen dictionary row attests the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No exact frozen dictionary row attests the complete specialist compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A zero-argument nonlogical symbol naming an individual object in a first-order structure.’, should ‘konstantny simbol’ remain preferred over ‘konstanta’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0099 · logic.function-symbol - **Revizija / recording:** `OLISV-T0099-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **function symbol** — A nonlogical symbol of fixed arity interpreted as a function in a structure. - **Medžuslovjansky / Interslavic:** `funkcijny simbol`; lemma `funkcijny simbol`; Cyrillic `функцијны симбол` - **Gramatika / use:** masculine noun phrase. Genitive funkcijnogo simbola; reserve funkcija for the interpreted mathematical mapping. - **Argumentacija / rationale:** The compound preserves the crucial type distinction between an object-language symbol and its interpreted function. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 13-27 and 52-58 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 13-27 and 52-58 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16812]; dictionary_id=12221 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `funkcija` — The bare word names the interpreted mapping and reproduces the source's metalinguistic conflation. - **Neizvěstnost / uncertainty:** The adjective funkcijny and the complete compound are editorial derivations. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The adjective funkcijny and the complete compound are editorial derivations. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A nonlogical symbol of fixed arity interpreted as a function in a structure.’, should ‘funkcijny simbol’ remain preferred over ‘funkcija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0100 · logic.quantifier - **Revizija / recording:** `OLISV-T0100-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **quantifier** — A logical operator binding a variable over a domain of discourse. - **Medžuslovjansky / Interslavic:** `kvantifikator`; lemma `kvantifikator`; Cyrillic `квантификатор` - **Gramatika / use:** masculine noun. Genitive kvantifikatora; qualify as universalny or eksistencialny when the force matters. - **Argumentacija / rationale:** The international form is stable and immediately recognizable across the Slavic specialist traditions. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 16-24 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 16-24 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 19 - **Alternativy / alternatives:** `količnik` — A native-looking calque is not established for the binding operator and risks an arithmetic reading. - **Neizvěstnost / uncertainty:** The preferred form is source-bounded and editorial rather than a direct dictionary lemma. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The preferred form is source-bounded and editorial rather than a direct dictionary lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logical operator binding a variable over a domain of discourse.’, should ‘kvantifikator’ remain preferred over ‘količnik’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0101 · logic.atomic-formula - **Revizija / recording:** `OLISV-T0101-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **atomic formula** — A formula containing no logical connective or quantifier and built directly from predicate symbols and terms, or identity. - **Medžuslovjansky / Interslavic:** `atomarna formula`; lemma `atomarna formula`; Cyrillic `атомарна формула` - **Gramatika / use:** feminine noun phrase. Genitive atomarnoj formuly; use atomarna for the formal-logical category. - **Argumentacija / rationale:** Atomarna follows the dominant East and South specialist pattern and remains transparent beside West-Slavic atomowa/atomická. - **Uvěrjenost / status:** 0.77 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 15-20 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 15-20 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1337]; dictionary_id=4661 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `atomna formula` — The shorter adjective is widespread in the inherited draft but more readily evokes physical atoms; retain it as an adverse historical variant. - **Neizvěstnost / uncertainty:** No frozen dictionary row directly attests the complete logical compound.; Earlier accepted units use atomna formula and may require a later monotonic normalization decision. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No frozen dictionary row directly attests the complete logical compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Earlier accepted units use atomna formula and may require a later monotonic normalization decision. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formula containing no logical connective or quantifier and built directly from predicate symbols and terms, or identity.’, should ‘atomarna formula’ remain preferred over ‘atomna formula’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0102 · logic.formation-rule - **Revizija / recording:** `OLISV-T0102-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **formation rule** — A recursive clause specifying how well-formed expressions may be constructed. - **Medžuslovjansky / Interslavic:** `pravilo tvorjenja`; lemma `pravilo tvorjenja`; Cyrillic `правило творјења` - **Gramatika / use:** neuter noun phrase. Genitive pravila tvorjenja; use collectively for the inductive grammar clauses. - **Argumentacija / rationale:** The native compound is compositionally transparent across all three Slavic zones. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 19-29 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 19-29 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `formacijsko pravilo` — The international adjective is shorter but less immediately transparent to a broad receptive audience. - **Neizvěstnost / uncertainty:** The complete phrase is not directly attested in the frozen dictionary. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete phrase is not directly attested in the frozen dictionary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A recursive clause specifying how well-formed expressions may be constructed.’, should ‘pravilo tvorjenja’ remain preferred over ‘formacijsko pravilo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0103 · logic.inductive-definition - **Revizija / recording:** `OLISV-T0103-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **inductive definition** — A definition giving base objects and closure clauses that generate the least admissible class. - **Medžuslovjansky / Interslavic:** `induktivna definicija`; lemma `induktivna definicija`; Cyrillic `индуктивна дефиниција` - **Gramatika / use:** feminine noun phrase. Genitive induktivnoj definicije; do not infer unique readability without separate parsing conditions. - **Argumentacija / rationale:** International components converge throughout the specialist comparison languages. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 23-29 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 23-29 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4862]; dictionary_id=2624 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 27 - **Alternativy / alternatives:** `rekursivna definicija` — Recursive definition is related but need not emphasize least-class generation in the same way. - **Neizvěstnost / uncertainty:** The dictionary directly attests definicija but not the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary directly attests definicija but not the complete specialist compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A definition giving base objects and closure clauses that generate the least admissible class.’, should ‘induktivna definicija’ remain preferred over ‘rekursivna definicija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0104 · logic.unique-readability - **Revizija / recording:** `OLISV-T0104-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **unique readability** — The property that every well-formed expression has a unique parse under the formation rules. - **Medžuslovjansky / Interslavic:** `jednoznačna čitljivost`; lemma `jednoznačna čitljivost`; Cyrillic `једнозначна читљивост` - **Gramatika / use:** feminine noun phrase. Genitive jednoznačnoj čitljivosti; treat as a parsing theorem, not an automatic consequence of induction. - **Argumentacija / rationale:** The descriptive native phrase is transparent and mirrors the established theorem label in the translated propositional corpus. - **Uvěrjenost / status:** 0.71 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 23-29 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 23-29 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `unikalna čitljivost` — Unikalna can suggest mere distinctness rather than a unique structural parse. - **Neizvěstnost / uncertainty:** No direct frozen dictionary row attests the specialist phrase.; The English source understates the extra delimiter and arity assumptions needed for the theorem. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct frozen dictionary row attests the specialist phrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The English source understates the extra delimiter and arity assumptions needed for the theorem. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The property that every well-formed expression has a unique parse under the formation rules.’, should ‘jednoznačna čitljivost’ remain preferred over ‘unikalna čitljivost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0105 · logic.nonlogical-symbol - **Revizija / recording:** `OLISV-T0105-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **nonlogical symbol** — A symbol whose interpretation may vary between structures rather than being fixed by the logical system. - **Medžuslovjansky / Interslavic:** `nelogičny simbol`; lemma `nelogičny simbol`; Cyrillic `нелогичны симбол` - **Gramatika / use:** masculine noun phrase. Genitive nelogičnogo simbola; includes predicate, constant, and function symbols in this source convention. - **Argumentacija / rationale:** Transparent negated adjective plus a directly attested symbol head matches all comparison traditions. - **Uvěrjenost / status:** 0.83 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 20-30 and 49-60 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 20-30 and 49-60 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10432]; dictionary_id=363 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16812]; dictionary_id=12221 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `opisny simbol` — The alternative does not express the interpretation-varying logical boundary. - **Neizvěstnost / uncertainty:** The exact boundary between logical and nonlogical vocabulary is conventional and system-dependent. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact boundary between logical and nonlogical vocabulary is conventional and system-dependent. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A symbol whose interpretation may vary between structures rather than being fixed by the logical system.’, should ‘nelogičny simbol’ remain preferred over ‘opisny simbol’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0106 · logic.primitive-symbol - **Revizija / recording:** `OLISV-T0106-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **primitive symbol** — A symbol taken as basic rather than introduced by an explicit abbreviation. - **Medžuslovjansky / Interslavic:** `primitivny simbol`; lemma `primitivny simbol`; Cyrillic `примитивны симбол` - **Gramatika / use:** masculine noun phrase. Genitive primitivnogo simbola; contrast with definovany simbol. - **Argumentacija / rationale:** Both components are directly attested and internationally convergent. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 89-113 and 143-156 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 89-113 and 143-156 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13417]; dictionary_id=35198 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16812]; dictionary_id=12221 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `osnovny simbol` — Osnovny is transparent but does not preserve the established primitive/defined technical opposition. - **Neizvěstnost / uncertainty:** The complete compound is compositionally rather than directly attested. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound is compositionally rather than directly attested. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A symbol taken as basic rather than introduced by an explicit abbreviation.’, should ‘primitivny simbol’ remain preferred over ‘osnovny simbol’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0107 · logic.defined-symbol - **Revizija / recording:** `OLISV-T0107-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **defined symbol** — A notational symbol introduced as an abbreviation for expressions in the primitive vocabulary. - **Medžuslovjansky / Interslavic:** `definovany simbol`; lemma `definovany simbol`; Cyrillic `дефинованы симбол` - **Gramatika / use:** masculine noun phrase. Genitive definovanogo simbola; the definition must expand back into the primitive language. - **Argumentacija / rationale:** Definovany is already used consistently in the edition and the symbol head is directly attested. - **Uvěrjenost / status:** 0.79 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 89-113 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 89-113 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4862]; dictionary_id=2624 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16812]; dictionary_id=12221 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 108 - **Alternativy / alternatives:** `opreděljeny simbol` — The alternative is grammatical but can mean merely determined rather than explicitly introduced by definition. - **Neizvěstnost / uncertainty:** The exact participial compound is editorial rather than a direct dictionary lemma. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact participial compound is editorial rather than a direct dictionary lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A notational symbol introduced as an abbreviation for expressions in the primitive vocabulary.’, should ‘definovany simbol’ remain preferred over ‘opreděljeny simbol’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0108 · logic.identity - **Revizija / recording:** `OLISV-T0108-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **identity** — The distinguished two-place logical relation expressing that two terms denote the same object. - **Medžuslovjansky / Interslavic:** `identičnost`; lemma `identičnost`; Cyrillic `идентичност` - **Gramatika / use:** feminine noun. Genitive identičnosti; record that many traditions call the same symbol equality. - **Argumentacija / rationale:** Standard-Latin normalization of a direct identity lemma with strong international and native comparanda. - **Uvěrjenost / status:** 0.82 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 20-27 and 44-48 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 20-27 and 44-48 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[8849]; dictionary_id=35748 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `ravnost` — Equality is an important alternative, but this source explicitly labels the logical symbol identity. - **Neizvěstnost / uncertainty:** The equality/identity naming choice is conventional and must remain visible. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The equality/identity naming choice is conventional and must remain visible. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The distinguished two-place logical relation expressing that two terms denote the same object.’, should ‘identičnost’ remain preferred over ‘ravnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0109 · logic.conjunction - **Revizija / recording:** `OLISV-T0109-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **conjunction** — The conjunction connective, classically truth-functional and constructively interpreted as requiring a paired proof of both conjuncts. - **Medžuslovjansky / Interslavic:** `konjunkcija`; lemma `konjunkcija`; Cyrillic `конјункција` - **Gramatika / use:** feminine noun. Genitive konjunkcije; reserve svęznik for the superordinate connective category. - **Argumentacija / rationale:** Direct dictionary logic sense and near-unanimous international comparison support. The dedicated OLP-0179 unit now broadens the current sense while the earlier revision remains preserved as scope provenance. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 97-107 and 215 · BHK proof-pair and Kripke forcing clauses for conjunction - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 97-107 and 215 (RESOLVED); `OL-FOL-SYN-LANGUAGES` lines 35-45 and 94-103 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4002]; dictionary_id=808 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 38, 96 - **Alternativy / alternatives:** `logično i` — The descriptive reading is useful pedagogically but is not a stable compact terminological head. - **Neizvěstnost / uncertainty:** Croatian spelling in the frozen row omits one n; the canonical international form follows the Interslavic lemma.; Earlier narrower sense wording remains preserved in the superseded revision. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Croatian spelling in the frozen row omits one n; the canonical international form follows the Interslavic lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Earlier narrower sense wording remains preserved in the superseded revision. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The conjunction connective, classically truth-functional and constructively interpreted as requiring a paired proof of both conjuncts.’, should ‘konjunkcija’ remain preferred over ‘logično i’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0110 · logic.falsity - **Revizija / recording:** `OLISV-T0110-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **falsity** — The false truth value or propositional constant denoting it. - **Medžuslovjansky / Interslavic:** `ložnost`; lemma `ložnost`; Cyrillic `ложност` - **Gramatika / use:** feminine noun. Genitive ložnosti; standard-Latin normalization of dictionary lȯžnosť. - **Argumentacija / rationale:** Direct falsity lemma and strong East/South cognacy; the source fixes the logical truth-value sense. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 35-45 and 127-131 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 35-45 and 127-131 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6703]; dictionary_id=32196 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `neistina` — The transparent antonym is retained as a reader-facing synonym but does not distinguish falsehood from the technical truth value as sharply. - **Neizvěstnost / uncertainty:** Polish and Czech commonly prefer fałszywość/falešnost rather than the lož- family. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish and Czech commonly prefer fałszywość/falešnost rather than the lož- family. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The false truth value or propositional constant denoting it.’, should ‘ložnost’ remain preferred over ‘neistina’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0111 · logic.notation - **Revizija / recording:** `OLISV-T0111-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **notation** — A conventional system for writing formal expressions and operators. - **Medžuslovjansky / Interslavic:** `notacija`; lemma `notacija`; Cyrillic `нотација` - **Gramatika / use:** feminine noun. Genitive notacije; use zapis for a particular written occurrence rather than the system. - **Argumentacija / rationale:** Direct international lemma with broad cross-Slavic convergence. - **Uvěrjenost / status:** 0.92 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 119-140 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 119-140 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11842]; dictionary_id=36115 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `zapis` — Zapis is directly attested but more readily names an individual inscription or record. - **Neizvěstnost / uncertainty:** The dictionary also offers zapis; the use note preserves the distinction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary also offers zapis; the use note preserves the distinction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A conventional system for writing formal expressions and operators.’, should ‘notacija’ remain preferred over ‘zapis’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0112 · logic.polish-notation - **Revizija / recording:** `OLISV-T0112-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Polish notation** — Prefix notation in which operators precede their operands and parentheses can be omitted. - **Medžuslovjansky / Interslavic:** `poljska notacija`; lemma `poljska notacija`; Cyrillic `пољска нотација` - **Gramatika / use:** feminine noun phrase. Genitive poljskoj notacije; capitalize only when normal title conventions require it. - **Argumentacija / rationale:** Transparent compound of two directly attested components and standard specialist national forms. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 19-24 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 19-24 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13106]; dictionary_id=2935 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11842]; dictionary_id=36115 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `prefiksna notacija` — The descriptive synonym is useful but loses the historical name used by the source. - **Neizvěstnost / uncertainty:** The complete historical compound is compositional rather than a direct row. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete historical compound is compositional rather than a direct row. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Prefix notation in which operators precede their operands and parentheses can be omitted.’, should ‘poljska notacija’ remain preferred over ‘prefiksna notacija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0113 · logic.negation - **Revizija / recording:** `OLISV-T0113-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **negation** — The unary truth-functional connective reversing truth and falsity. - **Medžuslovjansky / Interslavic:** `negacija`; lemma `negacija`; Cyrillic `негација` - **Gramatika / use:** feminine noun. Genitive negacije; the connective itself may also be read as ne. - **Argumentacija / rationale:** International form is stable across the Slavic logical traditions. - **Uvěrjenost / status:** 0.85 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 35-45 and 119-124 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 35-45 and 119-124 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 37, 95 - **Alternativy / alternatives:** `odrěčenje` — A native-looking alternative is not broadly established for the truth-functional connective. - **Neizvěstnost / uncertainty:** No exact frozen dictionary row attests the logical noun. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No exact frozen dictionary row attests the logical noun. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The unary truth-functional connective reversing truth and falsity.’, should ‘negacija’ remain preferred over ‘odrěčenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0114 · logic.disjunction - **Revizija / recording:** `OLISV-T0114-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **disjunction** — The disjunction connective, classically truth-functional and constructively interpreted as a proof of one disjunct together with information identifying it. - **Medžuslovjansky / Interslavic:** `disjunkcija`; lemma `disjunkcija`; Cyrillic `дисјункција` - **Gramatika / use:** feminine noun. Genitive disjunkcije; qualify as inclusive if contrast with exclusive disjunction matters. - **Argumentacija / rationale:** International specialist form converges across all comparison languages. The dedicated OLP-0179 unit now broadens the current sense while the earlier revision remains preserved as scope provenance. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 97-107 and 216 · BHK tagged alternative and Kripke forcing clauses for disjunction - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 97-107 and 216 (RESOLVED); `OL-FOL-SYN-LANGUAGES` lines 35-45 and 94-103 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 39, 97 - **Alternativy / alternatives:** `logično ili` — The descriptive reading is clear but not a stable terminological head for the connective. - **Neizvěstnost / uncertainty:** No exact frozen dictionary row attests the logic-specific noun.; Earlier narrower sense wording remains preserved in the superseded revision. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No exact frozen dictionary row attests the logic-specific noun. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Earlier narrower sense wording remains preserved in the superseded revision. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The disjunction connective, classically truth-functional and constructively interpreted as a proof of one disjunct together with information identifying it.’, should ‘disjunkcija’ remain preferred over ‘logično ili’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0115 · logic.conditional - **Revizija / recording:** `OLISV-T0115-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **conditional** — The binary material conditional connective, false only when its antecedent is true and consequent false. - **Medžuslovjansky / Interslavic:** `uslovny sveznik`; lemma `uslovny sveznik`; Cyrillic `условны свезник` - **Gramatika / use:** masculine noun phrase. Genitive uslovnogo sveznika; use implikacija for the corresponding formula or relation where context permits. - **Argumentacija / rationale:** Native uslovny is directly attested and the connective head preserves the symbol category. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 35-45 and 119-127 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 35-45 and 119-127 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3931]; dictionary_id=1618 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4001]; dictionary_id=36359 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 123 - **Alternativy / alternatives:** `kondicional` — The direct dictionary noun is grammatical rather than logic-specific and is less transparent outside South Slavic. - **Neizvěstnost / uncertainty:** The source glossary key remains conditional and may render a different surface until glossary localization is frozen. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source glossary key remains conditional and may render a different surface until glossary localization is frozen. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The binary material conditional connective, false only when its antecedent is true and consequent false.’, should ‘uslovny sveznik’ remain preferred over ‘kondicional’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0116 · logic.biconditional - **Revizija / recording:** `OLISV-T0116-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **biconditional** — The binary connective true exactly when its two component formulas have the same truth value. - **Medžuslovjansky / Interslavic:** `dvojsměrna implikacija`; lemma `dvojsměrna implikacija`; Cyrillic `двојсмєрна импликација` - **Gramatika / use:** feminine noun phrase. Genitive dvojsměrnoj implikacije; materialna ekvivalentnost is a semantic synonym in this setting. - **Argumentacija / rationale:** The descriptive phrase is more broadly transparent than the compressed international loan. - **Uvěrjenost / status:** 0.7 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 35-45 and 125-127 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 35-45 and 125-127 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `bikondicional` — The loan is concise but is unevenly established and opaque to readers without English-derived terminology. - **Neizvěstnost / uncertainty:** Several traditions prefer equivalence rather than biconditional terminology. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Several traditions prefer equivalence rather than biconditional terminology. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The binary connective true exactly when its two component formulas have the same truth value.’, should ‘dvojsměrna implikacija’ remain preferred over ‘bikondicional’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0117 · logic.universal-quantifier - **Revizija / recording:** `OLISV-T0117-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **universal quantifier** — A quantifier asserting that its scope holds for every domain object. - **Medžuslovjansky / Interslavic:** `universalny kvantifikator`; lemma `universalny kvantifikator`; Cyrillic `универсалны квантификатор` - **Gramatika / use:** masculine noun phrase. Genitive universalnogo kvantifikatora; associated with the forall symbol. - **Argumentacija / rationale:** International modifier plus canonical quantifier is immediately recognizable in every comparison language. - **Uvěrjenost / status:** 0.89 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 35-45 and 133-140 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 35-45 and 133-140 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 42, 100 - **Alternativy / alternatives:** `občny kvantifikator` — The native adjective can suggest generality without the precise all-objects force. - **Neizvěstnost / uncertainty:** The complete compound is not a direct frozen dictionary headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound is not a direct frozen dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A quantifier asserting that its scope holds for every domain object.’, should ‘universalny kvantifikator’ remain preferred over ‘občny kvantifikator’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0118 · logic.existential-quantifier - **Revizija / recording:** `OLISV-T0118-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **existential quantifier** — A quantifier asserting that its scope holds for at least one domain object. - **Medžuslovjansky / Interslavic:** `eksistencialny kvantifikator`; lemma `eksistencialny kvantifikator`; Cyrillic `ексистенциалны квантификатор` - **Gramatika / use:** masculine noun phrase. Genitive eksistencialnogo kvantifikatora; associated with the exists symbol. - **Argumentacija / rationale:** International modifier plus canonical quantifier is broadly recognizable and semantically precise. - **Uvěrjenost / status:** 0.89 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 35-45 and 133-140 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 35-45 and 133-140 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 43, 101 - **Alternativy / alternatives:** `bytnostny kvantifikator` — A native calque is not established and risks metaphysical rather than binding semantics. - **Neizvěstnost / uncertainty:** The complete compound is not a direct frozen dictionary headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound is not a direct frozen dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A quantifier asserting that its scope holds for at least one domain object.’, should ‘eksistencialny kvantifikator’ remain preferred over ‘bytnostny kvantifikator’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0119 · logic.propositional-constant - **Revizija / recording:** `OLISV-T0119-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **propositional constant** — A zero-argument logical symbol with a fixed truth value. - **Medžuslovjansky / Interslavic:** `propozicijska konstanta`; lemma `propozicijska konstanta`; Cyrillic `пропозицијска константа` - **Gramatika / use:** feminine noun phrase. Genitive propozicijskoj konstanty; here the head denotes the logical symbol, not an arbitrary stable quantity. - **Argumentacija / rationale:** The international compound matches established edition usage and all national specialist traditions. - **Uvěrjenost / status:** 0.8 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 35-45 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 35-45 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 44, 45 - **Alternativy / alternatives:** `istinnostna konstanta` — The descriptive alternative is transparent but less established than the source's propositional terminology. - **Neizvěstnost / uncertainty:** No exact frozen dictionary row attests the complete compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No exact frozen dictionary row attests the complete compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A zero-argument logical symbol with a fixed truth value.’, should ‘propozicijska konstanta’ remain preferred over ‘istinnostna konstanta’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0120 · logic.truth-functional-completeness - **Revizija / recording:** `OLISV-T0120-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **truth-functional completeness** — The property that a set of Boolean operators can express every truth function. - **Medžuslovjansky / Interslavic:** `istinnostno-funkcionalna polnota`; lemma `istinnostno-funkcionalna polnota`; Cyrillic `истинностно-функционална полнота` - **Gramatika / use:** feminine noun phrase. Genitive istinnostno-funkcionalnoj polnoty; apply to an operator set or basis, not an arbitrary proof system. - **Argumentacija / rationale:** The compound reuses the canonical polnota while spelling out the truth-functional restriction. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 143-156 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 143-156 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `funkcionalna polnota` — The shorter form can be misread as completeness for arbitrary mathematical functions. - **Neizvěstnost / uncertainty:** The exact compound is editorial and not a direct dictionary lemma. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact compound is editorial and not a direct dictionary lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The property that a set of Boolean operators can express every truth function.’, should ‘istinnostno-funkcionalna polnota’ remain preferred over ‘funkcionalna polnota’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0121 · logic.arity - **Revizija / recording:** `OLISV-T0121-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **arity** — The fixed number of arguments taken by a predicate or function symbol. - **Medžuslovjansky / Interslavic:** `městnost`; lemma `městnost`; Cyrillic `мєстност` - **Gramatika / use:** feminine noun. Genitive městnosti; prefer jednoměstny, dvoměstny, and n-městny for logical argument count. Retain unarny/binarny as searchable international aliases and accepted legacy surfaces. - **Argumentacija / rationale:** The transparent place-count family remains preferred and is already used throughout the accepted first-order text. The source and accepted earlier pages also expose unary/binary international variants, which are recorded as aliases rather than competing heads. - **Uvěrjenost / status:** 0.76 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` · lines 23-34 · Typed function/relation argument counts, including unary and binary relations - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 46-58 and 68-82 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `OL-FOL-BEYOND-MANY-SORTED-LOGIC` lines 23-34 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2116]; dictionary_id=35293; lemma=binarny; gloss=binary (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/many-sorted-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `arnost` — The international calque is concise but is less broadly transparent in ordinary Slavic reading.; `unarnost/binarnost` — Recognizable international aliases, but less productive and less internally consistent than the established -městny family. - **Neizvěstnost / uncertainty:** National traditions split between arity loans, place-count descriptions, and unary/binary international adjectives. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National traditions split between arity loans, place-count descriptions, and unary/binary international adjectives. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The fixed number of arguments taken by a predicate or function symbol.’, should ‘městnost’ remain preferred over ‘arnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0122 · logic.logical-symbol - **Revizija / recording:** `OLISV-T0122-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **logical symbol** — A symbol whose interpretation or inferential role is fixed by the logical system. - **Medžuslovjansky / Interslavic:** `logičny simbol`; lemma `logičny simbol`; Cyrillic `логичны симбол` - **Gramatika / use:** masculine noun phrase. Genitive logičnogo simbola; contrast with nelogičny simbol. - **Argumentacija / rationale:** Both components are directly attested and the compound converges across all national traditions. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 30-49 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 30-49 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10432]; dictionary_id=363 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16812]; dictionary_id=12221 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `formalny simbol` — Formal is broader and does not mark the logical/nonlogical division. - **Neizvěstnost / uncertainty:** Which symbols count as logical is a convention of the formal system. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Which symbols count as logical is a convention of the formal system. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A symbol whose interpretation or inferential role is fixed by the logical system.’, should ‘logičny simbol’ remain preferred over ‘formalny simbol’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0123 · logic.operator - **Revizija / recording:** `OLISV-T0123-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **operator** — A formal operation symbol, here covering connectives and quantifiers when treated uniformly. - **Medžuslovjansky / Interslavic:** `operator`; lemma `operator`; Cyrillic `оператор` - **Gramatika / use:** masculine noun. Genitive operatora; use the narrower sveznik or kvantifikator when the class matters. - **Argumentacija / rationale:** International specialist noun is universally recognizable and already embedded in source terminology. - **Uvěrjenost / status:** 0.85 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 143-156 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 143-156 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 144, 146, 147, 152, 155 - **Alternativy / alternatives:** `operacija` — The operation is the semantic or syntactic action, not necessarily the symbol that performs it. - **Neizvěstnost / uncertainty:** The dictionary contains only an operator-derived adjective, not the mathematical/logical noun. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary contains only an operator-derived adjective, not the mathematical/logical noun. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formal operation symbol, here covering connectives and quantifiers when treated uniformly.’, should ‘operator’ remain preferred over ‘operacija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0124 · logic.symbol - **Revizija / recording:** `OLISV-T0124-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **symbol** — A basic written token in the alphabet of a formal language. - **Medžuslovjansky / Interslavic:** `simbol`; lemma `simbol`; Cyrillic `симбол` - **Gramatika / use:** masculine noun. Genitive simbola; distinguish symbol type from a particular printed occurrence where necessary. - **Argumentacija / rationale:** Direct lemma and virtually identical national forms give maximal accessibility. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 13-30 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 13-30 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16812]; dictionary_id=12221 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 23, 24, 25, 26, 30, 33, 50, 93, 108, 110, 112, 113, 117, 120, 123, 125, 128, 130, 145, 146 - **Alternativy / alternatives:** `znak` — Znak remains a useful synonym but is broader and can denote signs, values, or marks. - **Neizvěstnost / uncertainty:** The dictionary also glosses token; Open Logic supplies the formal-language restriction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary also glosses token; Open Logic supplies the formal-language restriction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A basic written token in the alphabet of a formal language.’, should ‘simbol’ remain preferred over ‘znak’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0125 · logic.parenthesis - **Revizija / recording:** `OLISV-T0125-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **parenthesis** — A punctuation symbol used to delimit the syntactic grouping of an expression. - **Medžuslovjansky / Interslavic:** `zatvorka`; lemma `zatvorka`; Cyrillic `затворка` - **Gramatika / use:** feminine noun. Genitive zatvorky; use the plural zatvorky for a matching pair. - **Argumentacija / rationale:** Direct bracket/parenthesis lemma bridges East, West, and South national terms through a transparent closure root. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO` · lines 19-24 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-INTRO` lines 19-24 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2433]; dictionary_id=35498 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-syntax.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `skobka` — The East-Slavic loan is familiar but substantially less accessible in West and South Slavic. - **Neizvěstnost / uncertainty:** The lemma covers brackets generally; the source restricts it to grouping parentheses. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The lemma covers brackets generally; the source restricts it to grouping parentheses. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A punctuation symbol used to delimit the syntactic grouping of an expression.’, should ‘zatvorka’ remain preferred over ‘skobka’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0126 · logic.punctuation - **Revizija / recording:** `OLISV-T0126-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **punctuation** — The commas and grouping marks included in the written vocabulary of the formal language. - **Medžuslovjansky / Interslavic:** `interpunkcija`; lemma `interpunkcija`; Cyrillic `интерпункција` - **Gramatika / use:** feminine noun. Genitive interpunkcije; use znak interpunkcije for one punctuation mark. - **Argumentacija / rationale:** Direct international lemma has strong national convergence. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 13-18 and 59-60 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 13-18 and 59-60 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13662]; dictionary_id=23620 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `punktuacija` — A competing internationalism appears in some drafts but is less aligned with the frozen direct lemma. - **Neizvěstnost / uncertainty:** Serbian and Bulgarian comparanda also use analytic phrases for punctuation marks. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Serbian and Bulgarian comparanda also use analytic phrases for punctuation marks. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The commas and grouping marks included in the written vocabulary of the formal language.’, should ‘interpunkcija’ remain preferred over ‘punktuacija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0127 · logic.predicate-symbol - **Revizija / recording:** `OLISV-T0127-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **predicate symbol** — A nonlogical symbol of fixed arity interpreted as a relation in a structure. - **Medžuslovjansky / Interslavic:** `predikatny simbol`; lemma `predikatny simbol`; Cyrillic `предикатны симбол` - **Gramatika / use:** masculine noun phrase. Genitive predikatnogo simbola; reserve predikat for the broader category or interpreted property where context allows. - **Argumentacija / rationale:** The compound preserves the syntactic-symbol type and reuses the directly attested logic predicate. - **Uvěrjenost / status:** 0.79 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 13-27 and 52-58 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 13-27 and 52-58 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13292]; dictionary_id=36370 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16812]; dictionary_id=12221 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `predikat` — The bare noun risks conflating the object-language symbol with its interpreted relation. - **Neizvěstnost / uncertainty:** The complete compound is compositional rather than directly attested. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound is compositional rather than directly attested. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A nonlogical symbol of fixed arity interpreted as a relation in a structure.’, should ‘predikatny simbol’ remain preferred over ‘predikat’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0128 · logic.material-equivalence - **Revizija / recording:** `OLISV-T0128-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **material equivalence** — The truth-functional equivalence relation represented by a biconditional. - **Medžuslovjansky / Interslavic:** `materialna ekvivalentnost`; lemma `materialna ekvivalentnost`; Cyrillic `материална еквивалентност` - **Gramatika / use:** feminine noun phrase. Genitive materialnoj ekvivalentnosti; do not conflate with arbitrary mathematical equivalence relations. - **Argumentacija / rationale:** International components are stable across the national logical traditions and the material modifier fixes the intended sense. - **Uvěrjenost / status:** 0.83 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-LANGUAGES` · lines 125-127 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-LANGUAGES` lines 125-127 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `odnošenje ekvivalentnosti` — The existing mathematical relation term is broader and does not specify truth-functional material equivalence. - **Neizvěstnost / uncertainty:** Some textbooks use logical equivalence for a semantic relation holding under every valuation rather than the object-language connective. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Some textbooks use logical equivalence for a semantic relation holding under every valuation rather than the object-language connective. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The truth-functional equivalence relation represented by a biconditional.’, should ‘materialna ekvivalentnost’ remain preferred over ‘odnošenje ekvivalentnosti’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0129 · logic.implication - **Revizija / recording:** `OLISV-T0129-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **implication** — The implication connective, classically truth-functional and constructively interpreted as a proof-transforming procedure; in Kripke semantics it is forced at a world exactly when every later world forcing the antecedent also forces the consequent. - **Medžuslovjansky / Interslavic:** `implikacija`; lemma `implikacija`; Cyrillic `импликација` - **Gramatika / use:** feminine noun. Genitive implikacije; use semantic consequence slědovanje for the model-theoretic relation. - **Argumentacija / rationale:** International term converges strongly and remains distinct from canonical semantic consequence. The dedicated OLP-0179 unit now broadens the current sense while the earlier revision remains preserved as scope provenance. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 97-107 and 217-218 · BHK proof transformation and Kripke future-world clause for implication - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 97-107 and 217-218 (RESOLVED); `OL-FOL-SYN-LANGUAGES` lines 119-127 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/first-order-languages.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `slědovanje` — Semantic consequence is not the same as the material conditional connective. - **Neizvěstnost / uncertainty:** In informal mathematics implication can also name consequence; the edition keeps the formal distinction explicit.; Earlier narrower sense wording remains preserved in the superseded revision. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: In informal mathematics implication can also name consequence; the edition keeps the formal distinction explicit. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Earlier narrower sense wording remains preserved in the superseded revision. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The implication connective, classically truth-functional and constructively interpreted as a proof-transforming procedure; in Kripke semantics it is forced at a world exactly when every later world forcing the antecedent also forces the consequent.’, should ‘implikacija’ remain preferred over ‘slědovanje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0130 · logic.closed-term - **Revizija / recording:** `OLISV-T0130-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **closed term** — A first-order term containing no variable occurrence. - **Medžuslovjansky / Interslavic:** `zamknuty term`; lemma `zamknuty term`; Cyrillic `замкнуты терм` - **Gramatika / use:** masculine noun phrase. Genitive zamknutogo terma; use only for the syntactic no-free-variable sense. - **Argumentacija / rationale:** The direct closed adjective bridges Russian, Ukrainian, Polish and Czech forms and is already stable throughout the edition's completeness tranche. - **Uvěrjenost / status:** 0.82 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 17-39 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMULAS` lines 17-39 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3510]; dictionary_id=31523 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 29 - **Alternativy / alternatives:** `zatvorjeny term` — This strong South-Slavic and Czech-facing variant remains common in earlier proof-system units but is not selected as the single canon head. - **Neizvěstnost / uncertainty:** Earlier accepted units alternate zamknuty and zatvorjeny; the later normalization must remain monotonic and reversible. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Earlier accepted units alternate zamknuty and zatvorjeny; the later normalization must remain monotonic and reversible. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A first-order term containing no variable occurrence.’, should ‘zamknuty term’ remain preferred over ‘zatvorjeny term’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0131 · logic.abbreviation - **Revizija / recording:** `OLISV-T0131-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **abbreviation** — A notation introduced as a shorter written surrogate for a fully specified expression. - **Medžuslovjansky / Interslavic:** `skraćenje`; lemma `skraćenje`; Cyrillic `скрачење` - **Gramatika / use:** neuter noun. Genitive skraćenja; verb skraćati; distinguish an abbreviation convention from a defined object-language symbol where necessary. - **Argumentacija / rationale:** The noun is the regular derivation from the direct dictionary verb skraćati and balances East, West and South Slavic shortening roots. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 102-168 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMULAS` lines 102-168 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15357]; dictionary_id=3139 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 101, 128, 132, 136, 138, 142, 146, 149, 152, 155 - **Alternativy / alternatives:** `sokraćenje` — The prothetic form is East-facing but less aligned with the direct dictionary head and the established skrać- family. - **Neizvěstnost / uncertainty:** The frozen dictionary attests the verb rather than this exact noun. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary attests the verb rather than this exact noun. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A notation introduced as a shorter written surrogate for a fully specified expression.’, should ‘skraćenje’ remain preferred over ‘sokraćenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0132 · logic.syntactic-identity - **Revizija / recording:** `OLISV-T0132-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **syntactic identity** — Exact token-by-token identity of two symbol strings, independent of semantic equivalence. - **Medžuslovjansky / Interslavic:** `sintaktična identičnost`; lemma `sintaktična identičnost`; Cyrillic `синтактична идентичност` - **Gramatika / use:** feminine noun phrase. Genitive sintaktičnoj identičnosti; reserve identičnost alone for the broader logical relation and never substitute semantic equivalence. - **Argumentacija / rationale:** The compound specializes the established identity term with an internationally convergent syntactic modifier. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 170-183 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMULAS` lines 170-183 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[8849]; dictionary_id=35748 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 170 - **Alternativy / alternatives:** `tekstualna ravnost` — The alternative is less precise about token identity and risks confusion with mathematical equality. - **Neizvěstnost / uncertainty:** The exact compound is editorial rather than a direct dictionary row. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact compound is editorial rather than a direct dictionary row. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Exact token-by-token identity of two symbol strings, independent of semantic equivalence.’, should ‘sintaktična identičnost’ remain preferred over ‘tekstualna ravnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0133 · logic.symbol-string - **Revizija / recording:** `OLISV-T0133-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **string of symbols** — A finite ordered sequence of symbol occurrences treated as a syntactic object. - **Medžuslovjansky / Interslavic:** `niz simbolov`; lemma `niz simbolov`; Cyrillic `низ симболов` - **Gramatika / use:** masculine noun phrase. Genitive niza simbolov; use niz only for the formal ordered-sequence sense in this context. - **Argumentacija / rationale:** The native sequence head is maximally transparent in South Slavic and remains legible through the wider Slavic sequence vocabulary; the explicit symbol complement blocks the physical-string sense. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 170-183 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMULAS` lines 170-183 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16812]; dictionary_id=12221 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 178 - **Alternativy / alternatives:** `struna simbolov` — A literal string cognate denotes cord or an instrument string in the frozen dictionary and is unsuitable for the formal object. - **Neizvěstnost / uncertainty:** The noun niz is an editorial technical extension rather than a direct frozen dictionary headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The noun niz is an editorial technical extension rather than a direct frozen dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A finite ordered sequence of symbol occurrences treated as a syntactic object.’, should ‘niz simbolov’ remain preferred over ‘struna simbolov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0134 · logic.concatenation - **Revizija / recording:** `OLISV-T0134-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **concatenation** — The operation that joins symbol strings in order without changing their internal token order. - **Medžuslovjansky / Interslavic:** `konkatenacija`; lemma `konkatenacija`; Cyrillic `конкатенација` - **Gramatika / use:** feminine noun. Genitive konkatenacije; arguments are ordered symbol strings. - **Argumentacija / rationale:** The international specialist form is nearly identical across all comparison traditions and avoids an improvised native metaphor. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 176-183 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMULAS` lines 176-183 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `sojedinjenje nizov` — The descriptive alternative is understandable but can denote set-like or unordered joining rather than ordered string concatenation. - **Neizvěstnost / uncertainty:** No exact frozen dictionary row attests the computational noun. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No exact frozen dictionary row attests the computational noun. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The operation that joins symbol strings in order without changing their internal token order.’, should ‘konkatenacija’ remain preferred over ‘sojedinjenje nizov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0135 · logic.substring - **Revizija / recording:** `OLISV-T0135-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **substring** — A contiguous sequence of symbols occurring inside a longer symbol string. - **Medžuslovjansky / Interslavic:** `podniz`; lemma `podniz`; Cyrillic `подниз` - **Gramatika / use:** masculine noun. Genitive podniza; unlike podposlědovnost, the occurrence must be contiguous. - **Argumentacija / rationale:** The compact native compound directly encodes containment in a symbol sequence and agrees with South and Bulgarian technical usage. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 176-183 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMULAS` lines 176-183 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 182 - **Alternativy / alternatives:** `podposlědovnost` — A subsequence need not be contiguous and therefore changes the source's precise claim. - **Neizvěstnost / uncertainty:** Polish and Czech prefer compounds based on chain/string rather than niz. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish and Czech prefer compounds based on chain/string rather than niz. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A contiguous sequence of symbols occurring inside a longer symbol string.’, should ‘podniz’ remain preferred over ‘podposlědovnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0136 · logic.opening-parenthesis - **Revizija / recording:** `OLISV-T0136-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **opening parenthesis** — The left member of a parenthesis pair that begins a grouped expression. - **Medžuslovjansky / Interslavic:** `otvarjajuća zatvorka`; lemma `otvarjajuća zatvorka`; Cyrillic `отварјајуча затворка` - **Gramatika / use:** feminine noun phrase. Genitive otvarjajućej zatvorky; pair with zatvarjajuća zatvorka. - **Argumentacija / rationale:** Direct open and parenthesis components yield a transparent form matching every comparison language's directional distinction. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 176-183 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMULAS` lines 176-183 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12120]; dictionary_id=2399 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2433]; dictionary_id=35498 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 181 - **Alternativy / alternatives:** `lěva zatvorka` — Left is visually clear but less robust across writing-direction contexts and does not name the opening function. - **Neizvěstnost / uncertainty:** The participial compound is compositional rather than a direct row. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The participial compound is compositional rather than a direct row. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The left member of a parenthesis pair that begins a grouped expression.’, should ‘otvarjajuća zatvorka’ remain preferred over ‘lěva zatvorka’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0137 · logic.closing-parenthesis - **Revizija / recording:** `OLISV-T0137-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **closing parenthesis** — The right member of a parenthesis pair that ends a grouped expression. - **Medžuslovjansky / Interslavic:** `zatvarjajuća zatvorka`; lemma `zatvarjajuća zatvorka`; Cyrillic `затварјајуча затворка` - **Gramatika / use:** feminine noun phrase. Genitive zatvarjajućej zatvorky; pair with otvarjajuća zatvorka. - **Argumentacija / rationale:** Direct close and parenthesis components yield a transparent form matching every comparison language's directional distinction. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 176-183 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMULAS` lines 176-183 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3508]; dictionary_id=5204 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2433]; dictionary_id=35498 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `prava zatvorka` — Right is visually clear but less robust across writing-direction contexts and does not name the closing function. - **Neizvěstnost / uncertainty:** The participial compound is compositional rather than a direct row. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The participial compound is compositional rather than a direct row. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The right member of a parenthesis pair that ends a grouped expression.’, should ‘zatvarjajuća zatvorka’ remain preferred over ‘prava zatvorka’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0138 · proof.structural-induction - **Revizija / recording:** `OLISV-T0138-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **structural induction** — An induction principle proving a property for every inductively generated expression by covering the base constructors and preserving constructors. - **Medžuslovjansky / Interslavic:** `strukturna indukcija`; lemma `strukturna indukcija`; Cyrillic `структурна индукција` - **Gramatika / use:** feminine noun phrase. Genitive strukturnoj indukcije; the source instantiates it separately for terms and formulas. - **Argumentacija / rationale:** The international compound is identical or trivially adapted throughout the six specialist traditions and already occurs pedagogically in the accepted edition. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 185-235 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMULAS` lines 185-235 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16425]; dictionary_id=36307 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `občna indukcija` — The generic label loses the essential induction-on-construction-structure restriction. - **Neizvěstnost / uncertainty:** The frozen dictionary attests only the adjective, not the complete proof-theoretic compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary attests only the adjective, not the complete proof-theoretic compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An induction principle proving a property for every inductively generated expression by covering the base constructors and preserving constructors.’, should ‘strukturna indukcija’ remain preferred over ‘občna indukcija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0139 · functions.successor-function - **Revizija / recording:** `OLISV-T0139-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **successor function** — The arithmetic function sending each natural number to its immediate successor. - **Medžuslovjansky / Interslavic:** `funkcija naslědnika`; lemma `funkcija naslědnika`; Cyrillic `функција наслєдника` - **Gramatika / use:** feminine noun phrase. Genitive funkcije naslědnika; distinguish the mathematical function from the postfix function symbol used to denote it. - **Argumentacija / rationale:** The compound reuses the canonical function term and a direct successor lemma transparent across South Slavic and related national specialist forms. - **Uvěrjenost / status:** 0.82 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMULAS` · lines 160-168 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMULAS` lines 160-168 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7434]; dictionary_id=1289 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16538]; dictionary_id=9462 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 164 - **Alternativy / alternatives:** `slědujuća funkcija` — The adjective can suggest the next function in a list rather than the function mapping an argument to its successor. - **Neizvěstnost / uncertainty:** Russian often uses funkcija sledovanija rather than a successor noun compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Russian often uses funkcija sledovanija rather than a successor noun compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The arithmetic function sending each natural number to its immediate successor.’, should ‘funkcija naslědnika’ remain preferred over ‘slědujuća funkcija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0140 · logic.property - **Revizija / recording:** `OLISV-T0140-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **property** — A condition or characteristic that may be borne by mathematical objects, including numbers, as well as by syntactic or semantic classes. - **Medžuslovjansky / Interslavic:** `svojstvo`; lemma `svojstvo`; Cyrillic `својство` - **Gramatika / use:** neuter noun. Genitive svojstva; in induction clauses say svojstvo važi for an expression. - **Argumentacija / rationale:** The direct lemma is pan-Slavically transparent and its dictionary columns already span property and characteristic readings. The dedicated OLP-0179 unit now broadens the current sense while the earlier revision remains preserved as scope provenance. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 20-21 and 63-72 · Number-theoretic conditions in the motivating examples - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 20-21 and 63-72 (RESOLVED); `OL-FOL-FORMULAS` lines 189-235 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3203]; dictionary_id=22019 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 49, 91; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/terms-formulas.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 192, 214 - **Alternativy / alternatives:** `osobina` — The alternative is common for traits but less stable in formal mathematical predication across the comparison languages. - **Neizvěstnost / uncertainty:** Polish and Czech mathematical usage often prefers własność/vlastnost rather than the dictionary's more general cecha comparandum.; Earlier narrower sense wording remains preserved in the superseded revision. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish and Czech mathematical usage often prefers własność/vlastnost rather than the dictionary's more general cecha comparandum. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Earlier narrower sense wording remains preserved in the superseded revision. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A condition or characteristic that may be borne by mathematical objects, including numbers, as well as by syntactic or semantic classes.’, should ‘svojstvo’ remain preferred over ‘osobina’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0141 · logic.main-operator - **Revizija / recording:** `OLISV-T0141-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **main operator** — The outermost connective or quantifier occurrence that determines a compound formula's immediate syntactic construction. - **Medžuslovjansky / Interslavic:** `glavny operator`; lemma `glavny operator`; Cyrillic `главны оператор` - **Gramatika / use:** masculine noun phrase. Genitive glavnogo operatora; the operator is an occurrence in the written formula, not merely an operator type. - **Argumentacija / rationale:** The direct main adjective plus the already canonical operator head names every eligible connective or quantifier without narrowing the category. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-UNIQUE` · lines 44-53 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-UNIQUE` lines 44-53 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10634]; dictionary_id=2671 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/unique-readability.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `glavny sveznik` — A connective cannot cover quantified formulas, so the alternative is too narrow for the source theorem. - **Neizvěstnost / uncertainty:** The exact compound is editorial; the dictionary head glåvny is normalized to standard/basic Latin glavny. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact compound is editorial; the dictionary head glåvny is normalized to standard/basic Latin glavny. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The outermost connective or quantifier occurrence that determines a compound formula's immediate syntactic construction.’, should ‘glavny operator’ remain preferred over ‘glavny sveznik’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0142 · logic.ambiguous-formula - **Revizija / recording:** `OLISV-T0142-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **ambiguous formula** — A symbol string admitted as a formula that has more than one syntactic parse under the formation rules. - **Medžuslovjansky / Interslavic:** `nejednoznačna formula`; lemma `nejednoznačna formula`; Cyrillic `неједнозначна формула` - **Gramatika / use:** feminine noun phrase. Genitive nejednoznačnoj formuly; reserve this term for syntactic ambiguity, not semantic underdetermination. - **Argumentacija / rationale:** The transparent negation of canonical jednoznačna directly marks failure of unique parsing and avoids the semantic overtones of a two-meaning adjective. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-UNIQUE` · lines 13-26 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-UNIQUE` lines 13-26 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6530]; dictionary_id=17625 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[681]; dictionary_id=17363 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/unique-readability.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `dvusmyslena formula` — The alternative can suggest two semantic meanings rather than two syntactic constructions. - **Neizvěstnost / uncertainty:** The negative compound is regularly derived rather than directly listed in the frozen dictionary. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The negative compound is regularly derived rather than directly listed in the frozen dictionary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A symbol string admitted as a formula that has more than one syntactic parse under the formation rules.’, should ‘nejednoznačna formula’ remain preferred over ‘dvusmyslena formula’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0143 · logic.symbol-occurrence - **Revizija / recording:** `OLISV-T0143-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **symbol occurrence** — One token-position at which a particular symbol appears in a written formula or symbol string. - **Medžuslovjansky / Interslavic:** `pojavjenje simbola`; lemma `pojavjenje simbola`; Cyrillic `појавјење симбола` - **Gramatika / use:** neuter noun phrase. Genitive pojavjenja simbola; count separate token positions even when the printed symbol type is the same. - **Argumentacija / rationale:** A normalized appearance noun plus canonical simbol is broadly readable and lets the text distinguish the first and second occurrence of the same connective. - **Uvěrjenost / status:** 0.8 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-UNIQUE` · lines 44-53 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-UNIQUE` lines 44-53 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[965]; dictionary_id=10818 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16812]; dictionary_id=12221 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/unique-readability.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `pojava simbola` — The shorter noun is transparent in South Slavic but less directly aligned with the frozen Interslavic derivational head. - **Neizvěstnost / uncertainty:** The dictionary's general appearance sense is specialized here to token occurrence by the Open Logic locus. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary's general appearance sense is specialized here to token occurrence by the Open Logic locus. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘One token-position at which a particular symbol appears in a written formula or symbol string.’, should ‘pojavjenje simbola’ remain preferred over ‘pojava simbola’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0144 · logic.proper-prefix - **Revizija / recording:** `OLISV-T0144-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **proper prefix** — A prefix strictly shorter than the complete string, equivalently one whose concatenation with a non-empty suffix yields the string. - **Medžuslovjansky / Interslavic:** `strogy prefiks`; lemma `strogy prefiks`; Cyrillic `строгы префикс` - **Gramatika / use:** masculine noun phrase. Genitive strogogo prefiksa; strogy marks strict inclusion and must not be read as severity. - **Argumentacija / rationale:** The canonical mathematical strictness adjective blocks the competing everyday own sense of vlastny while the source definition supplies the exact shorter-prefix condition. - **Uvěrjenost / status:** 0.82 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-UNIQUE` · lines 113-129 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-UNIQUE` lines 113-129 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16395]; dictionary_id=12676 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13310]; dictionary_id=805 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13541]; dictionary_id=22480 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12327]; dictionary_id=1913 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/unique-readability.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 113, 114, 119, 202 - **Alternativy / alternatives:** `vlastny prefiks` — Vlastny is conventional for proper in several traditions but also directly means one's own, creating avoidable ambiguity for a receptive interlanguage readership. - **Neizvěstnost / uncertainty:** National specialist traditions often use cognates of vlastny/proper; the edition selects the less ambiguous strictness paraphrase. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National specialist traditions often use cognates of vlastny/proper; the edition selects the less ambiguous strictness paraphrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A prefix strictly shorter than the complete string, equivalently one whose concatenation with a non-empty suffix yields the string.’, should ‘strogy prefiks’ remain preferred over ‘vlastny prefiks’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0145 · proof.induction-basis - **Revizija / recording:** `OLISV-T0145-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **induction basis** — The base-constructor part of an induction proof, established before the preservation steps. - **Medžuslovjansky / Interslavic:** `baza indukcije`; lemma `baza indukcije`; Cyrillic `база индукције` - **Gramatika / use:** feminine noun phrase. Genitive bazy indukcije; use for the base cases of the proof, not for a vector-space basis. - **Argumentacija / rationale:** The international proof label is immediately recognizable and structurally converges across all six comparison traditions. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-UNIQUE` · lines 61-66 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-UNIQUE` lines 61-66 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1702]; dictionary_id=156 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1718]; dictionary_id=3449 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/unique-readability.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 64 - **Alternativy / alternatives:** `zaklad indukcije` — The native head is transparent and retained as an alternative, but the international phrase is more uniform across the source-facing specialist traditions. - **Neizvěstnost / uncertainty:** The frozen dictionary row for baza records a military-base sense; the proof-theoretic specialization is supported by the source and comparanda rather than that row alone. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary row for baza records a military-base sense; the proof-theoretic specialization is supported by the source and comparanda rather than that row alone. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The base-constructor part of an induction proof, established before the preservation steps.’, should ‘baza indukcije’ remain preferred over ‘zaklad indukcije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0146 · proof.induction-hypothesis - **Revizija / recording:** `OLISV-T0146-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **induction hypothesis** — The temporary assumption that the property holds for already constructed immediate components in an induction step. - **Medžuslovjansky / Interslavic:** `indukcijsko prědpoloženje`; lemma `indukcijsko prědpoloženje`; Cyrillic `индукцијско прєдположење` - **Gramatika / use:** neuter noun phrase. Genitive indukcijskogo prědpoloženja; instrumental indukcijskym prědpoloženjem; distinguish the proof assumption from an unproved research conjecture. - **Argumentacija / rationale:** The supposition head directly bridges East, Czech, BCS, and Bulgarian terminology and makes the operational assumption sense explicit. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-UNIQUE` · lines 91-109 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-UNIQUE` lines 91-109 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16643]; dictionary_id=11247 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[8801]; dictionary_id=19517 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/unique-readability.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `indukcijska hipoteza` — The international alternative is highly recognizable but can also denote a conjecture; it remains a documented searchable synonym. - **Neizvěstnost / uncertainty:** Polish and some textbooks prefer a hypothesis/assumption adjective phrase rather than a supposition noun. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish and some textbooks prefer a hypothesis/assumption adjective phrase rather than a supposition noun. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The temporary assumption that the property holds for already constructed immediate components in an induction step.’, should ‘indukcijsko prědpoloženje’ remain preferred over ‘indukcijska hipoteza’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0147 · logic.subformula - **Revizija / recording:** `OLISV-T0147-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **subformula** — A formula occurring as a component of a larger formula, including the formula itself under the source's reflexive convention. - **Medžuslovjansky / Interslavic:** `podformula`; lemma `podformula`; Cyrillic `подформула` - **Gramatika / use:** feminine noun. Genitive podformuly; use the same head for a formula contained in another formula and for the reflexive convention stated by the source. - **Argumentacija / rationale:** Podformula is a transparent pod- compound over the canonical formula head. It preserves the source's technical distinction from a general symbol-string substring while remaining readable across the six comparison traditions. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SUBFORMULAS` · lines 14-17 and 65-68 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SUBFORMULAS` lines 14-17 and 65-68 (RESOLVED); `OL-FOL-SUBFORMULAS` lines 14-17 and 65-68 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7255]; dictionary_id=5181 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/subformulas.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 16 - **Alternativy / alternatives:** `podniz formula` — Podniz is already used for a contiguous substring of a symbol string; importing it here would blur the source's formula-level containment relation. - **Neizvěstnost / uncertainty:** The frozen dictionary has no direct specialist podformula head; the term is a compositional edition choice.; National traditions vary between podformula and podstruka/podłańcuch-like compounds; the source fixes the formula-level sense.; No official or native certification is claimed for the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary has no direct specialist podformula head; the term is a compositional edition choice. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National traditions vary between podformula and podstruka/podłańcuch-like compounds; the source fixes the formula-level sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formula occurring as a component of a larger formula, including the formula itself under the source's reflexive convention.’, should ‘podformula’ remain preferred over ‘podniz formula’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0148 · logic.immediate-subformula - **Revizija / recording:** `OLISV-T0148-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **immediate subformula** — A subformula supplied directly by the outermost constructor of a formula, before recursively including smaller subformulas. - **Medžuslovjansky / Interslavic:** `bezposrědnja podformula`; lemma `bezposrědnja podformula`; Cyrillic `безпосрєдња подформула` - **Gramatika / use:** feminine noun phrase. Genitive bezposrědnej podformuly; the soft adjective agrees with feminine podformula and distinguishes the immediate relation from the proper-subformula closure. - **Argumentacija / rationale:** Bezposrědnja is directly recorded with the senses direct and immediate, and podformula reuses the new specialist head. The compound therefore distinguishes the one-step constructor relation without claiming a dictionary-certified specialist head. - **Uvěrjenost / status:** 0.82 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SUBFORMULAS` · lines 20-38 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SUBFORMULAS` lines 20-38 (RESOLVED); `OL-FOL-SUBFORMULAS` lines 20-38 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[5262]; dictionary_id=1792 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[5263]; dictionary_id=5798 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/subformulas.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `neposrědnja podformula` — The near-synonym neposrědnja is also dictionary-backed, but bezposrědnja is the better cross-Slavic bridge for the source's immediate/direct contrast and aligns with accepted edition usage. - **Neizvěstnost / uncertainty:** The complete compound is editorial; the dictionary row certifies the adjective, not a native specialist term.; Bezposrědnje can also mean directly; the surrounding definition and the explicit proper-subformula contrast fix the technical sense.; No official or native certification is claimed for the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound is editorial; the dictionary row certifies the adjective, not a native specialist term. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Bezposrědnje can also mean directly; the surrounding definition and the explicit proper-subformula contrast fix the technical sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A subformula supplied directly by the outermost constructor of a formula, before recursively including smaller subformulas.’, should ‘bezposrědnja podformula’ remain preferred over ‘neposrědnja podformula’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0149 · logic.proper-subformula - **Revizija / recording:** `OLISV-T0149-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **proper subformula** — A subformula of a formula that is not identical to the formula itself; recursively, it includes all proper subformulas of the immediate components. - **Medžuslovjansky / Interslavic:** `stroga podformula`; lemma `stroga podformula`; Cyrillic `строга подформула` - **Gramatika / use:** feminine noun phrase. Genitive stroge podformuly; the strictness adjective agrees with feminine podformula and reuses the canonical mathematical sense selected for proper prefix. - **Argumentacija / rationale:** Stroga reuses the canon's strict-inclusion adjective from proper prefix, making the exclusion of the whole formula explicit and avoiding the everyday own-sense ambiguity of vlastna. The source's recursive clauses supply the exact formal boundary. - **Uvěrjenost / status:** 0.82 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SUBFORMULAS` · lines 41-68 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SUBFORMULAS` lines 41-68 (RESOLVED); `OL-FOL-SUBFORMULAS` lines 41-68 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16395]; dictionary_id=12676 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13310]; dictionary_id=805 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13541]; dictionary_id=22480 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12327]; dictionary_id=1913 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/subformulas.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `vlastna podformula` — Vlastna is familiar as a translation of proper in several national traditions, but it can also mean one's own; stroga keeps the strict-subset relation transparent and consistent with the existing canon. - **Neizvěstnost / uncertainty:** The complete compound is an edition-level specialist selection rather than a direct dictionary headword.; Some national textbooks prefer vlastna/sobstvena-type adjectives; that variation remains visible in the comparanda and rejection record.; No official or native certification is claimed for the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound is an edition-level specialist selection rather than a direct dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Some national textbooks prefer vlastna/sobstvena-type adjectives; that variation remains visible in the comparanda and rejection record. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A subformula of a formula that is not identical to the formula itself; recursively, it includes all proper subformulas of the immediate components.’, should ‘stroga podformula’ remain preferred over ‘vlastna podformula’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0150 · logic.formation-sequence - **Revizija / recording:** `OLISV-T0150-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **formation sequence** — A finite ordered sequence of language strings ending in a target term or formula, with each member primitive or obtained from earlier members by an applicable formation clause. - **Medžuslovjansky / Interslavic:** `poslědovnost formovanja`; lemma `poslědovnost formovanja`; Cyrillic `послєдовност формовања` - **Gramatika / use:** feminine noun phrase. Genitive poslědovnosti formovanja; typed use forms are termova poslědovnost formovanja and formulova poslědovnost formovanja. - **Argumentacija / rationale:** Poslědovnost formovanja preserves the established wording of the accepted propositional-logic unit and transparently distinguishes an ordered derivational history from the canon's niz simbolov, which names a string rather than a sequence of construction stages. Formovanje is directly dictionary-backed and broadly recognizable across the comparison traditions. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMATION-SEQUENCES` · lines 11-18, 40-80, and 149-218 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMATION-SEQUENCES` lines 11-18, 40-80, and 149-218 (RESOLVED); `OL-PL-FORMATION-SEQUENCES` lines 11-23 and 98-144 (RESOLVED); `OL-PL-FORMATION-SEQUENCES-ISV` lines 11-23, 64-69, and 99-143 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7252]; dictionary_id=25511 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/formation-sequences.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 42, 56, 66, 92, 111, 116, 125, 128, 131, 134, 137, 140, 143, 146, 156, 158, 172, 177, 181, 218, 238, 239, 243, 244, 250; `edition/OpenLogic-isv/locale/isv/content/propositional-logic/syntax-and-semantics/formation-sequences.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 23, 44, 64, 69, 81, 84, 87, 90, 93, 103, 105, 115, 120, 124 - **Alternativy / alternatives:** `niz tvorjenja` — This compact alternative reuses two canonical components, but niz already names a symbol string in this edition and the alternative would silently rename a concept already used throughout the accepted propositional-logic formation-sequence unit.; `sekvencija formovanja` — The international head is recognizable, but it needlessly splits the established edition vocabulary and is less transparent than the accepted poslědovnost surface for many Slavic readers. - **Neizvěstnost / uncertainty:** The complete specialist compound is an edition-level selection rather than a direct dictionary headword.; National traditions divide between sequence/poslědovnost, ciąg/niz, and formation/construction/tvorba heads; the formal definition fixes the sense.; No official or native certification is claimed for the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete specialist compound is an edition-level selection rather than a direct dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National traditions divide between sequence/poslědovnost, ciąg/niz, and formation/construction/tvorba heads; the formal definition fixes the sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A finite ordered sequence of language strings ending in a target term or formula, with each member primitive or obtained from earlier members by an applicable formation clause.’, should ‘poslědovnost formovanja’ remain preferred over ‘niz tvorjenja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0151 · logic.minimal-formation-sequence - **Revizija / recording:** `OLISV-T0151-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **minimal formation sequence** — A formation sequence having the least possible length for its target formula or term; the minimizing sequence need not be unique. - **Medžuslovjansky / Interslavic:** `minimalna poslědovnost formovanja`; lemma `minimalna poslědovnost formovanja`; Cyrillic `минимална послєдовност формовања` - **Gramatika / use:** feminine noun phrase. Genitive minimalnoj poslědovnosti formovanja; do not imply uniqueness, because distinct minimizing orders may contain the same strings. - **Argumentacija / rationale:** Minimalna retains the source's formal minimization label, agrees with the feminine formation-sequence head, and is directly supported across all frozen comparison columns. The definition and following qualification preserve the distinction between least length and uniqueness. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMATION-SEQUENCES` · lines 231-251 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMATION-SEQUENCES` lines 231-251 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11107]; dictionary_id=2916 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7252]; dictionary_id=25511 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/formation-sequences.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 239, 244 - **Alternativy / alternatives:** `najkratša poslědovnost formovanja` — The paraphrase is extensionally close but replaces the source's named minimality notion and obscures continuity with standard mathematical minimal terminology. - **Neizvěstnost / uncertainty:** Multiple minimal sequences may exist; the head denotes minimal length, not a unique normal form.; The complete specialist compound is compositional rather than directly dictionary-attested.; No official or native certification is claimed for the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Multiple minimal sequences may exist; the head denotes minimal length, not a unique normal form. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The complete specialist compound is compositional rather than directly dictionary-attested. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formation sequence having the least possible length for its target formula or term; the minimizing sequence need not be unique.’, should ‘minimalna poslědovnost formovanja’ remain preferred over ‘najkratša poslědovnost formovanja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0152 · proof.strong-induction - **Revizija / recording:** `OLISV-T0152-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **strong induction** — Induction on a natural-number index whose step may use the claim for every strictly smaller index. - **Medžuslovjansky / Interslavic:** `silna indukcija`; lemma `silna indukcija`; Cyrillic `силна индукција` - **Gramatika / use:** feminine noun phrase. Genitive silnoj indukcije; in this unit the induction parameter is the final index of a formation sequence, not its ordinary length. - **Argumentacija / rationale:** Silna indukcija directly mirrors the source label and converges across the East-Slavic and Bulgarian comparanda while remaining transparent elsewhere. It also prevents confusion with strukturna indukcija, which the preceding proof applies to formula construction rather than to a numerical index. - **Uvěrjenost / status:** 0.84 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FORMATION-SEQUENCES` · lines 181-209 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FORMATION-SEQUENCES` lines 181-209 (RESOLVED); `OL-PL-FORMATION-SEQUENCES` lines 11-23 and 98-144 (RESOLVED); `OL-PL-FORMATION-SEQUENCES-ISV` lines 11-23, 64-69, and 99-143 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16423]; dictionary_id=1310 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/formation-sequences.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/propositional-logic/syntax-and-semantics/formation-sequences.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `polna indukcija` — This West-Slavic synonym family is recognizable, but it obscures the source's explicit strong label and risks collision with the canon's separate polnota terminology.; `strukturna indukcija` — That canonical term applies to induction over generated syntax; the present proof is numerical induction on the final sequence index. - **Neizvěstnost / uncertainty:** West-Slavic textbooks may prefer complete-induction terminology, while South-Slavic sources may use jaka rather than silna.; The source proof confuses final index and sequence length; the translation states the valid final-index induction explicitly.; No official or native certification is claimed for the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: West-Slavic textbooks may prefer complete-induction terminology, while South-Slavic sources may use jaka rather than silna. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The source proof confuses final index and sequence length; the translation states the valid final-index induction explicitly. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Induction on a natural-number index whose step may use the claim for every strictly smaller index.’, should ‘silna indukcija’ remain preferred over ‘polna indukcija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0153 · logic.free-variable-occurrence - **Revizija / recording:** `OLISV-T0153-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **free occurrence of a variable** — An occurrence of a variable in a formula that is not bound there by a quantifier occurrence; the status is relative to the containing formula. - **Medžuslovjansky / Interslavic:** `svobodno pojavjenje prěměnnoj`; lemma `svobodno pojavjenje prěměnnoj`; Cyrillic `свободно појавјење прємєнној` - **Gramatika / use:** neuter noun phrase. Genitive svobodnogo pojavjenja prěměnnoj. Svobodna prěměnna is permitted only as contextual shorthand; the formal property belongs to an occurrence relative to a containing formula. - **Argumentacija / rationale:** The occurrence-level head states the source's formal object exactly and composes three already established edition components. Svobodno continues the accepted OLP-0144 wording and is directly recognizable across East, West, and South Slavic comparison traditions. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FREE-VARS-SENTENCES` · lines 13-36, 67-92, and 95-98 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FREE-VARS-SENTENCES` lines 13-36, 67-92, and 95-98 (RESOLVED); `OL-FOL-INTRO-SENTENCES` lines 19-59 (RESOLVED); `OL-FOL-INTRO-SENTENCES-ISV` lines 19-59 (RESOLVED); `OL-FOL-INTRO-SEMANTIC-NOTIONS-ISV` lines 17-21 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7316]; dictionary_id=1977 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[965]; dictionary_id=10818 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[18234]; dictionary_id=35526 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/free-vars-sentences.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/sentences.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/semantic-notions.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `voljno pojavjenje prěměnnoj` — Voljno is broadly recognizable but more polysemous with voluntary, optional, or loose; it would also break the accepted svobodno wording without a semantic gain. - **Neizvěstnost / uncertainty:** National traditions differ in the adjective used for free, but the formal occurrence-relative definition removes ambiguity.; No native or official certification is claimed for the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National traditions differ in the adjective used for free, but the formal occurrence-relative definition removes ambiguity. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: No native or official certification is claimed for the complete specialist compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An occurrence of a variable in a formula that is not bound there by a quantifier occurrence; the status is relative to the containing formula.’, should ‘svobodno pojavjenje prěměnnoj’ remain preferred over ‘voljno pojavjenje prěměnnoj’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0154 · logic.bound-variable-occurrence - **Revizija / recording:** `OLISV-T0154-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **bound occurrence of a variable** — An occurrence of a variable in a formula that lies in the scope of a corresponding quantifier occurrence and is bound by it; the status is relative to the containing formula. - **Medžuslovjansky / Interslavic:** `svezano pojavjenje prěměnnoj`; lemma `svezano pojavjenje prěměnnoj`; Cyrillic `свезано појавјење прємєнној` - **Gramatika / use:** neuter noun phrase. Genitive svezanogo pojavjenja prěměnnoj. The etymological TeX reader displays svęzano pojavjenje; svęzana prěměnna is only contextual shorthand. - **Argumentacija / rationale:** The positive bound/free pair follows the accepted OLP-0144 wording and keeps the formal object at occurrence level. The standard-Latin machine head svezano normalizes the directly listed svęzany component; etymological display remains explicit in the use note and continuous reader. - **Uvěrjenost / status:** 0.82 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FREE-VARS-SENTENCES` · lines 38-65 and 67-92 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FREE-VARS-SENTENCES` lines 38-65 and 67-92 (RESOLVED); `OL-FOL-INTRO-SENTENCES` lines 19-59 (RESOLVED); `OL-FOL-INTRO-SENTENCES-ISV` lines 19-59 (RESOLVED); `OL-FOL-INTRO-SEMANTIC-NOTIONS-ISV` lines 17-21 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4013]; dictionary_id=3512 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[965]; dictionary_id=10818 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[18234]; dictionary_id=35526 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/free-vars-sentences.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/sentences.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/semantic-notions.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nesvezano pojavjenje prěměnnoj` — Unbound is useful pedagogical paraphrase but defines the free side negatively and does not name the source's positive bound category.; `obvezano pojavjenje prěměnnoj` — Obvezano risks the obligatory or mandatory sense and is not the accepted edition binding verb family. - **Neizvěstnost / uncertainty:** The dictionary adjective has the broader connected/related sense; Open Logic supplies the variable-binding restriction.; Standard-Latin svezano and etymological-display svęzano are two scripted surfaces of one edition head, not competing concepts.; No native or official certification is claimed for the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary adjective has the broader connected/related sense; Open Logic supplies the variable-binding restriction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Standard-Latin svezano and etymological-display svęzano are two scripted surfaces of one edition head, not competing concepts. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An occurrence of a variable in a formula that lies in the scope of a corresponding quantifier occurrence and is bound by it; the status is relative to the containing formula.’, should ‘svezano pojavjenje prěměnnoj’ remain preferred over ‘nesvezano pojavjenje prěměnnoj’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0155 · logic.quantifier-scope - **Revizija / recording:** `OLISV-T0155-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **scope of a quantifier occurrence** — The corresponding occurrence of the immediate subformula governed by a quantifier occurrence inside a containing formula. - **Medžuslovjansky / Interslavic:** `obseg kvantifikatora`; lemma `obseg kvantifikatora`; Cyrillic `обсег квантификатора` - **Gramatika / use:** masculine noun phrase. Genitive obsega kvantifikatora. The etymological TeX reader displays obsęg; oblast dějstvovanja remains an explanatory synonym, not a second canon head. - **Argumentacija / rationale:** Obseg is the standard-Latin machine form of the directly listed scope lemma obsęg and gives a concise head recognizable especially in West and South Slavic. The exact source definition prevents the broad dictionary senses coverage and perimeter from leaking into the logical term. - **Uvěrjenost / status:** 0.84 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-FREE-VARS-SENTENCES` · lines 48-65 and 67-92 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-FREE-VARS-SENTENCES` lines 48-65 and 67-92 (RESOLVED); `OL-FOL-INTRO-SENTENCES` lines 19-59 (RESOLVED); `OL-FOL-INTRO-SENTENCES-ISV` lines 19-59 (RESOLVED); `OL-FOL-INTRO-SEMANTIC-NOTIONS-ISV` lines 17-21 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14910]; dictionary_id=28929 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/free-vars-sentences.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/sentences.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/semantic-notions.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `oblast dějstvovanja kvantifikatora` — This established explanatory phrase is transparent and retained at first-use or pedagogical loci, but it is longer and less suitable as the repeated compact head than the directly listed scope lemma.; `sfera kvantifikatora` — The international noun is recognizable but remains a broad spatial metaphor and lacks the direct scope gloss carried by obsęg. - **Neizvěstnost / uncertainty:** The direct lemma is broad outside logic; the source locator supplies the formal governance sense.; Standard-Latin obseg and etymological-display obsęg are two surfaces of the same term.; No native or official certification is claimed for the complete specialist compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The direct lemma is broad outside logic; the source locator supplies the formal governance sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Standard-Latin obseg and etymological-display obsęg are two surfaces of the same term. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The corresponding occurrence of the immediate subformula governed by a quantifier occurrence inside a containing formula.’, should ‘obseg kvantifikatora’ remain preferred over ‘oblast dějstvovanja kvantifikatora’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0156 · logic.free-for-substitution - **Revizija / recording:** `OLISV-T0156-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **free for substitution** — A term t is admissible for substitution for x in A exactly when no free occurrence of x in A lies in the scope of a quantifier binding a variable that occurs in t. - **Medžuslovjansky / Interslavic:** `možno podstaviti vměsto`; lemma `možno podstaviti vměsto`; Cyrillic `можно подставити вмєсто` - **Gramatika / use:** invariable modal-infinitive predicate. The canonical token omits a copula: use Term t možno podstaviti vměsto x v A. In an existing copular frame, t jest možno podstaviti vměsto x is also permitted. The predicate remains invariant with masculine term and feminine prěměnna. - **Argumentacija / rationale:** The modal-infinitive predicate states admissibility without gender agreement and continues the accepted edition wording možno podstaviti ... vměsto. It avoids conflation with free-variable occurrence while preserving the exact capture-avoidance condition. - **Uvěrjenost / status:** 0.76 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-SUBSTITUTION` · lines 29-32, 45-48, and 100-113 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-SUBSTITUTION` lines 29-32, 45-48, and 100-113 (RESOLVED); `OL-FOL-INTRO-SUBSTITUTION` lines 23-39 (RESOLVED); `OL-FOL-INTRO-SUBSTITUTION-ISV` lines 23-39 (RESOLVED); `OL-FOL-INTRO-SUBSTITUTION-ISV` line 34 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13208]; dictionary_id=926 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/substitution.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 37, 121; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/substitution.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `svobodny za` — A literal calque is gendered and can be misread as the already canonical free-occurrence relation rather than substitution admissibility.; `dopustimy za podstanovku` — Semantically precise but gendered; it would require agreement changes across term and prěměnna contexts.; `podstavlivy` — A compact coinage with no attestation in the frozen dictionary or accepted edition. - **Neizvěstnost / uncertainty:** The frozen dictionary does not attest podstaviti or the complete predicate.; The full specialist expression is an edition-level selection, not native or official certification. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary does not attest podstaviti or the complete predicate. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The full specialist expression is an edition-level selection, not native or official certification. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A term t is admissible for substitution for x in A exactly when no free occurrence of x in A lies in the scope of a quantifier binding a variable that occurs in t.’, should ‘možno podstaviti vměsto’ remain preferred over ‘svobodny za’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0157 · logic.variable-capture - **Revizija / recording:** `OLISV-T0157-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **variable capture** — Unintended binding by a quantifier in A of a variable occurrence that was free in a term t before t was substituted into A. - **Medžuslovjansky / Interslavic:** `zahvat prěměnnoj`; lemma `zahvat prěměnnoj`; Cyrillic `захват прємєнној` - **Gramatika / use:** masculine noun phrase. Genitive zahvata prěměnnoj. Use zahvatiti or zahvaćati only when the unintended binding event is explicit; ordinary binding remains svezanje or svęzanje in reader prose. - **Argumentacija / rationale:** Zahvat gives the accidental binding phenomenon a distinct compact head and is directly supported as a take/capture component. Keeping svęzanje for ordinary binding preserves the source's distinction between legitimate scope and unintended capture. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-SUBSTITUTION` · lines 100-113 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-SUBSTITUTION` lines 100-113 (RESOLVED); `OL-FOL-INTRO-SUBSTITUTION` lines 23-39 (RESOLVED); `OL-FOL-INTRO-SUBSTITUTION-ISV` lines 23-39 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2910]; dictionary_id=571 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2911]; dictionary_id=2292 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2912]; dictionary_id=19363 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[18234]; dictionary_id=35526 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/substitution.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 103; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/substitution.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `svęzanje prěměnnoj` — This collapses accidental capture into ordinary variable binding and therefore loses the source's central warning.; `uhvaćenje prěměnnoj` — A possible South-Slavic-style capture nominal, but less continuous with the directly registered zahvatiti/zahvaćati/zahvat family. - **Neizvěstnost / uncertainty:** The capture family also has physical seizure or takeover senses outside logic.; West and South Slavic specialist traditions are lexically split.; No native or official certification is claimed for the complete compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The capture family also has physical seizure or takeover senses outside logic. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: West and South Slavic specialist traditions are lexically split. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Unintended binding by a quantifier in A of a variable occurrence that was free in a term t before t was substituted into A.’, should ‘zahvat prěměnnoj’ remain preferred over ‘svęzanje prěměnnoj’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0158 · logic.universal-instance - **Revizija / recording:** `OLISV-T0158-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **instance of a universally quantified formula** — The formula A(t), defined as the substitution result Subst(A,t,x) for an admissible term t, regarded as a syntactic instance of the universally quantified formula forall x A(x). - **Medžuslovjansky / Interslavic:** `podstanovny slučaj`; lemma `podstanovny slučaj`; Cyrillic `подстановны случај` - **Gramatika / use:** masculine noun phrase. Genitive podstanovnogo slučaja. Use only for the admissible substituted formula A(t), not for an arbitrary example or semantic model instance. - **Argumentacija / rationale:** Slučaj is directly glossed with case and instance across the frozen dictionary, while podstanovny restricts it to the source's precise syntactic construction. The compound is more transparent across Slavic readers than an unattested international loan. - **Uvěrjenost / status:** 0.64 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-SUBSTITUTION` · lines 116-124 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-SYN-SUBSTITUTION` lines 116-124 (RESOLVED); `OL-FOL-INTRO-SUBSTITUTION` lines 23-39 (RESOLVED); `OL-FOL-INTRO-SUBSTITUTION-ISV` lines 23-39 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[2999]; dictionary_id=1333 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/substitution.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 127; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/substitution.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `priměr` — Priměr names an example and does not assert the formal substitution relation to a universally quantified formula.; `slučaj` — Directly attested and retained as the head component, but too broad alone to identify the admissibly substituted A(t) construction.; `instancija` — Internationally recognizable in some national traditions but unattested in the frozen Interslavic dictionary and less transparent across all three Slavic zones. - **Neizvěstnost / uncertainty:** The frozen dictionary directly supports only generic slučaj, not podstanovny slučaj.; National traditions alternate between instance and particular-case terminology.; No native or official certification is claimed for the complete compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary directly supports only generic slučaj, not podstanovny slučaj. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National traditions alternate between instance and particular-case terminology. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The formula A(t), defined as the substitution result Subst(A,t,x) for an admissible term t, regarded as a syntactic instance of the universally quantified formula forall x A(x).’, should ‘podstanovny slučaj’ remain preferred over ‘priměr’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0159 · logic.truth-table - **Revizija / recording:** `OLISV-T0159-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **truth table** — A finite table recording the resulting truth value of a truth-functional connective or formula for every possible combination of input truth values. - **Medžuslovjansky / Interslavic:** `tabela istinnosti`; lemma `tabela istinnosti`; Cyrillic `табела истинности` - **Gramatika / use:** feminine noun phrase. Genitive singular tabely istinnosti; plural tabely istinnosti. Istinnosti remains a fixed genitive complement. - **Argumentacija / rationale:** Tabela is the data-table head directly selected by the frozen Interslavic dictionary. Istinnosti preserves the already canonical istina and istinnostno-funkcionalna family while avoiding the truth/justice ambiguity of pravda. The compound is transparent across Slavic readers and is explicitly bounded as an editorial specialist formation. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SYN-INTRO-SEMANTICS` · lines 28-30 · English Open Logic occurrence and semantic use boundary - **Evidence loci:** `OL-FOL-SYN-INTRO-SEMANTICS` lines 28-30 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16851], wordList[17697], wordList[13965], wordList[17696]; dictionary_id=12884,7935,5108,3159 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/intro-semantics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `tabela istiny` — Compositionally possible, but less conventional for a technical relation than the established istinnost- derivational family.; `tabela pravdy` — West-readable, but pravda carries the truth/justice ambiguity already avoided by the edition's canonical truth family.; `tablica istinnosti` — National support exists, but the frozen Interslavic dictionary directly selects tabela for a data table. - **Neizvěstnost / uncertainty:** The complete Interslavic compound is editorial rather than a direct dictionary lemma.; National traditions divide between istina-, istinnost-, pravda-, and pravdivost-family constructions.; No native or official certification is claimed for the complete phrase. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete Interslavic compound is editorial rather than a direct dictionary lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National traditions divide between istina-, istinnost-, pravda-, and pravdivost-family constructions. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A finite table recording the resulting truth value of a truth-functional connective or formula for every possible combination of input truth values.’, should ‘tabela istinnosti’ remain preferred over ‘tabela istiny’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0160 · number.integer - **Revizija / recording:** `OLISV-T0160-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **integer** — A positive or negative whole number, or zero; here used as an alternative domain for a structure for the language of arithmetic. - **Medžuslovjansky / Interslavic:** `cělo čislo`; lemma `cělo čislo`; Cyrillic `цєло число` - **Gramatika / use:** neuter noun phrase. Genitive singular cělogo čisla in grammatical prose; plural cěla čisla. The canonical head is the complete direct dictionary phrase. - **Argumentacija / rationale:** The frozen dictionary directly supplies the complete mathematical phrase and its six-language comparison columns; the source fixes the model-theoretic use as the domain of an arithmetic structure. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-STRUCTURES` · lines 67-73 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-STRUCTURES` lines 67-73 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9375]; dictionary_id=36585 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `cělostno čislo` — This unattested calque is unnecessary beside the direct complete dictionary lemma. - **Neizvěstnost / uncertainty:** Croatian and Serbian use the number rather than numeral head, as recorded in the direct dictionary row. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Croatian and Serbian use the number rather than numeral head, as recorded in the direct dictionary row. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A positive or negative whole number, or zero; here used as an alternative domain for a structure for the language of arithmetic.’, should ‘cělo čislo’ remain preferred over ‘cělostno čislo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0161 · set.hereditarily-finite - **Revizija / recording:** `OLISV-T0161-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **hereditarily finite set** — A set all of whose members, their members, and so on through the transitive membership ancestry are finite; the displayed HF structure is generated by iterated power sets from the empty set. - **Medžuslovjansky / Interslavic:** `naslědstveno konečno množstvo`; lemma `naslědstveno konečno množstvo`; Cyrillic `наслєдствено конечно множство` - **Gramatika / use:** neuter noun phrase. Naslědstveno is an invariant adverb modifying konečno; inflect konečny with the neuter head množstvo. Use the plural naslědstveno konečna množstva. - **Argumentacija / rationale:** The term composes the directly registered inheritance family and mathematical-set head with the already canonical finite-set family. Its structure tracks the dominant Russian and South-Slavic specialist phrase while remaining legible beside West-Slavic hereditary or inherited-root variants. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-STRUCTURES` · lines 84-95 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-STRUCTURES` lines 84-95 (RESOLVED); `OL-FOL-INTRO-MODELS-THEORIES` lines 56-68 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[8441]; dictionary_id=761 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6943]; dictionary_id=17676 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15156]; dictionary_id=36434 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `naslědno finitno množstvo` — Finitny in the frozen dictionary is restricted to finite verbs, while naslědno does not express closure through the complete membership ancestry as clearly.; `dědično konečno množstvo` — West-Slavic readers may find the dědič- family more immediate, but it is less transparent across East and South Slavic traditions than the directly registered naslěd- family. - **Neizvěstnost / uncertainty:** The complete Interslavic compound is editorial rather than a direct dictionary lemma.; Bulgarian commonly uses krajno rather than the konečny family for mathematical finiteness.; The short source gloss is sharpened by its displayed cumulative hierarchy rather than by a standalone prose definition. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete Interslavic compound is editorial rather than a direct dictionary lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Bulgarian commonly uses krajno rather than the konečny family for mathematical finiteness. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A set all of whose members, their members, and so on through the transitive membership ancestry are finite; the displayed HF structure is generated by iterated power sets from the empty set.’, should ‘naslědstveno konečno množstvo’ remain preferred over ‘naslědno finitno množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0162 · logic.existential-generalization - **Revizija / recording:** `OLISV-T0162-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **existential generalization** — The inference from A(a) to there exists x A(x), sound under the stated nonempty-domain and referring-name assumptions. - **Medžuslovjansky / Interslavic:** `eksistencialna generalizacija`; lemma `eksistencialna generalizacija`; Cyrillic `ексистенциална генерализација` - **Gramatika / use:** feminine noun phrase. Genitive singular eksistencialnoj generalizacije. Use the term only for the inference pattern, not for existential quantification generally. - **Argumentacija / rationale:** The international compound is nearly pan-Slavic and pairs a normalized standard-Latin existential adjective with the directly registered generalizacija head. The source supplies the exact inference and its semantic preconditions. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-STRUCTURES` · lines 97-109 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-STRUCTURES` lines 97-109 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6493]; dictionary_id=37680 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7564]; dictionary_id=35427 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 102, 105 - **Alternativy / alternatives:** `eksistencialno obobćenje` — The native generalization head is possible but less uniformly recognizable across the six specialist traditions than the international noun.; `egzistencijaľna generalizacija` — This follows the raw frozen adjective row but retains etymological soft-sign spelling and a less broadly normalized initial cluster for the public basic-Latin reader. - **Neizvěstnost / uncertainty:** The frozen adjective is recorded as egzistencijaľny; the preferred surface is a standard-Latin specialist normalization supported by comparison forms, not a direct dictionary spelling.; The inference is sound only under the semantic assumptions recorded by the source and entry sense. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen adjective is recorded as egzistencijaľny; the preferred surface is a standard-Latin specialist normalization supported by comparison forms, not a direct dictionary spelling. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The inference is sound only under the semantic assumptions recorded by the source and entry sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The inference from A(a) to there exists x A(x), sound under the stated nonempty-domain and referring-name assumptions.’, should ‘eksistencialna generalizacija’ remain preferred over ‘eksistencialno obobćenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0163 · logic.free-logic - **Revizija / recording:** `OLISV-T0163-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **free logic** — A logical system in which singular terms need not denote an object in the quantifier domain and existential generalization therefore requires an existence premise. - **Medžuslovjansky / Interslavic:** `svobodna logika`; lemma `svobodna logika`; Cyrillic `свободна логика` - **Gramatika / use:** feminine noun phrase. Genitive singular svobodnoj logiky. Keep the source's technical non-denoting-term sense distinct from informal freedom or permissiveness. - **Argumentacija / rationale:** Svobodny is directly registered with complete six-language coverage, and the feminine agreement yields the conventional international specialist compound used throughout East and South Slavic traditions and transparently related to West-Slavic equivalents. - **Uvěrjenost / status:** 0.84 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-STRUCTURES` · lines 103-109 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-STRUCTURES` lines 103-109 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7316]; dictionary_id=1977 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `voljna logika` — Voljny is possible in ordinary free or voluntary senses but is less continuous with the dominant specialist term and can suggest volition. - **Neizvěstnost / uncertainty:** The complete specialist compound is compositionally rather than directly attested in the frozen dictionary. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete specialist compound is compositionally rather than directly attested in the frozen dictionary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logical system in which singular terms need not denote an object in the quantifier domain and existential generalization therefore requires an existence premise.’, should ‘svobodna logika’ remain preferred over ‘voljna logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0164 · logic.premise - **Revizija / recording:** `OLISV-T0164-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **premise** — A proposition or formula used as an input to an inference; here the extra existence claim required for existential generalization in free logic. - **Medžuslovjansky / Interslavic:** `premisa`; lemma `premisa`; Cyrillic `премиса` - **Gramatika / use:** feminine noun. Genitive singular premisy; plural premisy. Reserve prědpoklad for an assumption when the inferential premise role is not intended. - **Argumentacija / rationale:** Premisa supplies a compact specialist head that is directly conventional in Czech and BCS and internationally transparent elsewhere. It avoids the false friend posylka, whose frozen dictionary sense is only a parcel, while distinguishing an inference input from a generic assumption. - **Uvěrjenost / status:** 0.66 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-STRUCTURES` · lines 105-109 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-STRUCTURES` lines 105-109 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12354], wordList[1270], wordList[16643]; dictionary_id=5751,5324,11247 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `posylka` — The Russian logical cognate is a false friend in the frozen Interslavic dictionary, where posylka means only a package or parcel.; `prědpoklad` — Directly attested for assumption, but broader than the inferential input role and less compactly conventional in the source construction. - **Neizvěstnost / uncertainty:** Premisa is an edition-level specialist adoption rather than a frozen-dictionary headword.; Russian, Ukrainian, Polish, and Bulgarian traditions prefer different native heads. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Premisa is an edition-level specialist adoption rather than a frozen-dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Russian, Ukrainian, Polish, and Bulgarian traditions prefer different native heads. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A proposition or formula used as an input to an inference; here the extra existence claim required for existential generalization in free logic.’, should ‘premisa’ remain preferred over ‘posylka’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0165 · semantics.denote - **Revizija / recording:** `OLISV-T0165-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **denote; refer to** — For a constant or singular term to have a specified object as its semantic value in a structure; free logic may permit a name not to denote any domain object. - **Medžuslovjansky / Interslavic:** `označati`; lemma `označati`; Cyrillic `означати` - **Gramatika / use:** transitive imperfective verb. Use označati objekt for the ongoing or generic semantic relation; context must distinguish denote from appoint, designate, or imply. The corresponding perfective selection is not fixed here. - **Argumentacija / rationale:** The frozen dictionary directly glosses označati with denote and provides comparison columns across the six traditions. The source fixes the model-theoretic sense and contrasts denoting a domain object with failure to refer. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-STRUCTURES` · lines 11-25 and 101-109 · English Open Logic occurrence and formal sense boundary - **Evidence loci:** `OL-FOL-STRUCTURES` lines 11-25 and 101-109 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[996]; dictionary_id=1069 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/structures.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 101 - **Alternativy / alternatives:** `navęzyvati na` — The frozen refer family is oriented toward citation or reference-to material and is less exact for a term's semantic value. - **Neizvěstnost / uncertainty:** The direct lemma is polysemous outside model theory; formal context supplies the denotation boundary. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The direct lemma is polysemous outside model theory; formal context supplies the denotation boundary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘For a constant or singular term to have a specified object as its semantic value in a structure; free logic may permit a name not to denote any domain object.’, should ‘označati’ remain preferred over ‘navęzyvati na’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0166 · model-theory.covered-structure - **Revizija / recording:** `OLISV-T0166-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **covered structure** — A structure in which every element of the domain is the semantic value of some closed term. - **Medžuslovjansky / Interslavic:** `pokryta struktura`; lemma `pokryta struktura`; Cyrillic `покрыта структура` - **Gramatika / use:** feminine noun phrase. The resultative participle agrees with struktura: nominative singular pokryta struktura, masculine model pokryty, and non-masculine plural pokryte struktury. - **Argumentacija / rationale:** Pokryta struktura preserves the source label and states the defined extensional condition as a completed property. The frozen dictionary provides both aspectual cover verbs and the structure head across East, West, and South Slavic columns; the source supplies the exact model-theoretic sense and agreement contexts. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-COVERED-STRUCTURES` · title line 11; definition lines 31-34; exercise lines 68-70 · English Open Logic occurrence, exact formal definition, and repeated use - **Evidence loci:** `OL-FOL-COVERED-STRUCTURES` title line 11; definition lines 31-34; exercise lines 68-70 (RESOLVED); `ISV-ORTHOGRAPHY` standard-alphabet and Cyrillic sections (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4342], wordList[4343], wordList[16426]; dictionary_id=158,1769,16363 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/covered-structures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `struktura pokryta značenjami zamknutyh termov` — Semantically exact as an explanatory definition but too long and syntactically marked for the stable headword.; `struktura generovana zamknutymi termami` — Changes the source label and risks conflation with generated-substructure terminology.; `pokryvana struktura` — The imperfective participle suggests an ongoing process rather than the defined extensional state. - **Neizvěstnost / uncertainty:** The complete specialist phrase and resultative participle are editorial formations rather than direct frozen-dictionary headwords.; The English notion is signature-dependent: coverage is determined by which constants and functions generate closed terms. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete specialist phrase and resultative participle are editorial formations rather than direct frozen-dictionary headwords. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The English notion is signature-dependent: coverage is determined by which constants and functions generate closed terms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A structure in which every element of the domain is the semantic value of some closed term.’, should ‘pokryta struktura’ remain preferred over ‘struktura pokryta značenjami zamknutyh termov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0167 · logic.x-variant-assignment - **Revizija / recording:** `OLISV-T0167-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **x-variant of a variable assignment** — A variable assignment that agrees with a given assignment on every variable except that it may assign a different domain element to the distinguished variable x. - **Medžuslovjansky / Interslavic:** `x-variant prisvajanja`; lemma `x-variant prisvajanja`; Cyrillic `кс-вариант присвајања` - **Gramatika / use:** masculine noun phrase. Variant is masculine: nominative x-variant, instrumental x-variantom. Prisvajanja is a genitive complement. In the Latin head x remains the mathematical symbol; the definition states that the possibly changed value is assigned to x. - **Argumentacija / rationale:** X-variant prisvajanja keeps the source's compact, standard model-theoretic label, composes it with the already established OLISV-T0073 variable-assignment term, and uses the directly frozen masculine lemma variant. The definition makes the direction explicit: the possibly different domain value is assigned to x, while all other variable values remain unchanged. - **Uvěrjenost / status:** 0.8 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SATISFACTION` · definition and explanation lines 74-99 · English Open Logic definition, self-variant boundary, update notation, and assignment direction - **Evidence loci:** `OL-FOL-SATISFACTION` definition and explanation lines 74-99 (RESOLVED); `OL-FOL-INTRO-SEMANTIC-NOTIONS` lines 13-27 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1008-1009], wordList[1014], wordList[18234-18235]; dictionary_id=22021,22022,36496,35526,17059 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/satisfaction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/semantic-notions.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `x-varianta prisvajanja` — West and South Slavic comparison columns often use a feminine cognate, but the frozen Interslavic dictionary head variant is explicitly masculine; promoting varianta would contradict that direct local evidence.; `prisvajanje različajuće se po x` — Transparent as explanatory prose but too long for the repeated technical head and less exact about agreement on every other variable; the full definition already provides this explanation.; `x-modifikacija prisvajanja` — Replaces the source's variant relation with an unsupported modification noun and obscures that the original assignment itself counts as an x-variant. - **Neizvěstnost / uncertainty:** The complete specialist phrase is an edition-level compound rather than a directly listed frozen-dictionary headword.; National comparison traditions differ in the gender and syntax of the variant component; those forms are editorial comparanda, not native certification.; The pinned official Cyrillic projection renders Latin x as кс; mathematical formulas themselves continue to preserve the TeX variable x. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete specialist phrase is an edition-level compound rather than a directly listed frozen-dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National comparison traditions differ in the gender and syntax of the variant component; those forms are editorial comparanda, not native certification. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A variable assignment that agrees with a given assignment on every variable except that it may assign a different domain element to the distinguished variable x.’, should ‘x-variant prisvajanja’ remain preferred over ‘x-varianta prisvajanja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0168 · logic.propositional-valuation - **Revizija / recording:** `OLISV-T0168-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **propositional valuation** — A function that assigns a truth value to every propositional variable and thereby determines the truth values of formulas. - **Medžuslovjansky / Interslavic:** `ocěnka`; lemma `ocěnka`; Cyrillic `оцєнка` - **Gramatika / use:** feminine noun. Genitive singular and nominative plural ocěnky. On first use, the technical sense may be expanded as ocěnka propozicijskih prěměnnyh. Keep funkcija vrednovanja for the recursively extended evaluation function, not for the initial valuation itself. - **Argumentacija / rationale:** Ocěnka is selected because the pinned published dictionary directly lists that Interslavic lemma with valuation in its English sense inventory and exposes an unusually broad East, West, and South Slavic cognate pattern. The Open Logic definition restricts the polysemous general noun to the function assigning truth values to propositional variables. The edition keeps funkcija vrednovanja for the separate recursive extension from all formulas to truth values, preserving the source's distinction between valuation and evaluation. - **Uvěrjenost / status:** 0.84 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-PL-VALUATIONS` · lines 13-23 · English Open Logic definition and the boundary between the initial valuation and the recursively extended evaluation function - **Evidence loci:** `OL-PL-VALUATIONS` lines 13-23 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10768]; dictionary_id=29019; all comparison columns (RESOLVED); `ISV-GRAMMAR-ADJ` declension framework used by the edition (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/propositional-logic/syntax-and-semantics/valuations-sat.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `vrednovanje` — Recognizable in several South and West Slavic traditions, but in the current edition it already denotes the recursively extended evaluation function; using it for both levels would erase a source distinction.; `prisvajanje istinnyh cěnnostij` — Transparent but long, and prisvajanje is already the edition's canonical head for first-order variable assignment; the expansion remains available as an explanatory gloss rather than the recurring token.; `valuacija` — Internationally recognizable but lacks the selected candidate's direct pinned Interslavic dictionary attestation and its cross-family cognate support in this evidence set. - **Neizvěstnost / uncertainty:** The direct dictionary row is polysemous and does not independently certify specialist logical usage.; Polish, Czech, and parts of South Slavic specialist traditions may prefer derivatives of value or evaluation rather than the selected ocěn- family. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The direct dictionary row is polysemous and does not independently certify specialist logical usage. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Polish, Czech, and parts of South Slavic specialist traditions may prefer derivatives of value or evaluation rather than the selected ocěn- family. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A function that assigns a truth value to every propositional variable and thereby determines the truth values of formulas.’, should ‘ocěnka’ remain preferred over ‘vrednovanje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0169 · logic.expression-complexity - **Revizija / recording:** `OLISV-T0169-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **complexity of an expression** — The recursively determined structural complexity of a term or formula, used as the induction measure in proofs by construction. - **Medžuslovjansky / Interslavic:** `složenost izraza`; lemma `složenost izraza`; Cyrillic `сложеност израза` - **Gramatika / use:** feminine noun phrase. Use po složenosti terma and po složenosti formuly when the expression kind is explicit; složenost is the project running-text normalization of dictionary složenosť. - **Argumentacija / rationale:** Složenost is directly attested and broadly transparent across East, West, and South Slavic traditions; the genitive izraza makes the recursive syntactic sense explicit while allowing contextual terma and formuly in prose. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-ASSIGNMENTS` · lines 35-54 and 63-196 · term- and formula-complexity induction measures - **Evidence loci:** `OL-FOL-ASSIGNMENTS` lines 35-54 and 63-196 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3826], wordList[3828]; dictionary_id=6145,12336 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/assignments.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kompleksnost izraza` — The international stem is recognizable but less uniformly supported by the frozen dictionary row and can suggest a broader systems notion rather than the recursive construction measure. - **Neizvěstnost / uncertainty:** The dictionary head has broad ordinary senses in addition to the precise recursive logic sense.; The running edition suppresses the optional final soft marker found in the frozen dictionary surface složenosť. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary head has broad ordinary senses in addition to the precise recursive logic sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The running edition suppresses the optional final soft marker found in the frozen dictionary surface složenosť. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The recursively determined structural complexity of a term or formula, used as the induction measure in proofs by construction.’, should ‘složenost izraza’ remain preferred over ‘kompleksnost izraza’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0170 · proof.inductive-step - **Revizija / recording:** `OLISV-T0170-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **inductive step** — The part of an induction proof that derives the property for a constructed object from the induction hypotheses for its immediate components. - **Medžuslovjansky / Interslavic:** `indukcijski krok`; lemma `indukcijski krok`; Cyrillic `индукцијски крок` - **Gramatika / use:** masculine noun phrase. Genitive indukcijskogo kroka and locative v indukcijskom kroku. The adjective follows canonical indukcijsko prědpoloženje (OLISV-T0146). - **Argumentacija / rationale:** Krok maximizes West/East lexical transparency while the already canonical induction adjective family keeps this obligation visibly paired with indukcijsko prědpoloženje; South-Slavic korak and Bulgarian stăpka remain documented divergences. - **Uvěrjenost / status:** 0.79 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-ASSIGNMENTS` · lines 42-54 and 107-192 · term and formula induction steps - **Evidence loci:** `OL-FOL-ASSIGNMENTS` lines 42-54 and 107-192 (RESOLVED); `OL-FOL-UNIQUE` lines 91-109 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16261]; dictionary_id=852 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/assignments.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 110; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/unique-readability.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `indukcijny krok` — The productive -ijny form is intelligible, but indukcijski preserves the adjective family already frozen in OLISV-T0146 and aligns directly with BCS technical morphology. - **Neizvěstnost / uncertainty:** East and South Slavic traditions do not share the selected krok head uniformly.; Both indukcijski and indukcijny are morphologically transparent; the choice is an edition consistency policy. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: East and South Slavic traditions do not share the selected krok head uniformly. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Both indukcijski and indukcijny are morphologically transparent; the choice is an edition consistency policy. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The part of an induction proof that derives the property for a constructed object from the induction hypotheses for its immediate components.’, should ‘indukcijski krok’ remain preferred over ‘indukcijny krok’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0171 · model-theory.skolem-theorem - **Revizija / recording:** `OLISV-T0171-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Skolem's theorem** — The first-order Skolemization result used here: a formula of the form for every x there exists y A(x,y) is satisfiable exactly when an expansion with a fresh function symbol satisfies for every x A(x,f(x)). - **Medžuslovjansky / Interslavic:** `teorema Skolema`; lemma `teorema Skolema`; Cyrillic `теорема Сколема` - **Gramatika / use:** feminine proper-name noun phrase. Genitive teoremy Skolema. Keep the genitive surname construction aligned with teorema Lovenheima-Skolema (OLISV-T0088); do not conflate this specific Skolemization result with that different named theorem. - **Argumentacija / rationale:** The genitive surname construction is already established by OLISV-T0088 and is directly intelligible across the comparison traditions; the separate canon ID prevents accidental identification of Skolemization with the Löwenheim–Skolem theorem. - **Uvěrjenost / status:** 0.87 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-ASSIGNMENTS` · lines 342-350 · named theorem occurrence and exact equisatisfiability scope - **Evidence loci:** `OL-FOL-ASSIGNMENTS` lines 342-350 (RESOLVED); `OL-FOL-INTRO-MODELS-THEORIES` lines 63-68 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/assignments.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `Skolemova teorema` — The possessive adjective is grammatical and common in several traditions, but the genitive construction matches the edition's existing named-theorem policy and reduces competing surname paradigms. - **Neizvěstnost / uncertainty:** The label Skolem's theorem is used for several related results in the literature; the canon sense is restricted to the exact statement in the pinned Open Logic unit.; No frozen dictionary row directly attests the proper-name phrase. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The label Skolem's theorem is used for several related results in the literature; the canon sense is restricted to the exact statement in the pinned Open Logic unit. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: No frozen dictionary row directly attests the proper-name phrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The first-order Skolemization result used here: a formula of the form for every x there exists y A(x,y) is satisfiable exactly when an expansion with a fresh function symbol satisfies for every x A(x,f(x)).’, should ‘teorema Skolema’ remain preferred over ‘Skolemova teorema’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0172 · logic.skolem-normal-form - **Revizija / recording:** `OLISV-T0172-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Skolem normal form** — The Skolemized form used here, replacing an existentially quantified dependent variable by a fresh function term while preserving satisfiability through a possibly expanded structure. - **Medžuslovjansky / Interslavic:** `Skolemova normalna forma`; lemma `Skolemova normalna forma`; Cyrillic `Сколемова нормална форма` - **Gramatika / use:** feminine proper-name noun phrase. Instrumental Skolemovoju normalnoju formoju and genitive Skolemovoj normalnoj formy. Preserve the source's equisatisfiability scope: the structures may differ. - **Argumentacija / rationale:** The possessive Skolemova keeps the proper name visibly attached to the technical phrase, while normalna forma is maximally international and directly supported component by component. The definition records the source's expanded-structure and satisfiability boundary so the label does not imply same-structure equivalence. - **Uvěrjenost / status:** 0.85 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-ASSIGNMENTS` · lines 342-350 · term occurrence, source formula, and exact equisatisfiability boundary - **Evidence loci:** `OL-FOL-ASSIGNMENTS` lines 342-350 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7242], wordList[11797]; dictionary_id=2001,5260 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/assignments.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `normalna forma Skolema` — The genitive construction is grammatical and mirrors named theorems, but the possessive adjective more clearly modifies the entire form label and converges with Czech, BCS, Ukrainian, and Bulgarian patterns. - **Neizvěstnost / uncertainty:** The source uses the label for a single simple Skolemization pattern; broader textbooks may reserve Skolem normal form for a more completely normalized prenex formula.; Polish and Czech prefer different head nouns in specialist usage. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source uses the label for a single simple Skolemization pattern; broader textbooks may reserve Skolem normal form for a more completely normalized prenex formula. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Polish and Czech prefer different head nouns in specialist usage. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The Skolemized form used here, replacing an existentially quantified dependent variable by a fresh function term while preserving satisfiability through a possibly expanded structure.’, should ‘Skolemova normalna forma’ remain preferred over ‘normalna forma Skolema’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0173 · logic.extensionality - **Revizija / recording:** `OLISV-T0173-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **extensionality** — The semantic invariance principle that the satisfaction of a formula depends only on the common domain and on the interpretations and variable assignments for symbols and variables actually occurring in that formula. - **Medžuslovjansky / Interslavic:** `ekstensionalnost`; lemma `ekstensionalnost`; Cyrillic `екстенсионалност` - **Gramatika / use:** feminine abstract noun. Decline as a feminine consonant noun: genitive ekstensionalnosti; use ekstensionalny for the adjective. Relevantnost may explain the source synonym but is not the preferred technical head. - **Argumentacija / rationale:** Ekstensionalnost retains the internationally recognizable extens- technical family and follows the frozen Interslavic dictionary's s-normalization, reinforced by Russian, Ukrainian, and Polish specialist comparanda. Czech, BCS, and Bulgarian z-forms remain explicit adverse evidence. Open Logic supplies the exact semantic-invariance definition, preventing the internationalism from floating as an unexplained label. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-EXTENSIONALITY` · lines 14-36 and 51-58 · informal statement, formal proposition, and sentence corollary - **Evidence loci:** `OL-FOL-EXTENSIONALITY` lines 14-36 and 51-58 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6583], wordList[9397], wordList[1012], wordList[6582], wordList[18774]; dictionary_id=37683,36332,32794,3601,11873 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/extensionality.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 11, 14, 21, 28, 51 - **Alternativy / alternatives:** `ekstenzionalnost` — The z-form is strong in Czech, BCS, and Bulgarian and remains fully intelligible, but the pinned Interslavic dictionary normalizes the parallel extens- and intens- international roots with s, matching Russian, Ukrainian, and Polish specialist practice.; `relevantnost` — The source gives relevance as a secondary name, but outside this proposition it has broader pragmatic and proof-theoretic senses and therefore does not uniquely identify semantic extensionality.; `razširjenost` — A native extension-family calque suggests spatial widening or dissemination and does not transparently identify the model-theoretic invariance principle. - **Neizvěstnost / uncertainty:** No direct Interslavic dictionary lemma for logical extensionality was found in the pinned response.; Russian, Ukrainian, and Polish favor s, whereas Czech, BCS, and Bulgarian favor z; the selected s is an editorial project normalization, not a claim that the alternatives are wrong.; The source's informal phrase size of the domain conflicts with the formal same-domain premise and is translated as the domain itself; the unmodified source wording remains preserved as adverse evidence. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct Interslavic dictionary lemma for logical extensionality was found in the pinned response. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Russian, Ukrainian, and Polish favor s, whereas Czech, BCS, and Bulgarian favor z; the selected s is an editorial project normalization, not a claim that the alternatives are wrong. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The semantic invariance principle that the satisfaction of a formula depends only on the common domain and on the interpretations and variable assignments for symbols and variables actually occurring in that formula.’, should ‘ekstensionalnost’ remain preferred over ‘ekstenzionalnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0174 · logic.subterm - **Revizija / recording:** `OLISV-T0174-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **subterm** — A term occurring as a constituent within a term or formula whose semantic value contributes compositionally to the value or satisfaction of the containing expression. - **Medžuslovjansky / Interslavic:** `podterm`; lemma `podterm`; Cyrillic `подтерм` - **Gramatika / use:** masculine noun. Genitive plural podtermov. Reserve podizraz for the broader category that can also include subformulas. - **Argumentacija / rationale:** Podterm composes the already canonical formal-syntax term with the productive pod- relation and is transparent across the comparison languages. The narrow head avoids conflating a subterm with the broader category of subexpression or subformula. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-EXTENSIONALITY` · lines 61-63 and 116-137 · English occurrence and compositional semantic sense boundary - **Evidence loci:** `OL-FOL-EXTENSIONALITY` lines 61-63 and 116-137 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17056], wordList[17915], wordList[17919]; dictionary_id=2091,4933,737 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/extensionality.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 63 - **Alternativy / alternatives:** `podizraz` — Broader than the source: it can denote a subexpression or subformula rather than specifically a constituent term.; `subterm` — The unadapted Latin prefix is less immediately transparent across Slavic readers than the productive pod- compound. - **Neizvěstnost / uncertainty:** No direct Interslavic dictionary headword for the complete formal-logic compound was found in the pinned response.; The cross-Slavic surfaces are transparent editorial comparanda rather than a claim of uniform national-corpus preference. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct Interslavic dictionary headword for the complete formal-logic compound was found in the pinned response. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The cross-Slavic surfaces are transparent editorial comparanda rather than a claim of uniform national-corpus preference. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A term occurring as a constituent within a term or formula whose semantic value contributes compositionally to the value or satisfaction of the containing expression.’, should ‘podterm’ remain preferred over ‘podizraz’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0175 · proof.semantic-deduction-theorem - **Revizija / recording:** `OLISV-T0175-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **semantic deduction theorem** — The semantic equivalence between entailment of B from Gamma together with A and entailment of the conditional A implies B from Gamma alone. - **Medžuslovjansky / Interslavic:** `semantična teorema dedukcije`; lemma `semantična teorema dedukcije`; Cyrillic `семантична теорема дедукције` - **Gramatika / use:** feminine named-theorem noun phrase. Genitive semantičnoj teoremy dedukcije. Keep semantična explicit: the result concerns semantic entailment, not a derivability rule inside a proof calculus. - **Argumentacija / rationale:** Semantična teorema dedukcije transparently composes the already canonical semantic and deduction families and follows the edition's established feminine teorema naming policy. The explicit semantic modifier prevents confusion with the syntactic deduction theorem, while the dedicated canon ID pins the exact entailment biconditional. - **Uvěrjenost / status:** 0.92 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SEMANTIC-NOTIONS` · lines 105-121 · named theorem, biconditional statement, and semantic proof - **Evidence loci:** `OL-FOL-SEMANTIC-NOTIONS` lines 105-121 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15062], wordList[4819]; dictionary_id=35935,25162 (RESOLVED); `OL-FOL-INTRO-MODELS-THEORIES` lines 63-68 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/semantic-notions.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 118; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/models-theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `semantičny teorem dedukcije` — The masculine South-Slavic-facing variant is intelligible, but it conflicts with the edition's established feminine teorema construction for named mathematical results.; `dedukcijska teorema` — Without semantična this can denote a theorem internal to a deduction calculus and therefore erases the source's semantic/syntactic boundary.; `teorema semantičnogo slědovanja` — This describes the surrounding consequence relation but suppresses the recognized deduction-theorem identity and its bridge from an added premise to implication. - **Neizvěstnost / uncertainty:** No frozen Interslavic dictionary row directly attests the complete named theorem.; National traditions vary between theorem nouns and linking constructions; the selected phrase follows the edition's established naming policy. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No frozen Interslavic dictionary row directly attests the complete named theorem. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National traditions vary between theorem nouns and linking constructions; the selected phrase follows the edition's established naming policy. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The semantic equivalence between entailment of B from Gamma together with A and entailment of the conditional A implies B from Gamma alone.’, should ‘semantična teorema dedukcije’ remain preferred over ‘semantičny teorem dedukcije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0176 · proof.contraposition - **Revizija / recording:** `OLISV-T0176-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **contraposition** — The transformation or proof method that replaces an implication from A to B by the equivalent implication from not-B to not-A; in the source it proves the reverse direction through its contrapositive. - **Medžuslovjansky / Interslavic:** `kontrapozicija`; lemma `kontrapozicija`; Cyrillic `контрапозиција` - **Gramatika / use:** feminine abstract noun. Instrumental kontrapozicijoju; genitive kontrapozicije. Use for the implication transformation or proof method, not for dokaz od protivnogo and not for the converse implication. - **Argumentacija / rationale:** Kontrapozicija preserves the highly convergent international logical term across East, West, and South Slavic comparison languages. Its dedicated sense note distinguishes the implication transformation from both the converse and proof by contradiction, a distinction made locally by the two adjacent proof strategies in Open Logic. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-SEMANTIC-NOTIONS` · lines 54-58 · contrapositive proof step and exact inferential role - **Evidence loci:** `OL-FOL-SEMANTIC-NOTIONS` lines 54-58 and 67-73 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13187], wordList[4132], wordList[4136]; dictionary_id=1225,19795,4388 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/syntax-and-semantics/semantic-notions.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `dokaz od protivnogo` — Proof by contradiction assumes the negation of the desired result and derives inconsistency; it is explicitly a different method in the following proof and cannot replace contraposition.; `obratno tvrđenje` — The converse swaps antecedent and consequent without negating them and is not logically equivalent in general; it names a different transformation.; `kontrapozitiv` — This can name the resulting contrapositive conditional, whereas the source sentence and selected head denote the transformation or proof method. - **Neizvěstnost / uncertainty:** No frozen Interslavic dictionary row directly attests the complete formal-logic lemma.; Some pedagogical traditions use the related noun for the resulting conditional rather than the transformation; the canon sense is explicitly method-first. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No frozen Interslavic dictionary row directly attests the complete formal-logic lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Some pedagogical traditions use the related noun for the resulting conditional rather than the transformation; the canon sense is explicitly method-first. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The transformation or proof method that replaces an implication from A to B by the equivalent implication from not-B to not-A; in the source it proves the reverse direction through its contrapositive.’, should ‘kontrapozicija’ remain preferred over ‘dokaz od protivnogo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0177 · logic.semantic-consequence-closure - **Revizija / recording:** `OLISV-T0177-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **closure under semantic consequence** — For a sentence set Gamma, the set of every sentence semantically entailed by Gamma; Gamma is closed when it already contains every such consequence. - **Medžuslovjansky / Interslavic:** `zatvorjenje po semantičnom slědovanju`; lemma `zatvorjenje po semantičnom slědovanju`; Cyrillic `затворјење по семантичном слєдовању` - **Gramatika / use:** neuter noun phrase. Zatvorjenje is neuter; use genitive zatvorjenja. In nearby prose, zatvorjenje is permitted after the semantic consequence relation is explicit. - **Argumentacija / rationale:** The longer head makes the closure operator's governing relation explicit and reuses the edition's established zatvorjenje head from OLISV-T0045. The source definition fixes this as semantic, not proof-theoretic, closure; ordinary prose may shorten the term once that relation is visible. - **Uvěrjenost / status:** 0.76 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-INTRO` · lines 28-35 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-THEORIES-INTRO` lines 28-35 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3510]; dictionary_id=31523; lemma=zamknųty; gloss=closed (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `OL-REL-OPERATIONS` lines 50-57 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/operations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `zamknjenje po semantičnom slědovanju` — The zamk- family is strong in East and West Slavic, but the established edition closure head zatvorjenje is more transparent to South Slavic readers and avoids a needless canon split. - **Neizvěstnost / uncertainty:** No frozen dictionary row directly attests the full specialist phrase.; National traditions divide between zamyk-/domk-/uzávěr and zatvor- closure families. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No frozen dictionary row directly attests the full specialist phrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National traditions divide between zamyk-/domk-/uzávěr and zatvor- closure families. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘For a sentence set Gamma, the set of every sentence semantically entailed by Gamma; Gamma is closed when it already contains every such consequence.’, should ‘zatvorjenje po semantičnom slědovanju’ remain preferred over ‘zamknjenje po semantičnom slědovanju’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0178 · logic.axiomatization - **Revizija / recording:** `OLISV-T0178-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **axiomatization; axiomatized by** — Presentation of a theory as the semantic-consequence closure of a selected set of axioms. - **Medžuslovjansky / Interslavic:** `aksiomatizacija`; lemma `aksiomatizacija`; Cyrillic `аксиоматизација` - **Gramatika / use:** feminine noun. Decline as a regular feminine -acija noun; the passive verbal surface is aksiomatizovany, with neuter aksiomatizovano for množstvo. - **Argumentacija / rationale:** Aksiomatizacija is directly listed, pan-Slavically transparent, and exactly names the operation described by the source. The translation uses the agreeing passive aksiomatizovano where the grammatical head is neuter množstvo. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-INTRO` · lines 28-44 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-THEORIES-INTRO` lines 28-44 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1501]; dictionary_id=37794; lemma=aksiomatizacija; gloss=axiomatization (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1498-1500]; dictionary_id=24180,37533,37534; lemma=aksioma,aksiomatičny,aksiomatika (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `aksiomovanje` — A native-looking deverbal noun is possible, but the frozen dictionary directly supplies aksiomatizacija across all comparison columns and therefore gives the stronger reproducible choice. - **Neizvěstnost / uncertainty:** The dictionary attests the noun, while the exact agreeing passive surface in prose is a regular derivation rather than a separate listed headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary attests the noun, while the exact agreeing passive surface in prose is a regular derivation rather than a separate listed headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Presentation of a theory as the semantic-consequence closure of a selected set of axioms.’, should ‘aksiomatizacija’ remain preferred over ‘aksiomovanje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0179 · proof.axiom-independence - **Revizija / recording:** `OLISV-T0179-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **independence of axioms** — The property that no axiom in a system is semantically entailed by the remaining axioms; non-entailment may be witnessed by a model of the others plus its negation. - **Medžuslovjansky / Interslavic:** `nezavisnost aksiom`; lemma `nezavisnost aksiom`; Cyrillic `независност аксиом` - **Gramatika / use:** feminine noun phrase. Nezavisnost is a feminine consonant noun; use genitive nezavisnosti. Aksiom is genitive plural in the fixed phrase. - **Argumentacija / rationale:** Nezavisnost aksiom combines two directly frozen and broadly recognizable components, while Open Logic supplies the exact model-theoretic witness condition. It also avoids confusing independence with the stronger political sense sometimes carried by nezaležnost. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-INTRO` · lines 78-85 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-THEORIES-INTRO` lines 78-85 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9140,9143]; dictionary_id=17957,17958; lemma=nezavisnosť,nezavisny; gloss=independence,independent (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1498]; dictionary_id=24180; lemma=aksioma; gloss=axiom (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 81 - **Alternativy / alternatives:** `nezaležnost aksiom` — Nezaležnost is a listed synonym and is strong in Ukrainian and Polish, but nezavisnost aligns directly with Russian, Czech/Slovak cognates, BCS, Macedonian, and Bulgarian while avoiding political-independence overtones. - **Neizvěstnost / uncertainty:** The complete technical compound is assembled editorially even though both components are directly attested. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete technical compound is assembled editorially even though both components are directly attested. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The property that no axiom in a system is semantically entailed by the remaining axioms; non-entailment may be witnessed by a model of the others plus its negation.’, should ‘nezavisnost aksiom’ remain preferred over ‘nezaležnost aksiom’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0180 · proof.redundant-axiom - **Revizija / recording:** `OLISV-T0180-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **redundant axiom** — An axiom that is already a semantic consequence of the other axioms in the system and can therefore be removed without changing semantic closure. - **Medžuslovjansky / Interslavic:** `izlišnja aksioma`; lemma `izlišnja aksioma`; Cyrillic `излишња аксиома` - **Gramatika / use:** feminine noun phrase. The feminine adjective izlišnja agrees with aksioma; use genitive izlišnjoj aksiomy and plural izlišnje aksiomy. - **Argumentacija / rationale:** Izlišnja aksioma uses the frozen adjective that explicitly includes redundant in its gloss and is especially transparent to South Slavic and Bulgarian readers. Open Logic's formula supplies the formal meaning and prevents the ordinary adjective from remaining vague. - **Uvěrjenost / status:** 0.83 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-INTRO` · lines 78-85 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-THEORIES-INTRO` lines 78-85 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16607]; dictionary_id=27228; lemma=izlišnji, izlišny; gloss=superfluous, redundant, excess (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1498]; dictionary_id=24180; lemma=aksioma; gloss=axiom (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `izbytočna aksioma` — The izbyt- family is strong in Russian and West Slavic, but the separately frozen izlišny row directly includes redundant, reaches South Slavic and Bulgarian more transparently, and is selected for the edition. - **Neizvěstnost / uncertainty:** National terminology divides between izbyt-/nadbyt- and izliš-/suviš- adjective families. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National terminology divides between izbyt-/nadbyt- and izliš-/suviš- adjective families. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An axiom that is already a semantic consequence of the other axioms in the system and can therefore be removed without changing semantic closure.’, should ‘izlišnja aksioma’ remain preferred over ‘izbytočna aksioma’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0181 · model-theory.definability - **Revizija / recording:** `OLISV-T0181-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **definability** — The possibility of defining one concept or relation in terms of other primitives of a theory, so it need not receive a separate interpretation in each model. - **Medžuslovjansky / Interslavic:** `definovateljnost`; lemma `definovateljnost`; Cyrillic `дефиноватељност` - **Gramatika / use:** feminine abstract noun. Decline as a feminine consonant noun: genitive definovateljnosti. The corresponding adjective is definovateljny. - **Argumentacija / rationale:** Definovateljnost keeps the directly attested defin- international root and selects a -telj- ability formation that is transparent in Polish, Czech, Slovak, and South Slavic traditions. The source explanation ties the noun to elimination of a separately interpreted primitive, making the specialist sense explicit. - **Uvěrjenost / status:** 0.71 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-INTRO` · lines 86-96 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-THEORIES-INTRO` lines 86-96 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4855,4862]; dictionary_id=4956,2624; lemma=definiovati,definicija; gloss=define,definition (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[5319]; dictionary_id=36455; lemma=råzpoznavajemosť; gloss=discernibility, recognizability (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 89 - **Alternativy / alternatives:** `definovajemosť` — The -jemosť pattern is productive and more directly analogous to a frozen dictionary row, but definovateljnost better bridges Polish definiowalność, Czech/Slovak definovatelnost, and South Slavic -ljiv/-abil- traditions while remaining transparent to East Slavic readers. - **Neizvěstnost / uncertainty:** No frozen Interslavic dictionary row directly attests definovateljnost.; The selected derivation is an editorial pan-Slavic compromise among several productive national formations. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No frozen Interslavic dictionary row directly attests definovateljnost. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The selected derivation is an editorial pan-Slavic compromise among several productive national formations. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The possibility of defining one concept or relation in terms of other primitives of a theory, so it need not receive a separate interpretation in each model.’, should ‘definovateljnost’ remain preferred over ‘definovajemosť’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0182 · logic.parallel-postulate - **Revizija / recording:** `OLISV-T0182-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **parallel postulate** — The geometric postulate used as the source's standard example of an axiom independent of the remaining axioms of a theory. - **Medžuslovjansky / Interslavic:** `paralelny postulat`; lemma `paralelny postulat`; Cyrillic `паралелны постулат` - **Gramatika / use:** masculine noun phrase. Postulat is masculine; paralelny agrees regularly. Use genitive paralelnogo postulata. - **Argumentacija / rationale:** Paralelny postulat combines two directly frozen international components and maximizes recognition in East and South Slavic languages. Polish and Czech native parallel-family forms remain visible adverse evidence rather than being silently normalized away. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-INTRO` · lines 78-85 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-THEORIES-INTRO` lines 78-85 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13219]; dictionary_id=36464; lemma=postulat; gloss=postulate (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12435-12437]; dictionary_id=23205,23206,23207; lemma=råvnoběžny,paralela,paraleľny; gloss=parallel (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 87 - **Alternativy / alternatives:** `råvnoběžny postulat` — Råvnoběžny is directly listed and especially transparent in Polish and Czech, but the international paralel- family has broader direct reach in Russian, Ukrainian, South Slavic, Macedonian, and Bulgarian. - **Neizvěstnost / uncertainty:** Polish and Czech favor native parallel-family terminology even though the international selected phrase remains transparent. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish and Czech favor native parallel-family terminology even though the international selected phrase remains transparent. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The geometric postulate used as the source's standard example of an axiom independent of the remaining axioms of a theory.’, should ‘paralelny postulat’ remain preferred over ‘råvnoběžny postulat’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0183 · model-theory.intended-structure - **Revizija / recording:** `OLISV-T0183-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **intended structure** — A structure belonging to the class that an axiomatic theory is meant to describe, contrasted with unintended structures that also satisfy its axioms. - **Medžuslovjansky / Interslavic:** `naměrjena struktura`; lemma `naměrjena struktura`; Cyrillic `намєрјена структура` - **Gramatika / use:** feminine noun phrase. The passive adjective naměrjena agrees with feminine struktura; use plural naměrjene struktury and locative plural v naměrjenyh strukturah. - **Argumentacija / rationale:** Naměrjena struktura makes the theory's descriptive intent explicit and is reconstructible from directly frozen intent, negative-participle, and structure evidence. It avoids zamysljena, whose direct dictionary head primarily means pensive or thoughtful, while remaining transparent to South and West Slavic readers. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-INTRO` · lines 53-77 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-THEORIES-INTRO` lines 53-77 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9400,9404]; dictionary_id=9402,36965; lemma=naměr,naměrny; gloss=intention/plan,intentional/intended (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[18006]; dictionary_id=32623; lemma=nenaměrny, nenaměrjeny; gloss=unintentional, unintended (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16426]; dictionary_id=16363; lemma=struktura; gloss=structure (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `zamysljena struktura` — The phrase is readily understood in several Slavic languages, but the frozen positive adjective zamysljeny is glossed primarily as pensive or thoughtful; naměrjena better isolates the intended-as-designed sense needed here. - **Neizvěstnost / uncertainty:** No frozen row directly attests the positive full specialist phrase naměrjena struktura.; National model-theory traditions vary between intended, presumed, envisaged, and designated semantic nuances. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No frozen row directly attests the positive full specialist phrase naměrjena struktura. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National model-theory traditions vary between intended, presumed, envisaged, and designated semantic nuances. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A structure belonging to the class that an axiomatic theory is meant to describe, contrasted with unintended structures that also satisfy its axioms.’, should ‘naměrjena struktura’ remain preferred over ‘zamysljena struktura’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0184 · number.natural - **Revizija / recording:** `OLISV-T0184-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **natural number** — A member of the standard set of natural numbers denoted by Nat; distinct from a numeral, an arbitrary integer, or the cardinality of a collection. - **Medžuslovjansky / Interslavic:** `prirodno čislo`; lemma `prirodno čislo`; Cyrillic `природно число` - **Gramatika / use:** neuter noun phrase. The neuter adjective agrees with čislo: genitive prirodnogo čisla; plural prirodna čisla. - **Argumentacija / rationale:** Prirodno čislo combines two directly frozen heads and gives especially strong South-Slavic and Czech-root transparency while remaining reconstructible elsewhere. The source occurrence explicitly binds the phrase to the carrier Nat. Its surrounding non-expressibility sentence is logically defective, but that defect does not alter the lexical identity of the numbers named. - **Uvěrjenost / status:** 0.77 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXPRESSING-PROPERTIES` · lines 28-31 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXPRESSING-PROPERTIES` lines 28-31 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11548]; dictionary_id=1215; lemma=prirodny; gloss=natural (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11893]; dictionary_id=17215; lemma=čislo; gloss=number (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/expressing-props-of-structures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `naturalno čislo` — The international adjective is highly recognizable in East and West Slavic mathematical usage, but prirodny is the selected directly frozen bridge to Czech přirozený and South-Slavic prirodan while still listing naturalny as an explicit reversible alternative. - **Neizvěstnost / uncertainty:** No frozen dictionary row directly attests the complete Interslavic mathematical compound.; The source's surrounding only-if/contains-only claim is logically defective and is preserved as adverse evidence rather than used as semantic proof. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No frozen dictionary row directly attests the complete Interslavic mathematical compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The source's surrounding only-if/contains-only claim is logically defective and is preserved as adverse evidence rather than used as semantic proof. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A member of the standard set of natural numbers denoted by Nat; distinct from a numeral, an arbitrary integer, or the cardinality of a collection.’, should ‘prirodno čislo’ remain preferred over ‘naturalno čislo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0185 · model-theory.structural-property - **Revizija / recording:** `OLISV-T0185-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **structural property** — A property of structures that is invariant under isomorphism; whether such a property is expressible by a sentence or theory is a separate question. - **Medžuslovjansky / Interslavic:** `strukturno svojstvo`; lemma `strukturno svojstvo`; Cyrillic `структурно својство` - **Gramatika / use:** neuter noun phrase. The neuter adjective agrees with svojstvo: genitive strukturnogo svojstva; plural strukturna svojstva. - **Argumentacija / rationale:** Strukturno svojstvo is the transparent combination of two directly frozen heads and keeps this model-theoretic sense distinct from OLISV-T0140's generic syntactic-property scope. The source places the term in an expressibility question, so the canon explicitly refuses to equate structurality with first-order expressibility. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXPRESSING-PROPERTIES` · lines 31-36 · English Open Logic occurrence and sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXPRESSING-PROPERTIES` lines 31-36 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16425]; dictionary_id=36307; lemma=strukturny; gloss=structural (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3203]; dictionary_id=22019; lemma=svojstvo; gloss=characteristic, property (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/expressing-props-of-structures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `strukturalno svojstvo` — The international adjective is intelligible, but the frozen dictionary directly selects strukturny and supplies pan-Slavic cognates; no competing benefit justifies departing from it. - **Neizvěstnost / uncertainty:** The source uses quotation marks and asks which structural properties are sentence-expressible rather than giving a formal definition in this unit.; Isomorphism invariance is the model-theoretic sense boundary; it must not be read as first-order definability. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source uses quotation marks and asks which structural properties are sentence-expressible rather than giving a formal definition in this unit. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Isomorphism invariance is the model-theoretic sense boundary; it must not be read as first-order definability. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A property of structures that is invariant under isomorphism; whether such a property is expressible by a sentence or theory is a separate question.’, should ‘strukturno svojstvo’ remain preferred over ‘strukturalno svojstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0186 · algebra.group - **Revizija / recording:** `OLISV-T0186-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **group** — A structure with an associative binary operation, an identity element, and inverses, here presented through a first-order axiom system. - **Medžuslovjansky / Interslavic:** `grupa`; lemma `grupa`; Cyrillic `група` - **Gramatika / use:** feminine noun. Feminine noun; genitive grupy, plural grupy. In this formal context it names the algebraic structure, not an informal collection. - **Argumentacija / rationale:** Grupa is the exact frozen lemma and is transparent across all six comparison traditions; the current source fixes its algebraic rather than social sense. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 29-38 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 29-38 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[8040]; dictionary_id=1787; lemma=grupa; gloss=group (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `skupina` — The native alternative is common in Czech and some South-Slavic contexts, but it is less uniform across the six traditions and the dictionary explicitly supplies grupa for mathematics. - **Neizvěstnost / uncertainty:** The source gives a right-sided presentation of identity and inverse; the term remains the ordinary group concept under the displayed associativity axiom. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source gives a right-sided presentation of identity and inverse; the term remains the ordinary group concept under the displayed associativity axiom. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A structure with an associative binary operation, an identity element, and inverses, here presented through a first-order axiom system.’, should ‘grupa’ remain preferred over ‘skupina’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0187 · arithmetic.peano - **Revizija / recording:** `OLISV-T0187-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Peano arithmetic** — The first-order arithmetic theory using zero, successor, addition, multiplication, order, and an induction schema. - **Medžuslovjansky / Interslavic:** `Peanova aritmetika`; lemma `Peanova aritmetika`; Cyrillic `Пеанова аритметика` - **Gramatika / use:** feminine proper-name noun phrase. The possessive adjective agrees with aritmetika: genitive Peanovoj aritmetiky. Preserve the mathematician's surname as Peano in citations. - **Argumentacija / rationale:** The direct international head is unanimous, and Peanova supplies a compact possessive surface familiar to West and South Slavic readers while the comparison table preserves East-Slavic genitive phrasing. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 40-60 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 40-60 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1093]; dictionary_id=21256; lemma=aritmetika; gloss=arithmetics (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `aritmetika Peano` — The indeclinable surname phrase is transparent and strong in East Slavic, but the possessive adjective integrates more naturally into the selected Interslavic syntax. - **Neizvěstnost / uncertainty:** The source deliberately gives a simplified induction schema and does not state every parameter or side condition of a full presentation. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source deliberately gives a simplified induction schema and does not state every parameter or side condition of a full presentation. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The first-order arithmetic theory using zero, successor, addition, multiplication, order, and an induction schema.’, should ‘Peanova aritmetika’ remain preferred over ‘aritmetika Peano’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0188 · arithmetic.induction-schema - **Revizija / recording:** `OLISV-T0188-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **induction schema** — The infinite family of induction instances in first-order arithmetic, one for each permitted formula rather than one second-order axiom. - **Medžuslovjansky / Interslavic:** `shema indukcije`; lemma `shema indukcije`; Cyrillic `схема индукције` - **Gramatika / use:** feminine noun phrase. Feminine head with genitive complement; genitive shemy indukcije. Use instance of the schema for one permitted formula. - **Argumentacija / rationale:** The phrase follows a near-unanimous international family and distinguishes an axiom schema from one axiom and from the earlier proof method structural induction. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 51-57 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 51-57 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14890]; dictionary_id=18814; lemma=shema; gloss=scheme (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 58 - **Alternativy / alternatives:** `indukcijska shema` — The adjectival order is grammatical, but the genitive phrase aligns more uniformly with Russian, Ukrainian, Polish, Czech, Slovak, and the accepted edition's induction terminology. - **Neizvěstnost / uncertainty:** The source itself warns that its displayed schema is simplified; parameters and side conditions are not fully stated. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source itself warns that its displayed schema is simplified; parameters and side conditions are not fully stated. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The infinite family of induction instances in first-order arithmetic, one for each permitted formula rather than one second-order axiom.’, should ‘shema indukcije’ remain preferred over ‘indukcijska shema’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0189 · logic.explicit-definition - **Revizija / recording:** `OLISV-T0189-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **explicit definition** — An axiom that introduces a symbol by stating an equivalent condition formulated with previously available vocabulary. - **Medžuslovjansky / Interslavic:** `eksplicitna definicija`; lemma `eksplicitna definicija`; Cyrillic `експлицитна дефиниција` - **Gramatika / use:** feminine noun phrase. The adjective agrees with definicija: genitive eksplicitnoj definicije; plural eksplicitne definicije. - **Argumentacija / rationale:** Eksplicitna definicija is internationally recognizable and avoids making the formal notion depend on javny, whose frozen primary sense is public. The source supplies the exact definitional role of the last Peano axiom. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 54-60 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 54-60 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4862]; dictionary_id=2624; lemma=definicija; gloss=definition (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6530]; dictionary_id=17625; lemma=jednoznačny; gloss includes explicit (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13639]; dictionary_id=8241; lemma=javny; gloss=public (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 61 - **Alternativy / alternatives:** `javno opreděljenje` — This calque is transparent to East Slavic readers, but javny is primarily public in the frozen Interslavic row and opreděljenje is not the accepted dictionary head for definition. - **Neizvěstnost / uncertainty:** The selected adjective is an editorial internationalism; the frozen dictionary supplies only adjacent explicit/unambiguous and national comparison evidence. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The selected adjective is an editorial internationalism; the frozen dictionary supplies only adjacent explicit/unambiguous and national comparison evidence. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An axiom that introduces a symbol by stating an equivalent condition formulated with previously available vocabulary.’, should ‘eksplicitna definicija’ remain preferred over ‘javno opreděljenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0190 · set.empty - **Revizija / recording:** `OLISV-T0190-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **empty set** — The unique set having no elements, denoted by the empty-set symbol. - **Medžuslovjansky / Interslavic:** `prazdno množstvo`; lemma `prazdno množstvo`; Cyrillic `праздно множство` - **Gramatika / use:** neuter noun phrase. The neuter adjective agrees with množstvo: genitive prazdnogo množstva; plural prazdna množstva. - **Argumentacija / rationale:** The two directly frozen components produce a transparent mathematical compound. Prazdno preserves the familiar West/South/Bulgarian root while the comparison table records East-Slavic pust-/porozhn- competition. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 62-88 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 62-88 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6101]; dictionary_id=16335; lemma=pråzdny; gloss=empty (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15156]; dictionary_id=36434; lemma=množstvo; gloss=set (mathematics) (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 67 - **Alternativy / alternatives:** `pusto množstvo` — Pusty is also directly attested and especially transparent in East and West Slavic, but prazdny has broader support for the selected mathematical compound and matches the accepted edition surface. - **Neizvěstnost / uncertainty:** National languages divide between prazd-/pust-/porozhn- roots; the selected form is a project bridge rather than a claim of universal specialist usage. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National languages divide between prazd-/pust-/porozhn- roots; the selected form is a project bridge rather than a claim of universal specialist usage. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The unique set having no elements, denoted by the empty-set symbol.’, should ‘prazdno množstvo’ remain preferred over ‘pusto množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0191 · set.pure - **Revizija / recording:** `OLISV-T0191-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **pure set** — A set whose elements, recursively, are themselves sets, so that its transitive formation contains no urelements. - **Medžuslovjansky / Interslavic:** `čisto množstvo`; lemma `čisto množstvo`; Cyrillic `чисто множство` - **Gramatika / use:** neuter noun phrase. The neuter adjective agrees with množstvo: genitive čistogo množstva; plural čista množstva. - **Argumentacija / rationale:** Čisto množstvo is a direct componential match across the six comparison traditions, and the current source supplies the recursive no-urelement boundary. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 62-72 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 62-72 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3445]; dictionary_id=582; lemma=čisty; gloss=clean, pure (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15156]; dictionary_id=36434; lemma=množstvo; gloss=set (mathematics) (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `bezurelementno množstvo` — The negative compound makes one consequence explicit but is cumbersome and does not express the established recursive pure-set term as directly. - **Neizvěstnost / uncertainty:** The informal source explanation tacitly assumes well-founded formation and does not itself distinguish non-well-founded pure sets. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The informal source explanation tacitly assumes well-founded formation and does not itself distinguish non-well-founded pure sets. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A set whose elements, recursively, are themselves sets, so that its transitive formation contains no urelements.’, should ‘čisto množstvo’ remain preferred over ‘bezurelementno množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0192 · set.urelement - **Revizija / recording:** `OLISV-T0192-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **urelement** — An object admitted as an element of sets while not itself being a set. - **Medžuslovjansky / Interslavic:** `urelement`; lemma `urelement`; Cyrillic `урелемент` - **Gramatika / use:** masculine noun. Masculine noun; genitive urelementa, plural urelementy. Use only for a non-set object in a set-theoretic universe. - **Argumentacija / rationale:** Urelement is the compact international technical term used by the source and is directly reconstructible from the established element head. Keeping it distinct avoids overloading atom, which has additional logical and mereological senses. - **Uvěrjenost / status:** 0.73 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 63-69 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 63-69 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6006]; dictionary_id=17372; lemma=element; gloss=element (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 70 - **Alternativy / alternatives:** `praelement` — The calque is morphologically transparent but is not the source term and is less stable across specialist traditions than urelement. - **Neizvěstnost / uncertainty:** No exact urelement entry occurs in the frozen dictionary response.; Atom is deliberately rejected because it is ambiguous across set theory, logic, physics, and mereology. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No exact urelement entry occurs in the frozen dictionary response. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Atom is deliberately rejected because it is ambiguous across set theory, logic, physics, and mereology. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An object admitted as an element of sets while not itself being a set.’, should ‘urelement’ remain preferred over ‘praelement’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0193 · set.extensionality - **Revizija / recording:** `OLISV-T0193-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **set extensionality** — The principle that sets with exactly the same elements are equal. - **Medžuslovjansky / Interslavic:** `ekstensionalnost množstv`; lemma `ekstensionalnost množstv`; Cyrillic `екстенсионалност множств` - **Gramatika / use:** feminine noun phrase with genitive plural. Feminine head; genitive ekstensionalnosti množstv. The corresponding axiom may be called aksioma ekstensionalnosti. - **Argumentacija / rationale:** The qualified head preserves the edition's established s-normalized extensionality family while separating equality-by-membership for sets from OLISV-T0173's semantic invariance principle for formulas and structures. - **Uvěrjenost / status:** 0.81 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 73-88 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 73-88 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6583]; dictionary_id=37683; lemma=ekstensivny; gloss=extensive (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15156]; dictionary_id=36434; lemma=množstvo; gloss=set (mathematics) (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `ekstensionalnost` — The short form is valid in a clearly set-theoretic context, but the canonical head needs a qualifier to prevent collision with the distinct logical-extensionality entry. - **Neizvěstnost / uncertainty:** No exact set-extensionality lemma occurs in the frozen dictionary.; National spellings divide between s and z; the project retains its established s-normalization. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No exact set-extensionality lemma occurs in the frozen dictionary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National spellings divide between s and z; the project retains its established s-normalization. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The principle that sets with exactly the same elements are equal.’, should ‘ekstensionalnost množstv’ remain preferred over ‘ekstensionalnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0194 · set.naive-comprehension-schema - **Revizija / recording:** `OLISV-T0194-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **naive comprehension scheme** — The unrestricted schema asserting that every condition determines a set of exactly the objects satisfying it, which yields contradiction in the displayed theory. - **Medžuslovjansky / Interslavic:** `naivna shema tvorjenja množstv`; lemma `naivna shema tvorjenja množstv`; Cyrillic `наивна схема творјења множств` - **Gramatika / use:** feminine noun phrase. Feminine head; genitive naivnoj shemy tvorjenja množstv. Use one instance of the schema for one formula. - **Argumentacija / rationale:** Naivna shema tvorjenja množstv is built from directly frozen components and is more immediately transparent than an unexplained comprehension internationalism. The canon still records the international alternative for readers coming from Polish, Czech, or Anglophone logic. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 81-99 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 81-99 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11502]; dictionary_id=16721; lemma=naivny; gloss=naive (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14890]; dictionary_id=18814; lemma=shema; gloss=scheme (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4404]; dictionary_id=3381; lemma=stvorjeńje; gloss=creation (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15156]; dictionary_id=36434; lemma=množstvo; gloss=set (mathematics) (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `naivna shema komprehensije` — The international term is exact and strong in some specialist traditions, but it lacks a frozen Interslavic head and is less compositionally transparent to the broad Slavic readership. - **Neizvěstnost / uncertainty:** The source does not state syntactic side conditions on the schema variable A.; National specialist traditions split between native formation/separation phrasing and the international comprehension family. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source does not state syntactic side conditions on the schema variable A. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: National specialist traditions split between native formation/separation phrasing and the international comprehension family. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The unrestricted schema asserting that every condition determines a set of exactly the objects satisfying it, which yields contradiction in the displayed theory.’, should ‘naivna shema tvorjenja množstv’ remain preferred over ‘naivna shema komprehensije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0195 · mereology.mereology - **Revizija / recording:** `OLISV-T0195-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **mereology** — The formal and metaphysical study of parts, wholes, parthood, overlap, sums, and fusion. - **Medžuslovjansky / Interslavic:** `mereologija`; lemma `mereologija`; Cyrillic `мереологија` - **Gramatika / use:** feminine noun. Feminine noun; genitive mereologije. Derive the adjective mereologičny, feminine mereologična. - **Argumentacija / rationale:** Mereologija is the uniform international name across the six specialist traditions. The source immediately grounds it in the directly frozen concepts of part and relation, preventing the label from remaining opaque. - **Uvěrjenost / status:** 0.84 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 102-140 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 102-140 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `teorija česti` — The descriptive phrase is transparent but names one theory or family of theories rather than the broader discipline and metaphysical subject area. - **Neizvěstnost / uncertainty:** No exact mereologija row occurs in the frozen dictionary response; the selection is an edition-level internationalism. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No exact mereologija row occurs in the frozen dictionary response; the selection is an edition-level internationalism. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The formal and metaphysical study of parts, wholes, parthood, overlap, sums, and fusion.’, should ‘mereologija’ remain preferred over ‘teorija česti’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0196 · mereology.parthood - **Revizija / recording:** `OLISV-T0196-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **parthood** — The relation holding when one object is a part of another; in the displayed basic theory it is axiomatized as a partial order. - **Medžuslovjansky / Interslavic:** `odnošenje česti`; lemma `odnošenje česti`; Cyrillic `одношење чести` - **Gramatika / use:** neuter noun phrase with genitive. Neuter head; genitive odnošenja česti. In prose use x jest čestju y for x is part of y. - **Argumentacija / rationale:** The compound uses two direct heads and makes the abstract English suffix transparent. It also provides a stable base for parthood structure, proper part, and improper part. - **Uvěrjenost / status:** 0.76 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 103-127 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 103-127 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14174]; dictionary_id=1992; lemma=odnošeńje; gloss=relation (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12471]; dictionary_id=1731; lemma=čęsť; gloss=part (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 118 - **Alternativy / alternatives:** `čestnost` — A compact abstract derivative would collide with the established honor/honesty family and would be opaque or misleading to many Slavic readers. - **Neizvěstnost / uncertainty:** The frozen part row is marked weaker for several East and South Slavic columns; del/dio/частина remain important comparanda. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen part row is marked weaker for several East and South Slavic columns; del/dio/частина remain important comparanda. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The relation holding when one object is a part of another; in the displayed basic theory it is axiomatized as a partial order.’, should ‘odnošenje česti’ remain preferred over ‘čestnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0197 · mereology.parthood-structure - **Revizija / recording:** `OLISV-T0197-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **parthood structure** — A first-order structure whose distinguished binary predicate is intended to represent parthood. - **Medžuslovjansky / Interslavic:** `struktura česti`; lemma `struktura česti`; Cyrillic `структура чести` - **Gramatika / use:** feminine noun phrase with genitive. Feminine head; genitive struktury česti, plural struktury česti. The phrase denotes an intended interpretation, not every binary-relation structure. - **Argumentacija / rationale:** Struktura česti is compact and compositionally transparent in context. The usage note preserves the source's warning that the label depends on the intended interpretation of the predicate. - **Uvěrjenost / status:** 0.75 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 108-115 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 108-115 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16426]; dictionary_id=16363; lemma=struktura; gloss=structure (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12471]; dictionary_id=1731; lemma=čęsť; gloss=part (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `struktura odnošenja česti` — The fully explicit compound is precise but heavy in repeated prose; the shorter canonical term remains tied to parthood through its definition and canon link. - **Neizvěstnost / uncertainty:** No exact parthood-structure phrase occurs in the frozen dictionary, and national languages often retain the relation noun explicitly. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No exact parthood-structure phrase occurs in the frozen dictionary, and national languages often retain the relation noun explicitly. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A first-order structure whose distinguished binary predicate is intended to represent parthood.’, should ‘struktura česti’ remain preferred over ‘struktura odnošenja česti’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0198 · mereology.proper-part - **Revizija / recording:** `OLISV-T0198-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **proper part** — A part of an object that is not identical with the whole object. - **Medžuslovjansky / Interslavic:** `vlastna čest`; lemma `vlastna čest`; Cyrillic `властна чест` - **Gramatika / use:** feminine noun phrase. The adjective agrees with čest: genitive vlastnoj česti; plural vlastne česti. It is the strict, non-reflexive portion of parthood. - **Argumentacija / rationale:** Vlastna čest aligns strongly with Ukrainian, Polish, Czech, and Slovak proper-part traditions and remains reconstructible through own/proper senses elsewhere. The source fixes the non-identity boundary. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 133-140 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 133-140 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12327]; dictionary_id=1913; lemma=vlastny; gloss=own (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13541]; dictionary_id=22480; lemma=vlastny; gloss=proper (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12471]; dictionary_id=1731; lemma=čęsť; gloss=part (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `stroga čest` — The strict-order calque is formally transparent but less idiomatic across the comparison traditions and risks suggesting severity rather than non-identity outside formal context. - **Neizvěstnost / uncertainty:** The frozen proper adjective row primarily means suitable or appropriate, so the technical non-identity sense depends on the formal source definition. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen proper adjective row primarily means suitable or appropriate, so the technical non-identity sense depends on the formal source definition. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A part of an object that is not identical with the whole object.’, should ‘vlastna čest’ remain preferred over ‘stroga čest’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0199 · mereology.improper-part - **Revizija / recording:** `OLISV-T0199-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **improper part** — An object considered as a part of itself under reflexive parthood. - **Medžuslovjansky / Interslavic:** `nevlastna čest`; lemma `nevlastna čest`; Cyrillic `невластна чест` - **Gramatika / use:** feminine noun phrase. The adjective agrees with čest: genitive nevlastnoj česti; plural nevlastne česti. It includes the whole object itself. - **Argumentacija / rationale:** Nevlastna čest forms the regular negative counterpart to the selected proper-part term and matches the source's explicit example of every object being its own improper part. - **Uvěrjenost / status:** 0.71 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 115-121 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 115-121 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12327,13541]; dictionary_id=1913,22480; lemma=vlastny; gloss=own/proper (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12471]; dictionary_id=1731; lemma=čęsť; gloss=part (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nestroga čest` — The formal negation of strict is intelligible, but it is less idiomatic and could include incomparable parts rather than specifically the whole object itself. - **Neizvěstnost / uncertainty:** No exact nevlastny dictionary row was found; the term is a transparent project derivation from the selected proper-part family. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No exact nevlastny dictionary row was found; the term is a transparent project derivation from the selected proper-part family. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An object considered as a part of itself under reflexive parthood.’, should ‘nevlastna čest’ remain preferred over ‘nestroga čest’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0200 · mereology.mereological-sum - **Revizija / recording:** `OLISV-T0200-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **mereological sum** — The displayed least upper bound of two objects under parthood: an object containing both as parts and minimal with that property. - **Medžuslovjansky / Interslavic:** `mereologična suma`; lemma `mereologična suma`; Cyrillic `мереологична сума` - **Gramatika / use:** feminine noun phrase. The adjective agrees with suma: genitive mereologičnoj sumy; plural mereologične sumy. - **Argumentacija / rationale:** The international compound is transparent and preserves the displayed order-theoretic definition. It is kept distinct from the later informal fusion term because the source does not define fusion or prove equivalence there. - **Uvěrjenost / status:** 0.89 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 128-132 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 128-132 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16586]; dictionary_id=1427; lemma=suma; gloss=sum (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `suma česti` — The native complement is transparent but can suggest an arithmetic total of parts; the mereological adjective marks the technical order-theoretic operation more reliably. - **Neizvěstnost / uncertainty:** The source's later word fusion is informal and undefined; no equivalence with the displayed sum is assumed in the canon. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source's later word fusion is informal and undefined; no equivalence with the displayed sum is assumed in the canon. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The displayed least upper bound of two objects under parthood: an object containing both as parts and minimal with that property.’, should ‘mereologična suma’ remain preferred over ‘suma česti’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0201 · mereology.fusion - **Revizija / recording:** `OLISV-T0201-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **mereological fusion** — An object composed of specified parts in the source's informal supplementation principle; the unit does not provide a formal definition of fusion. - **Medžuslovjansky / Interslavic:** `mereologična fuzija`; lemma `mereologična fuzija`; Cyrillic `мереологична фузија` - **Gramatika / use:** feminine noun phrase. The adjective agrees with fuzija: genitive mereologičnoj fuzije. In an established mereological context the short form fuzija is permitted. - **Argumentacija / rationale:** Mereologična fuzija retains the source's international technical label and is especially transparent in West and South Slavic traditions. The qualification prevents confusion with physical, organizational, or biological fusion. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXAMPLES` · lines 133-140 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXAMPLES` lines 133-140 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7467]; dictionary_id=35830; lemma=fuzija; gloss=fusion (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/theories.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `slivanje česti` — The native merger phrase is strong for Russian and Ukrainian readers but can describe a process rather than the mereological object or operation and is less uniform across the comparison set. - **Neizvěstnost / uncertainty:** The source does not define overlap or fusion formally.; Mereological fusion is not silently collapsed into the separately displayed least-upper-bound sum in this unit. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source does not define overlap or fusion formally. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Mereological fusion is not silently collapsed into the separately displayed least-upper-bound sum in this unit. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An object composed of specified parts in the source's informal supplementation principle; the unit does not provide a formal definition of fusion.’, should ‘mereologična fuzija’ remain preferred over ‘slivanje česti’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0202 · model-theory.relation-expression - **Revizija / recording:** `OLISV-T0202-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **formula expressing a relation** — The satisfaction-relative condition in which a formula with specified free variables holds under exactly those assignments whose values stand in a given relation. - **Medžuslovjansky / Interslavic:** `izražanje odnošenja formulom`; lemma `izražanje odnošenja formulom`; Cyrillic `изражање одношења формулом` - **Gramatika / use:** neuter verbal noun phrase. Neuter head izražanje with genitive odnošenja and instrumental formulom; in clauses use formula izražaje odnošenje. - **Argumentacija / rationale:** The phrase preserves the source's distinction between a formula expressing a relation and the broader model-theoretic concept of definability. All three lexical components are directly registered and the controlled clause states the formal operation naturally. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` · lines 15-53 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` lines 15-53 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6564]; dictionary_id=682; lemma=izražati; gloss=express (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7255]; dictionary_id=5181; lemma=formula; gloss=formula (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14174]; dictionary_id=1992; lemma=odnošeńje; gloss=relation (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/expressing-relations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `definovanje odnošenja` — This collapses expression into the broader definability concept and obscures the assignment-relative satisfaction condition that the source defines first. - **Neizvěstnost / uncertainty:** The complete verbal-noun phrase is editorial packaging; the controlled clause formula izražaje odnošenje is the primary running-prose form. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete verbal-noun phrase is editorial packaging; the controlled clause formula izražaje odnošenje is the primary running-prose form. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The satisfaction-relative condition in which a formula with specified free variables holds under exactly those assignments whose values stand in a given relation.’, should ‘izražanje odnošenja formulom’ remain preferred over ‘definovanje odnošenja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0203 · relation.successor - **Revizija / recording:** `OLISV-T0203-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **successor relation** — The binary arithmetic relation R in which Rnm holds when m is the immediate successor of n. - **Medžuslovjansky / Interslavic:** `odnošenje naslědnika`; lemma `odnošenje naslědnika`; Cyrillic `одношење наслєдника` - **Gramatika / use:** neuter noun phrase with genitive singular. Neuter head with genitive naslědnika; distinguish the binary relation from the canonical successor function. - **Argumentacija / rationale:** The compound extends the already canonical successor-function family and is established in the accepted relation-operations unit. The general dictionary successor row supplies the lexical bridge while the formal source fixes immediacy and argument order. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` · lines 55-65 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` lines 55-65 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14174]; dictionary_id=1992; lemma=odnošeńje; gloss=relation (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16538]; dictionary_id=9462; lemma=naslědnik; gloss=successor (RESOLVED); `OL-REL-OPERATIONS-ISV` lines 34-51 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/expressing-relations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/operations.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 37, 47, 63 - **Alternativy / alternatives:** `odnošenje nastupnika` — The alternative is understandable but conflicts with the established lane term and would split the successor relation from the canonical successor-function family. - **Neizvěstnost / uncertainty:** The frozen naslědnik row is general-language rather than mathematical; the formal source and accepted relation unit establish the specialist sense. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen naslědnik row is general-language rather than mathematical; the formal source and accepted relation unit establish the specialist sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The binary arithmetic relation R in which Rnm holds when m is the immediate successor of n.’, should ‘odnošenje naslědnika’ remain preferred over ‘odnošenje nastupnika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0204 · relation.predecessor - **Revizija / recording:** `OLISV-T0204-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **predecessor relation** — The binary arithmetic relation inverse to the successor relation, here expressed by equality to the successor of the second argument. - **Medžuslovjansky / Interslavic:** `odnošenje prědhodnika`; lemma `odnošenje prědhodnika`; Cyrillic `одношење прєдходника` - **Gramatika / use:** neuter noun phrase with genitive singular. Neuter head with genitive prědhodnika; the argument order is fixed by the displayed formula. - **Argumentacija / rationale:** Both components are directly registered, and the complete term already occurs in an accepted mathematical unit. It also pairs transparently with odnošenje naslědnika. - **Uvěrjenost / status:** 0.89 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` · lines 61-65 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` lines 61-65 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13288]; dictionary_id=35639; lemma=prědhodnik; gloss=predecessor (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14174]; dictionary_id=1992; lemma=odnošeńje; gloss=relation (RESOLVED); `OL-REL-OPERATIONS-ISV` lines 40-43 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/expressing-relations.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 65; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/operations.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 41 - **Alternativy / alternatives:** `odnošenje prědšestvennika` — The East-Slavic-heavy alternative is less uniform and weaker than the direct frozen prědhodnik lemma and the established accepted-unit precedent. - **Neizvěstnost / uncertainty:** National traditions vary between predecessor-as-person and predecessor-as-number morphology, but the formal context removes referential ambiguity. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National traditions vary between predecessor-as-person and predecessor-as-number morphology, but the formal context removes referential ambiguity. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The binary arithmetic relation inverse to the successor relation, here expressed by equality to the successor of the second argument.’, should ‘odnošenje prědhodnika’ remain preferred over ‘odnošenje prědšestvennika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0205 · model-theory.standard-arithmetic-model - **Revizija / recording:** `OLISV-T0205-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **standard model of arithmetic** — The natural-number structure N with the ordinary interpretations of the arithmetic vocabulary, or any L_A-structure isomorphic to it. Standardness is therefore invariant under isomorphism and does not assert that another model's domain elements are literally numbers. - **Medžuslovjansky / Interslavic:** `standardny model aritmetiky`; lemma `standardny model aritmetiky`; Cyrillic `стандардны модел аритметикы` - **Gramatika / use:** masculine noun phrase with genitive complement. Masculine phrase; genitive standardnogo modela aritmetiky and locative v standardnom modelu aritmetiky. - **Argumentacija / rationale:** The surface remains unchanged because its three components are transparent and strongly convergent. Revision 2 repairs the sense boundary: this unit defines every structure isomorphic to N as standard, so the canon may not restrict the head to N alone or identify an isomorphic domain's objects literally with natural numbers. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-STANDARD-MODELS` · lines 12-23 and 43-50 · Definition by isomorphism and explicit object-versus-number boundary - **Evidence loci:** `OL-MODEL-ARITHMETIC-STANDARD-MODELS` lines 12-23 and 43-50 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16187,11194,1093]; dictionary_id=20754,19859,21256 (RESOLVED); `RU-MI-RAS-PROVABILITY-ARITHMETIC-2020` physical page 1 / extracted lines 26-28 (RESOLVED); `UK-KNU-MODEL-THEORY-2023` physical page 37 / decoded extract lines 1810-1815 (RESOLVED); `CS-CUNI-LOGIC-II-2008` physical page 1 / extracted lines 23-30 (RESOLVED); `HR-ZAGREB-GODEL-INCOMPLETENESS-2011` printed page 4 / physical page 6 / extracted lines 172-193 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/standard-models.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `standardny model označaje jedino Struct N` — This is the previous sense's over-narrow implication. OLP-0193 explicitly includes every structure isomorphic to N.; `obyčny model aritmetiky` — Ordinary suggests typicality and loses the conventional model-theoretic reference class fixed by isomorphism. - **Neizvěstnost / uncertainty:** The phrase is an edition-wide provisional technical head, not a claim of official Interslavic or native-speaker certification.; A standard model may have a domain whose elements are not literally natural numbers; only the arithmetic structure up to isomorphism is asserted. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The phrase is an edition-wide provisional technical head, not a claim of official Interslavic or native-speaker certification. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: A standard model may have a domain whose elements are not literally natural numbers; only the arithmetic structure up to isomorphism is asserted. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The natural-number structure N with the ordinary interpretations of the arithmetic vocabulary, or any L_A-structure isomorphic to it. Standardness is therefore invariant under isomorphism and does not assert that another model's domain elements are literally numbers.’, should ‘standardny model aritmetiky’ remain preferred over ‘standardny model označaje jedino Struct N’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0206 · number-theory.divisibility - **Revizija / recording:** `OLISV-T0206-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **divisibility; divides; multiple of** — The integer or natural-number relation in which n divides m exactly when m equals kn for some integer or natural number k; equivalently m is a multiple of n. - **Medžuslovjansky / Interslavic:** `dělimost bez ostatka`; lemma `dělimost bez ostatka`; Cyrillic `дєлимост без остатка` - **Gramatika / use:** feminine noun phrase with controlled predicates. Feminine head; genitive dělimosti bez ostatka. Use n děli m bez ostatka and, where the direction needs emphasis, m jest kratno n. - **Argumentacija / rationale:** The descriptive head and predicate are already established in accepted mathematical prose and avoid mistranslating English evenly as uniformly. The multiple-of wording remains an indexed controlled alias rather than a redundant second relation. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` · lines 80-88 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` lines 80-88 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15251]; dictionary_id=1754; lemma=děliti; gloss=divide (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14356]; dictionary_id=1918; lemma=ostatȯk; gloss=remainder (RESOLVED); `OL-REL-ORDERS-ISV` lines 63-69 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/expressing-relations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/relations/orders.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `ravnoměrna dělimost` — Here English evenly means without remainder, not uniformity. The calque would misstate the arithmetic condition and obscure the accepted exact-division wording. - **Neizvěstnost / uncertainty:** No frozen dictionary row directly certifies mathematical kratno; the multiple-of alias is retained at lower confidence than the canonical divisibility head. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No frozen dictionary row directly certifies mathematical kratno; the multiple-of alias is retained at lower confidence than the canonical divisibility head. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The integer or natural-number relation in which n divides m exactly when m equals kn for some integer or natural number k; equivalently m is a multiple of n.’, should ‘dělimost bez ostatka’ remain preferred over ‘ravnoměrna dělimost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0207 · number-theory.prime-number - **Revizija / recording:** `OLISV-T0207-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **prime number** — A natural number greater than one whose positive divisors are exactly one and itself; the current source's informal gloss omits the greater-than-one condition and therefore wrongly admits 1. - **Medžuslovjansky / Interslavic:** `prosto čislo`; lemma `prosto čislo`; Cyrillic `просто число` - **Gramatika / use:** neuter noun phrase. The adjective agrees with čislo: genitive prostogo čisla and plural prosta čisla. - **Argumentacija / rationale:** Prosto čislo follows the dominant East, South, and Bulgarian specialist family and remains immediately analyzable. The comparison table explicitly preserves the divergent Polish first-number and Czech compound traditions. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` · lines 80-88 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` lines 80-88 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15474]; dictionary_id=2334; lemma=prosty; gloss=simple, easy, plain (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11893]; dictionary_id=17215; lemma=čislo; gloss=number (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/expressing-relations.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 90 - **Alternativy / alternatives:** `prvotno čislo` — The proposed primary or original calque suggests order or origin rather than primality and is less recognizable than the established prost- specialist family. - **Neizvěstnost / uncertainty:** The prosty dictionary row attests ordinary simple or plain senses, not the mathematical homonym.; The source gloss omits n > 1 and therefore admits 1; the translation preserves rather than silently repairs that defect. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The prosty dictionary row attests ordinary simple or plain senses, not the mathematical homonym. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The source gloss omits n > 1 and therefore admits 1; the translation preserves rather than silently repairs that defect. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A natural number greater than one whose positive divisors are exactly one and itself; the current source's informal gloss omits the greater-than-one condition and therefore wrongly admits 1.’, should ‘prosto čislo’ remain preferred over ‘prvotno čislo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0208 · set.cofinite-subset - **Revizija / recording:** `OLISV-T0208-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **co-finite subset** — A subset whose complement in the ambient domain is finite. - **Medžuslovjansky / Interslavic:** `podmnožstvo s konečnym dopolnjenjem`; lemma `podmnožstvo s konečnym dopolnjenjem`; Cyrillic `подмножство с конечным дополњењем` - **Gramatika / use:** neuter descriptive noun phrase. Neuter head; genitive podmnožstva s konečnym dopolnjenjem and plural podmnožstva s konečnym dopolnjenjem. - **Argumentacija / rationale:** The descriptive phrase exposes the defining finite-complement property to readers across Slavic traditions instead of making comprehension depend on the compact international prefix co-. It reuses the established finite-set family. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` · lines 101-119 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-EXPRESSING-RELATIONS` lines 101-119 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16499]; dictionary_id=36456; lemma=podmnožstvo; gloss=subset (mathematics) (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3800]; dictionary_id=7205; lemma=dopȯlnjeńje; gloss=complement (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6943]; dictionary_id=17676; lemma=konėčnosť; gloss=finiteness, finality (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/expressing-relations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kofinitno podmnožstvo` — The compact internationalism is useful as an alias but is less immediately parsable across the intended broad readership than the explicit finite-complement phrase. - **Neizvěstnost / uncertainty:** The descriptive phrase is intentionally longer than the specialist internationalism kofinitny; the latter remains a documented comparison form rather than the primary head. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The descriptive phrase is intentionally longer than the specialist internationalism kofinitny; the latter remains a documented comparison form rather than the primary head. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A subset whose complement in the ambient domain is finite.’, should ‘podmnožstvo s konečnym dopolnjenjem’ remain preferred over ‘kofinitno podmnožstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0209 · set-theory.discipline - **Revizija / recording:** `OLISV-T0209-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **set theory** — The mathematical discipline and first-order axiomatic framework whose basic objects are sets and whose primitive relation here is membership. - **Medžuslovjansky / Interslavic:** `teorija množstv`; lemma `teorija množstv`; Cyrillic `теорија множств` - **Gramatika / use:** feminine noun phrase with genitive plural. Feminine head; genitive teorije množstv and locative v teoriji množstv. The complement množstv remains genitive plural. - **Argumentacija / rationale:** The genitive construction is immediately transparent across East, West, and South Slavic terminology and reuses the existing mathematical-set canon instead of importing a narrower national synonym. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 11-29 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 11-29 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17168]; dictionary_id=4739; lemma=teorija; gloss=theory (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15156]; dictionary_id=36434; lemma=množstvo; gloss=set (mathematics) (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 11, 18, 154 - **Alternativy / alternatives:** `teorija skupov` — Skup is prominent in part of South Slavic usage, but množstvo is the established lane-wide mathematical-set head and aligns more broadly with the East and West Slavic comparison set. - **Neizvěstnost / uncertainty:** National languages divide between množina/mnogość and skup families; the canon deliberately privileges continuity with the lane's existing množstvo head. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National languages divide between množina/mnogość and skup families; the canon deliberately privileges continuity with the lane's existing množstvo head. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The mathematical discipline and first-order axiomatic framework whose basic objects are sets and whose primitive relation here is membership.’, should ‘teorija množstv’ remain preferred over ‘teorija skupov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0210 · set-theory.zfc - **Revizija / recording:** `OLISV-T0210-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Zermelo--Fraenkel set theory with the axiom of choice** — The ZFC axiom system as named in the source, without any claim that it is complete, uniquely foundational, or absolutely consistent. - **Medžuslovjansky / Interslavic:** `teorija množstv Zermela--Fraenkela s aksiomoju izbora`; lemma `teorija množstv Zermela--Fraenkela s aksiomoju izbora`; Cyrillic `теорија множств Зермела--Фраенкела с аксиомоју избора` - **Gramatika / use:** proper-name noun phrase. The theory head declines normally; Zermela and Fraenkela are genitive proper-name complements, while s governs instrumental aksiomoju. - **Argumentacija / rationale:** The full form makes the acronym usable without English and preserves the source's proper names and the explicit choice-axiom qualifier. A genitive proper-name construction avoids choosing one national possessive pattern over the others. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 15-21 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 15-21 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17168,15156]; dictionary_id=4739,36434; lemma=teorija,množstvo (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1498,3311]; dictionary_id=24180,4333; lemma=aksioma,izbor (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `Zermelo--Fraenkelova teorija množstv s aksiomom izbora` — The adjectival alternative is understandable but mixes an indeclinable first name with a possessive second name; the selected parallel genitives are more regular in the lane's controlled prose. - **Neizvěstnost / uncertainty:** The source's statement that ZFC proves almost everything mathematicians expect is heuristic; this entry does not endorse completeness, uniqueness, or an absolute consistency claim. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source's statement that ZFC proves almost everything mathematicians expect is heuristic; this entry does not endorse completeness, uniqueness, or an absolute consistency claim. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The ZFC axiom system as named in the source, without any claim that it is complete, uniquely foundational, or absolutely consistent.’, should ‘teorija množstv Zermela--Fraenkela s aksiomoju izbora’ remain preferred over ‘Zermelo--Fraenkelova teorija množstv s aksiomom izbora’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0211 · set-theory.axiom-choice - **Revizija / recording:** `OLISV-T0211-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **axiom of choice** — The choice axiom named as the C in ZFC; no particular equivalent formulation is selected in this unit. - **Medžuslovjansky / Interslavic:** `aksioma izbora`; lemma `aksioma izbora`; Cyrillic `аксиома избора` - **Gramatika / use:** feminine noun phrase with genitive singular. Feminine head aksioma with genitive singular izbora; instrumental s aksiomoju izbora. - **Argumentacija / rationale:** The compact genitive compound is structurally shared across the comparison languages and composes two directly registered heads. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 18-19 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 18-19 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1498]; dictionary_id=24180; lemma=aksioma; gloss=axiom (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3311]; dictionary_id=4333; lemma=izbor; gloss=choice (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `aksioma vybera` — The vyber family is regionally transparent, but izbor is the registered Interslavic head and matches the established South Slavic axiom phrase without impairing East or West Slavic recognition. - **Neizvěstnost / uncertainty:** This entry names the axiom only; equivalent formulations and their proof-theoretic dependencies remain outside this source unit. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: This entry names the axiom only; equivalent formulations and their proof-theoretic dependencies remain outside this source unit. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The choice axiom named as the C in ZFC; no particular equivalent formulation is selected in this unit.’, should ‘aksioma izbora’ remain preferred over ‘aksioma vybera’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0212 · set.power-set - **Revizija / recording:** `OLISV-T0212-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **power set** — For a set X, the set whose elements are exactly all subsets of X. - **Medžuslovjansky / Interslavic:** `množstvo vsih podmnožstv`; lemma `množstvo vsih podmnožstv`; Cyrillic `множство всих подмножств` - **Gramatika / use:** neuter descriptive noun phrase. Neuter head; the domain follows as a genitive complement, e.g. množstvo vsih podmnožstv množstva X. - **Argumentacija / rationale:** The descriptive head exposes the defining property to readers across Slavic traditions and is already established in an accepted set-theory unit. It avoids making comprehension depend on national potęgowy/potenční or Boolean-set conventions. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 26-27, 73-90, 143-146 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 26-27, 73-90, 143-146 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15156,16499]; dictionary_id=36434,36456; lemma=množstvo,podmnožstvo (RESOLVED); `OL-SET-SUBSETS-ISV` lines 79-84 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/sets/subsets.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 79 - **Alternativy / alternatives:** `potencijalno množstvo` — The international adjective follows West Slavic usage but can read as merely potential and is less transparent than the exact all-subsets definition. - **Neizvěstnost / uncertainty:** Bulean and national power/potential adjectives remain useful aliases; the canon selects the maximally transparent descriptive form. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Bulean and national power/potential adjectives remain useful aliases; the canon selects the maximally transparent descriptive form. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘For a set X, the set whose elements are exactly all subsets of X.’, should ‘množstvo vsih podmnožstv’ remain preferred over ‘potencijalno množstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0213 · set.ordered-pair - **Revizija / recording:** `OLISV-T0213-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **ordered pair** — A two-place ordered object represented in this source by the Kuratowski set {{x},{x,y}}; the representation is not claimed to be unique. - **Medžuslovjansky / Interslavic:** `uporędžena para`; lemma `uporędžena para`; Cyrillic `упореджена пара` - **Gramatika / use:** feminine noun phrase. Feminine adjective-noun agreement; genitive uporędženej pary and plural uporędžene pary. - **Argumentacija / rationale:** The established lane phrase bridges East Slavic uporyadočen- and West/South Slavic ordered-pair families while retaining the broadly shared para head. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 92-105 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 92-105 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[4323]; dictionary_id=2257; lemma=para; gloss=pair (RESOLVED); `OL-SET-PAIRS-PRODUCTS-ISV` lines 10-37 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/sets/pairs-and-products.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 32 - **Alternativy / alternatives:** `uređena para` — The South Slavic form is concise but narrower; uporędžena is already the accepted project form and is more directly recognizable to East and West Slavic readers. - **Neizvěstnost / uncertainty:** The displayed Kuratowski encoding is one representation among several; the term denotes the ordered object, not uniquely that encoding. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The displayed Kuratowski encoding is one representation among several; the term denotes the ordered object, not uniquely that encoding. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A two-place ordered object represented in this source by the Kuratowski set {{x},{x,y}}; the representation is not claimed to be unique.’, should ‘uporędžena para’ remain preferred over ‘uređena para’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0214 · set.cartesian-product - **Revizija / recording:** `OLISV-T0214-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Cartesian product** — The set of ordered pairs whose first coordinate belongs to X and second coordinate belongs to Y. - **Medžuslovjansky / Interslavic:** `kartezijansky produkt`; lemma `kartezijansky produkt`; Cyrillic `картезијанскы продукт` - **Gramatika / use:** masculine adjective-noun phrase. Masculine adjective-noun agreement; genitive kartezijanskogo produkta and plural kartezijanske produkty. - **Argumentacija / rationale:** The accepted term combines the internationally recognizable Cartesian stem with produkt, which aligns especially well with Polish, Czech, and BCS practice while the displayed definition removes any algebraic ambiguity. - **Uvěrjenost / status:** 0.92 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 106-110 · formal Cartesian-product construction and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 106-110 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13491]; dictionary_id=5328; lemma=produkt; gloss=product (RESOLVED); `OL-SET-PAIRS-PRODUCTS-ISV` lines 39-64 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/sets/pairs-and-products.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 58, 59 - **Alternativy / alternatives:** `dekartovo proizvedenje` — The East/Bulgarian calque is recognizable but less even across the six comparison traditions and conflicts with the already accepted project head. - **Neizvěstnost / uncertainty:** National traditions divide between Descartes-based calques and Cartesian internationalisms; the accepted project precedent resolves the editorial choice. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National traditions divide between Descartes-based calques and Cartesian internationalisms; the accepted project precedent resolves the editorial choice. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The set of ordered pairs whose first coordinate belongs to X and second coordinate belongs to Y.’, should ‘kartezijansky produkt’ remain preferred over ‘dekartovo proizvedenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0215 · relation.total - **Revizija / recording:** `OLISV-T0215-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **total relation** — A relation on X and Y that relates every x in X to at least one y in Y; here, the existence clause in a graph representation of a function. - **Medžuslovjansky / Interslavic:** `totalno odnošenje`; lemma `totalno odnošenje`; Cyrillic `тотално одношење` - **Gramatika / use:** neuter adjective-noun phrase. Neuter adjective-noun agreement; genitive totalnogo odnošenja and plural totalna odnošenja. - **Argumentacija / rationale:** The international adjective is shared or immediately recognizable across all six traditions; the source's quantified clause fixes the precise domain-total sense. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 112-127 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 112-127 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17478]; dictionary_id=32744; lemma=totaľny; gloss=total (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14174]; dictionary_id=1992; lemma=odnošeńje; gloss=relation (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `vsegdě opreděljeno odnošenje` — The descriptive East-Slavic-style phrase is accurate but longer and less evenly represented across West and South Slavic terminology than the shared international adjective. - **Neizvěstnost / uncertainty:** Total can have different arity-relative readings; this entry is limited to totality on the stated first-coordinate domain X. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Total can have different arity-relative readings; this entry is limited to totality on the stated first-coordinate domain X. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation on X and Y that relates every x in X to at least one y in Y; here, the existence clause in a graph representation of a function.’, should ‘totalno odnošenje’ remain preferred over ‘vsegdě opreděljeno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0216 · relation.functional - **Revizija / recording:** `OLISV-T0216-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **functional relation** — A right-unique relation: for each first coordinate, any two related second coordinates are equal. - **Medžuslovjansky / Interslavic:** `funkcionalno odnošenje`; lemma `funkcionalno odnošenje`; Cyrillic `функционално одношење` - **Gramatika / use:** neuter adjective-noun phrase. Neuter adjective-noun agreement; genitive funkcionalnogo odnošenja and plural funkcionalna odnošenja. - **Argumentacija / rationale:** The phrase is morphologically regular, strongly convergent across the comparison languages, and already anchored by an accepted graph-of-function explanation. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 112-129 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 112-129 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[7435]; dictionary_id=35303; lemma=funkcionaľny; gloss=functional (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14174]; dictionary_id=1992; lemma=odnošeńje; gloss=relation (RESOLVED); `OL-FUN-RELATIONS-ISV` lines 14-51 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/functions/functions-relations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `funkcijno odnošenje` — Funkcijno can be understood compositionally, but it is less standard for the technical right-unique property and conflicts with the accepted funkcionalno precedent. - **Neizvěstnost / uncertainty:** This property is right-uniqueness only; totality is a separate canon entry and must not be inferred from functional alone. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: This property is right-uniqueness only; totality is a separate canon entry and must not be inferred from functional alone. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A right-unique relation: for each first coordinate, any two related second coordinates are equal.’, should ‘funkcionalno odnošenje’ remain preferred over ‘funkcijno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0217 · set.cantor-theorem - **Revizija / recording:** `OLISV-T0217-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Cantor's theorem** — The theorem instantiated here as the nonexistence of an injection from the power set of X into X. - **Medžuslovjansky / Interslavic:** `Kantorova teorema`; lemma `Kantorova teorema`; Cyrillic `Канторова теорема` - **Gramatika / use:** feminine proper-name possessive phrase. Feminine adjective-noun agreement; genitive Kantorovoj teoremy. Keep initial K in both scripts. - **Argumentacija / rationale:** Kantorova preserves the internationally recognized name while ensuring deterministic Cyrillic yields Канторова. The accepted predecessor spells the Latin head Cantorova; this continuation deliberately normalizes only its initial letter for script stability while retaining the same no-injection sense. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 131-146 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 131-146 (RESOLVED); `OL-SIZE-COMPARING-ISV` lines 11, 58-59, 147-153 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 147; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/size-of-sets/comparing-size.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `Cantorova teorema` — Latin C would deterministically project to Cyrillic Ц, producing the misleading form Цанторова; the canonical K spelling is script-stable and matches East and Bulgarian usage. - **Neizvěstnost / uncertainty:** Polish, Czech, and BCS conventionally retain Latin C; the K spelling is a deliberate bilingual-script normalization, not a claim that those national spellings are wrong. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish, Czech, and BCS conventionally retain Latin C; the K spelling is a deliberate bilingual-script normalization, not a claim that those national spellings are wrong. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The theorem instantiated here as the nonexistence of an injection from the power set of X into X.’, should ‘Kantorova teorema’ remain preferred over ‘Cantorova teorema’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0218 · set.russell-paradox - **Revizija / recording:** `OLISV-T0218-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Russell's paradox** — The contradiction produced by unrestricted comprehension applied to the property of not belonging to oneself. - **Medžuslovjansky / Interslavic:** `Russellov paradoks`; lemma `Russellov paradoks`; Cyrillic `Русселлов парадокс` - **Gramatika / use:** masculine proper-name possessive phrase. Masculine phrase; genitive Russellovogo paradoksa. Preserve the internationally established double l in the proper name. - **Argumentacija / rationale:** The possessive form is already established in the edition and mirrors Czech/BCS morphology while retaining the proper name recognizable across all comparison languages. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 149-180 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 149-180 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[12428]; dictionary_id=543; lemma=paradoks; gloss=paradox (RESOLVED); `OL-SET-RUSSELL-ISV` lines 11-80 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 172; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/sets/russells-paradox.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 11, 36, 45 - **Alternativy / alternatives:** `paradoks Russella` — The genitive construction is valid and common nationally, but the possessive form is the existing project head and produces a more compact stable label. - **Neizvěstnost / uncertainty:** The paradox depends on unrestricted comprehension; it must not be attributed to the restricted separation schema recorded separately. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The paradox depends on unrestricted comprehension; it must not be attributed to the restricted separation schema recorded separately. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The contradiction produced by unrestricted comprehension applied to the property of not belonging to oneself.’, should ‘Russellov paradoks’ remain preferred over ‘paradoks Russella’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0219 · set.separation-schema - **Revizija / recording:** `OLISV-T0219-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **separation schema** — The restricted comprehension schema asserting, for a prior set z and formula A, the existence of the subset of z satisfying A. - **Medžuslovjansky / Interslavic:** `shema vyděljenja`; lemma `shema vyděljenja`; Cyrillic `схема выдєљења` - **Gramatika / use:** feminine noun phrase with genitive singular. Feminine head shema with genitive verbal noun vyděljenja; genitive shemy vyděljenja. - **Argumentacija / rationale:** Shema is directly frozen. The selected vyděljenje is an editorial specialist normalization supported by the displayed restricted-comprehension formula and Russian, Ukrainian, and Czech convergence; the frozen odděliti row is adverse generic comparison, not direct support for this stem. Shema records that the displayed form varies with formulas even though the English prose calls it a separation principle. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SET-THEORY` · lines 166-170 · formal separation-principle formula and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SET-THEORY` lines 166-170 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14890]; dictionary_id=18814; lemma=shema; gloss=scheme (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15104]; dictionary_id=2951; lemma=odděliti; gloss=separate (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/set-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `shema separacije` — The internationalism is familiar in Polish and BCS specialist usage, but vyděljenje is more directly parsable across the intended audience and better matches the East/West specialist comparison; the frozen generic comparator does not decide between the stems. - **Neizvěstnost / uncertainty:** The English prose calls this the separation principle, whereas the canonical head says schema because the displayed formula is schematic; the source also omits explicit parameter and freshness conditions for A(x), which the canon does not silently supply. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The English prose calls this the separation principle, whereas the canonical head says schema because the displayed formula is schematic; the source also omits explicit parameter and freshness conditions for A(x), which the canon does not silently supply. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The restricted comprehension schema asserting, for a prior set z and formula A, the existence of the subset of z satisfying A.’, should ‘shema vyděljenja’ remain preferred over ‘shema separacije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0220 · model-theory.structure-size - **Revizija / recording:** `OLISV-T0220-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **size of a structure** — The number or cardinality of elements in the domain of a structure, without claiming that the source explicitly uses the technical word cardinality. - **Medžuslovjansky / Interslavic:** `velikost struktury`; lemma `velikost struktury`; Cyrillic `великост структуры` - **Gramatika / use:** feminine abstract noun phrase with genitive singular. Feminine head; genitive velikosti struktury. With a named structure use velikost struktury M. - **Argumentacija / rationale:** The source uses informal size and immediately defines it through the number of domain elements. Velikost follows the accepted mathematical-size precedent and remains readable, while the genitive structure phrase avoids importing a cardinality head not required by this unit. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SIZE-STRUCTURES` · lines 11-18, 33-35, 52-53 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SIZE-STRUCTURES` lines 11-18, 33-35, 52-53 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15562]; dictionary_id=5286; lemma=veličina; gloss=size (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16426]; dictionary_id=16363; lemma=struktura; gloss=structure (RESOLVED); `OL-SIZE-COMPARING-ISV` lines 11-19 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/size-of-structures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/size-of-sets/comparing-size.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kardinalnost struktury` — The specialist internationalism is precise but absent from this source and lacks direct frozen support here; selecting it would strengthen informal size into an explicit technical label. - **Neizvěstnost / uncertainty:** National terminology divides among power/cardinality, count, and ordinary-size families; the source itself says size rather than cardinality, and the frozen dictionary directly offers veličina rather than preferred velikost. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National terminology divides among power/cardinality, count, and ordinary-size families; the source itself says size rather than cardinality, and the frozen dictionary directly offers veličina rather than preferred velikost. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The number or cardinality of elements in the domain of a structure, without claiming that the source explicitly uses the technical word cardinality.’, should ‘velikost struktury’ remain preferred over ‘kardinalnost struktury’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0221 · logic.purely-logical-sentence - **Revizija / recording:** `OLISV-T0221-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **purely logical sentence** — A sentence using logical or equality vocabulary but no nonlogical symbols; not a synonym for every well-formed logical sentence. - **Medžuslovjansky / Interslavic:** `čisto logično izrečenje`; lemma `čisto logično izrečenje`; Cyrillic `чисто логично изречење` - **Gramatika / use:** neuter adverb-adjective-noun phrase. Neuter phrase; genitive čisto logičnogo izrečenja. Use izrečenje bez nelogičnyh simbolov as an explicit definitional paraphrase. - **Argumentacija / rationale:** The adverb-adjective construction closely converges across the six comparison traditions and preserves the source contrast with sentences containing nonlogical predicates. Existing canon entries supply izrečenje and the opposed nelogičny simbol family. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-THEORIES-SIZE-STRUCTURES` · lines 13-18, 63-65 · English Open Logic occurrence and specialist sense boundary - **Evidence loci:** `OL-FOL-THEORIES-SIZE-STRUCTURES` lines 13-18, 63-65 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3445]; dictionary_id=582; lemma=čisty; gloss=clean, pure, chaste (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10432]; dictionary_id=363; lemma=logičny; gloss=logical (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/size-of-structures.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 64 - **Alternativy / alternatives:** `samo logično izrečenje` — Samo can mean merely or only and may be read as limiting the count or discourse status of the sentence rather than excluding nonlogical vocabulary. - **Neizvěstnost / uncertainty:** Čisty is directly frozen only in a generic purity sense; the specialist meaning is fixed by the source's explicit absence-of-nonlogical-symbols boundary. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Čisty is directly frozen only in a generic purity sense; the specialist meaning is fixed by the source's explicit absence-of-nonlogical-symbols boundary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A sentence using logical or equality vocabulary but no nonlogical symbols; not a synonym for every well-formed logical sentence.’, should ‘čisto logično izrečenje’ remain preferred over ‘samo logično izrečenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0222 · logic.logical-system - **Revizija / recording:** `OLISV-T0222-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **logical system** — A system treated as a logic, typically involving a formally specified language and usually—but not invariably—a derivation system and intended semantics. These are defeasible characteristics in this source, not necessary-and-sufficient component requirements. - **Medžuslovjansky / Interslavic:** `logičny sistem`; lemma `logičny sistem`; Cyrillic `логичны систем` - **Gramatika / use:** masculine adjective-noun phrase. Genitive logičnogo sistema; nominative plural logične sistemy. Keep logika for the discipline or contextually individuated logic. - **Argumentacija / rationale:** The source now gives a defeasible profile rather than a definition: formal language specification is typical, and a derivation system and intended semantics are each usual but expressly not invariant. The adjective is directly frozen and pan-Slavically convergent; masculine sistem remains the established edition form while dictionary feminine sistema stays visible as adverse evidence. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTRODUCTION` · lines 13-21 · Logical-system occurrence and explicitly defeasible component profile - **Evidence loci:** `OL-FOL-BEYOND-WRAPPER` lines 8-17 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10432]; dictionary_id=363; lemma=logičny; gloss=logical (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16844]; dictionary_id=1317; lemma=sistema; gloss=system (RESOLVED); `OL-FOL-INTRO-SOUNDNESS-COMPLETENESS-ISV` lines 11-25 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts; StandardCyrillic type=5, Standard flavorization=3 (RESOLVED); `OL-FOL-BEYOND-INTRODUCTION` lines 13-21 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/beyond.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/introduction/soundness-completeness.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logična sistema` — The frozen dictionary directly prefers sistema and several national traditions use a feminine noun, but the accepted edition already fixes masculine sistem in formal-logic compounds; changing gender here would split one project head.; `logika` — Logika remains necessary as the discipline and can contextually denote an individuated logic, but the source's explicit logical-system phrase deserves a distinct machine-searchable head. - **Neizvěstnost / uncertainty:** The frozen dictionary directly prefers feminine sistema while the accepted edition uses masculine sistem; the latter is retained for internal continuity.; The source's component profile is explicitly defeasible and must not be hardened into a universal definition of logical systems. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary directly prefers feminine sistema while the accepted edition uses masculine sistem; the latter is retained for internal continuity. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The source's component profile is explicitly defeasible and must not be hardened into a universal definition of logical systems. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A system treated as a logic, typically involving a formally specified language and usually—but not invariably—a derivation system and intended semantics. These are defeasible characteristics in this source, not necessary-and-sufficient component requirements.’, should ‘logičny sistem’ remain preferred over ‘logična sistema’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0223 · logic.higher-order - **Revizija / recording:** `OLISV-T0223-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **higher-order logic** — The family of logical frameworks that allow quantification of higher order, here contrasted with first-order logic and including second-order reasoning. - **Medžuslovjansky / Interslavic:** `logika vyššego reda`; lemma `logika vyššego reda`; Cyrillic `логика вышшего реда` - **Gramatika / use:** feminine noun phrase. Genitive logiky vyššego reda. Use as an umbrella; keep logika drugogo reda for the second-order subtype and logika vyšših tipov for the historically specific type hierarchy. - **Argumentacija / rationale:** The phrase extends the established T0090 genitive order construction and preserves the source's umbrella contrast with first-order logic. It remains distinct from both the second-order subtype and the historically specific higher-type system. The frozen dictionary directly attests vysši; selected vyšši is a disclosed edition-level normalization continuous with the installed translation, not a falsely claimed dictionary form. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTRODUCTION` · lines 39-44 · Higher-order umbrella contrasted with first-order logic and Quine's attributed objection - **Evidence loci:** `OL-FOL-BEYOND-INTRODUCTION` lines 39-44 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10431]; dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[8494]; dictionary_id=20302; lemma=vysši; gloss=higher (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logika vyššego poredka` — Several East-Slavic comparanda use the order/poryadok family, but poredȯk would break the edition's established logika prvogo reda construction. - **Neizvěstnost / uncertainty:** Several national traditions use an order lexeme not identical to the canonical red construction.; The frozen row directly attests vysši rather than the selected edition-normalized vyšši surface. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Several national traditions use an order lexeme not identical to the canonical red construction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The frozen row directly attests vysši rather than the selected edition-normalized vyšši surface. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The family of logical frameworks that allow quantification of higher order, here contrasted with first-order logic and including second-order reasoning.’, should ‘logika vyššego reda’ remain preferred over ‘logika vyššego poredka’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0224 · logic.second-order - **Revizija / recording:** `OLISV-T0224-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **second-order logic** — The second-order subtype named here; in Quine's attributed characterization it belongs to systems involving quantification over predicates. - **Medžuslovjansky / Interslavic:** `logika drugogo reda`; lemma `logika drugogo reda`; Cyrillic `логика другого реда` - **Gramatika / use:** feminine noun phrase. Genitive logiky drugogo reda. Treat as a subtype of logika vyššego reda, not as a synonym for every higher-order framework. - **Argumentacija / rationale:** The dedicated searchable subtype is compositionally parallel to T0090 but carries a distinct quantificational boundary. Drugy balances West and South Slavic convergence and the frozen dictionary against the recognizable East-Slavic vtor- alternative. - **Uvěrjenost / status:** 0.89 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTRODUCTION` · lines 40-44 · Second-order subtype in Quine's attributed set-theoretic characterization - **Evidence loci:** `OL-FOL-BEYOND-INTRODUCTION` lines 40-44 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10431]; dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14985]; dictionary_id=784; lemma=drugy; gloss=second (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logika vtorogo reda` — The East-Slavic and Bulgarian alternative is recognizable, but the frozen drugy component and West/South convergence make drugogo the broader project compromise. - **Neizvěstnost / uncertainty:** Second-order logic has multiple semantic formulations; this entry records the source's predicate-quantification contrast rather than choosing one semantics. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Second-order logic has multiple semantic formulations; this entry records the source's predicate-quantification contrast rather than choosing one semantics. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The second-order subtype named here; in Quine's attributed characterization it belongs to systems involving quantification over predicates.’, should ‘logika drugogo reda’ remain preferred over ‘logika vtorogo reda’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0225 · logic.higher-type - **Revizija / recording:** `OLISV-T0225-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **higher-type logic** — The type-hierarchical logical framework attributed here to Russell and Whitehead's Principia Mathematica, historically distinct from the broader higher-order umbrella. - **Medžuslovjansky / Interslavic:** `logika vyšših tipov`; lemma `logika vyšših tipov`; Cyrillic `логика вышших типов` - **Gramatika / use:** feminine noun phrase. Genitive logiky vyšših tipov. Keep the plural genitive type complement when referring to the hierarchy. - **Argumentacija / rationale:** The transparent international type compound preserves the historically specific description of Principia and prevents its collapse into the broader higher-order label. The frozen dictionary directly attests vysši; selected vyšši is a disclosed edition-level normalization continuous with the installed translation, not a falsely claimed dictionary form. - **Uvěrjenost / status:** 0.84 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTRODUCTION` · lines 32-38 · Russell-Whitehead higher-type system and its qualified axiom discussion - **Evidence loci:** `OL-FOL-BEYOND-INTRODUCTION` lines 32-38 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10431]; dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[8494]; dictionary_id=20302; lemma=vysši; gloss=higher (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17844]; dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logika vyššego reda` — This broader umbrella loses the source's historically significant type-hierarchy distinction. - **Neizvěstnost / uncertainty:** The source gives a high-level historical characterization and does not specify a particular type-theoretic calculus.; The frozen row directly attests vysši rather than the selected edition-normalized vyšši surface. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source gives a high-level historical characterization and does not specify a particular type-theoretic calculus. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The frozen row directly attests vysši rather than the selected edition-normalized vyšši surface. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The type-hierarchical logical framework attributed here to Russell and Whitehead's Principia Mathematica, historically distinct from the broader higher-order umbrella.’, should ‘logika vyšših tipov’ remain preferred over ‘logika vyššego reda’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0226 · philosophy.logicism - **Revizija / recording:** `OLISV-T0226-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **logicism** — The philosophical and foundational program, begun here with Frege and continued by Russell and Whitehead, of developing mathematics on the basis of logic. - **Medžuslovjansky / Interslavic:** `logicizm`; lemma `logicizm`; Cyrillic `логицизм` - **Gramatika / use:** masculine noun. Genitive logicizma; adjective logicističny. Use for the historical program, not for any merely logical style of argument. - **Argumentacija / rationale:** The international -ism name is the concise, pan-Slavically recognizable label for the specific Frege-Russell-Whitehead program described by the source. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTRODUCTION` · lines 32-35 · Fregean logicist tradition and Russell-Whitehead foundational program - **Evidence loci:** `OL-FOL-BEYOND-INTRODUCTION` lines 32-35 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10431]; dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logičny redukcionizm` — This explanatory phrase is not the historical movement's name and would overselect one interpretation of the program. - **Neizvěstnost / uncertainty:** The frozen dictionary lacks a direct logicizm row; the selected head is a source-bounded editorial internationalism. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary lacks a direct logicizm row; the selected head is a source-bounded editorial internationalism. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The philosophical and foundational program, begun here with Frege and continued by Russell and Whitehead, of developing mathematics on the basis of logic.’, should ‘logicizm’ remain preferred over ‘logičny redukcionizm’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0227 · logic.axiom-infinity - **Revizija / recording:** `OLISV-T0227-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **axiom of infinity** — The named axiom of infinity introduced in the Principia system and cited here without a formal statement as an example that may not appear purely logical. - **Medžuslovjansky / Interslavic:** `aksioma bezkonečnosti`; lemma `aksioma bezkonečnosti`; Cyrillic `аксиома безконечности` - **Gramatika / use:** feminine noun phrase. Genitive aksiomy bezkonečnosti. The source names but does not formulate the axiom; do not infer a particular set-theoretic or type-theoretic formulation without context. - **Argumentacija / rationale:** The named historical axiom merits a dedicated searchable head. It reuses the direct axiom lemma and the edition's established bezkoneč- infinity family while preserving national ne-/bes-/bezkray- alternatives as comparanda. The frozen row's etymological bezkonėč- is explicitly normalized to the edition's standard bezkoneč- surface rather than misquoted as an exact lemma. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTRODUCTION` · lines 35-39 · Named Principia axiom in the qualified not-purely-logical discussion - **Evidence loci:** `OL-FOL-BEYOND-INTRODUCTION` lines 35-39 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1498]; dictionary_id=24180; lemma=aksioma; gloss=axiom (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6136]; dictionary_id=6520; lemma=bezkonėčny; gloss=endless, infinite, perpetual (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `aksioma nekonečnosti` — A strong West-Slavic and Ukrainian-family alternative, but it conflicts with the lane's established bezkoneč- infinity head. - **Neizvěstnost / uncertainty:** The source names but does not formulate the axiom, so the entry does not choose among historical or modern formal versions.; The frozen row attests etymological bezkonėčny; selected bezkoneč- is the edition/flavor-normalized surface. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source names but does not formulate the axiom, so the entry does not choose among historical or modern formal versions. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The frozen row attests etymological bezkonėčny; selected bezkoneč- is the edition/flavor-normalized surface. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The named axiom of infinity introduced in the Principia system and cited here without a formal statement as an example that may not appear purely logical.’, should ‘aksioma bezkonečnosti’ remain preferred over ‘aksioma nekonečnosti’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0228 · logic.axiom-reducibility - **Revizija / recording:** `OLISV-T0228-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **axiom of reducibility** — The historically specific Principia axiom of reducibility, cited here without formulation among axioms that by most standards do not appear purely logical. - **Medžuslovjansky / Interslavic:** `aksioma reducibilnosti`; lemma `aksioma reducibilnosti`; Cyrillic `аксиома редуцибилности` - **Gramatika / use:** feminine noun phrase. Genitive aksiomy reducibilnosti. Reserve the compound for the Russell-Whitehead historical axiom rather than generic reducibility claims. - **Argumentacija / rationale:** The historically specific name warrants a separate entry. Reducibilnost is the most transparent international compromise across the six traditions; the much stronger East- and West-Slavic native derivations remain visible as adverse comparison evidence. - **Uvěrjenost / status:** 0.67 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTRODUCTION` · lines 35-39 · Named Principia axiom in the qualified not-purely-logical discussion - **Evidence loci:** `OL-FOL-BEYOND-INTRODUCTION` lines 35-39 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1498]; dictionary_id=24180; lemma=aksioma; gloss=axiom (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14072]; dictionary_id=30601; lemma=redukcija; gloss=reduction (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `aksioma svodimosti` — The East-Slavic form is precise but weakly transparent across West and South Slavic traditions and lacks direct Interslavic lexical support. - **Neizvěstnost / uncertainty:** The frozen dictionary's redukcija row does not directly attest reducibilnost or the Russell-Whitehead sense.; Czech and Ukrainian historical terminology varies between international and native derivations. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary's redukcija row does not directly attest reducibilnost or the Russell-Whitehead sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Czech and Ukrainian historical terminology varies between international and native derivations. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The historically specific Principia axiom of reducibility, cited here without formulation among axioms that by most standards do not appear purely logical.’, should ‘aksioma reducibilnosti’ remain preferred over ‘aksioma svodimosti’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0229 · logic.predicate-quantification - **Revizija / recording:** `OLISV-T0229-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **quantification over predicates** — Quantification whose bound variables range over predicates, used here to characterize the boundary between first-order and second- or higher-order systems. - **Medžuslovjansky / Interslavic:** `kvantifikacija nad predikatami`; lemma `kvantifikacija nad predikatami`; Cyrillic `квантификација над предикатами` - **Gramatika / use:** feminine noun phrase. Genitive kvantifikacije nad predikatami; nad governs instrumental plural here and keeps the quantified-over relation explicit. - **Argumentacija / rationale:** The operation is not a duplicate of the quantifier or predicate heads: its added content is the range of the bound variables. Nad plus instrumental plural makes that relation explicit and aligns especially well with the South-Slavic comparison forms. - **Uvěrjenost / status:** 0.84 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTRODUCTION` · lines 40-44 · Predicate-quantification criterion in Quine's attributed objection - **Evidence loci:** `OL-FOL-BEYOND-INTRODUCTION` lines 40-44 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13292]; dictionary_id=36370; lemma=predikat; gloss=predicate (logic) (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kvantifikacija predikatov` — A bare genitive can obscure whether predicates are quantified, quantified over, or merely associated with the operation. - **Neizvěstnost / uncertainty:** The frozen dictionary lacks a direct kvantifikacija lemma; the operation head is an editorial derivation from established kvantifikator.; The Croatian dictionary comparison row renders logical predicate as tvrdnja, unlike the other traditions. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary lacks a direct kvantifikacija lemma; the operation head is an editorial derivation from established kvantifikator. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The Croatian dictionary comparison row renders logical predicate as tvrdnja, unlike the other traditions. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Quantification whose bound variables range over predicates, used here to characterize the boundary between first-order and second- or higher-order systems.’, should ‘kvantifikacija nad predikatami’ remain preferred over ‘kvantifikacija predikatov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0230 · logic.sort - **Revizija / recording:** `OLISV-T0230-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **sort** — A category of objects in a many-sorted language, determining the domain a variable ranges over and the permitted argument positions. - **Medžuslovjansky / Interslavic:** `sort`; lemma `sort`; Cyrillic `сорт` - **Gramatika / use:** masculine inanimate noun. Genitive sorta, plural sorty; use domen sorta and prěměnna někojego sorta. - **Argumentacija / rationale:** Sort is directly frozen and keeps the formal category distinct from the separate typing operation. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` · lines 19-26 · Definition of a sort by its associated object domain - **Evidence loci:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` lines 19-26 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9858]; dictionary_id=3223; lemma=sort; gloss=kind, sort (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/many-sorted-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 11, 19, 20, 22, 23, 24, 26, 29, 31, 32, 34, 45, 48, 52, 53, 54, 58, 64, 65, 67, 69 - **Alternativy / alternatives:** `rod` — Broadly intelligible but highly polysemous.; `tip` — Reserved here for the typing operation and liable to collapse sort/type distinctions. - **Neizvěstnost / uncertainty:** National formal-logic traditions often use type or kind cognates alongside sort. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National formal-logic traditions often use type or kind cognates alongside sort. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A category of objects in a many-sorted language, determining the domain a variable ranges over and the permitted argument positions.’, should ‘sort’ remain preferred over ‘rod’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0231 · logic.many-sorted - **Revizija / recording:** `OLISV-T0231-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **many-sorted logic** — A logical framework with multiple sorts, each carrying its own variables, quantifiers, and ordinarily identity, while functions and relations have sort profiles. - **Medžuslovjansky / Interslavic:** `mnogosortna logika`; lemma `mnogosortna logika`; Cyrillic `многосортна логика` - **Gramatika / use:** feminine adjective-noun phrase. Genitive mnogosortnoj logiky; the adjective agrees with feminine logika. - **Argumentacija / rationale:** The transparent compound preserves the source distinction between several sorts and a separate type profile. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` · lines 11-26 · Section head and framework description - **Evidence loci:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` lines 11-26 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9858]; dictionary_id=3223; lemma=sort; gloss=kind, sort (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11416]; dictionary_id=17077; lemma=mnogy; gloss=much, many, numerous (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/many-sorted-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 11, 19 - **Alternativy / alternatives:** `mnogotipna logika` — Collapses the source distinction between sorts and typing.; `mnogorodna logika` — Rod is broader and more polysemous than direct sort. - **Neizvěstnost / uncertainty:** The complete phrase is editorially normalized from pinned components, not a frozen dictionary headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete phrase is editorially normalized from pinned components, not a frozen dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logical framework with multiple sorts, each carrying its own variables, quantifiers, and ordinarily identity, while functions and relations have sort profiles.’, should ‘mnogosortna logika’ remain preferred over ‘mnogotipna logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0232 · logic.sort-typed - **Revizija / recording:** `OLISV-T0232-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **sort-typed** — Constrained by a profile of input and output sorts, especially for functions and relations in a many-sorted language. - **Medžuslovjansky / Interslavic:** `tipizovany`; lemma `tipizovany`; Cyrillic `типизованы` - **Gramatika / use:** hard passive adjective. Use tipizovana funkcija and tipizovano odnošenje; specify the profile with sortami or a genitive complement. - **Argumentacija / rationale:** A single adjective covers typed functions and relations without multiplying compositional heads; context supplies the sort profile. - **Uvěrjenost / status:** 0.73 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` · lines 23-24 and 30-34 · Sort profiles of functions, relations, and their argument positions - **Evidence loci:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` lines 23-24 and 30-34 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17844]; dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/many-sorted-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `sortovany` — Normally suggests sorting or ordering rather than assignment of a formal type profile.; `tipovy` — Does not clearly express that the object has been constrained by a profile. - **Neizvěstnost / uncertainty:** No direct frozen tipizovany headword was found; national usage varies between typed and sorted terminology. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct frozen tipizovany headword was found; national usage varies between typed and sorted terminology. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Constrained by a profile of input and output sorts, especially for functions and relations in a many-sorted language.’, should ‘tipizovany’ remain preferred over ‘sortovany’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0233 · logic.argument-position - **Revizija / recording:** `OLISV-T0233-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **argument position** — One ordered input slot of a function or relation, assigned a specified sort in a many-sorted signature. - **Medžuslovjansky / Interslavic:** `pozicija argumenta`; lemma `pozicija argumenta`; Cyrillic `позиција аргумента` - **Gramatika / use:** feminine noun phrase with genitive singular. Genitive pozicije argumenta; plural pozicije argumentov. - **Argumentacija / rationale:** Two direct international components make the ordered formal slot transparent across all comparison traditions. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` · lines 30-34 · First and second sorted argument slots of a binary relation - **Evidence loci:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` lines 30-34 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1079]; dictionary_id=19638; lemma=argument; gloss=argument (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13187]; dictionary_id=1225; lemma=pozicija; gloss=position (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/many-sorted-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `město argumenta` — Understandable but less specifically terminological.; `poredok argumenta` — Names order rather than one slot within the order. - **Neizvěstnost / uncertainty:** The direct components are stable, while national specialist traditions vary in case government and term order. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The direct components are stable, while national specialist traditions vary in case government and term order. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘One ordered input slot of a function or relation, assigned a specified sort in a many-sorted signature.’, should ‘pozicija argumenta’ remain preferred over ‘město argumenta’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0234 · logic.embed - **Revizija / recording:** `OLISV-T0234-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **embed** — Faithfully encode a many-sorted logical system inside first-order logic so that its relevant syntactic and semantic structure is preserved. - **Medžuslovjansky / Interslavic:** `vgraditi`; lemma `vgraditi`; Cyrillic `вградити` - **Gramatika / use:** transitive perfective verb. Perfective vgraditi; use vgraditi mnogosortnu logiku v logiku prvogo reda. The established imperfective family is vgradžati. - **Argumentacija / rationale:** The exact verb already has two accepted edition precedents and denotes a faithful inclusion more precisely than generic translation. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` · lines 44-63 · Predicate-guard encoding of many-sorted logic into first-order logic - **Evidence loci:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` lines 44-63 (RESOLVED); `OL-SET-INFINITE-DEDEKIND-ISV` line 42; accepted target SHA-256 DBDDC781B92AB580F9C6C4142D54C9A155E7F0DF1D2D1D6A3BABCE802DC5B8E3 (RESOLVED); `OL-FOL-THEORIES-EXPRESSING-RELATIONS-ISV` line 39; accepted target SHA-256 5D59221001D51AC7CFD0C338521999AB4CCE0E00A36BE3A755AC22869668AA30 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/many-sorted-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 45; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/infinite/dedekinds-proof.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 42; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/models-theories/expressing-relations.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `interpretovati` — Describes semantic interpretation, not necessarily a faithful encoding.; `prěvoditi` — Generic translation loses the embedding claim. - **Neizvěstnost / uncertainty:** The national full verbs are editorial specialist comparanda; no direct frozen vgraditi lemma is claimed. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The national full verbs are editorial specialist comparanda; no direct frozen vgraditi lemma is claimed. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Faithfully encode a many-sorted logical system inside first-order logic so that its relevant syntactic and semantic structure is preserved.’, should ‘vgraditi’ remain preferred over ‘interpretovati’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0235 · logic.quantifier-relativization - **Revizija / recording:** `OLISV-T0235-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **quantifier relativization** — Replacing a sorted quantifier by an ordinary quantifier guarded by a predicate that selects the intended sort domain. - **Medžuslovjansky / Interslavic:** `relativizacija kvantifikatorov`; lemma `relativizacija kvantifikatorov`; Cyrillic `релативизација квантификаторов` - **Gramatika / use:** feminine noun phrase with genitive plural. Genitive relativizacije kvantifikatorov; use relativizovati kvantifikator k predikatu when a verbal clause is needed. - **Argumentacija / rationale:** The international operation name precisely identifies predicate-guard restriction and composes with established kvantifikator. - **Uvěrjenost / status:** 0.8 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` · lines 44-53 · Explicit guard-predicate translation of a sorted universal quantifier - **Evidence loci:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` lines 44-53 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14176]; dictionary_id=35263; lemma=odnositeljny; gloss=relative (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/many-sorted-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `ograničenje kvantifikatorov` — Useful explanatory wording, but broader than guard-predicate relativization. - **Neizvěstnost / uncertainty:** The dictionary pins the relative family rather than a direct relativizacija headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary pins the relative family rather than a direct relativizacija headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Replacing a sorted quantifier by an ordinary quantifier guarded by a predicate that selects the intended sort domain.’, should ‘relativizacija kvantifikatorov’ remain preferred over ‘ograničenje kvantifikatorov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0236 · model-theory.disjoint-domains - **Revizija / recording:** `OLISV-T0236-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **disjoint domains** — The carrier domains of distinct sorts have empty pairwise intersections. - **Medžuslovjansky / Interslavic:** `vzajemno neprěsěčne domeny`; lemma `vzajemno neprěsěčne domeny`; Cyrillic `взајемно непрєсєчне домены` - **Gramatika / use:** plural adjective-noun phrase. Genitive vzajemno neprěsěčnyh domenov; use the singular explanatory clause domeny ne prěsěkaju se. - **Argumentacija / rationale:** The selected phrase states the required empty-intersection condition instead of weakening it to mere separateness. - **Uvěrjenost / status:** 0.78 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` · lines 13-17 and 54-58 · Disjoint sort domains and axioms enforcing their separation - **Evidence loci:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` lines 13-17 and 54-58 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15106]; dictionary_id=3990; lemma=odděľny; gloss=separate (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/many-sorted-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `odděľne domeny` — Separate does not by itself guarantee empty intersections.; `disjunktne domeny` — Precise but less accessible in public-facing prose than the transparent intersection family. - **Neizvěstnost / uncertainty:** The selected complete phrase is compositionally derived; the direct dictionary row supports only the weaker adverse alternative. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The selected complete phrase is compositionally derived; the direct dictionary row supports only the weaker adverse alternative. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The carrier domains of distinct sorts have empty pairwise intersections.’, should ‘vzajemno neprěsěčne domeny’ remain preferred over ‘odděľne domeny’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0237 · algebra.abelian-group - **Revizija / recording:** `OLISV-T0237-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **abelian group** — A group whose binary operation is commutative, named here as an example of a many-sorted object domain. - **Medžuslovjansky / Interslavic:** `Abelova grupa`; lemma `Abelova grupa`; Cyrillic `Абелова група` - **Gramatika / use:** feminine proper-name possessive phrase. Genitive Abelovoj grupy; plural Abelove grupy. Preserve Abel as the eponym in citations. - **Argumentacija / rationale:** The direct mathematical group head combines with the officially described -ov possessive pattern for a one-word masculine eponym. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` · lines 15-17 · Abelian groups as one example sort domain - **Evidence loci:** `OL-FOL-BEYOND-MANY-SORTED-LOGIC` lines 15-17 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[8040]; dictionary_id=1787; lemma=grupa; gloss=group (RESOLVED); `ISV-GRAMMAR-ADJ` lines 43-45; SHA-256 184348005ACB532868DAEB35DBFB7A8E05A493D550B4D6FA2E1A3BCFC906D84F (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/many-sorted-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `komutativna grupa` — A valid semantic synonym, but it replaces the source's eponym rather than translating it.; `abeleva grupa` — Less consistent with the established project and official -ov possessive pattern. - **Neizvěstnost / uncertainty:** The complete eponymic phrase is editorially composed; capitalization and national adjective vowels vary. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete eponymic phrase is editorially composed; capitalization and national adjective vowels vary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A group whose binary operation is commutative, named here as an example of a many-sorted object domain.’, should ‘Abelova grupa’ remain preferred over ‘komutativna grupa’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0238 · logic.comprehension-schema - **Revizija / recording:** `OLISV-T0238-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **comprehension schema** — The second-order axiom schema asserting a relation for each formula that defines its extension, with the relation variable not free in that formula. - **Medžuslovjansky / Interslavic:** `shema tvorjenja`; lemma `shema tvorjenja`; Cyrillic `схема творјења` - **Gramatika / use:** feminine noun phrase. Nominative shema tvorjenja; genitive shemy tvorjenja. Keep tvorjenje distinct from a generic formation rule. - **Argumentacija / rationale:** The source explicitly names a schema and distinguishes it from the broader derivation rules. Shema is a direct dictionary lemma; tvorjenje is a transparent productive nominalization and is kept separate from the existing naive set-comprehension entry. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 49-65 · Rule equivalence, comprehension axiom, and consistency warning - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 49-65 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=18814; lemma=shema; gloss=scheme (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3030; lemma=tvoriti; gloss=create, form (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 80 - **Alternativy / alternatives:** `naivna shema tvorjenja` — Already reserved for naive set comprehension and would erase the second-order distinction.; `pravilo tvorjenja` — Names a rule rather than the axiom schema itself. - **Neizvěstnost / uncertainty:** No direct dictionary headword for the specialist phrase; the existing canon distinguishes the set-theoretic naive schema.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct dictionary headword for the specialist phrase; the existing canon distinguishes the set-theoretic naive schema. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The second-order axiom schema asserting a relation for each formula that defines its extension, with the relation variable not free in that formula.’, should ‘shema tvorjenja’ remain preferred over ‘naivna shema tvorjenja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0239 · logic.impredicative - **Revizija / recording:** `OLISV-T0239-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **impredicative** — Allowing a definition whose quantifiers range over a totality that includes the object being defined. - **Medžuslovjansky / Interslavic:** `impredikativny`; lemma `impredikativny`; Cyrillic `импредикативны` - **Gramatika / use:** hard adjective. Use impredikativna shema (feminine), impredikativno opreděljenje (neuter), and impredikativny sistem (masculine). - **Argumentacija / rationale:** The international mathematical adjective is maximally transparent across the six comparison languages and directly preserves the source's self-inclusion criterion. It is marked derived because the bounded dictionary has no direct headword. - **Uvěrjenost / status:** 0.69 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 67-81 · Full comprehension and its impredicative/predicative contrast - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 67-81 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=20174; lemma=semantičny; gloss=semantic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `samopredikativny` — Suggests self-predication rather than quantification over the totality containing the defined relation.; `kružny` — Too broad and loses the formal impredicativity criterion. - **Neizvěstnost / uncertainty:** Specialist national spelling and the boundary between impredicative and circular vary by tradition.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Specialist national spelling and the boundary between impredicative and circular vary by tradition. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Allowing a definition whose quantifiers range over a totality that includes the object being defined.’, should ‘impredikativny’ remain preferred over ‘samopredikativny’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0240 · logic.predicative - **Revizija / recording:** `OLISV-T0240-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **predicative** — A comprehension restriction that forbids second-order quantifiers in the defining formula. - **Medžuslovjansky / Interslavic:** `predikativny`; lemma `predikativny`; Cyrillic `предикативны` - **Gramatika / use:** hard adjective. Use predikativna forma tvorjenja and predikativno opreděljenje; the adjective agrees with the noun. - **Argumentacija / rationale:** Predikativny is the established international counterpart to the source's restriction and transparently relates to the existing predikat canon entry. The target preserves the weaker-than-full qualification. - **Uvěrjenost / status:** 0.79 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 79-81 · Restriction to first-order defining formulas - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 79-81 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=36370; lemma=predikat; gloss=predicate (logic) (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `prvoredovy` — Describes first-order syntax but not the philosophical/formal predicativity restriction.; `neimpredikativny` — A negative paraphrase is less idiomatic and hides the positive historical term. - **Neizvěstnost / uncertainty:** The adjective is an editorial specialist extension rather than a direct dictionary lemma.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The adjective is an editorial specialist extension rather than a direct dictionary lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A comprehension restriction that forbids second-order quantifiers in the defining formula.’, should ‘predikativny’ remain preferred over ‘prvoredovy’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0241 · logic.full-second-order-semantics - **Revizija / recording:** `OLISV-T0241-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **full second-order semantics** — Second-order semantics in which, for every arity, the second-order part contains all relations on the first-order domain. - **Medžuslovjansky / Interslavic:** `polna semantika drugogo reda`; lemma `polna semantika drugogo reda`; Cyrillic `полна семантика другого реда` - **Gramatika / use:** feminine noun phrase. Genitive polnoj semantiky drugogo reda; use polna semantika when the order is already fixed. - **Argumentacija / rationale:** The phrase composes two direct dictionary heads and exactly mirrors the source's all-relations condition. The explicit order modifier prevents confusion with first-order semantics or full comprehension alone. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 83-98 and 116-127 · Full structures and completeness contrast - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 83-98 and 116-127 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3141; lemma=pȯlny; gloss=full (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35935; lemma=semantika; gloss=semantics (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 101 - **Alternativy / alternatives:** `standardna semantika` — The source itself uses standard as a competing label and the phrase would obscure the all-relations definition.; `vseobća semantika` — Does not identify the second-order/fullness condition. - **Neizvěstnost / uncertainty:** National literature alternates between full and standard labels; this canon records the definitional reading.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National literature alternates between full and standard labels; this canon records the definitional reading. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Second-order semantics in which, for every arity, the second-order part contains all relations on the first-order domain.’, should ‘polna semantika drugogo reda’ remain preferred over ‘standardna semantika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0242 · logic.weak-second-order-semantics - **Revizija / recording:** `OLISV-T0242-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **weak second-order semantics** — Second-order semantics allowing a sufficiently large but not necessarily full family of relations to satisfy the selected comprehension axioms. - **Medžuslovjansky / Interslavic:** `slabša semantika drugogo reda`; lemma `slabša semantika drugogo reda`; Cyrillic `слабша семантика другого реда` - **Gramatika / use:** feminine noun phrase. Genitive slabšej semantiky drugogo reda; use slabša semantika for the contrast with full semantics. - **Argumentacija / rationale:** Slabša is the established comparative form in the target and preserves the source's contrast between enough relations and all relations. The record keeps completeness claims tied to the weaker semantics rather than silently upgrading them. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 100-127 and 211-224 · Weak/standard semantics list and completeness result - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 100-127 and 211-224 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1341; lemma=slaby; gloss=weak, feeble (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35935; lemma=semantika; gloss=semantics (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nepolna semantika` — Negative wording is less transparent and can be mistaken for an incomplete theory.; `ograničena semantika` — Too broad: the source's defining condition is a relation-family size, not arbitrary restriction. - **Neizvěstnost / uncertainty:** Weak and Henkin terminology differ across national textbooks; the source-bounded label is retained.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Weak and Henkin terminology differ across national textbooks; the source-bounded label is retained. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Second-order semantics allowing a sufficiently large but not necessarily full family of relations to satisfy the selected comprehension axioms.’, should ‘slabša semantika drugogo reda’ remain preferred over ‘nepolna semantika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0243 · model-theory.second-order-part - **Revizija / recording:** `OLISV-T0243-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **second-order part** — For each arity, the family of relations assigned to the second-order variables of a second-order structure. - **Medžuslovjansky / Interslavic:** `čest drugogo reda`; lemma `čest drugogo reda`; Cyrillic `чест другого реда` - **Gramatika / use:** feminine noun phrase. Genitive česti drugogo reda; use čest to mean a component/part, not a mathematical set. - **Argumentacija / rationale:** Čest is used as an explanatory component label because the source explicitly decomposes a structure into parts. It avoids inventing a new carrier/domain sense while keeping the relation family visible. - **Uvěrjenost / status:** 0.66 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 83-98 · Structure decomposition into first- and second-order parts - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 83-98 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35935; lemma=semantika; gloss=semantics (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 97 - **Alternativy / alternatives:** `domen drugogo reda` — Would conflate the family of relations with the domain term already reserved for carriers.; `podstruktura` — Suggests a substructure with inherited operations, which the source does not assert. - **Neizvěstnost / uncertainty:** Some traditions call this a relation sort, Henkin component, or second-order range; no single frozen headword is claimed.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Some traditions call this a relation sort, Henkin component, or second-order range; no single frozen headword is claimed. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘For each arity, the family of relations assigned to the second-order variables of a second-order structure.’, should ‘čest drugogo reda’ remain preferred over ‘domen drugogo reda’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0244 · model-theory.categorical-description - **Revizija / recording:** `OLISV-T0244-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **categorical description** — A description whose models are unique up to isomorphism in the intended class. - **Medžuslovjansky / Interslavic:** `kategoričny opis`; lemma `kategoričny opis`; Cyrillic `категоричны опис` - **Gramatika / use:** masculine adjective-noun phrase. Genitive kategoričnogo opisa; use kategorično opisanije as the deverbal alternative in prose. - **Argumentacija / rationale:** Both components are direct dictionary entries, and the target uses the phrase in the model-theoretic sense. The definition is made explicit in the canon so the adjective is not read as merely emphatic. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 116-120 and 149-152 · Categorical descriptions of natural structures - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 116-120 and 149-152 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35597; lemma=kategoričny; gloss=categorical (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=20000; lemma=opis; gloss=description (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 151 - **Alternativy / alternatives:** `jednoznačny opis` — Uniqueness alone does not state uniqueness up to isomorphism.; `opis po kategorijah` — Changes the mathematical notion to a description by categories. - **Neizvěstnost / uncertainty:** The short phrase is context-dependent outside model theory; the source locator fixes its formal sense.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The short phrase is context-dependent outside model theory; the source locator fixes its formal sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A description whose models are unique up to isomorphism in the intended class.’, should ‘kategoričny opis’ remain preferred over ‘jednoznačny opis’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0245 · proof.recursion - **Revizija / recording:** `OLISV-T0245-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **recursion** — The method defining a function successively from a base value and a successor clause. - **Medžuslovjansky / Interslavic:** `rekursija`; lemma `rekursija`; Cyrillic `рекурсија` - **Gramatika / use:** feminine noun. Genitive rekursije; use obyčajna rekursija and rekursivno opreděliti where an adjective is needed. - **Argumentacija / rationale:** Rekursija is the broadly recognizable international mathematical noun and matches the source's base-and-successor construction. It is provisional because the bounded dictionary snapshot contains no direct recursion row. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 153-157 · Definition of f by ordinary recursion on the natural numbers - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 153-157 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=17215; lemma=čislo; gloss=number (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `povtorno opreděljenje` — An explanatory paraphrase, not the standard mathematical method name.; `indukcija` — Induction proves properties; it does not define the function in this passage. - **Neizvěstnost / uncertainty:** Polish and Czech prefer their own established cognates; the international form is chosen for cross-Slavic recognition.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish and Czech prefer their own established cognates; the international form is chosen for cross-Slavic recognition. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The method defining a function successively from a base value and a successor clause.’, should ‘rekursija’ remain preferred over ‘povtorno opreděljenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0246 · algebra.homomorphism - **Revizija / recording:** `OLISV-T0246-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **homomorphism** — A structure-preserving map between algebraic or relational structures. - **Medžuslovjansky / Interslavic:** `homomorfizm`; lemma `homomorfizm`; Cyrillic `хомоморфизм` - **Gramatika / use:** masculine noun. Genitive homomorfizma; use homomorfizmom after jest and homomorfizmy in the plural. - **Argumentacija / rationale:** The international Greek-derived form is unambiguous in algebra and is the natural name for the source's structure-preserving map. The record does not infer additional algebraic operations beyond the source's statement. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 166-167 · Structure-preserving conclusion for f - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 166-167 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=16363; lemma=struktura; gloss=structure (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1485; lemma=tělo; gloss=body (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 166 - **Alternativy / alternatives:** `sȯhranitelj struktury` — Descriptive but not the established mathematical noun.; `izomorfizm` — Too strong: the source has not yet established bijectivity plus inverse preservation. - **Neizvěstnost / uncertainty:** No direct frozen homomorphism row was found in the bounded dictionary; national inflection varies.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct frozen homomorphism row was found in the bounded dictionary; national inflection varies. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A structure-preserving map between algebraic or relational structures.’, should ‘homomorfizm’ remain preferred over ‘sȯhranitelj struktury’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0247 · set.proper-subset - **Revizija / recording:** `OLISV-T0247-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **proper subset** — A subset that is not equal to the set containing it. - **Medžuslovjansky / Interslavic:** `vlastno podmnožstvo`; lemma `vlastno podmnožstvo`; Cyrillic `властно подмножство` - **Gramatika / use:** neuter adjective-noun phrase. Genitive vlastnogo podmnožstva; use A jest vlastnym podmnožstvom B for the strict inclusion relation. - **Argumentacija / rationale:** The direct mathematical subset row anchors the head, while vlastno states the strictness required by the source. This keeps the Dedekind criterion distinct from an arbitrary subset. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 169-181 · Dedekind characterization of infinite structures - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 169-181 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=36456; lemma=podmnožstvo; gloss=subset (mathematics) (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 175 - **Alternativy / alternatives:** `strogy podmnožstvo` — Strogy is already used for strict syntactic subforms and is less idiomatic for set inclusion.; `podmnožstvo s konečnym dopolnjenjem` — Describes a cofinite subset, not every proper subset. - **Neizvěstnost / uncertainty:** The complete phrase is compositional; national mathematical adjectives vary.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete phrase is compositional; national mathematical adjectives vary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A subset that is not equal to the set containing it.’, should ‘vlastno podmnožstvo’ remain preferred over ‘strogy podmnožstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0248 · relation.well-ordering - **Revizija / recording:** `OLISV-T0248-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **well-ordering** — A linear ordering in which every non-empty subset has a least element. - **Medžuslovjansky / Interslavic:** `dobro oporędčeny poredok`; lemma `dobro oporędčeny poredok`; Cyrillic `добро опоредчены поредок` - **Gramatika / use:** masculine noun phrase. Use dobro oporędčeny poredok; genitive dobro oporędčenogo poredka. The target's dobro uporedane is a prose variant. - **Argumentacija / rationale:** The pinned dictionary directly supplies oporędčeny, and the source defines the notion by least elements. The canonical head normalizes the target's inflected prose wording without changing the formula. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 183-190 · Well-ordering formula and least-element explanation - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 183-190 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=20002; lemma=oporędčeny; gloss=well-ordered (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3145; lemma=porędȯk; gloss=order, sequence (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `linearny poredok` — Only states linearity and omits the least-element condition.; `dobro uporedane množstvo` — Names a well-ordered set rather than the ordering relation/class. - **Neizvěstnost / uncertainty:** The phrase dobro oporędčeny poredok is a transparent editorial normalization, not a single dictionary headword.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The phrase dobro oporędčeny poredok is a transparent editorial normalization, not a single dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A linear ordering in which every non-empty subset has a least element.’, should ‘dobro oporędčeny poredok’ remain preferred over ‘linearny poredok’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0249 · relation.least-element - **Revizija / recording:** `OLISV-T0249-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **least element** — The minimum member of a non-empty subset under the relevant ordering. - **Medžuslovjansky / Interslavic:** `najmenši element`; lemma `najmenši element`; Cyrillic `најменши елемент` - **Gramatika / use:** masculine adjective-noun phrase. Genitive najmenšego elementa; use najmenši element množstva for a scoped set. - **Argumentacija / rationale:** Both components have direct dictionary support, and the source formula explicitly quantifies the least member. The head is retained as a phrase so agreement remains visible in prose. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 185-190 · Least-element clause in the well-ordering explanation - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 185-190 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=9381; lemma=najmėnši; gloss=smallest (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=17372; lemma=element; gloss=element (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 188 - **Alternativy / alternatives:** `minimalny element` — Minimalny is used for proof systems and does not necessarily mean least under an order.; `najmėnje element` — The adverb cannot modify a noun in this construction. - **Neizvěstnost / uncertainty:** Czech and some South-Slavic traditions use a root equivalent to first/minimum; the selected phrase remains broadly legible.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Czech and some South-Slavic traditions use a root equivalent to first/minimum; the selected phrase remains broadly legible. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The minimum member of a non-empty subset under the relevant ordering.’, should ‘najmenši element’ remain preferred over ‘minimalny element’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0250 · graph.connectedness - **Revizija / recording:** `OLISV-T0250-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **graph connectedness** — The property that a graph has no non-trivial separation of its vertices into parts with no crossing edge. - **Medžuslovjansky / Interslavic:** `povezanost grafov`; lemma `povezanost grafov`; Cyrillic `повезаност графов` - **Gramatika / use:** feminine noun phrase. Genitive povezanosti grafov; use povezaně grafy for the corresponding adjective phrase. - **Argumentacija / rationale:** Povezanost is the transparent South/East-Slavic nominalization of the connected relation, and graf is already an international mathematical stem. The source's one-direction edge formula is preserved as written and not silently strengthened. - **Uvěrjenost / status:** 0.73 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 191-198 · Graph connectedness example and separation formula - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 191-198 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35684; lemma=grafičny; gloss=graphic (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3512; lemma=svęzany; gloss=connected, related (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 190 - **Alternativy / alternatives:** `sȯedinjenje grafov` — Suggests a construction joining graphs, not an internal graph property.; `konečnost grafov` — Confuses connectedness with finiteness. - **Neizvěstnost / uncertainty:** The source formula only blocks one directed crossing orientation; this record names the intended prose notion while preserving that adverse formal boundary.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source formula only blocks one directed crossing orientation; this record names the intended prose notion while preserving that adverse formal boundary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The property that a graph has no non-trivial separation of its vertices into parts with no crossing edge.’, should ‘povezanost grafov’ remain preferred over ‘sȯedinjenje grafov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0251 · set.even-cardinality - **Revizija / recording:** `OLISV-T0251-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **even cardinality** — Having a finite number of elements divisible by two. - **Medžuslovjansky / Interslavic:** `parna velikost`; lemma `parna velikost`; Cyrillic `парна великост` - **Gramatika / use:** feminine adjective-noun phrase. Genitive parnoj velikosti; use čislo parno and parna velikost množstva according to scope. - **Argumentacija / rationale:** The source deliberately leaves this as an exercise; the canon records a usable name without pretending the exercise has been solved. Parna is directly pinned, while velikost preserves the edition's established size vocabulary. - **Uvěrjenost / status:** 0.76 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 199-202 · Exercise about finite structures with an even-sized domain - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 199-202 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=29861; lemma=parny; gloss=even (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=17215; lemma=čislo; gloss=number (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `parno čislo` — Names an even integer, not the cardinality of a domain.; `parna kardinalnost` — Internationally precise but less transparent to readers who know only the basic size vocabulary. - **Neizvěstnost / uncertainty:** The term cardinality has competing national roots; the target intentionally uses the accessible size phrasing.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The term cardinality has competing national roots; the target intentionally uses the accessible size phrasing. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Having a finite number of elements divisible by two.’, should ‘parna velikost’ remain preferred over ‘parno čislo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0252 · algebra.ordered-field - **Revizija / recording:** `OLISV-T0252-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **ordered field** — A field equipped with an order compatible with its addition and multiplication. - **Medžuslovjansky / Interslavic:** `uporędženo tělo`; lemma `uporędženo tělo`; Cyrillic `упореджено тєло` - **Gramatika / use:** neuter adjective-noun phrase. Genitive uporędženogo těla; use polno uporędženo tělo for the complete ordered-field phrase. - **Argumentacija / rationale:** Tělo is the established Interslavic algebraic carrier for field, while the ordering component follows the pinned oporędčeny family. The source's phrase is reproduced as a descriptive example, not a full axiomatization. - **Uvěrjenost / status:** 0.7 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 199-202 · Categorical description of the reals - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 199-202 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=20002; lemma=oporędčeny; gloss=well-ordered (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1485; lemma=tělo; gloss=body (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 199 - **Alternativy / alternatives:** `uporędženo polje` — Polje is a field component in several languages but is already used for field as a generic area and is less stable in the inherited canon.; `linearna algebraična struktura` — Too broad and omits the field axioms. - **Neizvěstnost / uncertainty:** The complete phrase is editorial and the source does not list compatibility axioms; no stronger mathematical claim is made.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete phrase is editorial and the source does not list compatibility axioms; no stronger mathematical claim is made. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A field equipped with an order compatible with its addition and multiplication.’, should ‘uporędženo tělo’ remain preferred over ‘uporędženo polje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0253 · number.rational - **Revizija / recording:** `OLISV-T0253-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **rational number** — A number representable as a quotient of integers with non-zero denominator. - **Medžuslovjansky / Interslavic:** `racionaľno čislo`; lemma `racionaľno čislo`; Cyrillic `рационално число` - **Gramatika / use:** neuter adjective-noun phrase. Plural racionaľna čisla; genitive racionaľnogo čisla. Use the spelling racionaľny in prose adjectives. - **Argumentacija / rationale:** Both components are directly pinned and the source uses the phrase in its standard mathematical sense. The target surface racionalna čisla is the plural inflection of this head. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 199-202 · Rationals included in the ordered-field description - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 199-202 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=16337; lemma=racionaľny; gloss=rational (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=17215; lemma=čislo; gloss=number (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `lomno čislo` — Can be read as any fractional-looking number and is not the standard field-theoretic class name.; `racionaľnost` — Names the property rather than an individual number. - **Neizvěstnost / uncertainty:** Some national languages use a distinct 'quotient/fraction' root; the international adjective remains highly legible.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Some national languages use a distinct 'quotient/fraction' root; the international adjective remains highly legible. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A number representable as a quotient of integers with non-zero denominator.’, should ‘racionaľno čislo’ remain preferred over ‘lomno čislo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0254 · number.real - **Revizija / recording:** `OLISV-T0254-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **real number** — An element of the complete ordered field used as the real-number structure. - **Medžuslovjansky / Interslavic:** `reaľno čislo`; lemma `reaľno čislo`; Cyrillic `реално число` - **Gramatika / use:** neuter adjective-noun phrase. Plural reaľna čisla; genitive reaľnogo čisla. Keep real as the adjective root distinct from reality nouns. - **Argumentacija / rationale:** Reaľny is directly present in the dictionary and is the accessible pan-Slavic choice for the source's real-number phrase. The canon records the complete ordered-field qualification separately. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 199-202 · Real numbers and their categorical ordered-field description - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 199-202 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=2216; lemma=reaľny; gloss=real, actual (real) (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=17215; lemma=čislo; gloss=number (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `stvаŕno čislo` — Stvaŕny emphasizes actual/existing and is not the standard mathematical class name.; `čislo realnosti` — A literal genitive construction is opaque and risks a philosophical rather than numerical reading. - **Neizvěstnost / uncertainty:** East-Slavic mathematical usage often prefers the 'material/actual' root; the selected international form remains documented in the dictionary.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: East-Slavic mathematical usage often prefers the 'material/actual' root; the selected international form remains documented in the dictionary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An element of the complete ordered field used as the real-number structure.’, should ‘reaľno čislo’ remain preferred over ‘stvаŕno čislo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0255 · logic.relation-variable - **Revizija / recording:** `OLISV-T0255-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **relation variable** — A variable ranging over relations of a fixed arity in a second-order language. - **Medžuslovjansky / Interslavic:** `prěměnna odnošenja`; lemma `prěměnna odnošenja`; Cyrillic `прємєнна одношења` - **Gramatika / use:** feminine noun phrase. Plural prěměnne odnošenja; genitive prěměnnoj odnošenja. The arity is stated with a městnost adjective. - **Argumentacija / rationale:** The phrase combines the two direct logical heads already established in the canon and exactly states the source's fixed-arity range. It makes the second-order variable status explicit without introducing a separate relation-domain head. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` · lines 13-23 and 30-35 · Relation variables, arity, and quantifier rules - **Evidence loci:** `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 13-23 and 30-35 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35526; lemma=prěměnna; gloss=variable (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1992; lemma=odnošeńje; gloss=relation, relationship, ratio (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `prěměnna predikata` — Too narrow: the source ranges over arbitrary relations, not only predicates.; `odnošeńny term` — Loses the variable category and conflicts with the source's term/inference distinction. - **Neizvěstnost / uncertainty:** National traditions alternate relation variable and predicate variable; the source's arity condition motivates the broader term.; The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National traditions alternate relation variable and predicate variable; the source's arity condition motivates the broader term. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record remains preserved as adverse provenance for the target/source locator mismatch. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A variable ranging over relations of a fixed arity in a second-order language.’, should ‘prěměnna odnošenja’ remain preferred over ‘prěměnna predikata’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0256 · logic.type - **Revizija / recording:** `OLISV-T0256-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **type** — A syntactic label classifying the objects over which higher-order terms and variables range. - **Medžuslovjansky / Interslavic:** `tip`; lemma `tip`; Cyrillic `тип` - **Gramatika / use:** masculine noun. Masculine tip; plural tipy, genitive tipa. Keep the head distinct from sort when the source explicitly uses higher-order types. - **Argumentacija / rationale:** Tip is a direct dictionary lemma and the source explicitly introduces it as the replacement for the informal sort labels. The dedicated entry fixes the higher-order syntactic sense while preserving the broader everyday kind sense in the dictionary. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 21-32 · Basic type terminology and its object-classification sense - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 21-32 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 41, 44, 45, 47, 50, 51, 52, 54, 55, 56, 59, 61, 62, 64, 65, 66, 67, 68, 70, 71, 72, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 89, 90, 105, 108, 109, 113, 116, 117, 121, 123, 126, 131, 135, 136 - **Alternativy / alternatives:** `sort` — Sort is retained for the earlier many-sorted vocabulary, but would erase the source's deliberate type/sort distinction. - **Neizvěstnost / uncertainty:** The word tip is polysemous in general language; the source context supplies the specialist restriction.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The word tip is polysemous in general language; the source context supplies the specialist restriction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A syntactic label classifying the objects over which higher-order terms and variables range.’, should ‘tip’ remain preferred over ‘sort’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0257 · logic.finite-type - **Revizija / recording:** `OLISV-T0257-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **finite type** — A type generated from the base natural-number type by the finite type-construction clauses. - **Medžuslovjansky / Interslavic:** `konečny tip`; lemma `konečny tip`; Cyrillic `конечны тип` - **Gramatika / use:** masculine adjective-noun phrase. Plural konečne tipy; genitive konečnogo tipa. Use the normalized konečny spelling in the edition, although the dictionary row is konėčny. - **Argumentacija / rationale:** The source defines a closed class of finite types. The dictionary supplies the type head, a finiteness noun, and an adjective family; the specialist finite sense is fixed by the Open Logic induction clauses rather than by the general gloss final/end alone. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 23-28 and 44-55 · Finite type constructor and inductive finite-type definition - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 23-28 and 44-55 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8557; lemma=konėčny; gloss=final, end, ultimate (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=17676; lemma=konėčnosť; gloss=finiteness, finality (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 45, 64, 66, 68 - **Alternativy / alternatives:** `konėčnosť tip` — An abstract finiteness noun cannot serve as the attributive adjective required by the source's formation rule.; `ograničeny tip` — Would suggest a bounded cardinality rather than the inductively generated type class. - **Neizvěstnost / uncertainty:** The dictionary's lemma is konėčny while the edition normalizes the surface to konečny; this orthographic normalization is not a claim about national spelling.; The adjective row konėčny is polysemous; konėčnosť supplies the explicit finiteness component.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary's lemma is konėčny while the edition normalizes the surface to konečny; this orthographic normalization is not a claim about national spelling. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The adjective row konėčny is polysemous; konėčnosť supplies the explicit finiteness component. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A type generated from the base natural-number type by the finite type-construction clauses.’, should ‘konečny tip’ remain preferred over ‘konėčnosť tip’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0258 · logic.truth-value - **Revizija / recording:** `OLISV-T0258-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **truth value** — An object of the distinguished type Omega representing true or false in the higher-order language. - **Medžuslovjansky / Interslavic:** `cěnnost istiny`; lemma `cěnnost istiny`; Cyrillic `цєнност истины` - **Gramatika / use:** feminine noun phrase. Feminine cěnnost; genitive cěnnosti istiny. In the target prose use cěnnostij istiny after the instrumental preposition. - **Argumentacija / rationale:** Cěnnost istiny reuses the established truth-value phrase. The value and truth components are directly pinned, while the source's Omega true/false interpretation fixes the specialist sense. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 32-38 and 95-100 · Omega type, true/false objects, and proof-system extension - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 32-38 and 95-100 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=2281; lemma=cěnnosť; gloss=value (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=7935; lemma=istina; gloss=truth (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `istinnost` — Names truth-functional behavior or truthiness and is already used in a different canon entry.; `vrědnost istiny` — The vrěd family is not the pinned dictionary head for value and would introduce an unsupported variant. - **Neizvěstnost / uncertainty:** The direct dictionary value row is spelled cěnnosť; the edition's cěnnost surface is a documented normalized form.; The established T0013 truth-value lineage is reused; this record does not treat tip as a lexical component.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The direct dictionary value row is spelled cěnnosť; the edition's cěnnost surface is a documented normalized form. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The established T0013 truth-value lineage is reused; this record does not treat tip as a lexical component. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An object of the distinguished type Omega representing true or false in the higher-order language.’, should ‘cěnnost istiny’ remain preferred over ‘istinnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0259 · function.functional - **Revizija / recording:** `OLISV-T0259-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **functional** — A higher-type function whose arguments are themselves functions and whose result is a number or other object. - **Medžuslovjansky / Interslavic:** `funkcional`; lemma `funkcional`; Cyrillic `функционал` - **Gramatika / use:** masculine noun. Plural funkcionaly; genitive funkcionala. The adjective funkcionaľny remains available when the source modifies another noun. - **Argumentacija / rationale:** The source uses functional as a noun for functions taking functions to numbers. Funkcional is a transparent derived noun from the direct funkcija/funkcionaľny family and preserves the target's plural funkcionaly. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 34-38 · Higher-type functionals example - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 34-38 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1289; lemma=funkcija; gloss=function (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35303; lemma=funkcionaľny; gloss=functional (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 55 - **Alternativy / alternatives:** `funkcionaľny` — This is an adjective in the pinned dictionary and cannot by itself name the higher-type object.; `funkcija funkcij` — Describes a general function between function spaces but loses the specialist functional noun used by the source. - **Neizvěstnost / uncertainty:** The noun is derived rather than directly listed; national traditions alternate functional, functional, and operator terminology.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The noun is derived rather than directly listed; national traditions alternate functional, functional, and operator terminology. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A higher-type function whose arguments are themselves functions and whose result is a number or other object.’, should ‘funkcional’ remain preferred over ‘funkcionaľny’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0260 · function.application - **Revizija / recording:** `OLISV-T0260-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **function application** — The operation of applying a function of type tau to an argument of type tau, yielding a value of the result type. - **Medžuslovjansky / Interslavic:** `aplikacija funkcije`; lemma `aplikacija funkcije`; Cyrillic `апликација функције` - **Gramatika / use:** feminine noun phrase. Feminine aplikacija; genitive aplikacije funkcije. Reserve priměnjeńje for application of a method and keep this operation explicit. - **Argumentacija / rationale:** Aplikacija funkcije follows the target and the international application family for the formal operation, while the dictionary's priměnjeńje row is retained as an explicit adverse distinction for applying a method. The source's type rule fixes the specialist sense. - **Uvěrjenost / status:** 0.79 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 29-32 and 65-67 and 108-110 · Function typing, application operation, and weak-semantics operations - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 29-32 and 65-67 and 108-110 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=36574; lemma=aplikacija; gloss=application (software), app (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1289; lemma=funkcija; gloss=function (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35515; lemma=priměnjeńje; gloss=application (of a method) (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `priměnjeńje funkcije` — The dictionary supports priměnjeńje for methods, but using it here would collapse operation-of-a-function with methodological application.; `vyzov funkcije` — A call/invocation term is narrower than the typed application operation in the source. - **Neizvěstnost / uncertainty:** The dictionary's direct aplikacija sense is software-oriented; the mathematical operation is an editorial extension supported by cross-Slavic usage.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary's direct aplikacija sense is software-oriented; the mathematical operation is an editorial extension supported by cross-Slavic usage. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The operation of applying a function of type tau to an argument of type tau, yielding a value of the result type.’, should ‘aplikacija funkcije’ remain preferred over ‘priměnjeńje funkcije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0261 · function.projection - **Revizija / recording:** `OLISV-T0261-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **projection** — The operation selecting a component of a tuple or product object, such as p1 or p2. - **Medžuslovjansky / Interslavic:** `projekcija`; lemma `projekcija`; Cyrillic `пројекција` - **Gramatika / use:** feminine noun. Feminine projekcija; plural projekcije, genitive projekcije. Use the same head for tuple projections and deterministic script projection only when qualified. - **Argumentacija / rationale:** Projekcija is directly listed with the same mathematical sense and exactly names the p1/p2 operations in the source. The canon keeps the function-domain sense distinct from the unrelated Cyrillic projection mechanism by context. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 49-55 and 70-82 · Product types, tuple components, and p1/p2 projections - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 49-55 and 70-82 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=5651; lemma=projekcija; gloss=projection (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `izbor komponenty` — Describes the result informally and loses the established operation name.; `odraz` — Can mean reflection or image and is semantically ambiguous in this product-type context. - **Neizvěstnost / uncertainty:** National mathematical usage alternates projection and component map; the direct dictionary head gives the edition a stable international form.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National mathematical usage alternates projection and component map; the direct dictionary head gives the edition a stable international form. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The operation selecting a component of a tuple or product object, such as p1 or p2.’, should ‘projekcija’ remain preferred over ‘izbor komponenty’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0262 · logic.lambda-term - **Revizija / recording:** `OLISV-T0262-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **lambda term** — A term formed by abstraction, written with a lambda binder and denoting a function. - **Medžuslovjansky / Interslavic:** `lambda-term`; lemma `lambda-term`; Cyrillic `ламбда-терм` - **Gramatika / use:** masculine noun phrase. Use lambda-term, plural lambda-termy; retain lambda as an international technical symbol and decline term regularly. - **Argumentacija / rationale:** The source introduces lambda abstraction as a term-forming operation. The international lambda-term compound is maximally searchable across logic literature, while the direct term/izraz rows support its grammatical head without pretending that lambda is an ordinary lexical lemma. - **Uvěrjenost / status:** 0.84 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 67-68 and 82-89 · Lambda abstraction, function denotation, and comprehension explanation - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 67-68 and 82-89 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8115; lemma=izraz; gloss=term, phrase, expression (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=2091; lemma=termin; gloss=term (phrase) (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 21 - **Alternativy / alternatives:** `lambda-izraz` — Izraz is broad and can suggest any expression, weakening the source's typed-term status.; `abstraktna funkcija` — Names the denotation rather than the syntactic term. - **Neizvěstnost / uncertainty:** Lambda is retained as an international symbol; no direct Interslavic dictionary head for the compound is claimed.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Lambda is retained as an international symbol; no direct Interslavic dictionary head for the compound is claimed. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A term formed by abstraction, written with a lambda binder and denoting a function.’, should ‘lambda-term’ remain preferred over ‘lambda-izraz’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0263 · logic.higher-type-quantification - **Revizija / recording:** `OLISV-T0263-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **higher-type quantification** — Quantification over variables whose types may be functions, products, or other higher finite types. - **Medžuslovjansky / Interslavic:** `kvantifikacija nad vyššimi tipami`; lemma `kvantifikacija nad vyššimi tipami`; Cyrillic `квантификација над вышшими типами` - **Gramatika / use:** feminine noun phrase. Feminine kvantifikacija; use nad vyššimi tipami with the instrumental plural after nad. Keep vyšši as the normalized higher adjective. - **Argumentacija / rationale:** The source names higher-type quantification as a distinct formula-forming resource. The phrase composes the established kvantifikacija family with the higher/type components and makes the quantifier's range explicit. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 87-93 · Formula formation from identity, connectives, and higher-type quantification - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 87-93 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=20302; lemma=vysši; gloss=higher (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kvantifikacija funkcij` — Too narrow: variables may range over products and other higher types, not only functions.; `vyššorędna kvantifikacija` — A compressed calque obscures whether higher modifies order, type, or the quantifier itself. - **Neizvěstnost / uncertainty:** The dictionary row is vysši; the edition's vyšši is a regular normalized surface used by the existing higher-type canon.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary row is vysši; the edition's vyšši is a regular normalized surface used by the existing higher-type canon. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Quantification over variables whose types may be functions, products, or other higher finite types.’, should ‘kvantifikacija nad vyššimi tipami’ remain preferred over ‘kvantifikacija funkcij’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0264 · logic.equation - **Revizija / recording:** `OLISV-T0264-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **equation** — A displayed equality governing the terms introduced by the higher-order term constructors. - **Medžuslovjansky / Interslavic:** `ravnost`; lemma `ravnost`; Cyrillic `равност` - **Gramatika / use:** feminine noun. Feminine ravnost; plural ravnosti, genitive ravnosti. The dictionary lemma is råvnosť (with U+00E5 å); the edition uses the normalized ravnost surface. - **Argumentacija / rationale:** The source calls the displayed recursive identities equations, while the pinned dictionary directly supplies the equality family. Ravnost is therefore recorded as the edition's normalized equality/equation head, with the source locator preserving the distinction between an equation as a display and identity as a logical relation. - **Uvěrjenost / status:** 0.85 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 75-93 · Recursive equations and the equations governing higher-order terms - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 75-93 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=30091; lemma=råvnosť; gloss=equality, evenness, parity (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 93, 110 - **Alternativy / alternatives:** `identičnost` — Already reserved for the logical identity relation and would collapse equation syntax with identity semantics.; `råvnosť` — The literal dictionary spelling is preserved in evidence, but the current standard-Latin surface normalizes å to a for this edition. - **Neizvěstnost / uncertainty:** The English word equation is often lexicalized as a separate root from equality; the selected head is an editorial bridge and not a claim of one-to-one national equivalence.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The English word equation is often lexicalized as a separate root from equality; the selected head is an editorial bridge and not a claim of one-to-one national equivalence. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A displayed equality governing the terms introduced by the higher-order term constructors.’, should ‘ravnost’ remain preferred over ‘identičnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0265 · logic.simple-type-theory - **Revizija / recording:** `OLISV-T0265-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **simple theory of types** — The type-theoretic proof system associated with Church's 1930s formulation and the Omega truth-value extension. - **Medžuslovjansky / Interslavic:** `prosta teorija tipov`; lemma `prosta teorija tipov`; Cyrillic `проста теорија типов` - **Gramatika / use:** feminine noun phrase. Feminine teorija; genitive proste teorije tipov. Use prosta as the normalized adjective agreeing with teorija. - **Argumentacija / rationale:** The source gives a named historical system, so the canon records a transparent compound built from the direct simple, theory, and type rows. The formal type-theoretic content remains explicit rather than being inferred from a generic logic label. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 95-100 · Church's simple theory of types - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 95-100 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=2334; lemma=prosty; gloss=simple, easy, plain (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=4739; lemma=teorija; gloss=theory (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 117 - **Alternativy / alternatives:** `teorija prostyh tipov` — Changes simple as a property of the theory into a potentially restrictive subclass of types.; `Churchova teorija` — Drops the formal type-theoretic content and is not self-describing for new readers. - **Neizvěstnost / uncertainty:** The historical proper-name attribution is not encoded in the lexical head; readers should retain the source's Church attribution.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The historical proper-name attribution is not encoded in the lexical head; readers should retain the source's Church attribution. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The type-theoretic proof system associated with Church's 1930s formulation and the Omega truth-value extension.’, should ‘prosta teorija tipov’ remain preferred over ‘teorija prostyh tipov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0266 · logic.higher-type-semantics - **Revizija / recording:** `OLISV-T0266-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **higher-type semantics** — An interpretation framework assigning domains and operations to each finite type. - **Medžuslovjansky / Interslavic:** `semantika vyšših tipov`; lemma `semantika vyšših tipov`; Cyrillic `семантика вышших типов` - **Gramatika / use:** feminine noun phrase. Feminine semantika; genitive semantiky vyšših tipov. Use višši only in quoted national comparanda; the edition uses vyšši. - **Argumentacija / rationale:** The source contrasts several versions of semantics for the higher-type system. The phrase composes the already established semantika and higher-type families and serves as the neutral umbrella before full and weak variants are distinguished. - **Uvěrjenost / status:** 0.92 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 102-112 · Alternative versions of higher-type semantics - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 102-112 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=20302; lemma=vysši; gloss=higher (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35935; lemma=semantika; gloss=semantics (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `interpretacija vyšših tipov` — Interpretation is a model assignment, not the entire semantic framework distinguished by the source.; `semantika funkcij` — Too narrow for product and base types. - **Neizvěstnost / uncertainty:** Higher-type terminology is conventionally plural in the genitive; the exact national adjective order varies.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Higher-type terminology is conventionally plural in the genitive; the exact national adjective order varies. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An interpretation framework assigning domains and operations to each finite type.’, should ‘semantika vyšših tipov’ remain preferred over ‘interpretacija vyšših tipov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0267 · logic.full-higher-type-semantics - **Revizija / recording:** `OLISV-T0267-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **full higher-type semantics** — The semantics in which a function type ranges over all functions between the corresponding lower-type domains. - **Medžuslovjansky / Interslavic:** `polna semantika vyšših tipov`; lemma `polna semantika vyšših tipov`; Cyrillic `полна семантика вышших типов` - **Gramatika / use:** feminine noun phrase. Feminine semantika; genitive polnoj semantiky vyšših tipov. The adjective polna agrees with semantika. - **Argumentacija / rationale:** Polna directly names the source's full/all-functions branch and is the natural qualifier of the higher-type semantics umbrella. The pȯlny dictionary row is normalized to the edition's polny family, while the source's universal all-functions condition remains explicit. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 102-107 · Full semantics and all-functions range condition - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 102-107 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3141; lemma=pȯlny; gloss=full (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=20302; lemma=vysši; gloss=higher (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35935; lemma=semantika; gloss=semantics (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `vseobća semantika` — Suggests generality rather than the precise quantification over every function between domains.; `celosna interpretacija` — Changes semantics into interpretation and hides the type-indexed domain structure. - **Neizvěstnost / uncertainty:** The dictionary lemma pȯlny contains a historical vowel mark; the normalized polna surface is an edition convention.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary lemma pȯlny contains a historical vowel mark; the normalized polna surface is an edition convention. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The semantics in which a function type ranges over all functions between the corresponding lower-type domains.’, should ‘polna semantika vyšših tipov’ remain preferred over ‘vseobća semantika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0268 · logic.weak-higher-type-semantics - **Revizija / recording:** `OLISV-T0268-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **weak higher-type semantics** — A type-indexed semantics with selected domains and application/projection operations rather than all possible functions. - **Medžuslovjansky / Interslavic:** `slabša semantika vyšših tipov`; lemma `slabša semantika vyšših tipov`; Cyrillic `слабша семантика вышших типов` - **Gramatika / use:** feminine noun phrase. Feminine semantika; comparative slabša agrees with semantika. Genitive slabšoj semantiky vyšših tipov. - **Argumentacija / rationale:** Slabša preserves the source's explicit weaker-than-full contrast and leaves room for the selected T_tau domains and operations. The phrase is paired with T0267 so the canon records the semantic opposition rather than treating weak as a generic quality adjective. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 107-112 · Weaker semantics, type-indexed domains, and operations - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 107-112 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1341; lemma=slaby; gloss=weak, feeble (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=20302; lemma=vysši; gloss=higher (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35935; lemma=semantika; gloss=semantics (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nepolna semantika` — Negation loses the source's ordered strength relation and can suggest an incomplete or defective construction.; `ograničena semantika` — Would imply an arbitrary restriction rather than the established weaker semantic regime. - **Neizvěstnost / uncertainty:** The comparative slabša is semantically stronger than a bare weak adjective; national traditions may lexicalize the contrast with partial/restricted terms.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The comparative slabša is semantically stronger than a bare weak adjective; national traditions may lexicalize the contrast with partial/restricted terms. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A type-indexed semantics with selected domains and application/projection operations rather than all possible functions.’, should ‘slabša semantika vyšših tipov’ remain preferred over ‘nepolna semantika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0269 · logic.intuitionistic - **Revizija / recording:** `OLISV-T0269-r0003` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **intuitionistic logic** — An intuitionistic logical framework—first-order here, with analogous second- and higher-order versions—obtained by restricting a derivation system for classical first-order logic so as to model constructive reasoning and proof-giving interpretations. - **Medžuslovjansky / Interslavic:** `intuicionistična logika`; lemma `intuicionistična logika`; Cyrillic `интуиционистична логика` - **Gramatika / use:** feminine noun phrase. Feminine logika; genitive intuicionističnoj logikě. Keep the international -ističny adjective and the established logika head. - **Argumentacija / rationale:** The target already uses intuicionistična logika, and the source explicitly contrasts its constructive reading with classical logic. The adjective is a regular international derivative of the direct intuicija row and is not presented as an official national spelling. The dedicated OLP-0179 unit now broadens the current sense while the earlier revision remains preserved as scope provenance. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 13-17 and 74-126 · Restriction of classical logic, constructive proof requirements, BHK interpretation, and excluded-middle contrast - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 13-17 and 74-126 (RESOLVED); `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 114-123 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=6159; lemma=intuicija; gloss=intuition (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 40, 101, 108; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `konstruktivna logika` — Constructive is a related but broader label; the source specifically names intuitionistic logic before discussing constructive interpretations.; `logika intuicije` — A genitive phrase suggests psychology rather than the established formal school. - **Neizvěstnost / uncertainty:** The dictionary does not list the full adjective; its international derivation and the source's explicit label support the provisional form.; The r0001 record is preserved as adverse provenance for the evidence correction.; Earlier narrower sense wording remains preserved in the superseded revision. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary does not list the full adjective; its international derivation and the source's explicit label support the provisional form. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An intuitionistic logical framework—first-order here, with analogous second- and higher-order versions—obtained by restricting a derivation system for classical first-order logic so as to model constructive reasoning and proof-giving interpretations.’, should ‘intuicionistična logika’ remain preferred over ‘konstruktivna logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0270 · logic.classical - **Revizija / recording:** `OLISV-T0270-r0003` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **classical logic** — The classical logical framework contrasted with intuitionistic restrictions in proof principles, semantics, and double-negation translation. - **Medžuslovjansky / Interslavic:** `klasična logika`; lemma `klasična logika`; Cyrillic `класична логика` - **Gramatika / use:** feminine noun phrase. Feminine logika; genitive klasičnoj logikě. Use klasična consistently with the target and the dictionary adjective row. - **Argumentacija / rationale:** Klasična logika is directly compositional and names the contrast made in the final paragraph. The canon keeps it parallel to T0269, so readers can track the constructive/classical opposition without an invented synonym. The dedicated OLP-0179 unit now broadens the current sense while the earlier revision remains preserved as scope provenance. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 13-15, 32-35, 114-178, and 186-198 · Classical contrast, excluded-middle principles, double-negation translation, and semantic distinction - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 13-15, 32-35, 114-178, and 186-198 (RESOLVED); `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 118-123 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8459; lemma=klasičny; gloss=classical, classic (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `tradicionna logika` — Traditional is sociological and does not identify the formal classical system.; `neintuicionistična logika` — A negative description is less readable and fails to preserve the source's conventional label. - **Neizvěstnost / uncertainty:** The adjective is polysemous in general language; the source context fixes the formal sense.; The r0001 record is preserved as adverse provenance for the evidence correction.; Earlier narrower sense wording remains preserved in the superseded revision. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The adjective is polysemous in general language; the source context fixes the formal sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The classical logical framework contrasted with intuitionistic restrictions in proof principles, semantics, and double-negation translation.’, should ‘klasična logika’ remain preferred over ‘tradicionna logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0271 · logic.constructive-semantics - **Revizija / recording:** `OLISV-T0271-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **constructive semantics** — A semantics whose type interpretations are developed constructively rather than by the classical alternative. - **Medžuslovjansky / Interslavic:** `konstruktivna semantika`; lemma `konstruktivna semantika`; Cyrillic `конструктивна семантика` - **Gramatika / use:** feminine noun phrase. Feminine semantika; genitive konstruktivnoj semantiky. Use konstruktivna for the adjective and keep the semantic head. - **Argumentacija / rationale:** Konstruktivna semantika follows the source's repeated constructive terminology and makes the interpretation regime explicit. The direct semantika noun and konstrukcija root support the compositional derivation; the phrase is not collapsed into intuitionistic logic. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 114-123 · Constructive interpretations and constructive versions of semantics - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 114-123 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=4873; lemma=konstrukcija; gloss=construction (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35935; lemma=semantika; gloss=semantics (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `semantika intuicionističnoj logiki` — Too narrow: the source describes constructive versions and their interpretations, not only one logic label.; `izgradžajuća semantika` — A literal building metaphor is less recognizable and unsupported as a specialist head. - **Neizvěstnost / uncertainty:** The full specialist compound is compositional; national literature varies between constructive and intuitionistic as overlapping but non-identical qualifiers.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The full specialist compound is compositional; national literature varies between constructive and intuitionistic as overlapping but non-identical qualifiers. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A semantics whose type interpretations are developed constructively rather than by the classical alternative.’, should ‘konstruktivna semantika’ remain preferred over ‘semantika intuicionističnoj logiki’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0272 · function.continuous - **Revizija / recording:** `OLISV-T0272-r0002` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **continuous function** — A function introduced as a further mathematical object definable from the natural-number type in the higher-type framework. - **Medžuslovjansky / Interslavic:** `neprěryvna funkcija`; lemma `neprěryvna funkcija`; Cyrillic `непрєрывна функција` - **Gramatika / use:** feminine noun phrase. Feminine funkcija; plural neprěryvne funkcije, genitive neprěryvnoj funkcije. The direct dictionary lemma bezprěryvny is normalized to the edition's neprěryvny family. - **Argumentacija / rationale:** The source names continuous functions as a canonical example, and the dictionary directly supplies the function head plus the bezprěryvny continuous family. Neprěryvna is an edition-level negative-prefix normalization, not a claim that the dictionary literally lists that surface. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` · lines 114-117 · Examples of real numbers and continuous functions definable from Nat - **Evidence loci:** `OL-FOL-BEYOND-HIGHER-ORDER-LOGIC` lines 114-117 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=6536; lemma=bezprěryvny; gloss=continuous (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1289; lemma=funkcija; gloss=function (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/higher-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `bezprěryvna funkcija` — Literal dictionary spelling is preserved in evidence, but the target's neprěryvna normalization is consistent with the project-wide negative-prefix policy.; `postojanna funkcija` — Can mean constant or stationary and is not equivalent to continuity. - **Neizvěstnost / uncertainty:** National languages divide between continuous and unbroken roots; the selected normalized form is an edition preference, not a native certification.; The r0001 record is preserved as adverse provenance for the evidence correction. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National languages divide between continuous and unbroken roots; the selected normalized form is an edition preference, not a native certification. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The r0001 record is preserved as adverse provenance for the evidence correction. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A function introduced as a further mathematical object definable from the natural-number type in the higher-type framework.’, should ‘neprěryvna funkcija’ remain preferred over ‘bezprěryvna funkcija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0273 · logic.theorem - **Revizija / recording:** `OLISV-T0273-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **theorem** — A mathematical statement presented with a proof or as a result to be proved. - **Medžuslovjansky / Interslavic:** `teorema`; lemma `teorema`; Cyrillic `теорема` - **Gramatika / use:** feminine noun. Feminine teorema; plural teoremy, genitive teoremy. - **Argumentacija / rationale:** Teorema is the transparent international mathematical head already used by the target. The source's theorem environments fix the proved-result sense, while the statement row supplies only the semantic class. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 42-47 and 117-126 · Named theorem environments in the irrational-power and excluded-middle examples - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 42-47 and 117-126 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1087; lemma=tvŕđeńje; gloss=statement, claim, assertion (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 71, 141 - **Alternativy / alternatives:** `dokazano tvrdženje` — A descriptive paraphrase obscures the conventional theorem category and its environment label. - **Neizvěstnost / uncertainty:** The pinned dictionary has no direct teorema head; the selection is source- and cross-Slavic rather than dictionary-certified. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The pinned dictionary has no direct teorema head; the selection is source- and cross-Slavic rather than dictionary-certified. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A mathematical statement presented with a proof or as a result to be proved.’, should ‘teorema’ remain preferred over ‘dokazano tvrdženje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0274 · number.composite - **Revizija / recording:** `OLISV-T0274-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **composite number** — A natural number that is not prime and has a nontrivial factorization. - **Medžuslovjansky / Interslavic:** `složeno čislo`; lemma `složeno čislo`; Cyrillic `сложено число` - **Gramatika / use:** neuter adjective-noun phrase. Neuter čislo; plural složene čisla, genitive složenogo čisla. - **Argumentacija / rationale:** Složeno čislo combines direct dictionary components and preserves the standard Slavic arithmetic contrast with prosto čislo. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 19-26 · Prime-versus-composite case split in the Riemann-hypothesis example - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 19-26 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=6145; lemma=složeny; gloss=complex, complicated, composite, compound (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=17215; lemma=čislo; gloss=number (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kompozitno čislo` — The international adjective is less immediately transparent than the direct pan-Slavic složen- family. - **Neizvěstnost / uncertainty:** National languages divide between složen- and sostavn-/skladen- roots; the selected form is the edition compromise. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National languages divide between složen- and sostavn-/skladen- roots; the selected form is the edition compromise. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A natural number that is not prime and has a nontrivial factorization.’, should ‘složeno čislo’ remain preferred over ‘kompozitno čislo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0275 · number.irrational - **Revizija / recording:** `OLISV-T0275-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **irrational number** — A real number that is not rational. - **Medžuslovjansky / Interslavic:** `iracionaľno čislo`; lemma `iracionaľno čislo`; Cyrillic `ирационално число` - **Gramatika / use:** neuter adjective-noun phrase. Neuter čislo; plural iracionaľne čisla, genitive iracionaľnogo čisla. - **Argumentacija / rationale:** The accepted real-number unit already uses the positive iracional- family, and the dictionary's neracionaľny row confirms the specialist sense and soft-l spelling. Iracionaľno avoids reading the initial ne- as a freely scoped negation in dense formulas. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 37-72 · Irrational-base and irrational-exponent theorem - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 37-72 (RESOLVED); `OL-SFR-ARITHMETIZATION-REALS-ISV` line 22: iracionalne čisla ... realne čisla, ktore ne sųt racionalne (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=19902; lemma=neracionaľny; gloss=irrational (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=17215; lemma=čislo; gloss=number (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 67, 69; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/arithmetization/reals.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `neracionaľno čislo` — Directly listed, but the negative form is less stable across the existing edition than the accepted positive international family. - **Neizvěstnost / uncertainty:** The accepted precedent spells iracionalne without the soft-l mark; the OLP0179 form regularizes it to the pinned adjective family. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The accepted precedent spells iracionalne without the soft-l mark; the OLP0179 form regularizes it to the pinned adjective family. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A real number that is not rational.’, should ‘iracionaľno čislo’ remain preferred over ‘neracionaľno čislo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0276 · mathematics.riemann-hypothesis - **Revizija / recording:** `OLISV-T0276-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Riemann hypothesis** — The named open conjecture used in the source's first constructive-reasoning example. - **Medžuslovjansky / Interslavic:** `Rimanova hipoteza`; lemma `Rimanova hipoteza`; Cyrillic `Риманова хипотеза` - **Gramatika / use:** feminine possessive-adjective noun phrase. Feminine hipoteza; genitive Rimanovoj hipotezy. Preserve the Riman- proper-name adaptation consistently. - **Argumentacija / rationale:** Rimanova hipoteza uses the direct hypothesis head and a broadly recognizable Slavic possessive form for the proper name while retaining the source's named referent. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 19-35 · Named open problem in the nonconstructive number-definition example - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 19-35 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=19517; lemma=hipoteza; gloss=hypothesis (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 50, 58 - **Alternativy / alternatives:** `hipoteza Rimana` — A bare genitive is intelligible but less balanced across West and South Slavic adjective patterns used by the edition. - **Neizvěstnost / uncertainty:** National spellings retain either Riemann or Riman; the single-n adaptation is an edition-level readability choice. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National spellings retain either Riemann or Riman; the single-n adaptation is an edition-level readability choice. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The named open conjecture used in the source's first constructive-reasoning example.’, should ‘Rimanova hipoteza’ remain preferred over ‘hipoteza Rimana’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0277 · arithmetic.power - **Revizija / recording:** `OLISV-T0277-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **power** — The exponent or degree to which a number is raised in an expression a to the b. - **Medžuslovjansky / Interslavic:** `stųpėnj`; lemma `stųpėnj`; Cyrillic `ступењ` - **Gramatika / use:** masculine noun. Masculine stųpėnj; genitive stųpnja. In the source construction use na ... stųpėnj after vozvesti. - **Argumentacija / rationale:** Stųpėnj is the exact pinned dictionary head for degree and is used in the target's raise-to-a-power construction; the displayed exponentials fix the specialist exponent sense. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 37-58 · Rational and irrational exponent in the motivating power example - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 37-58 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3252; lemma=stųpėnj; gloss=degree, stair (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 67, 70 - **Alternativy / alternatives:** `potencija` — The international form is less broadly stable and can denote potency or exponentiation rather than the exponent itself. - **Neizvěstnost / uncertainty:** The dictionary gloss says degree rather than exponent; the mathematical specialization is fixed by the source and target syntax. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary gloss says degree rather than exponent; the mathematical specialization is fixed by the source and target syntax. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The exponent or degree to which a number is raised in an expression a to the b.’, should ‘stųpėnj’ remain preferred over ‘potencija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0278 · logic.propositional-logic - **Revizija / recording:** `OLISV-T0278-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **propositional logic** — A logical system whose formulas are built from propositional variables and connectives. - **Medžuslovjansky / Interslavic:** `propozicijska logika`; lemma `propozicijska logika`; Cyrillic `пропозицијска логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive propozicijskoj logiky. - **Argumentacija / rationale:** Propozicijska logika is already the edition's stable, internationally searchable system label. The ordinary proposal gloss is retained as adverse evidence, so the source—not that gloss—fixes the logical sense. - **Uvěrjenost / status:** 0.84 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 128-149 · Historical propositional systems and double-negation translation - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 128-149 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=5124; lemma=propozicija; gloss=proposal (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logika tvrdženj` — Transparent, but it would diverge from the established chapter label and much South-Slavic specialist usage. - **Neizvěstnost / uncertainty:** Propozicija alone means proposal in the pinned dictionary; only the qualified specialist adjective is preferred here. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Propozicija alone means proposal in the pinned dictionary; only the qualified specialist adjective is preferred here. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logical system whose formulas are built from propositional variables and connectives.’, should ‘propozicijska logika’ remain preferred over ‘logika tvrdženj’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0279 · logic.proposition - **Revizija / recording:** `OLISV-T0279-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **proposition** — A truth-apt claim represented by a propositional variable in the Kripke explanation. - **Medžuslovjansky / Interslavic:** `tvrdženje`; lemma `tvrdženje`; Cyrillic `тврджење` - **Gramatika / use:** neuter verbal noun. Neuter tvrdženje; plural tvrdženja, genitive tvrdženja. - **Argumentacija / rationale:** Tvrdženje conveys a truth-apt statement across the Slavic comparison and avoids presenting the dictionary's ordinary proposal sense as the logical noun. Propozicijsky remains the established adjective for the system and variables. - **Uvěrjenost / status:** 0.83 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 200-210 · Truth-apt propositions represented by assigned propositional variables - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 200-210 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1087; lemma=tvŕđeńje; gloss=statement, claim, assertion (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=5124; lemma=propozicija; gloss=proposal (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `propozicija` — The pinned direct gloss is proposal, creating an avoidable false friend when the source requires a claim known to be true. - **Neizvěstnost / uncertainty:** Some specialist traditions use international proposition forms; the edition deliberately separates the noun from the established propozicijsky adjective. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Some specialist traditions use international proposition forms; the edition deliberately separates the noun from the established propozicijsky adjective. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A truth-apt claim represented by a propositional variable in the Kripke explanation.’, should ‘tvrdženje’ remain preferred over ‘propozicija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0280 · logic.propositional-language - **Revizija / recording:** `OLISV-T0280-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **propositional language** — A formal language of propositional variables and connectives interpreted by valuations or Kripke structures. - **Medžuslovjansky / Interslavic:** `propozicijsky jezyk`; lemma `propozicijsky jezyk`; Cyrillic `пропозицијскы језык` - **Gramatika / use:** masculine adjective-noun phrase. Masculine jezyk; genitive propozicijskogo jezyka. The dictionary język spelling is normalized to the edition's jezyk surface. - **Argumentacija / rationale:** The phrase extends the edition's established propozicijsky system adjective to the direct language head; the exact source context prevents the ordinary proposal reading. - **Uvěrjenost / status:** 0.84 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 180-184 and 200-210 · Propositional formulas and the language interpreted by a Kripke structure - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 180-184 and 200-210 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=541; lemma=język; gloss=language (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=5124; lemma=propozicija; gloss=proposal (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `jezyk tvrdženj` — Readable but inconsistent with the established propozicijska logika and propozicijska prěměnna families. - **Neizvěstnost / uncertainty:** The full compound is source-defined rather than directly listed in the dictionary, and national languages vary between proposition and statement roots. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The full compound is source-defined rather than directly listed in the dictionary, and national languages vary between proposition and statement roots. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formal language of propositional variables and connectives interpreted by valuations or Kripke structures.’, should ‘propozicijsky jezyk’ remain preferred over ‘jezyk tvrdženj’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0281 · philosophy.intuitionism - **Revizija / recording:** `OLISV-T0281-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **intuitionism** — The philosophical position associated with Brouwer that motivates intuitionistic mathematical reasoning. - **Medžuslovjansky / Interslavic:** `intuicionizm`; lemma `intuicionizm`; Cyrillic `интуиционизм` - **Gramatika / use:** masculine noun. Masculine intuicionizm; genitive intuicionizma. - **Argumentacija / rationale:** Intuicionizm is a regular international derivative of the direct intuicija root and keeps the philosophical school distinct from the formal logic T0269. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 81-95 and 128-133 · Brouwer's philosophical position and historical formalizations - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 81-95 and 128-133 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=6159; lemma=intuicija; gloss=intuition (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 115, 156 - **Alternativy / alternatives:** `filosofija intuicije` — A descriptive phrase does not identify the named historical school and may suggest psychology. - **Neizvěstnost / uncertainty:** The complete derivative is not a direct dictionary row; its school sense is fixed by the source's Brouwer attribution. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete derivative is not a direct dictionary row; its school sense is fixed by the source's Brouwer attribution. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The philosophical position associated with Brouwer that motivates intuitionistic mathematical reasoning.’, should ‘intuicionizm’ remain preferred over ‘filosofija intuicije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0282 · philosophy.constructivism - **Revizija / recording:** `OLISV-T0282-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **constructivism** — The mathematical-philosophical programme associated here with Bishop and concrete constructive proof. - **Medžuslovjansky / Interslavic:** `konstruktivizm`; lemma `konstruktivizm`; Cyrillic `конструктивизм` - **Gramatika / use:** masculine noun. Masculine konstruktivizm; genitive konstruktivizma. - **Argumentacija / rationale:** Konstruktivizm transparently derives from the direct construction family and names the source's Bishop-associated programme without collapsing it into intuitionism. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 81-95 · Bishop-style constructive mathematics and its philosophical motivation - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 81-95 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=4873; lemma=konstrukcija; gloss=construction (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 117 - **Alternativy / alternatives:** `konstruktivna filosofija` — The paraphrase is broader than the named mathematical programme and loses its conventional label. - **Neizvěstnost / uncertainty:** The dictionary supplies the root rather than the complete philosophical derivative. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary supplies the root rather than the complete philosophical derivative. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The mathematical-philosophical programme associated here with Bishop and concrete constructive proof.’, should ‘konstruktivizm’ remain preferred over ‘konstruktivna filosofija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0283 · method.constructive-reasoning - **Revizija / recording:** `OLISV-T0283-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **constructive reasoning** — Reasoning that establishes existence or disjunction by supplying the relevant witness, branch, or proof procedure. - **Medžuslovjansky / Interslavic:** `konstruktivno razsuđanje`; lemma `konstruktivno razsuđanje`; Cyrillic `конструктивно разсуджање` - **Gramatika / use:** neuter adjective verbal-noun phrase. Neuter razsuđanje; genitive konstruktivnogo razsuđanja. - **Argumentacija / rationale:** The phrase makes the source's proof-giving discipline explicit and reuses the edition's normalized razsuđanje family rather than an ambiguous psychology-oriented thinking term. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 13-17 and 74-95 · Witness-giving and branch-giving motivation for intuitionistic logic - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 13-17 and 74-95 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=4873; lemma=konstrukcija; gloss=construction (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=34021; lemma=råzsųđati; gloss=pass judgment, reason (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `konstruktivno mysljenje` — Mysljenje can denote general thought; the source requires a disciplined inferential practice. - **Neizvěstnost / uncertainty:** The dictionary's råzsųđati spelling is normalized in the edition, and the nominal derivative is compositional rather than directly listed. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary's råzsųđati spelling is normalized in the edition, and the nominal derivative is compositional rather than directly listed. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Reasoning that establishes existence or disjunction by supplying the relevant witness, branch, or proof procedure.’, should ‘konstruktivno razsuđanje’ remain preferred over ‘konstruktivno mysljenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0284 · logic.bhk-interpretation - **Revizija / recording:** `OLISV-T0284-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **BHK interpretation** — The Brouwer-Heyting-Kolmogorov proof interpretation of intuitionistic connectives and quantifiers. - **Medžuslovjansky / Interslavic:** `interpretacija BHK`; lemma `interpretacija BHK`; Cyrillic `интерпретација БХК` - **Gramatika / use:** feminine noun plus acronym. Feminine interpretacija; genitive interpretacije BHK. Keep the acronym invariant. - **Argumentacija / rationale:** Interpretacija BHK uses the direct interpretation head and leaves the internationally recognized acronym visible, while the source supplies the complete proof-theoretic clauses. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 97-112 · Proof-object clauses for conjunction, disjunction, implication, and quantifiers - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 97-112 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=4988; lemma=interpretacija; gloss=interpretation (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 124 - **Alternativy / alternatives:** `interpretacija Brouwera, Heytinga i Kolmogorova` — The expanded form is accurate but unwieldy as the recurring canonical head; the names remain in the definition. - **Neizvěstnost / uncertainty:** National acronym ordering and scripts vary; the Latin BHK label follows the source and remains searchable. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National acronym ordering and scripts vary; the Latin BHK label follows the source and remains searchable. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The Brouwer-Heyting-Kolmogorov proof interpretation of intuitionistic connectives and quantifiers.’, should ‘interpretacija BHK’ remain preferred over ‘interpretacija Brouwera, Heytinga i Kolmogorova’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0285 · logic.curry-howard-isomorphism - **Revizija / recording:** `OLISV-T0285-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Curry-Howard isomorphism** — The correspondence in which formulas are treated as types and proofs as computational objects inhabiting those types. - **Medžuslovjansky / Interslavic:** `izomorfizm Kurrija--Hauarda`; lemma `izomorfizm Kurrija--Hauarda`; Cyrillic `изоморфизм Куррија--Хауарда` - **Gramatika / use:** masculine noun with coordinated proper-name genitives. Masculine izomorfizm; genitive izomorfizma Kurrija--Hauarda. Preserve both adapted names and the double-name dash. - **Argumentacija / rationale:** The international named head preserves the literature's searchable label, while the source's formulas/types/proofs explanation fixes the specific correspondence rather than an arbitrary structural isomorphism. - **Uvěrjenost / status:** 0.89 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 108-112 · Computational formulas-as-types account of the constructive interpretation - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 108-112 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=5181; lemma=formula; gloss=formula (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `sootvětnost formul i tipov` — A descriptive correspondence phrase loses the conventional proper name and the source's isomorphism claim. - **Neizvěstnost / uncertainty:** No direct dictionary isomorphism head is available; the proper-name inflection and technical noun are edition-level choices. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct dictionary isomorphism head is available; the proper-name inflection and technical noun are edition-level choices. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The correspondence in which formulas are treated as types and proofs as computational objects inhabiting those types.’, should ‘izomorfizm Kurrija--Hauarda’ remain preferred over ‘sootvětnost formul i tipov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0286 · logic.formulas-as-types - **Revizija / recording:** `OLISV-T0286-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **formulas-as-types paradigm** — The computational paradigm that reads formulas as data types and proofs as objects of those types. - **Medžuslovjansky / Interslavic:** `paradigm formuly kako tipy`; lemma `paradigm formuly kako tipy`; Cyrillic `парадигм формулы како типы` - **Gramatika / use:** masculine noun with nominative explanatory phrase. Masculine paradigm; genitive paradigma. Keep the quoted formuly and tipy in nominative plural. - **Argumentacija / rationale:** The canon keeps the direct masculine paradigm head from the pinned dictionary and quotes the source's compositional formulas-as-types label, rather than changing the head's gender to match particular national forms. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 108-112 · Alternative name and explanation for the Curry-Howard correspondence - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 108-112 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=16999; lemma=paradigm; gloss=paradigm (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=5181; lemma=formula; gloss=formula (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 135 - **Alternativy / alternatives:** `paradigma formul i tipov` — The feminine head contradicts the pinned Interslavic lemma, while and does not express the source's as relation. - **Neizvěstnost / uncertainty:** National languages usually use a feminine paradigm form; the canon deliberately follows the pinned Interslavic masculine lemma. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National languages usually use a feminine paradigm form; the canon deliberately follows the pinned Interslavic masculine lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The computational paradigm that reads formulas as data types and proofs as objects of those types.’, should ‘paradigm formuly kako tipy’ remain preferred over ‘paradigma formul i tipov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0287 · computing.data-type - **Revizija / recording:** `OLISV-T0287-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **data type** — A class of computational objects used to interpret a formula under the formulas-as-types paradigm. - **Medžuslovjansky / Interslavic:** `tip danych`; lemma `tip danych`; Cyrillic `тип даных` - **Gramatika / use:** masculine noun with genitive plural. Masculine tip; plural tipy danych, genitive tipa danych. - **Argumentacija / rationale:** Tip danych directly composes the pinned type and data heads and matches the source's computational reading without conflating the term with the broader logical type entry. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 108-112 · Computational objects and data types in the Curry-Howard explanation - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 108-112 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3224; lemma=tip; gloss=type, kind (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3548; lemma=dane; gloss=data (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `dany tip` — This reverses the semantic relation and can be read as a given or specified type rather than a type of data. - **Neizvěstnost / uncertainty:** The entry is scoped to computational data types; the broader logical type remains T0256. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The entry is scoped to computational data types; the broader logical type remains T0256. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A class of computational objects used to interpret a formula under the formulas-as-types paradigm.’, should ‘tip danych’ remain preferred over ‘dany tip’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0288 · logic.excluded-middle - **Revizija / recording:** `OLISV-T0288-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **law of excluded middle** — The classical principle asserting A or not-A for every formula A. - **Medžuslovjansky / Interslavic:** `zakon izključenogo tretjego`; lemma `zakon izključenogo tretjego`; Cyrillic `закон изкљученого третјего` - **Gramatika / use:** masculine noun with genitive adjective-number phrase. Masculine zakon; genitive zakona izključenogo tretjego. - **Argumentacija / rationale:** The transparent Slavic calque mirrors the source's displayed A-or-not-A principle and uses three direct lexical components. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 114-126 · Classical principle contrasted with intuitionistic logic and displayed as A or not-A - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 114-126 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1901; lemma=zakon; gloss=law, act (law), lex (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=482; lemma=izključiti; gloss=exclude, except (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=439; lemma=treťji; gloss=third (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 141 - **Alternativy / alternatives:** `princip A ili ne-A` — A notation-based paraphrase is useful pedagogically but is not the conventional canonical name. - **Neizvěstnost / uncertainty:** West Slavic traditions sometimes lexicalize the middle rather than the third; the edition follows the broader East/South third pattern. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: West Slavic traditions sometimes lexicalize the middle rather than the third; the edition follows the broader East/South third pattern. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The classical principle asserting A or not-A for every formula A.’, should ‘zakon izključenogo tretjego’ remain preferred over ‘princip A ili ne-A’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0289 · logic.axiom-schema - **Revizija / recording:** `OLISV-T0289-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **axiom schema** — A pattern whose substitution instances are axioms of a deductive system. - **Medžuslovjansky / Interslavic:** `shema aksiom`; lemma `shema aksiom`; Cyrillic `схема аксиом` - **Gramatika / use:** feminine noun with genitive plural. Feminine shema; plural shemy aksiom, genitive shemy aksiom. - **Argumentacija / rationale:** Shema aksiom directly composes the pinned heads and preserves the source's distinction between a schema and its individual instances. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 117-133 · Equivalent intuitionistic axiom schemata and their instances - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 117-133 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=18814; lemma=shema; gloss=scheme (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=24180; lemma=aksioma; gloss=axiom (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `aksiomatična shema` — The adjectival form is possible but makes the axiom/schema relation less explicit for readers across language traditions. - **Neizvěstnost / uncertainty:** National number marking varies between singular and plural axiom complements; the canon chooses a transparent genitive plural. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National number marking varies between singular and plural axiom complements; the canon chooses a transparent genitive plural. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A pattern whose substitution instances are axioms of a deductive system.’, should ‘shema aksiom’ remain preferred over ‘aksiomatična shema’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0290 · logic.deductive-equivalence - **Revizija / recording:** `OLISV-T0290-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **deductive equivalence** — Mutual derivability of principles within the stated deductive system. - **Medžuslovjansky / Interslavic:** `deduktivna ekvivalentnost`; lemma `deduktivna ekvivalentnost`; Cyrillic `дедуктивна еквивалентност` - **Gramatika / use:** feminine adjective-derived-noun phrase. Feminine ekvivalentnost; genitive deduktivnoj ekvivalentnosti. - **Argumentacija / rationale:** The noun phrase transparently derives from two direct adjectives and fixes equivalence as mutual derivability rather than semantic sameness. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 117-126 · Mutual derivability of the three displayed intuitionistic axiom schemata - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 117-126 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=25163; lemma=deduktivny; gloss=deductive (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=36133; lemma=ekvivalentny; gloss=equivalent, tantamount (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logična ekvivalentnost` — Logical equivalence can mean equal truth conditions; the source specifically asserts deductive interderivability. - **Neizvěstnost / uncertainty:** Ekvivalentnost is a regular derivative rather than a direct dictionary noun row. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Ekvivalentnost is a regular derivative rather than a direct dictionary noun row. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Mutual derivability of principles within the stated deductive system.’, should ‘deduktivna ekvivalentnost’ remain preferred over ‘logična ekvivalentnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0291 · logic.double-negation-translation - **Revizija / recording:** `OLISV-T0291-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **double-negation translation** — The inductively defined map sending classical formulas to intuitionistic formulas by inserting double negations in specified clauses. - **Medžuslovjansky / Interslavic:** `prěvod dvojnoj negacije`; lemma `prěvod dvojnoj negacije`; Cyrillic `прєвод двојној негације` - **Gramatika / use:** masculine noun with genitive phrase. Masculine prěvod; genitive prěvoda dvojnoj negacije. - **Argumentacija / rationale:** The target's prěvod dvojnoj negacije directly names the map, while the displayed inductive clauses prevent confusion with merely applying negation twice to one formula. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 135-178 · Kolmogorov-Glivenko-Gödel-Gentzen inductive translation and preservation theorem - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 135-178 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=20073; lemma=prěvod; gloss=translation (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=476; lemma=dvojny; gloss=double (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 163 - **Alternativy / alternatives:** `prěklad dvojnoj negacije` — Also means translation, but prěvod is the established edition head for a formal formula transformation. - **Neizvěstnost / uncertainty:** No direct dictionary negation noun is pinned; that component inherits the established T0113 logical terminology. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct dictionary negation noun is pinned; that component inherits the established T0113 logical terminology. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The inductively defined map sending classical formulas to intuitionistic formulas by inserting double negations in specified clauses.’, should ‘prěvod dvojnoj negacije’ remain preferred over ‘prěklad dvojnoj negacije’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0292 · logic.pure-logic - **Revizija / recording:** `OLISV-T0292-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **pure logic** — The logical calculus considered without adding mathematical nonlogical axioms. - **Medžuslovjansky / Interslavic:** `čista logika`; lemma `čista logika`; Cyrillic `чиста логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive čistoj logiky. - **Argumentacija / rationale:** Čista logika is a direct transparent compound whose source context fixes pure as axiom-free logical scope rather than cleanliness. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 166-170 · Scope restriction of the double-negation translation before nonlogical axioms are added - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 166-170 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=582; lemma=čisty; gloss=clean, pure, chaste (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `sama logika` — Can mean logic alone rhetorically, but does not provide a stable specialist label. - **Neizvěstnost / uncertainty:** The adjective is broadly polysemous; the adjacent contrast supplies the precise technical sense. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The adjective is broadly polysemous; the adjacent contrast supplies the precise technical sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The logical calculus considered without adding mathematical nonlogical axioms.’, should ‘čista logika’ remain preferred over ‘sama logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0293 · logic.nonlogical-axiom - **Revizija / recording:** `OLISV-T0293-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **nonlogical axiom** — An axiom expressing mathematical subject matter rather than belonging to pure logical calculus. - **Medžuslovjansky / Interslavic:** `nelogična aksioma`; lemma `nelogična aksioma`; Cyrillic `нелогична аксиома` - **Gramatika / use:** feminine adjective-noun phrase. Feminine aksioma; plural nelogične aksiomy, genitive nelogičnoj aksiomy. - **Argumentacija / rationale:** Nelogična aksioma follows the source and established specialist opposition to pure logic, but the canon explicitly records that the direct ordinary gloss is illogical, not domain-nonlogical. - **Uvěrjenost / status:** 0.8 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 166-178 · Mathematical axioms outside pure logic in the double-negation discussion - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 166-178 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=24180; lemma=aksioma; gloss=axiom (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=19891; lemma=nelogičny; gloss=illogical (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `iracionalna aksioma` — Would mean unreasonable or irrational and would destroy the source's logical-versus-mathematical scope distinction. - **Neizvěstnost / uncertainty:** Outside specialist context nelogičny means illogical; readers should retain the definition and pure-logic contrast. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Outside specialist context nelogičny means illogical; readers should retain the definition and pure-logic contrast. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An axiom expressing mathematical subject matter rather than belonging to pure logical calculus.’, should ‘nelogična aksioma’ remain preferred over ‘iracionalna aksioma’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0294 · logic.kripke-semantics - **Revizija / recording:** `OLISV-T0294-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Kripke semantics** — The semantics for intuitionistic logic based on ordered worlds, persistent valuations, and a forcing relation. - **Medžuslovjansky / Interslavic:** `Kripkova semantika`; lemma `Kripkova semantika`; Cyrillic `Крипкова семантика` - **Gramatika / use:** feminine possessive-adjective noun phrase. Feminine semantika; genitive Kripkovoj semantiky. - **Argumentacija / rationale:** Kripkova semantika combines the direct semantic head with a transparent possessive proper-name form; the subsequent ordered-world clauses fix the intuitionistic sense. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 180-222 · Sound and complete semantic framework and its contrast with classical semantics - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 180-222 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35935; lemma=semantika; gloss=semantics (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 211 - **Alternativy / alternatives:** `semantika možnyh světov` — Possible-world semantics is broader and would hide the source's Kripke attribution and persistence clauses. - **Neizvěstnost / uncertainty:** The indeclinable national treatment of Kripke varies; the possessive adjective is an edition convention. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The indeclinable national treatment of Kripke varies; the possessive adjective is an edition convention. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The semantics for intuitionistic logic based on ordered worlds, persistent valuations, and a forcing relation.’, should ‘Kripkova semantika’ remain preferred over ‘semantika možnyh světov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0295 · logic.kripke-structure - **Revizija / recording:** `OLISV-T0295-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Kripke structure** — A triple of worlds, a partial order with a least element, and a monotone valuation for a propositional language. - **Medžuslovjansky / Interslavic:** `Kripkova struktura`; lemma `Kripkova struktura`; Cyrillic `Крипкова структура` - **Gramatika / use:** feminine possessive-adjective noun phrase. Feminine struktura; plural Kripkove struktury, genitive Kripkovoj struktury. - **Argumentacija / rationale:** Kripkova struktura follows the source's named triple and direct structure head, while the entry definition prevents confusion with arbitrary relational structures. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 186-222 · Definition M=(W,R,V), explanatory worlds, and countermodel exercise - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 186-222 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=16363; lemma=struktura; gloss=structure (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 227 - **Alternativy / alternatives:** `Kripkov model` — Model is common in the literature but would erase the source's explicit structure terminology and collide with the broader model canon. - **Neizvěstnost / uncertainty:** Some literature prefers Kripke model or frame; this entry follows the pinned source's structure label. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Some literature prefers Kripke model or frame; this entry follows the pinned source's structure label. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A triple of worlds, a partial order with a least element, and a monotone valuation for a propositional language.’, should ‘Kripkova struktura’ remain preferred over ‘Kripkov model’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0296 · logic.monotone-valuation - **Revizija / recording:** `OLISV-T0296-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **monotone valuation** — An assignment of propositional variables that persists upward along the Kripke order. - **Medžuslovjansky / Interslavic:** `monotonna ocěnka`; lemma `monotonna ocěnka`; Cyrillic `монотонна оцєнка` - **Gramatika / use:** feminine adjective-noun phrase. Feminine ocěnka; plural monotonne ocěnky, genitive monotonnoj ocěnky. - **Argumentacija / rationale:** Monotonna ocěnka pairs the direct valuation head with the source's quoted monotone qualifier; the future-world clauses explain persistence rather than relying on the everyday monotone sense. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 200-218 · Persistent assignment component V and future-world implication clause - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 200-218 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=29019; lemma=ocěnka; gloss=mark, rating, score, valuation, estimation, assessment, appraisal, evaluation (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `postojanna ocěnka` — Constant valuation would forbid legitimate growth of knowledge and is stronger than monotonicity. - **Neizvěstnost / uncertainty:** The complete adjective-noun compound is not directly listed, and national texts vary between valuation, assignment, and evaluation heads. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete adjective-noun compound is not directly listed, and national texts vary between valuation, assignment, and evaluation heads. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An assignment of propositional variables that persists upward along the Kripke order.’, should ‘monotonna ocěnka’ remain preferred over ‘postojanna ocěnka’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0297 · logic.kripke-world - **Revizija / recording:** `OLISV-T0297-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **Kripke world** — An element of the ordered set in a Kripke structure, interpreted as a state of knowledge. - **Medžuslovjansky / Interslavic:** `Kripkov svět`; lemma `Kripkov svět`; Cyrillic `Крипков свєт` - **Gramatika / use:** masculine possessive-adjective noun phrase. Masculine svět; plural Kripkove světy, genitive Kripkovogo světa. - **Argumentacija / rationale:** Kripkov svět uses the direct world head and keeps the source's state-of-knowledge explanation in the definition rather than replacing the conventional world label. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 200-210 · Worlds and possible future knowledge states in the semantic explanation - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 200-210 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3137; lemma=svět; gloss=world (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=16479; lemma=stańje; gloss=state (condition, shape), status (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3712; lemma=znańje; gloss=knowledge, know-how (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `stanje znanja` — This is the source's interpretation of a world, not the structural element's canonical name. - **Neizvěstnost / uncertainty:** World is metaphorical and some national accounts prefer node or state; the source explicitly licenses both world and state readings. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: World is metaphorical and some national accounts prefer node or state; the source explicitly licenses both world and state readings. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An element of the ordered set in a Kripke structure, interpreted as a state of knowledge.’, should ‘Kripkov svět’ remain preferred over ‘stanje znanja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0298 · logic.forcing-relation - **Revizija / recording:** `OLISV-T0298-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **forcing relation** — The inductively defined relation stating that a formula is true at a world of a Kripke structure. - **Medžuslovjansky / Interslavic:** `odnošenje forsiranja`; lemma `odnošenje forsiranja`; Cyrillic `одношење форсирања` - **Gramatika / use:** neuter noun with genitive verbal noun. Neuter odnošenje; genitive odnošenja forsiranja. - **Argumentacija / rationale:** Odnošenje forsiranja preserves the source's named technical relation and direct relation head. The ordinary force row is adverse evidence only: the inductive Kripke clauses, not coercion, define the specialist sense. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 207-218 · Named forcing relation, its reading, and inductive connective clauses - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 207-218 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1992; lemma=odnošeńje; gloss=relation, relationship, attitude, ratio, proportion (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=2136; lemma=prinuditi; gloss=force (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 234 - **Alternativy / alternatives:** `odnošenje zadovoljenja` — Would conflate world-indexed forcing with the already established model satisfaction relation and hide the source's terminology. - **Neizvěstnost / uncertainty:** Forsiranje is an editorial international derivative with uneven national uptake; the canon definition and notation must accompany it. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Forsiranje is an editorial international derivative with uneven national uptake; the canon definition and notation must accompany it. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The inductively defined relation stating that a formula is true at a world of a Kripke structure.’, should ‘odnošenje forsiranja’ remain preferred over ‘odnošenje zadovoljenja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0299 · method.counterexample - **Revizija / recording:** `OLISV-T0299-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **counterexample** — An example structure showing that a proposed formula or claim is not valid. - **Medžuslovjansky / Interslavic:** `protivpriměr`; lemma `protivpriměr`; Cyrillic `противпримєр` - **Gramatika / use:** masculine compound noun. Masculine protivpriměr; plural protivpriměry, genitive protivpriměra. - **Argumentacija / rationale:** Protivpriměr transparently composes the direct against/example components and states the function of the requested Kripke structure for readers unfamiliar with an international contra- form. - **Uvěrjenost / status:** 0.92 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` · lines 220-222 · Kripke structure requested to disprove intuitionistic validity - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 220-222 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=362; lemma=protiv; gloss=against, contra, versus (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3590; lemma=priměr; gloss=example (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 252 - **Alternativy / alternatives:** `kontrapriměr` — Recognizable, but the direct protiv component gives a more internally transparent Interslavic compound. - **Neizvěstnost / uncertainty:** Most national mathematical traditions use a kontra-/kontro- prefix; protiv- is the edition's transparent pan-Slavic choice. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Most national mathematical traditions use a kontra-/kontro- prefix; protiv- is the edition's transparent pan-Slavic choice. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An example structure showing that a proposed formula or claim is not valid.’, should ‘protivpriměr’ remain preferred over ‘kontrapriměr’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0300 · logic.modal - **Revizija / recording:** `OLISV-T0300-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **modal logic** — A logical system extending propositional or predicate logic with operators for necessity and possibility across possible worlds. - **Medžuslovjansky / Interslavic:** `modalna logika`; lemma `modalna logika`; Cyrillic `модална логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive modalnoj logiky. - **Argumentacija / rationale:** Modalna logika combines the directly attested modal adjective with the stable logic head and keeps the source's necessity/possibility distinction visible. The definition, rather than the international label alone, fixes the specialist sense. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 31-39 and 67-89 · Definition, operators, and S4/S5 examples of modal logic - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 31-39 and 67-89 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=37338; lemma=modaľny; gloss=modal (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 47 - **Alternativy / alternatives:** `logika možlivyh světov` — A descriptive possible-worlds phrase explains one semantic device but does not name the broader system, which also applies to predicate logic and alternative modal readings. - **Neizvěstnost / uncertainty:** The dictionary's modal adjective is marked with a soft-l variant while the edition uses the internationally transparent modalna surface; no official specialist certification is claimed. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary's modal adjective is marked with a soft-l variant while the edition uses the internationally transparent modalna surface; no official specialist certification is claimed. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logical system extending propositional or predicate logic with operators for necessity and possibility across possible worlds.’, should ‘modalna logika’ remain preferred over ‘logika možlivyh světov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0301 · logic.conditional-assertion - **Revizija / recording:** `OLISV-T0301-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **conditional assertion** — A claim expressed with an antecedent and consequent, whose material truth may suggest a stronger counterfactual connection. - **Medžuslovjansky / Interslavic:** `uslovno tvrdženje`; lemma `uslovno tvrdženje`; Cyrillic `условно тврджење` - **Gramatika / use:** neuter adjective-verbal-noun phrase. Neuter tvrdženje; genitive uslovnogo tvrdženja. - **Argumentacija / rationale:** Uslovno tvrdženje uses the direct conditional component and the edition's established truth-apt tvrdženje head. It preserves the source's warning that material truth alone can mislead without collapsing the claim into a strict counterfactual term. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 13-29 · Jeremy example and distinction between material truth and stronger implication - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 13-29 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1618; lemma=uslovny; gloss=conditional (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1087; lemma=tvŕđeńje; gloss=statement, claim, assertion (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `uslovno izrečenje` — The general utterance noun is intelligible, but tvrdženje is already the edition's truth-apt statement head and better preserves the logical force. - **Neizvěstnost / uncertainty:** National traditions distinguish conditional sentence, proposition, and assertion in different ways; the source's explanatory paragraph fixes the intended scope. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National traditions distinguish conditional sentence, proposition, and assertion in different ways; the source's explanatory paragraph fixes the intended scope. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A claim expressed with an antecedent and consequent, whose material truth may suggest a stronger counterfactual connection.’, should ‘uslovno tvrdženje’ remain preferred over ‘uslovno izrečenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0302 · logic.antecedent - **Revizija / recording:** `OLISV-T0302-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **antecedent** — The condition or first component of a conditional assertion, written A in the source's material and modal discussion. - **Medžuslovjansky / Interslavic:** `prědhodna čest`; lemma `prědhodna čest`; Cyrillic `прєдходна чест` - **Gramatika / use:** feminine adjective-noun phrase. Feminine čest; use prědhodnoj česti in the genitive and prědhodnoju čestju in the instrumental. - **Argumentacija / rationale:** Prědhodna čest is a transparent native compound: the precedence adjective identifies the first component and čest keeps the part/portion sense visible. The formal source context, not a claim of national textbook identity, fixes it as antecedent. - **Uvěrjenost / status:** 0.76 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 20-25 · Antecedent/conclusion contrast in the motivating conditional - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 20-25 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=14924; lemma=prědhodny; gloss=previous (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 38, 42 - **Alternativy / alternatives:** `antecedent` — The international loan is searchable but less immediately parsable for readers who rely on the shared prěd- and čest families. - **Neizvěstnost / uncertainty:** The complete compound is editorial; in some traditions antecedent is treated as the condition itself rather than a syntactic component. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound is editorial; in some traditions antecedent is treated as the condition itself rather than a syntactic component. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The condition or first component of a conditional assertion, written A in the source's material and modal discussion.’, should ‘prědhodna čest’ remain preferred over ‘antecedent’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0303 · logic.consequent - **Revizija / recording:** `OLISV-T0303-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **consequent** — The conclusion or second component of a conditional assertion, written B in the source's material and modal discussion. - **Medžuslovjansky / Interslavic:** `poslědica`; lemma `poslědica`; Cyrillic `послєдица` - **Gramatika / use:** feminine noun. Feminine poslědica; genitive poslědice and instrumental poslědicoju. - **Argumentacija / rationale:** Poslědica is a directly listed consequence noun and makes the conclusion sense readable without importing an opaque Latinism. The source's conditional and modal passages narrow the broad everyday consequence field to the consequent position. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 20-25 · Antecedent/conclusion contrast and counterfactual conclusion - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 20-25 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=18328; lemma=poslědica; gloss=consequence, result, outcome (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=2327; lemma=poslědstvo; gloss=consequence, result, effect (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 38, 41 - **Alternativy / alternatives:** `konsekvent` — The international technical form is familiar to specialists, but the directly attested consequence noun is more transparent across the target readership. - **Neizvěstnost / uncertainty:** Some national logic texts reserve a konsekvent-type loan for the formal term; the edition retains that comparandum while preferring the transparent head. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Some national logic texts reserve a konsekvent-type loan for the formal term; the edition retains that comparandum while preferring the transparent head. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The conclusion or second component of a conditional assertion, written B in the source's material and modal discussion.’, should ‘poslědica’ remain preferred over ‘konsekvent’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0304 · logic.necessity - **Revizija / recording:** `OLISV-T0304-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **necessity** — The modal status expressed by Box A: truth in every relevant possible world, or the corresponding logical notion in S5. - **Medžuslovjansky / Interslavic:** `neobhodnost`; lemma `neobhodnost`; Cyrillic `необходност` - **Gramatika / use:** feminine noun. Feminine neobhodnost; genitive neobhodnosti. Use neobhodno as the neuter predicative adverb/adjective surface. - **Argumentacija / rationale:** Neobhodnost follows the direct necessity family and cleanly distinguishes the modal status from mere truth in one world. The source's Box explanation and S5 characterization provide the specialist boundary. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 28-35 and 79-81 · Necessary truth and logical necessity in the modal introduction - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 28-35 and 79-81 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=33109; lemma=neobhodimosť; gloss=necessity, indispensability (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=33105; lemma=neobhodimy; gloss=necessary, essential (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 47, 49, 71, 90, 96 - **Alternativy / alternatives:** `nujnost` — The short South-Slavic-oriented form is possible, but neobhodnost is directly evidenced and remains immediately recognizable in East and West Slavic contexts. - **Neizvěstnost / uncertainty:** National mathematical registers divide between neobhodnost, konieczność, nutnost, and nužnost; no single national form is treated as authoritative. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National mathematical registers divide between neobhodnost, konieczność, nutnost, and nužnost; no single national form is treated as authoritative. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The modal status expressed by Box A: truth in every relevant possible world, or the corresponding logical notion in S5.’, should ‘neobhodnost’ remain preferred over ‘nujnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0305 · logic.possibility - **Revizija / recording:** `OLISV-T0305-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **possibility** — The modal status expressed by Diamond A, read as A holding in at least one accessible possible world. - **Medžuslovjansky / Interslavic:** `možlivosť`; lemma `možlivosť`; Cyrillic `можливост` - **Gramatika / use:** feminine noun. Feminine možlivosť; genitive možlivosti. Use možlivo or može byti for predicative paraphrases. - **Argumentacija / rationale:** Možlivosť is the direct possibility head and pairs naturally with the established možlivy adjective. The source's abbreviation and possible-world wording fix the modal rather than ordinary-opportunity sense. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 26-38 · Possible-world and Diamond explanation - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 26-38 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=2752; lemma=možlivosť; gloss=possibility, occasion (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=280; lemma=možlivy; gloss=possible (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `možnosť` — The shorter form is common in some national traditions, but the pinned dictionary's možlivosť head and the edition's existing možlivy family make the longer surface explicit. - **Neizvěstnost / uncertainty:** The dictionary gloss includes occasion alongside possibility; the source context is required to select the modal sense. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary gloss includes occasion alongside possibility; the source context is required to select the modal sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The modal status expressed by Diamond A, read as A holding in at least one accessible possible world.’, should ‘možlivosť’ remain preferred over ‘možnosť’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0306 · logic.possible-world - **Revizija / recording:** `OLISV-T0306-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **possible world** — A world considered by the modal semantics as a point at which a formula may or may not hold. - **Medžuslovjansky / Interslavic:** `možlivy svět`; lemma `možlivy svět`; Cyrillic `можливы свєт` - **Gramatika / use:** masculine adjective-noun phrase. Masculine svět; plural možlive světy and genitive možlivogo světa. - **Argumentacija / rationale:** Možlivy svět transparently combines the direct possible adjective with the direct world head and keeps the semantic locus visible to readers across scripts. It does not assert that possible worlds are concrete entities. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 26-29, 35-38, and 43-48 · Possible-world interpretation of necessity and possibility - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 26-29, 35-38, and 43-48 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=280; lemma=možlivy; gloss=possible (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3137; lemma=svět; gloss=world (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `alternativny svět` — An alternative-world phrase can suggest a competing actual history rather than the source's modal semantic point and is less aligned with the direct možlivy evidence. - **Neizvěstnost / uncertainty:** Possible-world ontology is philosophically contested; the term names the source's semantic device and not a metaphysical commitment. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Possible-world ontology is philosophically contested; the term names the source's semantic device and not a metaphysical commitment. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A world considered by the modal semantics as a point at which a formula may or may not hold.’, should ‘možlivy svět’ remain preferred over ‘alternativny svět’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0307 · logic.box-operator - **Revizija / recording:** `OLISV-T0307-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **box operator** — The modal operator Box, written □, asserting that its argument is necessarily true. - **Medžuslovjansky / Interslavic:** `operator neobhodnosti`; lemma `operator neobhodnosti`; Cyrillic `оператор необходности` - **Gramatika / use:** masculine noun phrase. Masculine operator; genitive operatora neobhodnosti. The symbol is written $\Box$. - **Argumentacija / rationale:** Operator neobhodnosti names the symbol by its semantic function rather than its typographic shape, while the source explicitly introduces Box and its necessary-truth reading. This avoids a reader having to infer what 'square' means. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 31-38 · Introduction of the box operator and necessary-truth reading - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 31-38 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=33109; lemma=neobhodimosť; gloss=necessity (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `operator kvadrata` — A literal typographic calque is understandable but hides the operator's logical role and can be confused with a square-operation symbol. - **Neizvěstnost / uncertainty:** National texts may call the symbol box, square, or necessity operator; the canon records the semantic choice and preserves the source notation. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National texts may call the symbol box, square, or necessity operator; the canon records the semantic choice and preserves the source notation. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The modal operator Box, written □, asserting that its argument is necessarily true.’, should ‘operator neobhodnosti’ remain preferred over ‘operator kvadrata’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0308 · logic.diamond-operator - **Revizija / recording:** `OLISV-T0308-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **diamond operator** — The modal operator Diamond, written ◇, expressing possibility and defined in the source as not-Box-not. - **Medžuslovjansky / Interslavic:** `operator možlivosti`; lemma `operator možlivosti`; Cyrillic `оператор можливости` - **Gramatika / use:** masculine noun phrase. Masculine operator; genitive operatora možlivosti. The symbol is written $\Diamond$. - **Argumentacija / rationale:** Operator možlivosti makes the Diamond symbol's possible reading explicit and retains the exact abbreviation formula. The term is paired with operator neobhodnosti, not treated as an independent translation witness. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 36-38 and 59-64 · Diamond abbreviation, possible reading, and application examples - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 36-38 and 59-64 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=2752; lemma=možlivosť; gloss=possibility (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 52 - **Alternativy / alternatives:** `operator diamanta` — A shape-based calque is less informative than the direct possibility function and risks treating the symbol as a geometric object. - **Neizvěstnost / uncertainty:** The source's consistency gloss in provability logic is a pedagogical simplification; this entry names the general modal operator only. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source's consistency gloss in provability logic is a pedagogical simplification; this entry names the general modal operator only. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The modal operator Diamond, written ◇, expressing possibility and defined in the source as not-Box-not.’, should ‘operator možlivosti’ remain preferred over ‘operator diamanta’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0309 · logic.accessibility-relation - **Revizija / recording:** `OLISV-T0309-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **accessibility relation** — The binary relation R between worlds that determines which worlds must be considered from a given world. - **Medžuslovjansky / Interslavic:** `odnošenje dostųpnosti`; lemma `odnošenje dostųpnosti`; Cyrillic `одношење доступности` - **Gramatika / use:** neuter noun phrase. Neuter odnošenje; genitive odnošenja dostųpnosti. Use dostųpny for a world reachable under the relation. - **Argumentacija / rationale:** Odnošenje dostųpnosti combines the direct relation and accessibility families and states the source's world-to-world role without importing a national spelling. The compatibility gloss is retained as an interpretation, not as a redefinition of R. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 43-48 and 81-89 · Binary world relation, compatibility reading, and S4/S5 frame restrictions - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 43-48 and 81-89 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1992; lemma=odnošeńje; gloss=relation, relationship (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=6045; lemma=dostųpnosť; gloss=accessibility (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3054; lemma=dostųpny; gloss=accessible, reachable (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 61, 98, 100 - **Alternativy / alternatives:** `odnošenje sovmestnosti` — Compatibility is one intuitive reading of R(p,q), but the source also uses reflexive, transitive, and universal restrictions; accessibility names the wider formal role. - **Neizvěstnost / uncertainty:** The exact national technical noun varies between accessibility and reachability families; no native certification is claimed for the compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact national technical noun varies between accessibility and reachability families; no native certification is claimed for the compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The binary relation R between worlds that determines which worlds must be considered from a given world.’, should ‘odnošenje dostųpnosti’ remain preferred over ‘odnošenje sovmestnosti’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0310 · logic.intensional - **Revizija / recording:** `OLISV-T0310-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **intensional logic** — A logic whose semantics ranges over a richer ontology or multiple worlds rather than only the actual world. - **Medžuslovjansky / Interslavic:** `intensionalna logika`; lemma `intensionalna logika`; Cyrillic `интенсионална логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive intensionalnoj logiky. - **Argumentacija / rationale:** Intensionalna logika preserves the source's established international contrast with extensional logic and lets the following ontology explanation carry the specialist sense. No unsupported dictionary claim is made for the full philosophical compound. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 50-57 · Intensional/extensional contrast and reinterpretation of modal operators - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 50-57 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logika značenja` — A meaning-logic paraphrase is too broad and loses continuity with the established intensional/extensional literature pair. - **Neizvěstnost / uncertainty:** Intension/extension terminology is theory-laden and national spellings vary; this is an edition-level international form. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Intension/extension terminology is theory-laden and national spellings vary; this is an edition-level international form. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logic whose semantics ranges over a richer ontology or multiple worlds rather than only the actual world.’, should ‘intensionalna logika’ remain preferred over ‘logika značenja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0311 · logic.provability - **Revizija / recording:** `OLISV-T0311-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **provability logic** — A modal application in which Box A is read as A being provable and Diamond A as A being consistent. - **Medžuslovjansky / Interslavic:** `logika dokazlivosti`; lemma `logika dokazlivosti`; Cyrillic `логика доказливости` - **Gramatika / use:** feminine noun phrase. Feminine logika; genitive logiky dokazlivosti. - **Argumentacija / rationale:** Logika dokazlivosti makes the source's provable reading compositional from the direct proof family. The source's consistency gloss remains a documented application-level simplification rather than a hidden lexical expansion. - **Uvěrjenost / status:** 0.84 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 59-60 · First modal-application item for provability and consistency - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 59-60 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=7161; lemma=dokazati; gloss=prove (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=2041; lemma=dokaz; gloss=proof, evidence (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logika dokazov` — A proof-objects phrase does not express the modal property of being provable and is less aligned with the national provability forms. - **Neizvěstnost / uncertainty:** The adjective dokazlivy is derived rather than directly listed in the frozen dictionary; the source fixes its modal application. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The adjective dokazlivy is derived rather than directly listed in the frozen dictionary; the source fixes its modal application. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A modal application in which Box A is read as A being provable and Diamond A as A being consistent.’, should ‘logika dokazlivosti’ remain preferred over ‘logika dokazov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0312 · logic.epistemic - **Revizija / recording:** `OLISV-T0312-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **epistemic logic** — A modal application in which Box A can express an agent's knowledge or belief about A. - **Medžuslovjansky / Interslavic:** `epistemična logika`; lemma `epistemična logika`; Cyrillic `епистемична логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive epistemičnoj logiky. - **Argumentacija / rationale:** Epistemična logika follows the international epistemic label and preserves the source's paired knowledge/belief examples. The wording does not pretend that knowledge and belief are formally identical. - **Uvěrjenost / status:** 0.85 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 61-62 · Knowledge/belief reading in the modal-application list - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 61-62 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logika znanja` — A native paraphrase is readable but too narrow for the source, which explicitly includes belief and the broader epistemic application. - **Neizvěstnost / uncertainty:** The source places knowledge and belief together; the canon records that pedagogical conflation instead of silently choosing a doxastic subtheory. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source places knowledge and belief together; the canon records that pedagogical conflation instead of silently choosing a doxastic subtheory. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A modal application in which Box A can express an agent's knowledge or belief about A.’, should ‘epistemična logika’ remain preferred over ‘logika znanja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0313 · logic.temporal - **Revizija / recording:** `OLISV-T0313-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **temporal logic** — A modal application in which Box A may mean that A is always true and Diamond A that A is sometimes true. - **Medžuslovjansky / Interslavic:** `temporalna logika`; lemma `temporalna logika`; Cyrillic `темпорална логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive temporalnoj logiky. - **Argumentacija / rationale:** Temporalna logika retains the internationally searchable temporal label and the source's always/sometimes contrast. It is accompanied by the source definition rather than overclaiming a particular branching-time semantics. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 63-64 · Always/sometimes reading in the modal-application list - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 63-64 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `časova logika` — The native time adjective can suggest ordinary chronology and is less stable across the six comparison languages than the transparent international temporal form. - **Neizvěstnost / uncertainty:** The source leaves tense, direction, and branching structure underspecified; this entry names the application class only. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source leaves tense, direction, and branching structure underspecified; this entry names the application class only. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A modal application in which Box A may mean that A is always true and Diamond A that A is sometimes true.’, should ‘temporalna logika’ remain preferred over ‘časova logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0314 · logic.necessitation-rule - **Revizija / recording:** `OLISV-T0314-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **necessitation rule** — The rule allowing one to infer Box A from A in the modal proof system described by the source. - **Medžuslovjansky / Interslavic:** `pravilo neobhodnosti`; lemma `pravilo neobhodnosti`; Cyrillic `правило необходности` - **Gramatika / use:** neuter noun phrase. Neuter pravilo; genitive pravila neobhodnosti. The rule is quoted as iz A zaključite Box A. - **Argumentacija / rationale:** Pravilo neobhodnosti names the exact inference displayed in the source and keeps its semantic purpose explicit. The formal quotation remains unchanged, so readers can distinguish the rule name from the rule's notation. - **Uvěrjenost / status:** 0.92 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 67-77 · S4 rule from A to Box A and transition to S5 - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 67-77 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3087; lemma=pravilo; gloss=rule (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=33109; lemma=neobhodimosť; gloss=necessity (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 90 - **Alternativy / alternatives:** `pravilo operatora` — The operator-only label does not say what inference is licensed and could refer to introduction or elimination rules more generally. - **Neizvěstnost / uncertainty:** Different proof calculi impose side conditions on necessitation; this entry records the rule as stated in the bounded source, not every calculus variant. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Different proof calculi impose side conditions on necessitation; this entry records the rule as stated in the bounded source, not every calculus variant. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The rule allowing one to infer Box A from A in the modal proof system described by the source.’, should ‘pravilo neobhodnosti’ remain preferred over ‘pravilo operatora’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0315 · logic.universal-relation - **Revizija / recording:** `OLISV-T0315-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **universal relation** — A relation holding from every world to every other world, used in the source's S5 frame description. - **Medžuslovjansky / Interslavic:** `universalno odnošenje`; lemma `universalno odnošenje`; Cyrillic `универсално одношење` - **Gramatika / use:** neuter adjective-noun phrase. Neuter odnošenje; genitive universalnogo odnošenja. Preserve the source's every-world consequence and its pedagogical boundary. - **Argumentacija / rationale:** Universalno odnošenje directly composes the universal adjective and relation head and mirrors the source's explicit explanation that every world is accessible from every other. The canon flags the standard S5 equivalence nuance as adverse evidence instead of silently rewriting the source. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-MODAL-LOGICS` · lines 84-89 · S5 universal accessibility relation and Box truth condition - **Evidence loci:** `OL-FOL-BEYOND-MODAL-LOGICS` lines 84-89 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3072; lemma=universaľny; gloss=universal (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1992; lemma=odnošeńje; gloss=relation (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/modal-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `ekvivalenčno odnošenje` — An equivalence relation is a common standard-frame characterization, but replacing the source's universal wording would erase a meaningful pedagogical claim and its exact truth consequence. - **Neizvěstnost / uncertainty:** The source's universal relation is a pedagogical simplification of standard S5 frame conditions; no claim is made that the source exhausts the model-theoretic theory. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source's universal relation is a pedagogical simplification of standard S5 frame conditions; no claim is made that the source exhausts the model-theoretic theory. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relation holding from every world to every other world, used in the source's S5 frame description.’, should ‘universalno odnošenje’ remain preferred over ‘ekvivalenčno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0316 · proof.deductive-system - **Revizija / recording:** `OLISV-T0316-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **deductive system** — A formal system of rules used to derive conclusions and assessed in the source for completeness relative to a semantics. - **Medžuslovjansky / Interslavic:** `deduktivny sistem`; lemma `deduktivny sistem`; Cyrillic `дедуктивны систем` - **Gramatika / use:** masculine adjective-noun phrase. Masculine sistem; genitive deduktivnogo sistema and plural deduktivne sistemy. - **Argumentacija / rationale:** Deduktivny sistem combines the directly attested adjective with the edition's established masculine sistem head. It is kept distinct from the broader sistem izvodženja: the source first names a deductive system and then separately marks the derivation system whose completeness matters. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 14-18 · Deductive-system construction and completeness requirement - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 14-18 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=25163; lemma=deduktivny; gloss=deductive (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1317; lemma=sistema; gloss=system (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `sistem izvodženja` — That established broader term correctly translates derivation system later in the sentence, but collapsing the two source labels would erase the deliberate lexical distinction. - **Neizvěstnost / uncertainty:** The frozen dictionary lists feminine sistema while the edition consistently uses masculine sistem; the normalization is explicit rather than presented as a dictionary quotation. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary lists feminine sistema while the edition consistently uses masculine sistem; the normalization is explicit rather than presented as a dictionary quotation. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formal system of rules used to derive conclusions and assessed in the source for completeness relative to a semantics.’, should ‘deduktivny sistem’ remain preferred over ‘sistem izvodženja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0317 · logic.formal - **Revizija / recording:** `OLISV-T0317-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **formal logic** — A logic presented through an explicit formal syntax, deductive apparatus, and semantics rather than only ordinary-language argument. - **Medžuslovjansky / Interslavic:** `formalna logika`; lemma `formalna logika`; Cyrillic `формална логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive formalnoj logiky and plural formalne logiky. - **Argumentacija / rationale:** Formalna logika uses the universally transparent formal/logika pair and the edition's regular adjective agreement. The source supplies the field sense; the normalized l spelling avoids presenting the dictionary's soft-l notation as mandatory in running text. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · line 22 · Explosion of formal logics in recent decades - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` line 22 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=20376; lemma=formaľny; gloss=formal (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `formaľna logika` — This mirrors the frozen dictionary's marked soft-l surface, but the running edition normalizes the international adjective to formalna for consistency and accessibility. - **Neizvěstnost / uncertainty:** The orthographic normalization from formaľny to formalny is an edition choice and is not a claim that the frozen lemma is erroneous. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The orthographic normalization from formaľny to formalny is an edition choice and is not a claim that the frozen lemma is erroneous. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logic presented through an explicit formal syntax, deductive apparatus, and semantics rather than only ordinary-language argument.’, should ‘formalna logika’ remain preferred over ‘formaľna logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0318 · logic.fuzzy - **Revizija / recording:** `OLISV-T0318-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **fuzzy logic** — A logic designed in the source to model reasoning about vague properties rather than only sharply binary classifications. - **Medžuslovjansky / Interslavic:** `razmyta logika`; lemma `razmyta logika`; Cyrillic `размыта логика` - **Gramatika / use:** feminine participial-adjective noun phrase. Feminine logika; genitive razmytoj logiky and plural razmyte logiky. - **Argumentacija / rationale:** Razmyta logika transfers the shared blur metaphor used by several Slavic traditions while retaining the stable logic head. It remains distinct from nejasno svojstvo, so the name of the formalism is not confused with a merely unclear specification. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 23-24 · Fuzzy logic and its vague-property motivation - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 23-24 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=30337; lemma=råzmyti; gloss=blur (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=30338; lemma=råzmyvati; gloss=blur (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 41 - **Alternativy / alternatives:** `nejasna logika` — Nejasny directly serves the source's vague property, but calling the logic itself unclear would suggest defective exposition rather than graded truth or membership. - **Neizvěstnost / uncertainty:** National traditions divide between fuzzy loans, sharpness metaphors, and blur metaphors; razmyta is a transparent edition preference rather than native certification. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National traditions divide between fuzzy loans, sharpness metaphors, and blur metaphors; razmyta is a transparent edition preference rather than native certification. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logic designed in the source to model reasoning about vague properties rather than only sharply binary classifications.’, should ‘razmyta logika’ remain preferred over ‘nejasna logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0319 · logic.vague-property - **Revizija / recording:** `OLISV-T0319-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **vague property** — A property whose applicability is not sharply determined, forming the target of the source's fuzzy-logic example. - **Medžuslovjansky / Interslavic:** `nejasno svojstvo`; lemma `nejasno svojstvo`; Cyrillic `нејасно својство` - **Gramatika / use:** neuter adjective-noun phrase. Neuter svojstvo; genitive nejasnogo svojstva and plural nejasne svojstva. - **Argumentacija / rationale:** Nejasno svojstvo directly composes the frozen vague and property lemmas and remains understandable without prior familiarity with fuzzy-logic jargon. The bounded source fixes vagueness, not general semantic ambiguity. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 23-24 · Object of reasoning modeled by fuzzy logic - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 23-24 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=35264; lemma=nejasny; gloss=unclear, vague (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=22019; lemma=svojstvo; gloss=characteristic, property (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `razmyto svojstvo` — The blur metaphor is useful for the logic's name, but the direct nejasny lemma more exactly denotes the source's property-level vagueness. - **Neizvěstnost / uncertainty:** Vagueness, ambiguity, and uncertainty are distinct technical notions; this entry is limited to the source's vague-property wording. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Vagueness, ambiguity, and uncertainty are distinct technical notions; this entry is limited to the source's vague-property wording. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A property whose applicability is not sharply determined, forming the target of the source's fuzzy-logic example.’, should ‘nejasno svojstvo’ remain preferred over ‘razmyto svojstvo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0320 · logic.probabilistic - **Revizija / recording:** `OLISV-T0320-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **probabilistic logic** — A logic designed in the source to model reasoning involving uncertainty through probabilistic structure. - **Medžuslovjansky / Interslavic:** `věrojętnostna logika`; lemma `věrojętnostna logika`; Cyrillic `вєројетностна логика` - **Gramatika / use:** feminine derived-adjective noun phrase. Feminine logika; genitive věrojętnostnoj logiky and plural věrojętnostne logiky. - **Argumentacija / rationale:** Věrojętnostna logika derives a transparent adjective from the frozen probability head and pairs it with the stable logic noun. The source's uncertainty sentence determines the intended probabilistic field rather than generic likelihood talk. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 24-25 · Probabilistic logic and uncertainty motivation - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 24-25 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=13576; lemma=věrojętnosť; gloss=probability, likelihood (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 42 - **Alternativy / alternatives:** `probabilistična logika` — The international form is searchable but less immediately transparent than the strongly attested věrojętnost family across East and South Slavic. - **Neizvěstnost / uncertainty:** The adjective is productively derived from the listed noun rather than separately attested as a frozen dictionary head. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The adjective is productively derived from the listed noun rather than separately attested as a frozen dictionary head. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logic designed in the source to model reasoning involving uncertainty through probabilistic structure.’, should ‘věrojętnostna logika’ remain preferred over ‘probabilistična logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0321 · logic.uncertainty - **Revizija / recording:** `OLISV-T0321-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **uncertainty** — Lack of determinate information or outcome that the source assigns as the reasoning target of probabilistic logic. - **Medžuslovjansky / Interslavic:** `neoprěděljenost`; lemma `neoprěděljenost`; Cyrillic `неопрєдєљеност` - **Gramatika / use:** feminine abstract noun. Feminine abstract noun; genitive and locative neoprěděljenosti. - **Argumentacija / rationale:** Neoprěděljenost denotes objective indeterminacy and thereby fits the probabilistic source context better than a form centered on a person's lack of confidence. The -ost derivation is regular and broadly recognizable. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 24-25 · Reasoning target modeled by probabilistic logic - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 24-25 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=9609; lemma=neoprěděljeny; gloss=indefinite, indeterminate (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 43 - **Alternativy / alternatives:** `neuvěrjenost` — This would foreground being personally unsure and is narrower than the source's general uncertainty modeled by probabilistic logic. - **Neizvěstnost / uncertainty:** The source does not distinguish aleatory from epistemic uncertainty; the term intentionally remains at that general level. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source does not distinguish aleatory from epistemic uncertainty; the term intentionally remains at that general level. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Lack of determinate information or outcome that the source assigns as the reasoning target of probabilistic logic.’, should ‘neoprěděljenost’ remain preferred over ‘neuvěrjenost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0322 · logic.default - **Revizija / recording:** `OLISV-T0322-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **default logic** — A nonclassical logic that licenses normally applicable assumptions or rules whose conclusions may be withdrawn when new information arrives. - **Medžuslovjansky / Interslavic:** `defaultna logika`; lemma `defaultna logika`; Cyrillic `дефаултна логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive defaultnoj logiky and plural defaultne logiky. At first use, append the explanatory alias logika odzyvatelnyh prědpokladov. - **Argumentacija / rationale:** Defaultna logika preserves the internationally searchable specialist label, while the running-text alias logika odzyvatelnyh prědpokladov makes its defeasible function legible without English. The source's later-withdrawal explanation prevents the alias from being read as an ordinary fixed assumption. - **Uvěrjenost / status:** 0.72 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 25-28 · Default logics grouped with nonmonotonic and defeasible reasoning - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 25-28 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=36575; lemma=prědustavjeńje; gloss=preset, default setting (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=5324; lemma=prědpoklad; gloss=assumption (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logika po umolčanju` — This East-Slavic-style calque is unevenly transparent elsewhere and can be read as a software setting rather than a defeasible logical formalism. - **Neizvěstnost / uncertainty:** The full specialist loan is not directly listed in the frozen dictionary, and the dictionary's default-setting noun is adverse rather than sufficient evidence. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The full specialist loan is not directly listed in the frozen dictionary, and the dictionary's default-setting noun is adverse rather than sufficient evidence. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A nonclassical logic that licenses normally applicable assumptions or rules whose conclusions may be withdrawn when new information arrives.’, should ‘defaultna logika’ remain preferred over ‘logika po umolčanju’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0323 · logic.nonmonotonic - **Revizija / recording:** `OLISV-T0323-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **nonmonotonic logic** — A logic in which adding information can invalidate a previously licensed inference, as explained by the source's overturning clause. - **Medžuslovjansky / Interslavic:** `nemonotonna logika`; lemma `nemonotonna logika`; Cyrillic `немонотонна логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive nemonotonnoj logiky and plural nemonotonne logiky. - **Argumentacija / rationale:** Nemonotonna logika keeps the internationally stable mathematical adjective and applies the regular Interslavic ne- negation. The source's new-information clause protects the term from the everyday sense of monotonous or repetitive. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 25-28 · Nonmonotonic logic and withdrawal under new information - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 25-28 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nepostojanna logika` — Nonconstant or unstable logic is not the source concept; nonmonotonicity concerns loss of inferences under premise expansion. - **Neizvěstnost / uncertainty:** The frozen general dictionary does not directly list the mathematical monotonicity adjective; the source and prior edition use supply the technical boundary. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen general dictionary does not directly list the mathematical monotonicity adjective; the source and prior edition use supply the technical boundary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logic in which adding information can invalidate a previously licensed inference, as explained by the source's overturning clause.’, should ‘nemonotonna logika’ remain preferred over ‘nepostojanna logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0324 · proof.defeasible-reasoning - **Revizija / recording:** `OLISV-T0324-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **defeasible reasoning** — Reasoning whose apparently reasonable conclusions may later be withdrawn when relevant new information is supplied. - **Medžuslovjansky / Interslavic:** `odzyvatelno razsuđanje`; lemma `odzyvatelno razsuđanje`; Cyrillic `одзывателно разсуджање` - **Gramatika / use:** neuter adjective-verbal-noun phrase. Neuter razsuđanje; genitive odzyvateljnogo razsuđanja and contextual genitive plural odzyvatelnyh form razsuđanja. - **Argumentacija / rationale:** Odzyvatelno razsuđanje makes reversibility under new information explicit by combining the withdrawal family with the edition's established razsuđanje head. It avoids importing the misleading everyday sense of weak or easily defeated thought. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 25-28 · Defeasible forms of reasoning explained by later overturning - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 25-28 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=32460; lemma=odzyvati; gloss=withdraw, recall (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=34021; lemma=råzsųđati; gloss=reason (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `odrěčimo razsuđanje` — Odrěkti can suggest verbally denying a claim; the source requires the technical ability to withdraw an inference after information changes. - **Neizvěstnost / uncertainty:** The complete adjective-noun compound is editorial, and defeasible has no single uniformly adopted Slavic calque. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete adjective-noun compound is editorial, and defeasible has no single uniformly adopted Slavic calque. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Reasoning whose apparently reasonable conclusions may later be withdrawn when relevant new information is supplied.’, should ‘odzyvatelno razsuđanje’ remain preferred over ‘odrěčimo razsuđanje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0325 · proof.defeasible-inference - **Revizija / recording:** `OLISV-T0325-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **defeasible inference** — An inference that is licensed as reasonable in the current information state but can later be overturned. - **Medžuslovjansky / Interslavic:** `odzyvatelny vyvod`; lemma `odzyvatelny vyvod`; Cyrillic `одзывателны вывод` - **Gramatika / use:** masculine adjective-noun phrase. Masculine vyvod; genitive odzyvateljnogo vyvoda and plural odzyvatelne vyvody. - **Argumentacija / rationale:** Odzyvatelny vyvod reuses the edition's established vyvod head and directly encodes the source's ability to withdraw it. The quoted reasonable qualifier remains in running prose and is not mistaken for the technical name itself. - **Uvěrjenost / status:** 0.8 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 26-28 · Quoted reasonable inferences that can be overturned - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 26-28 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=32459; lemma=odzvati; gloss=withdraw, recall (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=22276; lemma=izvod; gloss=conclusion, deduction, inference (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `razumny vyvod` — The source places reasonable in quotation marks as an informal gloss; it does not express the crucial possibility of later withdrawal. - **Neizvěstnost / uncertainty:** The frozen dictionary head is izvod while the edition already normalizes the inferential surface to vyvod; that lineage remains explicit. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary head is izvod while the edition already normalizes the inferential surface to vyvod; that lineage remains explicit. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An inference that is licensed as reasonable in the current information state but can later be overturned.’, should ‘odzyvatelny vyvod’ remain preferred over ‘razumny vyvod’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0326 · logic.knowledge - **Revizija / recording:** `OLISV-T0326-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **knowledge** — The epistemic state that the source identifies as an object of reasoning modeled by epistemic logic. - **Medžuslovjansky / Interslavic:** `znanje`; lemma `znanje`; Cyrillic `знање` - **Gramatika / use:** neuter abstract noun. Neuter abstract noun; genitive znanja and locative znanju. - **Argumentacija / rationale:** Znanje is a transparent regular derivative of the pan-Slavic znati base and aligns especially strongly with Ukrainian and South Slavic surfaces. It keeps the abstract epistemic state distinct from acquaintance, expertise, or a collection of facts. - **Uvěrjenost / status:** 0.81 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 28-29 · Object of reasoning modeled by epistemic logic - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 28-29 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=372; lemma=znati; gloss=know (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=14290; lemma=znalosť; gloss=knowledge (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `znalosť` — The frozen noun is directly listed but tends toward acquaintance, familiarity, or skill in several languages; znanje is broader and more transparent in this epistemic context. - **Neizvěstnost / uncertainty:** West Slavic readers may prefer a vědění or wiedza family, while the edition prioritizes the wider East/South znanje pattern. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: West Slavic readers may prefer a vědění or wiedza family, while the edition prioritizes the wider East/South znanje pattern. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The epistemic state that the source identifies as an object of reasoning modeled by epistemic logic.’, should ‘znanje’ remain preferred over ‘znalosť’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0327 · logic.causal - **Revizija / recording:** `OLISV-T0327-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **causal logic** — A logic designed in the source to model reasoning about causal relationships. - **Medžuslovjansky / Interslavic:** `pričinna logika`; lemma `pričinna logika`; Cyrillic `причинна логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive pričinnoj logiky and plural pričinne logiky. - **Argumentacija / rationale:** Pričinna logika combines two direct frozen lemmas and exposes the shared cause root more transparently than the international kauzal- loan. The source limits the compound to a family of logics about causal relationships. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 29-30 · Causal logics and their causal-relationship target - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 29-30 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=37297; lemma=pričinny; gloss=causal (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kauzalna logika` — The international loan is specialist-searchable, but the directly attested pričinny family is more immediately accessible across the intended non-English readership. - **Neizvěstnost / uncertainty:** Some specialist traditions prefer the kauzal- internationalism; it remains recorded as a comparandum rather than the preferred head. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Some specialist traditions prefer the kauzal- internationalism; it remains recorded as a comparandum rather than the preferred head. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logic designed in the source to model reasoning about causal relationships.’, should ‘pričinna logika’ remain preferred over ‘kauzalna logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0328 · logic.causal-relationship - **Revizija / recording:** `OLISV-T0328-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **causal relationship** — A relationship in which one event, condition, or state functions causally with respect to another, as modeled by causal logic in the source. - **Medžuslovjansky / Interslavic:** `pričinna svęź`; lemma `pričinna svęź`; Cyrillic `причинна свез` - **Gramatika / use:** feminine adjective-noun phrase. Feminine use of svęź in this compound; locative plural pričinnyh svęzah. - **Argumentacija / rationale:** Pričinna svęź directly composes the frozen causal and relationship lemmas and yields a broadly recognizable phrase. It names a relation, not merely the everyday fact that two things are associated. - **Uvěrjenost / status:** 0.92 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 29-30 · Relationships modeled by causal logic - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 29-30 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=37297; lemma=pričinny; gloss=causal (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=18741; lemma=svęź; gloss=connection, relationship, bond (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `pričinno odnošenje` — Odnošenje is viable for a formally defined binary relation, but the source uses the broader ordinary-language relationship sense, for which svęź is more transparent. - **Neizvěstnost / uncertainty:** Svęź is listed with variable gender; the edition fixes feminine agreement in this occurrence without claiming universal grammatical exclusivity. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Svęź is listed with variable gender; the edition fixes feminine agreement in this occurrence without claiming universal grammatical exclusivity. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A relationship in which one event, condition, or state functions causally with respect to another, as modeled by causal logic in the source.’, should ‘pričinna svęź’ remain preferred over ‘pričinno odnošenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0329 · logic.deontic - **Revizija / recording:** `OLISV-T0329-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **deontic logic** — A logic designed in the source to model reasoning about moral and ethical obligations. - **Medžuslovjansky / Interslavic:** `deontična logika`; lemma `deontična logika`; Cyrillic `деонтична логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive deontičnoj logiky and plural deontične logiky. - **Argumentacija / rationale:** Deontična logika retains the internationally stable specialist name, while the immediately adjacent obligation definition makes it usable without Greek etymological knowledge. The source's quotation marks are preserved in running prose. - **Uvěrjenost / status:** 0.89 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 30-32 · Quoted deontic-logics label and obligation motivation - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 30-32 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=95; lemma=obvęzȯk; gloss=duty, obligation (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logika obvęzkov` — The descriptive phrase is readable but too narrow for a field that can also formalize permissions and prohibitions; the source itself names the field deontic. - **Neizvěstnost / uncertainty:** The frozen dictionary does not directly list the deontic adjective; the international form is source-bound and edition-level. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary does not directly list the deontic adjective; the international form is source-bound and edition-level. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A logic designed in the source to model reasoning about moral and ethical obligations.’, should ‘deontična logika’ remain preferred over ‘logika obvęzkov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0330 · logic.obligation - **Revizija / recording:** `OLISV-T0330-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **obligation** — A moral or ethical requirement whose logical treatment motivates the deontic systems named by the source. - **Medžuslovjansky / Interslavic:** `obvęzȯk`; lemma `obvęzȯk`; Cyrillic `обвезок` - **Gramatika / use:** masculine noun. Masculine noun; genitive obvęzka and contextual locative plural obvęzkah. - **Argumentacija / rationale:** Obvęzȯk is the direct frozen obligation head and its national columns cover duty, obligation, and commitment. The source's paired moral and ethical adjectives narrow that broad lexical field to the deontic requirement sense. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 31-32 · Moral and ethical obligations modeled by deontic logics - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 31-32 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=95; lemma=obvęzȯk; gloss=duty, obligation, commitment (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=32285; lemma=moraľny; gloss=moral (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=23545; lemma=etičny; gloss=ethical (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `dolžnost` — A duty-family alternative is recognizable but can also denote an office or position; the direct obvęzȯk entry better covers the source's obligation sense. - **Neizvěstnost / uncertainty:** The lemma spans duty, obligation, and commitment; the source context, not the bare word, fixes the logical reading. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The lemma spans duty, obligation, and commitment; the source context, not the bare word, fixes the logical reading. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A moral or ethical requirement whose logical treatment motivates the deontic systems named by the source.’, should ‘obvęzȯk’ remain preferred over ‘dolžnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0331 · logic.mathematical - **Revizija / recording:** `OLISV-T0331-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **mathematical logic** — The mathematical study of formal logical systems, listed by the source as one rubric under which the introduced systems may be studied. - **Medžuslovjansky / Interslavic:** `matematična logika`; lemma `matematična logika`; Cyrillic `математична логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive matematičnoj logiky. - **Argumentacija / rationale:** Matematična logika is a direct, transparent composition whose six-language counterparts are virtually uniform. The source distinguishes the disciplinary rubric from mathematical motivation, and the translation preserves both adjective uses. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 33-36 · Mathematical motivation and mathematical-logic disciplinary rubric - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 33-36 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=36602; lemma=matematičny; gloss=mathematical (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `logika matematiky` — A genitive phrase can mean the logic internal to mathematics rather than the established discipline of mathematical logic. - **Neizvěstnost / uncertainty:** The source does not define the disciplinary boundary; this entry preserves its broad rubric without attempting a narrower taxonomy. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source does not define the disciplinary boundary; this entry preserves its broad rubric without attempting a narrower taxonomy. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The mathematical study of formal logical systems, listed by the source as one rubric under which the introduced systems may be studied.’, should ‘matematična logika’ remain preferred over ‘logika matematiky’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0332 · logic.philosophical - **Revizija / recording:** `OLISV-T0332-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **philosophical logic** — The philosophically motivated study of logical systems, listed by the source as a disciplinary rubric distinct from mathematical logic. - **Medžuslovjansky / Interslavic:** `filozofska logika`; lemma `filozofska logika`; Cyrillic `филозофска логика` - **Gramatika / use:** feminine adjective-noun phrase. Feminine logika; genitive filozofskoj logiky. - **Argumentacija / rationale:** Filozofska logika directly uses the frozen philosophical adjective and stable logic head, avoiding an unnecessary derived filosofi- form. It preserves both the source's motivation adjective and its disciplinary rubric. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 33-36 · Philosophical motivation and philosophical-logic rubric - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 33-36 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=36442; lemma=filozofsky; gloss=philosophical (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=8933; lemma=logika; gloss=logic (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `filosofična logika` — This earlier-looking derivative is understandable but diverges from the direct frozen filozofsky head and the strongest South/West Slavic correspondences. - **Neizvěstnost / uncertainty:** Russian and Bulgarian retain an s spelling where several other languages use z; the Interslavic dictionary's filozofsky surface governs this edition choice. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Russian and Bulgarian retain an s spelling where several other languages use z; the Interslavic dictionary's filozofsky surface governs this edition choice. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The philosophically motivated study of logical systems, listed by the source as a disciplinary rubric distinct from mathematical logic.’, should ‘filozofska logika’ remain preferred over ‘filosofična logika’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0333 · computability.artificial-intelligence - **Revizija / recording:** `OLISV-T0333-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **artificial intelligence** — The field of constructing or studying intelligent computational systems, named by the source as one home for investigations of nonclassical logics. - **Medžuslovjansky / Interslavic:** `umětna inteligencija`; lemma `umětna inteligencija`; Cyrillic `умєтна интелигенција` - **Gramatika / use:** feminine adjective-noun phrase. Feminine inteligencija; genitive umětnoj inteligencije. - **Argumentacija / rationale:** Umětna inteligencija is the exact frozen full phrase and gives a readable Slavic counterpart rather than importing English AI. The source fixes only its role as a research rubric, not a comprehensive definition of the field. - **Uvěrjenost / status:** 0.99 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 33-36 · Artificial-intelligence disciplinary rubric for the introduced systems - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 33-36 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=23046; lemma=umětna inteligencija; gloss=artificial intelligence (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `umětny intelekt` — This East/South-oriented alternative is recognizable, but the frozen dictionary directly supplies the complete umětna inteligencija phrase with broad West/South support. - **Neizvěstnost / uncertainty:** National languages divide between intelligence and intellect heads; the directly frozen Interslavic phrase resolves the edition choice. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National languages divide between intelligence and intellect heads; the directly frozen Interslavic phrase resolves the edition choice. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The field of constructing or studying intelligent computational systems, named by the source as one home for investigations of nonclassical logics.’, should ‘umětna inteligencija’ remain preferred over ‘umětny intelekt’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0334 · computability.cognitive-science - **Revizija / recording:** `OLISV-T0334-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **cognitive science** — The interdisciplinary study of cognition, named by the source as another field in which the introduced logical systems may be investigated. - **Medžuslovjansky / Interslavic:** `kognitivna nauka`; lemma `kognitivna nauka`; Cyrillic `когнитивна наука` - **Gramatika / use:** feminine adjective-noun phrase. Feminine nauka; genitive kognitivnoj nauky. - **Argumentacija / rationale:** Kognitivna nauka preserves the widely shared international adjective and pairs it with the direct pan-Slavic nauka head. Its transparent composition is preferable to importing the English field name or forcing a narrower psychology label. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 33-36 · Cognitive-science disciplinary rubric for the introduced systems - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 33-36 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=2005; lemma=nauka; gloss=science (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nauka poznanja` — A cognition-as-knowing paraphrase is too narrow for a field that also covers perception, language, memory, and computation. - **Neizvěstnost / uncertainty:** Polish often lexicalizes the discipline as kognitywistyka and Czech prefers věda; the Interslavic phrase is compositional rather than a claim of identical national naming. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish often lexicalizes the discipline as kognitywistyka and Czech prefers věda; the Interslavic phrase is compositional rather than a claim of identical national naming. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The interdisciplinary study of cognition, named by the source as another field in which the introduced logical systems may be investigated.’, should ‘kognitivna nauka’ remain preferred over ‘nauka poznanja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0335 · computability.computational-adjective - **Revizija / recording:** `OLISV-T0335-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **computational** — Pertaining to computation, used by the source both for properties of a logic and for a primary motivation for introducing systems. - **Medžuslovjansky / Interslavic:** `izčisliteljny`; lemma `izčisliteljny`; Cyrillic `изчислитељны` - **Gramatika / use:** adjective. Masculine izčisliteljny, feminine izčisliteljna, neuter izčisliteljno, plural izčisliteljne. - **Argumentacija / rationale:** Izčisliteljny transparently derives an adjective from the edition's established izčisljati/izčisljenje computation family and remains distinct from izčislimy, which means computable. The source needs the broader relational adjective for properties and motivation. - **Uvěrjenost / status:** 0.85 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-FOL-BEYOND-OTHER-LOGICS` · lines 19-20 and 33-36 · Computational properties and computational motivation - **Evidence loci:** `OL-FOL-BEYOND-OTHER-LOGICS` lines 19-20 and 33-36 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=5878; lemma=izčisljati; gloss=calculate, compute (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=3417; lemma=izčisljeńje; gloss=calculation (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/other-logics.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `izčislimy` — Computable asserts that an object can be computed; computational only relates a property or motivation to computation, so substituting it would change the source's claim. - **Neizvěstnost / uncertainty:** The exact adjective is productively derived rather than a standalone frozen lemma, and national languages divide between calculation and computer-oriented roots. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact adjective is productively derived rather than a standalone frozen lemma, and national languages divide between calculation and computer-oriented roots. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Pertaining to computation, used by the source both for properties of a logic and for a primary motivation for introducing systems.’, should ‘izčisliteljny’ remain preferred over ‘izčislimy’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0336 · model-theory.incomplete-material - **Revizija / recording:** `OLISV-T0336-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **incomplete** — Not yet containing all material needed for the model-theory part to serve its intended expository function; an editorial-development status, not metalogical incompleteness. - **Medžuslovjansky / Interslavic:** `nepȯlny`; lemma `nepȯlny`; Cyrillic `неполны` - **Gramatika / use:** adjective. Agree with the head noun: nepȯlny material, nepȯlna čęst, nepȯlno izloženje. Running standard-flavor prose may use nepolne; do not use this entry for logical incompleteness. - **Argumentacija / rationale:** The directly pinned native full-family head maximizes East/West/South transparency and describes unfinished coverage without importing the formal property of incompleteness. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-PART` · lines 10-13 · Editorial statement that the model-theory material remains incomplete - **Evidence loci:** `OL-MODEL-THEORY-PART` lines 10-13 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9107]; dictionary_id=28465; lemma=nepȯlny; gloss=incomplete, not full (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=19889; lemma=nekompletny; gloss=incomplete (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/model-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nekompletny` — The international loan is intelligible but less pan-Slavically native and may suggest a defective object rather than work still needing content. - **Neizvěstnost / uncertainty:** The term must remain separate from logical incompleteness and incompleteness theorems. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The term must remain separate from logical incompleteness and incompleteness theorems. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Not yet containing all material needed for the model-theory part to serve its intended expository function; an editorial-development status, not metalogical incompleteness.’, should ‘nepȯlny’ remain preferred over ‘nekompletny’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0337 · model-theory.experimental-material - **Revizija / recording:** `OLISV-T0337-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **experimental** — Presented provisionally as material still being tried and developed, rather than as a mature finished textbook treatment. - **Medžuslovjansky / Interslavic:** `eksperimentaľny`; lemma `eksperimentaľny`; Cyrillic `експерименталны` - **Gramatika / use:** adjective. Agree regularly with the head noun. The canonical dictionary head is eksperimentaľny; running standard-flavor prose uses normalized eksperimentalny/eksperimentalne surfaces. - **Argumentacija / rationale:** The exact international head is directly attested and supplies the strongest six-tradition convergence. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-PART` · lines 10-11 · Editorial experimental-development status of the model-theory material - **Evidence loci:** `OL-MODEL-THEORY-PART` lines 10-11 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6523]; dictionary_id=20374; lemma=eksperimentaľny; gloss=experimental (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6523]; dictionary_id=20374; lemma=eksperimentaľny; gloss=experimental (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/model-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `pokusny` — The West-oriented trial adjective is less uniform and may denote a test specimen rather than developmental editorial status. - **Neizvěstnost / uncertainty:** This is an editorial-development status, not experimental logic or an empirical experiment. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: This is an editorial-development status, not experimental logic or an empirical experiment. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Presented provisionally as material still being tried and developed, rather than as a mature finished textbook treatment.’, should ‘eksperimentaľny’ remain preferred over ‘pokusny’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0338 · model-theory.adaptation - **Revizija / recording:** `OLISV-T0338-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **adaptation** — A version of an existing set of notes modified for use as this Open Logic model-theory part. - **Medžuslovjansky / Interslavic:** `adaptacija`; lemma `adaptacija`; Cyrillic `адаптација` - **Gramatika / use:** feminine noun. Genitive singular adaptacije, instrumental adaptacijeju, and nominative plural adaptacije. - **Argumentacija / rationale:** The exact dictionary lemma has unanimous international support and cleanly names a derived textual version. - **Uvěrjenost / status:** 0.99 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-PART` · lines 11-12 · Textual adaptation of Aldo Antonelli's notes - **Evidence loci:** `OL-MODEL-THEORY-PART` lines 11-12 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[283]; dictionary_id=24068; lemma=adaptacija; gloss=adaptation (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=18495; lemma=prisposobjeńje; gloss=customisation, adaptation, adjustment (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/model-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `prisposobjeńje` — This emphasizes adjustment or customization and is less exact and less uniform for a derived textual edition. - **Neizvěstnost / uncertainty:** The entry is bounded to textual adaptation, not biological adaptation or adaptation as a property. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The entry is bounded to textual adaptation, not biological adaptation or adaptation as a property. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A version of an existing set of notes modified for use as this Open Logic model-theory part.’, should ‘adaptacija’ remain preferred over ‘prisposobjeńje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0339 · model-theory.scholarly-notes - **Revizija / recording:** `OLISV-T0339-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **notes** — Authored scholarly teaching or lecture notes serving as the source from which the model-theory material was adapted. - **Medžuslovjansky / Interslavic:** `zapiska`; lemma `zapiska`; Cyrillic `записка` - **Gramatika / use:** feminine noun. Genitive singular zapisky and nominative plural zapisky; the source genitive plural is zapisok. - **Argumentacija / rationale:** The direct nonmusical note head is broadly recognizable; source syntax supplies the collected scholarly-notes reading. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-PART` · lines 11-12 · Aldo Antonelli's scholarly notes used as adaptation source - **Evidence loci:** `OL-MODEL-THEORY-PART` lines 11-12 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11846]; dictionary_id=6251; lemma=zapiska; gloss=note (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=23451; lemma=nota; gloss=note (music) (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/model-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nota` — The pinned nota entry is restricted to a musical note and would change the source sense. - **Neizvěstnost / uncertainty:** The lemma can denote an individual note; the authored-document reading depends on source context and plural syntax. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The lemma can denote an individual note; the authored-document reading depends on source context and plural syntax. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Authored scholarly teaching or lecture notes serving as the source from which the model-theory material was adapted.’, should ‘zapiska’ remain preferred over ‘nota’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0340 · model-theory.introduction - **Revizija / recording:** `OLISV-T0340-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **introduction** — Introductory exposition that orients readers to the model-theory material before detailed development. - **Medžuslovjansky / Interslavic:** `vvedenje`; lemma `vvedeńje`; Cyrillic `введење` - **Gramatika / use:** neuter noun. Genitive singular and nominative plural vvedeńja. The dictionary head preserves its marked notation; the preferred running surface is normalized vvedenje/vvedenja so the official Cyrillic projector can distinguish ordinary nj from the protected ńj boundary. - **Argumentacija / rationale:** The exact introduction head is unambiguous; the pinned row documents divergent but recognizable West/South counterparts. The dictionary lemma remains visible while the preferred running surface uses the standard-flavor spelling required for deterministic projection. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-PART` · line 14 · Missing introductory exposition needed by the part - **Evidence loci:** `OL-MODEL-THEORY-PART` line 14 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9507]; dictionary_id=3685; lemma=vvedeńje; gloss=introduction (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9508]; dictionary_id=22271; lemma=vvod; gloss=introduction, preface (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/model-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `vvod` — The alternative also means preface and is broader than the explanatory introduction required here. - **Neizvěstnost / uncertainty:** National forms divide between vved- and uvod families; the selection is a reversible edition compromise. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National forms divide between vved- and uvod families; the selection is a reversible edition compromise. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Introductory exposition that orients readers to the model-theory material before detailed development.’, should ‘vvedenje’ remain preferred over ‘vvod’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0341 · model-theory.motivation - **Revizija / recording:** `OLISV-T0341-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **motivation** — Exposition explaining why the model-theory topics and results matter and why they are introduced. - **Medžuslovjansky / Interslavic:** `motivacija`; lemma `motivacija`; Cyrillic `мотивација` - **Gramatika / use:** feminine abstract noun. Genitive singular motivacije and nominative plural motivacije; use motivacija za with an accusative complement. - **Argumentacija / rationale:** The direct lemma is transparent and completely convergent across the comparison traditions. - **Uvěrjenost / status:** 0.99 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-PART` · line 14 · Missing pedagogical motivation needed by the part - **Evidence loci:** `OL-MODEL-THEORY-PART` line 14 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11366]; dictionary_id=646; lemma=motivacija; gloss=motivation (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=32628; lemma=motiv; gloss=motive (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/model-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `motiv` — Motiv means a motive rather than the pedagogical explanatory material requested by the source. - **Neizvěstnost / uncertainty:** The entry is bounded to pedagogical motivation in this source. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The entry is bounded to pedagogical motivation in this source. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Exposition explaining why the model-theory topics and results matter and why they are introduced.’, should ‘motivacija’ remain preferred over ‘motiv’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0342 · model-theory.explanation - **Revizija / recording:** `OLISV-T0342-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **explanation** — Expository material that makes the model-theory content and its reasoning understandable. - **Medžuslovjansky / Interslavic:** `objasnjenje`; lemma `objasnjeńje`; Cyrillic `објасњење` - **Gramatika / use:** neuter noun. Genitive singular and nominative plural objasnjeńja. The dictionary head remains objasnjeńje; the preferred running surface is normalized objasnjenje/objasnjenja, whose nj sequences are projected deterministically by the pinned official scheme. - **Argumentacija / rationale:** The direct explanation head has especially strong South-Slavic identity and clear recognition elsewhere. The marked dictionary lemma is retained for evidence, while the preferred running surface is normalized for the official script projection. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-PART` · line 14 · Missing explanatory exposition needed by the part - **Evidence loci:** `OL-MODEL-THEORY-PART` line 14 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6528]; dictionary_id=3608; lemma=objasnjeńje; gloss=explanation (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6528]; dictionary_id=3608; lemma=objasnjeńje; gloss=explanation (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/model-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `tolkovanje` — An interpretation/commentary family is narrower than the general explanatory material required here. - **Neizvěstnost / uncertainty:** Keep this general expository sense distinct from formal justification, proof, and causal explanation. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Keep this general expository sense distinct from formal justification, proof, and causal explanation. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Expository material that makes the model-theory content and its reasoning understandable.’, should ‘objasnjenje’ remain preferred over ‘tolkovanje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0343 · model-theory.exercise - **Revizija / recording:** `OLISV-T0343-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **exercise** — A pedagogical problem or assigned task through which a textbook reader practices the model-theory material. - **Medžuslovjansky / Interslavic:** `zadanje`; lemma `zadańje`; Cyrillic `задање` - **Gramatika / use:** neuter noun. Genitive singular and nominative plural zadańja. The dictionary head preserves its marked notation; the preferred running surface is normalized zadanje/zadanja for deterministic standard-flavor projection. - **Argumentacija / rationale:** The exact pinned exercise sense belongs to the most broadly shared Slavic task/problem family. The marked dictionary lemma remains the lexical witness, while the preferred running surface is normalized so the official Cyrillic replay is exact. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-PART` · lines 14-15 · Pedagogical exercises needed for textbook usefulness - **Evidence loci:** `OL-MODEL-THEORY-PART` lines 14-15 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16944]; dictionary_id=3958; lemma=zadańje; gloss=task, assignment, exercise (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16944]; dictionary_id=3958; lemma=zadańje; gloss=task, assignment, exercise (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/model-theory.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `upražnjenje` — This plausible exercise form is not the pinned basic-dictionary head and is liable to physical-practice ambiguity. - **Neizvěstnost / uncertainty:** Context must distinguish a pedagogical exercise from a general operational task. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Context must distinguish a pedagogical exercise from a general operational task. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A pedagogical problem or assigned task through which a textbook reader practices the model-theory material.’, should ‘zadanje’ remain preferred over ‘upražnjenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0344 · model-theory.textbook - **Revizija / recording:** `OLISV-T0344-r0001` · `RETROSPECTIVE_PUBLIC_PROJECTION_OF_PRESERVED_CANON_RECORD` - **English lemma / sense:** **textbook** — A book systematically designed for teaching and learning a subject, here model theory. - **Medžuslovjansky / Interslavic:** `učebnik`; lemma `učebnik`; Cyrillic `учебник` - **Gramatika / use:** masculine noun. Genitive singular učebnika and nominative plural učebniki; use učebnik teorije modelov. - **Argumentacija / rationale:** The exact textbook-only head has direct East/South identity and documented West-Slavic counterparts. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-PART` · line 15 · Intended textbook use of the model-theory part - **Evidence loci:** `OL-MODEL-THEORY-PART` line 15 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17102]; dictionary_id=19022; lemma=učebnik; gloss=textbook (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=1116; lemma=podrųčnik; gloss=textbook, handbook (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/model-theory.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 23 - **Alternativy / alternatives:** `podrųčnik` — The alternative also covers handbook or guide, weakening the source's textbook boundary. - **Neizvěstnost / uncertainty:** West Slavic readers may prefer podręcznik or učebnice-family forms; the edition head remains reversible. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: West Slavic readers may prefer podręcznik or učebnice-family forms; the edition head remains reversible. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A book systematically designed for teaching and learning a subject, here model theory.’, should ‘učebnik’ remain preferred over ‘podrųčnik’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0345 · model-theory.basics - **Revizija / recording:** `OLISV-T0345-r0001` · `PRESERVED_PRIOR_PUBLIC_CONTEMPORANEOUS_RECORD` - **English lemma / sense:** **basics of model theory** — The introductory chapter that gathers the foundational topics and prerequisites for the model-theory material. - **Medžuslovjansky / Interslavic:** `osnovy teorije modelov`; lemma `osnova`; Cyrillic `основы теорије моделов` - **Gramatika / use:** noun phrase. Osnovy is the nominative plural of feminine osnova ‘basis, base’; teorije is genitive singular of teorija, and modelov is genitive plural of model. Use Osnovy teorije modelov as the chapter title. - **Argumentacija / rationale:** Osnova is the directly pinned Interslavic basis/base noun, and its nominative plural osnovy is the natural chapter-heading form for foundational material. Teorije modelov reuses the already accepted model-theory inflection, yielding a transparent title across Slavic readers. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-BASICS` · line 8; \olchapter{mod}{bas}{Basics of Model Theory} · English chapter title and bounded introductory scope - **Evidence loci:** `OL-MODEL-BASICS` line 8; \olchapter{mod}{bas}{Basics of Model Theory} (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1719]; dictionary_id=2049; lemma=osnova; gloss=basis, base (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1711]; dictionary_id=2831; lemma=osnovny; gloss=basic, fundamental (RESOLVED); `ISV-GRAMMAR-ADJ` lines 14-18 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/basics.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 8 - **Alternativy / alternatives:** `bazis teorije modelov` — Bazis is intelligible in some Slavic usage but is not the pinned basic-dictionary head for the general basis/base sense and narrows the pan-Slavic root convergence.; `fundamenty teorije modelov` — Fundamenty foregrounds a physical foundation and is less suitable for an introductory chapter whose contents are conceptual prerequisites and definitions. - **Neizvěstnost / uncertainty:** The title is an editorial chapter-heading choice; future corpus context may distinguish osnovy from more specialized foundational terminology. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The title is an editorial chapter-heading choice; future corpus context may distinguish osnovy from more specialized foundational terminology. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The introductory chapter that gathers the foundational topics and prerequisites for the model-theory material.’, should ‘osnovy teorije modelov’ remain preferred over ‘bazis teorije modelov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0346 · model-theory.reduct - **Revizija / recording:** `OLISV-T0346-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **reduct** — The structure obtained from a structure in a larger language by retaining the same domain and forgetting only the interpretations of symbols outside the smaller language. - **Medžuslovjansky / Interslavic:** `redukt`; lemma `redukt`; Cyrillic `редукт` - **Gramatika / use:** masculine noun. Use nominative redukt, genitive redukta, instrumental reduktom, and nominative plural redukty. Reserve redukcija for the operation or process rather than the resulting structure. - **Argumentacija / rationale:** Redukt is the transparent result noun required by the Open Logic definition. Czech teaching material explicitly distinguishes redukce from the resulting redukt, and the Serbian model-theory witness uses redukt in the same restriction-to-a-smaller-language construction. The frozen dictionary confirms the reduk- family across all comparison regions. This is therefore more precise than using redukcija for both process and object. - **Uvěrjenost / status:** 0.89 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-REDUCTS-EXPANSIONS` · lines 24-39; definition defn:reduct · Exact Open Logic definition of the model-theoretic reduct - **Evidence loci:** `OL-MODEL-REDUCTS-EXPANSIONS` lines 12-64, especially definition defn:reduct (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14072]; dictionary_id=30601; lemma=redukcija; gloss=reduction (RESOLVED); `CS-VPL-REDUCT-EXPANSION` physical PDF page 71, printed slides 35-40 (RESOLVED); `SR-KG-REDUCT-EXPANSION-2013` physical PDF page 74, printed page 69 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/reducts-and-expansions.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 10, 28, 44 - **Alternativy / alternatives:** `redukcija struktury` — The dictionary-attested noun primarily names the reduction process; using it for the resulting structure would erase the process-versus-object distinction explicitly visible in Czech specialist usage.; `ograničena struktura` — A restricted-structure paraphrase is understandable but risks confusion with restriction, substructure, or boundedness and lacks the concise specialist symmetry with razširjenje. - **Neizvěstnost / uncertainty:** The pinned Interslavic dictionary contains redukcija but no direct redukt headword; redukt is therefore a specialist editorial formation rather than a claimed general-standard lemma.; Direct exact-sense evidence is strongest in Czech and Serbian; other comparison columns currently establish the root family rather than the complete model-theory term. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The pinned Interslavic dictionary contains redukcija but no direct redukt headword; redukt is therefore a specialist editorial formation rather than a claimed general-standard lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Direct exact-sense evidence is strongest in Czech and Serbian; other comparison columns currently establish the root family rather than the complete model-theory term. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The structure obtained from a structure in a larger language by retaining the same domain and forgetting only the interpretations of symbols outside the smaller language.’, should ‘redukt’ remain preferred over ‘redukcija struktury’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0347 · model-theory.expansion - **Revizija / recording:** `OLISV-T0347-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **expansion** — A structure for a larger language that keeps the same domain and the same interpretations of every symbol from the smaller language while adding interpretations for the additional symbols. - **Medžuslovjansky / Interslavic:** `razširjenje`; lemma `råzširjeńje`; Cyrillic `разширјење` - **Gramatika / use:** neuter noun. The dictionary preserves etymological råzširjeńje; running standard-flavor prose uses razširjenje, genitive razširjenja, instrumental razširjenjem, and nominative plural razširjenja. - **Argumentacija / rationale:** Razširjenje is the direct Interslavic dictionary head for extension and expansion after standard-flavor normalization. Its root is transparent across East, West, and South Slavic comparanda, it already appears consistently in the accepted Henkin-expansion material, and the Serbian model-theory witness uses the cognate proširenje for language expansion. It therefore gives broader practical comprehension than the competing internationalism ekspansija while preserving the exact Open Logic sense. - **Uvěrjenost / status:** 0.98 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-REDUCTS-EXPANSIONS` · lines 12-39 and 59-65; definition defn:reduct and the one-predicate expansion notation · Exact Open Logic definition and use of a model-theoretic expansion - **Evidence loci:** `OL-MODEL-REDUCTS-EXPANSIONS` lines 12-39 and 59-65 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6582], wordList[6499]; dictionary_id=3601,3582 (RESOLVED); `OL-COM-HENKIN-ISV` lines 11, 18, 74-75, and 80-82 (RESOLVED); `CS-VPL-REDUCT-EXPANSION` physical PDF page 71, printed slides 35-40 (RESOLVED); `SR-KG-REDUCT-EXPANSION-2013` physical PDF page 74, printed page 69 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/reducts-and-expansions.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 29, 62, 65; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/henkin-expansions.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 3, 11 - **Alternativy / alternatives:** `ekspansija` — The dictionary directly attests this international alternative, and Czech specialist usage supports it, but the native razšir- family has broader cross-Slavic convergence and already governs the accepted edition's logical expansion prose.; `proširjenje` — This South-Slavic-weighted prefix is directly understandable and domain-attested, but razširjenje better aligns the broader East/West/South dictionary convergence and the edition's existing canonical surface. - **Neizvěstnost / uncertainty:** The dictionary head covers extension, expansion, and widening; the Open Logic locator supplies the specialist model-theory sense boundary.; Czech technical usage favors the competing international expanze, while South-Slavic usage prefers proširenje; the selected razširjenje is an editorial pan-Slavic compromise. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary head covers extension, expansion, and widening; the Open Logic locator supplies the specialist model-theory sense boundary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Czech technical usage favors the competing international expanze, while South-Slavic usage prefers proširenje; the selected razširjenje is an editorial pan-Slavic compromise. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A structure for a larger language that keeps the same domain and the same interpretations of every symbol from the smaller language while adding interpretations for the additional symbols.’, should ‘razširjenje’ remain preferred over ‘ekspansija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0348 · model-theory.substructure - **Revizija / recording:** `OLISV-T0348-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **substructure** — A structure for the same language whose domain is included in a larger structure and whose constants, functions, and predicates agree with the larger structure on that included domain. - **Medžuslovjansky / Interslavic:** `podstruktura`; lemma `podstruktura`; Cyrillic `подструктура` - **Gramatika / use:** feminine noun. Use nominative podstruktura, genitive podstruktury, instrumental podstrukturoju, and nominative plural podstruktury. Keep it distinct from podmnožstvo and from redukt. - **Argumentacija / rationale:** Podstruktura exactly preserves the formal direction of the Open Logic relation and is immediately recognizable across East, West, and South Slavic terminology. Polish provides an almost line-for-line same-signature definition; Czech, Russian, Ukrainian, and Serbian independently attest the same compound in specialist contexts. The shared Interslavic pod and struktura components make the form morphologically transparent while the formal source keeps it distinct from an arbitrary subset and from a reduct. - **Uvěrjenost / status:** 0.99 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-SUBSTRUCTURES` · lines 12-44, especially definition defn:substructure · Exact Open Logic definition and inherited-interpretation conditions - **Evidence loci:** `OL-MODEL-SUBSTRUCTURES` lines 12-44 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16426], wordList[17919]; dictionary_id=16363,737 (RESOLVED); `PL-MIMUW-SUBSTRUCTURES` physical PDF page 4, Definition 16 (RESOLVED); `CS-CUNI-SUBSTRUCTURES` physical PDF page 7, slide 7/15 (RESOLVED); `UK-KPI-ALGEBRAIC-SUBSTRUCTURE` HTML lines 497-499 (RESOLVED); `RU-HSE-MODEL-SUBSTRUCTURE` physical PDF page 2, syllabus items 23 and 34 (RESOLVED); `SR-KG-REDUCT-EXPANSION-2013` physical PDF page 27, printed page 23 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/substructures.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `substruktura` — The Latin international prefix is interpretable, but the directly attested national-language evidence converges more strongly on pod-/pid- and the native prefix is immediately transparent across the target readership.; `podmodel` — A structure becomes a model only relative to a theory, while the Open Logic definition applies to arbitrary structures for one language; using model would narrow the denotation.; `čest struktury` — This explanatory phrase is too broad: the source explicitly warns that domain inclusion alone does not make one structure a formal part of another. - **Neizvěstnost / uncertainty:** The complete compound is not a frozen Interslavic dictionary headword; it is a high-confidence specialist formation from two directly attested components.; The Ukrainian witness is from algebraic structures rather than model theory, while Polish, Czech, Russian, and Serbian supply the closer formal domain. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete compound is not a frozen Interslavic dictionary headword; it is a high-confidence specialist formation from two directly attested components. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The Ukrainian witness is from algebraic structures rather than model theory, while Polish, Czech, Russian, and Serbian supply the closer formal domain. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A structure for the same language whose domain is included in a larger structure and whose constants, functions, and predicates agree with the larger structure on that included domain.’, should ‘podstruktura’ remain preferred over ‘substruktura’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0349 · model-theory.extension-by-domain - **Revizija / recording:** `OLISV-T0349-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **extension** — A structure for the same language whose domain includes that of a substructure and whose interpretations restrict to the substructure interpretations on the smaller domain. - **Medžuslovjansky / Interslavic:** `razširjenje`; lemma `råzširjeńje`; Cyrillic `разширјење` - **Gramatika / use:** neuter noun. Running standard-flavor prose uses razširjenje, genitive razširjenja, instrumental razširjenjem, and nominative plural razširjenja. This entry is sense-distinct from the richer-language expansion recorded by OLISV-T0347. - **Argumentacija / rationale:** Razširjenje is already the directly attested Interslavic head for extension and the accepted edition surface for structure expansion. Reusing it here reflects broad East-West-South convergence, while the separate canon key prevents the same-language larger-domain relation from being confused with OLP-0184's richer-language, same-domain expansion. The Polish evidence combines a direct podstruktura definition with the dictionary's cognate rozszerzenie family; the Serbian source exposes ekstenzija as a real same-neighborhood specialist alternative, but the native family remains more broadly transparent. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-SUBSTRUCTURES` · lines 19-37, especially definition defn:substructure · Exact reverse direction of the Open Logic substructure relation - **Evidence loci:** `OL-MODEL-SUBSTRUCTURES` lines 19-37 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6582]; dictionary_id=3601 (RESOLVED); `PL-MIMUW-SUBSTRUCTURES` physical PDF page 4, Definition 16 (RESOLVED); `SR-KG-REDUCT-EXPANSION-2013` physical PDF page 27, printed page 23 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/substructures.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 24 - **Alternativy / alternatives:** `ekstenzija` — The Serbian source directly attests this internationalism for a structural extension, but the native razšir- family is directly present in the Interslavic dictionary and converges more broadly across the comparison languages.; `nadstruktura` — This would be a transparent reverse compound, but it would create an unnecessary new head where the dictionary already supplies extension and the Open Logic source explicitly labels the reverse relation as extension. - **Neizvěstnost / uncertainty:** The dictionary head is polysemous across extension, expansion, and widening; the canon key and Open Logic locator are therefore required to disambiguate this same-language structural sense.; Serbian exact-domain specialist usage favors ekstenzija, while the selected native family is justified by wider cross-Slavic recognizability. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary head is polysemous across extension, expansion, and widening; the canon key and Open Logic locator are therefore required to disambiguate this same-language structural sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Serbian exact-domain specialist usage favors ekstenzija, while the selected native family is justified by wider cross-Slavic recognizability. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A structure for the same language whose domain includes that of a substructure and whose interpretations restrict to the substructure interpretations on the smaller domain.’, should ‘razširjenje’ remain preferred over ‘ekstenzija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0350 · model-theory.overspill-compactness-corollary - **Revizija / recording:** `OLISV-T0350-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **overspill (compactness corollary)** — The compactness consequence that a set of first-order sentences with arbitrarily large finite models also has an infinite model; here this is not the nonstandard-analysis overspill principle and not computing overflow. - **Medžuslovjansky / Interslavic:** `prěhod k bezkonečnosti`; lemma `prěhod k bezkonečnosti`; Cyrillic `прєход к безконечности` - **Gramatika / use:** masculine noun phrase with dative complement. Use the fixed section-title form prěhod k bezkonečnosti. Outside the title, inflect the head regularly (for example, genitive prěhoda) while keeping k plus dative bezkonečnosti. - **Argumentacija / rationale:** The surveyed Ukrainian and Czech academic treatments present the result as a theorem or example derived from compactness, while the Polish and Croatian sources independently confirm the key finite-model and countably-many-constants wording. No stable cross-Slavic specialist calque of the source label was found in the bounded survey. Prěhod k bezkonečnosti therefore names the exact mathematical movement in transparent, dictionary-attested components and remains immediately parsable to Slavic-language readers without importing the misleading computing-overflow or nonstandard-analysis senses of overspill. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-OVERSPILL` · lines 11-42, especially theorem overspill and proposition inf-not-fo · Exact Open Logic theorem, proof construction, downstream inexpressibility consequence, and source title - **Evidence loci:** `OL-MODEL-OVERSPILL` lines 11-42 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[17556], wordList[9220]; dictionary_id=19506,6519 (RESOLVED); `UK-KNU-COMPACTNESS-INFINITE-MODEL-2023` physical PDF page 95, printed page 94, Theorem 4.20 (RESOLVED); `CS-CUNI-COMPACTNESS-INFINITE-MODEL` physical PDF page 32, printed page 31 (RESOLVED); `PL-UW-ARBITRARILY-LARGE-FINITE-MODELS` physical PDF page 8, problem 12(b,d) (RESOLVED); `HR-ZAGREB-COUNTABLY-MANY-CONSTANTS` physical PDF page 25, printed page 19 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/overspill.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 10 - **Alternativy / alternatives:** `prěpolnjenje` — A literal spill/overflow calque would invite computing-overflow and unrelated logical-explosion senses, while the checked academic theorem sources do not use such a title.; `overspill` — Retaining the unexplained English label would be opaque to readers who do not know English and would collide with the better-known nonstandard-analysis principle; the source label remains recoverable from the English witness and canon key.; `poslědstvo kompaktnosti: bezkonečny model` — This is semantically exact and remains a documented explanatory alternative, but it reads as a synopsis rather than a concise section name and repeats terminology made explicit in the first theorem. - **Neizvěstnost / uncertainty:** The complete Interslavic title is a transparent editorial phrase, not a frozen dictionary headword or directly attested national specialist title.; The bounded survey supports absence of a stable cross-Slavic Overspill calque in the checked sources but cannot prove universal absence across all Slavic scholarship.; Prěhod k bezkonečnosti can be read more broadly outside this section; the canon key and theorem locator fix the compactness-corollary sense. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete Interslavic title is a transparent editorial phrase, not a frozen dictionary headword or directly attested national specialist title. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The bounded survey supports absence of a stable cross-Slavic Overspill calque in the checked sources but cannot prove universal absence across all Slavic scholarship. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The compactness consequence that a set of first-order sentences with arbitrarily large finite models also has an infinite model; here this is not the nonstandard-analysis overspill principle and not computing overflow.’, should ‘prěhod k bezkonečnosti’ remain preferred over ‘prěpolnjenje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0351 · model-theory.elementary-equivalence - **Revizija / recording:** `OLISV-T0351-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **elementary equivalence** — The relation between first-order structures that satisfy exactly the same sentences in the common language. - **Medžuslovjansky / Interslavic:** `elementarna ekvivalentnost`; lemma `elementarna ekvivalentnost`; Cyrillic `елементарна еквивалентност` - **Gramatika / use:** feminine abstract noun phrase. Use elementarna ekvivalentnost for the relation. In predicative and attributive use, inflect elementarno ekvivalentny for the gender, number, and case of the structures being compared. - **Argumentacija / rationale:** Elementarna ekvivalentnost preserves the international elementary-equivalence term family while using two independently published Interslavic components. Direct Ukrainian, Czech, Polish, Montenegrin, and Croatian academic evidence shows that the same transparent family is recognizable across East, West, and South Slavic model theory. The adjective in the translated definition is inflected to agree with struktura, while the canon head remains the abstract name of the relation. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ISOMORPHISM` · lines 12-34 and 62-66 · Exact Open Logic definition and theorem that isomorphism implies elementary equivalence - **Evidence loci:** `OL-MODEL-ISOMORPHISM` lines 12-34 and 62-66 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6009], wordList[6276]; dictionary_id=35208,36133 (RESOLVED); `UK-KNU-ISOMORPHISM-AUTOMORPHISM-ELEMENTARY-EQUIVALENCE-2022` physical/printed PDF page 127 (RESOLVED); `CS-CUNI-ISOMORPHISM-ELEMENTARY-EQUIVALENCE` physical PDF pages 24-25 (RESOLVED); `PL-UW-ISOMORPHISM-AUTOMORPHISM` physical PDF pages 15-18 (RESOLVED); `ME-UCG-MODEL-ISOMORPHISM` physical PDF pages 84-85 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/isomorphism.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `elementarna ravnovrednost` — Ravnovrednost is broadly intelligible but can suggest equal value rather than equivalence with respect to all first-order sentences, and it weakens continuity with the attested specialist ekvivalent- family.; `logična ekvivalentnost struktur` — This risks confusion with logical equivalence of formulas; elementary equivalence is specifically a relation between structures satisfying the same first-order sentences. - **Neizvěstnost / uncertainty:** The official Interslavic dictionary pins the two components separately, not the complete model-theory phrase.; The Ukrainian textbook phrases its definition over formulas; the Open Logic locator remains authority for the edition's sentence-only formulation. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The official Interslavic dictionary pins the two components separately, not the complete model-theory phrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The Ukrainian textbook phrases its definition over formulas; the Open Logic locator remains authority for the edition's sentence-only formulation. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The relation between first-order structures that satisfy exactly the same sentences in the common language.’, should ‘elementarna ekvivalentnost’ remain preferred over ‘elementarna ravnovrednost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0352 · model-theory.structure-isomorphism - **Revizija / recording:** `OLISV-T0352-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **isomorphism of structures** — A bijection between two first-order structures that preserves and reflects constants, predicates, and functions of their common language. - **Medžuslovjansky / Interslavic:** `izomorfizm struktur`; lemma `izomorfizm struktur`; Cyrillic `изоморфизм структур` - **Gramatika / use:** masculine noun with genitive plural complement. Use izomorfizm for the witnessing map and izomorfne struktury for the relation between structures; inflect izomorfizm regularly while the complement marks the compared domain. - **Argumentacija / rationale:** Izomorfizm is the maximally shared international specialist head across the pinned Ukrainian, Polish, Czech, Montenegrin, and Croatian academic sources. The Interslavic ending -izm matches the already accepted canon family and avoids choosing a single national -ismus or -izam ending. Adding struktur disambiguates the model-theory sense from the already recorded Curry–Howard isomorphism while the running prose may use the shorter head where the domain is explicit. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ISOMORPHISM` · lines 36-60 · Exact five-condition definition of structure isomorphism - **Evidence loci:** `OL-MODEL-ISOMORPHISM` lines 36-76 (RESOLVED); `UK-KNU-ISOMORPHISM-AUTOMORPHISM-ELEMENTARY-EQUIVALENCE-2022` physical/printed PDF pages 123-124 (RESOLVED); `UK-KPI-ALGEBRAIC-SUBSTRUCTURE` HTML lines 497-499 (RESOLVED); `CS-CUNI-ISOMORPHISM-ELEMENTARY-EQUIVALENCE` physical PDF pages 24-25 (RESOLVED); `PL-UW-ISOMORPHISM-AUTOMORPHISM` physical PDF page 12 and pages 15-18 (RESOLVED); `HR-ZAGREB-COUNTABLY-MANY-CONSTANTS` additional extract, physical PDF pages 7-9 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/isomorphism.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 123 - **Alternativy / alternatives:** `strukturna jednakost` — Isomorphism is not literal equality: it permits different underlying objects connected by a structure-preserving bijection.; `izomorfnost struktur` — The property noun is usable, but the source immediately defines and repeatedly reasons with the witnessing map; izomorfizm keeps the map and relation terminology aligned. - **Neizvěstnost / uncertainty:** No direct official Interslavic dictionary headword for isomorphism was found in the pinned response.; Russian and Bulgarian surfaces are editorial comparanda here; the edition preference rests on the directly pinned Ukrainian, West-Slavic, and South-Slavic academic family. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct official Interslavic dictionary headword for isomorphism was found in the pinned response. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Russian and Bulgarian surfaces are editorial comparanda here; the edition preference rests on the directly pinned Ukrainian, West-Slavic, and South-Slavic academic family. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A bijection between two first-order structures that preserves and reflects constants, predicates, and functions of their common language.’, should ‘izomorfizm struktur’ remain preferred over ‘strukturna jednakost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0353 · model-theory.structure-automorphism - **Revizija / recording:** `OLISV-T0353-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **automorphism of a structure** — An isomorphism from a first-order structure onto itself; such maps preserve every definable subset. - **Medžuslovjansky / Interslavic:** `avtomorfizm struktury`; lemma `avtomorfizm struktury`; Cyrillic `автоморфизм структуры` - **Gramatika / use:** masculine noun with genitive singular complement. Use avtomorfizm struktury for the full term and avtomorfizm when the structure is already explicit. Inflect the head regularly; use neizměnny pri avtomorfizmah for invariant under automorphisms. - **Argumentacija / rationale:** Avtomorfizm retains the shared specialist morph- family while adapting the prefix to standard Interslavic avto-. The same self-isomorphism concept is directly attested in Ukrainian, Polish, Czech, and Croatian academic sources, with several also connecting automorphisms to definability or invariance. The full head avtomorfizm struktury prevents ambiguity outside model theory; the unit may use the short form once the structure is explicit. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ISOMORPHISM` · lines 122-131 · Exact Open Logic definition and definable-subset invariance problem - **Evidence loci:** `OL-MODEL-ISOMORPHISM` lines 122-131 (RESOLVED); `UK-KNU-ISOMORPHISM-AUTOMORPHISM-ELEMENTARY-EQUIVALENCE-2022` physical/printed PDF page 124 and pages 127-128 (RESOLVED); `PL-UW-ISOMORPHISM-AUTOMORPHISM` physical PDF pages 12 and 15-18 (RESOLVED); `CS-CUNI-GEOMETRIC-MODEL-THEORY-SYLLABUS` HTML lines 88-92 and 194-259 (RESOLVED); `HR-ZAGREB-COUNTABLY-MANY-CONSTANTS` additional extract, physical PDF pages 17-18 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9524], wordList[17894]; dictionary_id=19886,36418 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/isomorphism.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 130 - **Alternativy / alternatives:** `automorfizm struktury` — The unadapted international prefix auto- is recognizable but conflicts with the established Interslavic avto- adaptation used for the selected head.; `samoizomorfizm struktury` — This is descriptively transparent but is not the cross-Slavic specialist head attested by the academic sources and would needlessly separate the edition from standard mathematical usage. - **Neizvěstnost / uncertainty:** No direct official Interslavic dictionary headword for automorphism was found in the pinned response.; The avto- prefix is an edition-level Interslavic normalization from a stable international Slavic family, not a native-language certification. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct official Interslavic dictionary headword for automorphism was found in the pinned response. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The avto- prefix is an edition-level Interslavic normalization from a stable international Slavic family, not a native-language certification. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An isomorphism from a first-order structure onto itself; such maps preserve every definable subset.’, should ‘avtomorfizm struktury’ remain preferred over ‘automorfizm struktury’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0354 · model-theory.complete-theory - **Revizija / recording:** `OLISV-T0354-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **complete theory** — A theory that decides every sentence of its language: for each sentence, the theory entails that sentence or its negation. - **Medžuslovjansky / Interslavic:** `polna teorija`; lemma `polna teorija`; Cyrillic `полна теорија` - **Gramatika / use:** feminine adjective-noun phrase. The adjective polny agrees with teorija: nominative singular polna teorija, genitive singular polnoj teorije. This is theory completeness by sentence-decision, not completeness of a proof calculus. - **Argumentacija / rationale:** Polna teorija keeps the native full/complete family visible across Russian, Polish, Serbian, Ukrainian, Czech, and Bulgarian comparison evidence and remains continuous with the established canon adjective polny under OLISV-T0061. A separate entry is necessary because this property means deciding every sentence, whereas OLISV-T0061 names completeness of a proof system relative to semantic consequence. The Serbian source makes that distinction on adjacent pages, so identical surface morphology does not erase the polysemy boundary. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-M` · lines 29-53 · Exact proposition that the theory of a structure is complete and the sentence-by-sentence proof - **Evidence loci:** `OL-MODEL-THEORY-M` lines 11-63 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3816], wordList[7429]; dictionary_id=10923,3141 (RESOLVED); `RU-MSU-COMPLETE-THEORY-2026` PDF slides 6-11 (RESOLVED); `PL-AMU-COMPLETE-THEORY-2020` physical PDF pages 25-26 (RESOLVED); `SR-BELGRADE-COMPLETE-THEORY` physical PDF pages 47-49, printed pages 39-41 (RESOLVED); `ISV-ORTHOGRAPHY` standard Latin alphabet and Cyrillic equivalence sections (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/theory-of-m.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `kompletna teorija` — The international adjective is directly attested as a Serbian synonym and is broadly recognizable, but it is less continuous with the established edition family polnota/polny and less transparent to readers relying on the native full/whole cognate family.; `teorija, ktora odlučaje vsako izrečenje` — This explanatory clause is useful in the definition but too long for the recurring canonical head and would obscure correspondence with the standard Slavic specialist terminology. - **Neizvěstnost / uncertainty:** Polny is an established edition normalization; the pinned dictionary marks the direct adjective as pȯlny or popȯlny.; The Polish and Serbian sources state the criterion deductively, while the Russian and Open Logic sources state it semantically; completeness of first-order logic makes the criteria coincide under their respective theory conventions, but the entry preserves the Open Logic semantic locator as authority. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polny is an established edition normalization; the pinned dictionary marks the direct adjective as pȯlny or popȯlny. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The Polish and Serbian sources state the criterion deductively, while the Russian and Open Logic sources state it semantically; completeness of first-order logic makes the criteria coincide under their respective theory conventions, but the entry preserves the Open Logic semantic locator as authority. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A theory that decides every sentence of its language: for each sentence, the theory entails that sentence or its negation.’, should ‘polna teorija’ remain preferred over ‘kompletna teorija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0355 · model-theory.partial-isomorphism - **Revizija / recording:** `OLISV-T0355-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **partial isomorphism** — A finite partial function between two structures that satisfies the isomorphism conditions wherever the function is defined. - **Medžuslovjansky / Interslavic:** `čestičny izomorfizm`; lemma `čestičny izomorfizm`; Cyrillic `честичны изоморфизм` - **Gramatika / use:** masculine adjective-noun phrase. Masculine inanimate phrase; genitive singular čestičnogo izomorfizma and plural čestične izomorfizmy. The edition's simplified čestičny surface follows OLISV-T0037. - **Argumentacija / rationale:** Čestičny izomorfizm reuses the canon's established native partial adjective from OLISV-T0037 and the structure-isomorphism head from OLISV-T0352. Russian and Polish directly support the same native part-based family; Croatian supplies a directly attested international alternative. The definition, not superficial word similarity, fixes the finite partial-function sense. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-PARTIAL-ISOMORPHISM` · lines 10-38 · Exact finite-partial-function definition and four isomorphism clauses - **Evidence loci:** `OL-MODEL-PARTIAL-ISOMORPHISM` lines 10-38 (RESOLVED); `RU-NSTU-PARTIAL-ISOMORPHISM-2011` physical/printed PDF page 60 (RESOLVED); `PL-UW-PARTIAL-ISOMORPHISM-QUANTIFIER-RANK-N-EQUIVALENCE` physical/printed PDF page 2 (RESOLVED); `HR-ZAGREB-PARTIAL-ISOMORPHISM-QUANTIFIER-RANK-N-EQUIVALENCE` physical PDF page 20, printed page 12 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=37394 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/partial-iso.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 14, 100 - **Alternativy / alternatives:** `parcialny izomorfizm` — The international adjective is directly recognizable from Croatian, but it is less continuous with the already accepted čestičny mathematical family and the direct East/West Slavic evidence.; `lokalny izomorfizm` — Local isomorphism occurs in neighboring literature but can denote different germs or local structures and does not transparently assert a partial function. - **Neizvěstnost / uncertainty:** The official dictionary head is čęstičny; the edition uses the simplified čestičny surface already established by OLISV-T0037.; Russian and Polish use the native part-based adjective while Croatian uses the international parcijalni family. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The official dictionary head is čęstičny; the edition uses the simplified čestičny surface already established by OLISV-T0037. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Russian and Polish use the native part-based adjective while Croatian uses the international parcijalni family. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A finite partial function between two structures that satisfies the isomorphism conditions wherever the function is defined.’, should ‘čestičny izomorfizm’ remain preferred over ‘parcialny izomorfizm’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0356 · model-theory.back-and-forth-property - **Revizija / recording:** `OLISV-T0356-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **back-and-forth property** — The extension condition on a nonempty family of partial isomorphisms: every element of either structure can be added on the corresponding domain or range side. - **Medžuslovjansky / Interslavic:** `svojstvo prodolženja naprěd i nazad`; lemma `svojstvo prodolženja naprěd i nazad`; Cyrillic `својство продолжења напрєд и назад` - **Gramatika / use:** neuter noun phrase with genitive complement. Neuter head svojstvo; genitive svojstva. The paired operational labels are Naprěd and Nazad. Prodolženje names extension of a partial map, not temporal continuation. - **Argumentacija / rationale:** Svojstvo prodolženja naprěd i nazad makes the formal action explicit: members of the partial-isomorphism family must be extendible on the domain side and on the range side. The directional words are exceptionally transparent across the dictionary's comparison columns. Polish supplies native paired labels, while Russian and Croatian retain English in academic use, so the full phrase is deliberately presented as an evidence-based Interslavic synthesis rather than a claimed pan-Slavic standard. - **Uvěrjenost / status:** 0.78 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-PARTIAL-ISOMORPHISM` · lines 40-54 · Exact paired Forth and Back clauses - **Evidence loci:** `OL-MODEL-PARTIAL-ISOMORPHISM` lines 40-54 (RESOLVED); `PL-UW-PARTIAL-ISOMORPHISM-QUANTIFIER-RANK-N-EQUIVALENCE` physical/printed PDF page 2 (RESOLVED); `HR-ZAGREB-PARTIAL-ISOMORPHISM-QUANTIFIER-RANK-N-EQUIVALENCE` physical PDF page 21, printed page 13 (RESOLVED); `RU-HSE-BACK-AND-FORTH-2012` HTML line 47 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=22019,4385,2791,2781 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/partial-iso.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 43 - **Alternativy / alternatives:** `svojstvo naprěd i nazad` — The shorter calque is readable but omits the decisive operation—extension of a partial isomorphism—and is therefore less informative out of context.; `metod back-and-forth` — The borrowed English term is attested in Russian and Croatian academic contexts, but it impedes readers who do not know English and hides the operation that the definition performs. - **Neizvěstnost / uncertainty:** No single native specialist phrase converges across the pinned East-, West-, and South-Slavic sources.; Prodolženje is used in its mathematical extension sense; some readers may prefer razširenje. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No single native specialist phrase converges across the pinned East-, West-, and South-Slavic sources. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Prodolženje is used in its mathematical extension sense; some readers may prefer razširenje. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The extension condition on a nonempty family of partial isomorphisms: every element of either structure can be added on the corresponding domain or range side.’, should ‘svojstvo prodolženja naprěd i nazad’ remain preferred over ‘svojstvo naprěd i nazad’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0357 · model-theory.quantifier-rank - **Revizija / recording:** `OLISV-T0357-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **quantifier rank** — The maximum nesting depth of quantifiers in a formula, recursively defined as a natural number. - **Medžuslovjansky / Interslavic:** `kvantifikatorny rang`; lemma `kvantifikatorny rang`; Cyrillic `квантификаторны ранг` - **Gramatika / use:** masculine adjective-noun phrase. Masculine inanimate phrase; genitive kvantifikatornogo ranga and instrumental kvantifikatornym rangom. Rank measures nesting depth, not social or matrix rank. - **Argumentacija / rationale:** Kvantifikatorny rang follows the convergent adjective-plus-rank structure directly attested in Russian, Polish, and Croatian while reusing the edition's established kvantifikator head. The adjectival form is more faithful to all three academic witnesses than an unexplained genitive paraphrase, and the definition explicitly limits the sense to quantifier nesting depth. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-PARTIAL-ISOMORPHISM` · lines 112-124 · Exact bounded-nesting definition - **Evidence loci:** `OL-MODEL-PARTIAL-ISOMORPHISM` lines 112-124 (RESOLVED); `RU-HSE-QUANTIFIER-RANK-N-EQUIVALENCE-2018` physical PDF page 2 (RESOLVED); `PL-UW-PARTIAL-ISOMORPHISM-QUANTIFIER-RANK-N-EQUIVALENCE` physical/printed PDF pages 3-4 (RESOLVED); `HR-ZAGREB-PARTIAL-ISOMORPHISM-QUANTIFIER-RANK-N-EQUIVALENCE` physical PDF pages 21 and 124 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=16072 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/partial-iso.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 121, 223 - **Alternativy / alternatives:** `rang kvantifikatorov` — The genitive phrase is transparent, but every pinned direct national witness uses an adjective and the edition already forms kvantifikatorny regularly.; `glubina kvantifikatorov` — Depth is explanatory but loses direct correspondence with the rank notation and the strongly convergent Slavic academic rank family. - **Neizvěstnost / uncertainty:** Russian commonly shortens quantifier to квантор in the compound, whereas the edition retains the already canonical full head kvantifikator.; Some Czech sources may prefer a depth term rather than the international rank family. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Russian commonly shortens quantifier to квантор in the compound, whereas the edition retains the already canonical full head kvantifikator. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Some Czech sources may prefer a depth term rather than the international rank family. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The maximum nesting depth of quantifiers in a formula, recursively defined as a natural number.’, should ‘kvantifikatorny rang’ remain preferred over ‘rang kvantifikatorov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0358 · model-theory.n-elementary-equivalence - **Revizija / recording:** `OLISV-T0358-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **n-equivalence** — Agreement of two structures on the truth of every sentence whose quantifier rank is at most n. - **Medžuslovjansky / Interslavic:** `n-elementarna ekvivalentnost`; lemma `n-elementarna ekvivalentnost`; Cyrillic `н-елементарна еквивалентност` - **Gramatika / use:** feminine indexed adjective-noun phrase. Feminine ekvivalentnost; structures are n-elementarno ekvivalentne. Retain the index n as a mathematical metavariable in typeset prose even though the deterministic plain-text Cyrillic head projects its letter. - **Argumentacija / rationale:** N-elementarna ekvivalentnost explicitly connects the bounded notion to OLISV-T0351 elementarna ekvivalentnost and matches the direct Polish and Croatian indexed terms. The qualifier prevents confusion with game n-equivalence, which the Russian syllabus explicitly distinguishes. The source's shorter English n-equivalent label remains searchable in the English field and definition. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-PARTIAL-ISOMORPHISM` · lines 116-124 and 248-261 · Definition and final bounded-rank equivalence characterization - **Evidence loci:** `OL-MODEL-PARTIAL-ISOMORPHISM` lines 116-124 and 248-261 (RESOLVED); `RU-HSE-QUANTIFIER-RANK-N-EQUIVALENCE-2018` physical PDF pages 2-3 (RESOLVED); `PL-UW-PARTIAL-ISOMORPHISM-QUANTIFIER-RANK-N-EQUIVALENCE` physical/printed PDF page 4 (RESOLVED); `HR-ZAGREB-PARTIAL-ISOMORPHISM-QUANTIFIER-RANK-N-EQUIVALENCE` physical PDF page 124, printed page 116 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/partial-iso.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `n-ekvivalentnost` — This literal rendering is short and directly resembles Russian usage, but without elementarna it can be confused with game, formula, algebraic, or other indexed equivalences.; `formulna n-ekvivalentnost` — The Russian qualifier is precise, but the Open Logic definition applies to structures via sentences, while Polish and Croatian directly anchor the notion in elementary equivalence. - **Neizvěstnost / uncertainty:** The English source says n-equivalent without elementary, while the Polish and Croatian direct terms include the elementary qualifier.; The deterministic Cyrillic dictionary head transliterates the plain-text metavariable n; mathematical typesetting retains Latin n. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The English source says n-equivalent without elementary, while the Polish and Croatian direct terms include the elementary qualifier. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The deterministic Cyrillic dictionary head transliterates the plain-text metavariable n; mathematical typesetting retains Latin n. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Agreement of two structures on the truth of every sentence whose quantifier rank is at most n.’, should ‘n-elementarna ekvivalentnost’ remain preferred over ‘n-ekvivalentnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0359 · model-theory.purely-relational-language - **Revizija / recording:** `OLISV-T0359-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **purely relational language** — A first-order language whose nonlogical vocabulary contains relation or predicate symbols but no function symbols, with the treatment of constants stated locally by the source. - **Medžuslovjansky / Interslavic:** `čisto relacijsky jezyk`; lemma `čisto relacijsky jezyk`; Cyrillic `чисто релацијскы језык` - **Gramatika / use:** masculine adverb-adjective-noun phrase. Masculine phrase; genitive čisto relacijskogo jezyka. The accompanying definition must state whether constants are excluded, because the source itself changes that convention between passages. - **Argumentacija / rationale:** Čisto relacijsky jezyk is a transparent compositional label: čisto excludes nonrelational operations, relacijsky identifies the signature family, and jezyk remains the edition's ordinary language head. The entry records the source's deliberate local convention shift—one theorem excludes constants while a later finite-language proposition permits them—so the head is never used as a substitute for checking the adjacent definition. - **Uvěrjenost / status:** 0.84 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-PARTIAL-ISOMORPHISM` · lines 83-108 and 126-138 · Two local source conventions for the relational-language restriction - **Evidence loci:** `OL-MODEL-PARTIAL-ISOMORPHISM` lines 83-108 and 126-138 (RESOLVED); `PL-UW-PARTIAL-ISOMORPHISM-QUANTIFIER-RANK-N-EQUIVALENCE` physical/printed PDF pages 2 and 4 (RESOLVED); `HR-ZAGREB-PARTIAL-ISOMORPHISM-QUANTIFIER-RANK-N-EQUIVALENCE` physical PDF pages 20-21 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=582,541 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/partial-iso.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `bezfunkcijny jezyk` — This describes the most important negative condition but hides the positive relational vocabulary and still leaves the status of constants ambiguous.; `predikatny jezyk` — Predicate language is recognizable but can be misread as the whole first-order language family and does not foreground the no-function restriction. - **Neizvěstnost / uncertainty:** The source itself excludes constants in its first purely relational theorem but permits constants in its later finite-language proposition.; The full phrase is a compositional edition choice; only its relational components are directly attested in the pinned Polish and Croatian sources. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source itself excludes constants in its first purely relational theorem but permits constants in its later finite-language proposition. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The full phrase is a compositional edition choice; only its relational components are directly attested in the pinned Polish and Croatian sources. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A first-order language whose nonlogical vocabulary contains relation or predicate symbols but no function symbols, with the treatment of constants stated locally by the source.’, should ‘čisto relacijsky jezyk’ remain preferred over ‘bezfunkcijny jezyk’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0360 · relation.dense-order - **Revizija / recording:** `OLISV-T0360-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **dense order** — An order in which, whenever x is strictly below y, some z lies strictly between x and y. - **Medžuslovjansky / Interslavic:** `gųsty poredok`; lemma `gųsty poredok`; Cyrillic `густы поредок` - **Gramatika / use:** masculine adjective-noun phrase. Masculine adjective agrees with poredok; plural gųste poredky, genitive plural gųstyh poredkov. Use gųstosť poredka for the abstract property. - **Argumentacija / rationale:** The official dictionary head gųsty converges with Polish gęsty and Croatian gust while remaining recognizable beside Russian плотный. The exact Open Logic axiom and three independently preserved academic witnesses prevent the everyday thick/dense meaning from replacing the order-theoretic one. Existing OLISV-T0038 supplies linearny poredok where the fuller subtype is needed. - **Uvěrjenost / status:** 0.92 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-DENSE-LINEAR-ORDER` · lines 10-26, especially axiom 6 · Exact order-theoretic density condition - **Evidence loci:** `OL-MODEL-DENSE-LINEAR-ORDER` lines 10-26 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=5308 (RESOLVED); `RU-MI-RAS-DENSE-LINEAR-ORDER-2015` physical PDF page 12 (RESOLVED); `PL-PW-DENSE-LINEAR-ORDER-2022` physical/printed PDF page 23 (RESOLVED); `HR-ZAGREB-DENSE-LINEAR-ORDER-2015` physical PDF page 50, printed page 46 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/dlo.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `plotny poredok` — Plotny closely follows Russian but loses the direct West- and South-Slavic convergence and the official Interslavic dictionary head.; `gųstotny poredok` — An abstract-noun derivative is unnecessary and less directly recognizable than the official adjective gųsty. - **Neizvěstnost / uncertainty:** The official dictionary supports the general adjective rather than independently standardizing its order-theoretic sense.; Ukrainian, Czech, and Bulgarian full phrases are transparent editorial comparanda, not direct attestations. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The official dictionary supports the general adjective rather than independently standardizing its order-theoretic sense. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Ukrainian, Czech, and Bulgarian full phrases are transparent editorial comparanda, not direct attestations. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An order in which, whenever x is strictly below y, some z lies strictly between x and y.’, should ‘gųsty poredok’ remain preferred over ‘plotny poredok’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0361 · model-theory.dense-linear-order-without-endpoints - **Revizija / recording:** `OLISV-T0361-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **dense linear order without endpoints** — A strict dense linear order having neither a least element nor a greatest element. - **Medžuslovjansky / Interslavic:** `gųsty linearny poredok bez krajnyh elementov`; lemma `gųsty linearny poredok bez krajnyh elementov`; Cyrillic `густы линеарны поредок без крајных елементов` - **Gramatika / use:** masculine noun phrase with prepositional modifier. Plural gųste linearne poredky bez krajnyh elementov. At first definition, gloss bez krajnyh elementov explicitly as bez najmenšego i največšego elementa. - **Argumentacija / rationale:** The compact phrase keeps the Open Logic technical label while the mandatory first-use gloss states the exact least/greatest semantics for readers who do not know the English term. Gųsty is directly supported by the official dictionary and West/South Slavic witnesses; linearny poredok reuses OLISV-T0038; krajny is an official dictionary component whose potentially broader everyday sense is controlled by the explicit gloss and six axioms. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-DENSE-LINEAR-ORDER` · lines 10-26 · Exact six-axiom definition, including no upper or lower endpoint - **Evidence loci:** `OL-MODEL-DENSE-LINEAR-ORDER` lines 10-31 (RESOLVED); `RU-MI-RAS-DENSE-LINEAR-ORDER-2015` physical PDF page 12 (RESOLVED); `RU-KFU-DENSE-LINEAR-ORDER-2013` physical PDF page 63 (RESOLVED); `PL-PW-DENSE-LINEAR-ORDER-2022` physical/printed PDF page 23 (RESOLVED); `HR-ZAGREB-DENSE-LINEAR-ORDER-2015` physical PDF page 52, printed page 48 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/dlo.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 13, 62, 85 - **Alternativy / alternatives:** `gųsty linearny poredok bez koncov` — The short calque is superficially close to Russian but can be read as temporal or physical ends and does not identify the least/greatest order elements for a general reader.; `gųsty linearny poredok bez granic` — Boundary language is not the order-theoretic concept and risks suggesting boundedness in a metric or topological sense. - **Neizvěstnost / uncertainty:** Krajny is broader in ordinary language than the specialist endpoint sense, so the explicit first-use gloss remains part of the house policy.; No official Interslavic specialist dictionary entry for the entire phrase was found in the bounded evidence set. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Krajny is broader in ordinary language than the specialist endpoint sense, so the explicit first-use gloss remains part of the house policy. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: No official Interslavic specialist dictionary entry for the entire phrase was found in the bounded evidence set. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A strict dense linear order having neither a least element nor a greatest element.’, should ‘gųsty linearny poredok bez krajnyh elementov’ remain preferred over ‘gųsty linearny poredok bez koncov’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0362 · relation.order-endpoint - **Revizija / recording:** `OLISV-T0362-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **endpoint of a linear order** — A least or greatest element of a linear order; not an arbitrary minimal or maximal element of a non-linear order. - **Medžuslovjansky / Interslavic:** `krajny element poredka`; lemma `krajny element poredka`; Cyrillic `крајны елемент поредка` - **Gramatika / use:** masculine adjective-noun phrase. Genitive plural krajnyh elementov poredka. In definitions, identify the pair as najmenši i največši element to prevent confusion with non-linear minimal/maximal elements. - **Argumentacija / rationale:** Krajny is an official Interslavic dictionary lemma meaning extreme or utmost and yields the concise recurring phrase bez krajnyh elementov. Because national mathematical sources often prefer an explicit least/greatest formulation, the house usage always binds the term to najmenši i največši element at first definition. The definition is restricted to linear orders, where least/minimal and greatest/maximal coincide. - **Uvěrjenost / status:** 0.79 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-DENSE-LINEAR-ORDER` · lines 19-22 · The no-greatest and no-least axioms that determine endpoint semantics - **Evidence loci:** `OL-MODEL-DENSE-LINEAR-ORDER` lines 19-22 (RESOLVED); `ISV-DICT-LIVE-20260825` dictionary_id=757 (RESOLVED); `RU-KFU-DENSE-LINEAR-ORDER-2013` physical PDF page 63 (RESOLVED); `PL-PW-DENSE-LINEAR-ORDER-2022` physical/printed PDF page 23 (RESOLVED); `HR-ZAGREB-DENSE-LINEAR-ORDER-2015` physical PDF page 52, printed page 48 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/dlo.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `konec poredka` — Konec can suggest temporal termination or a physical end and does not transparently denote an element of the ordered domain.; `graničny element` — Boundary terminology risks a metric or topological reading and lacks the direct dictionary-plus-definition support of krajny element. - **Neizvěstnost / uncertainty:** The complete specialist phrase is synthesized rather than directly certified by an official Interslavic mathematical dictionary.; The concise head is safe only with the recorded linear-order sense and first-use least/greatest gloss. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete specialist phrase is synthesized rather than directly certified by an official Interslavic mathematical dictionary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The concise head is safe only with the recorded linear-order sense and first-use least/greatest gloss. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A least or greatest element of a linear order; not an arbitrary minimal or maximal element of a non-linear order.’, should ‘krajny element poredka’ remain preferred over ‘konec poredka’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0363 · model-theory.cantor-dense-order-isomorphism-theorem - **Revizija / recording:** `OLISV-T0363-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **Cantor's isomorphism theorem for dense linear orders** — The uniqueness up to order isomorphism of countable dense linear orders without endpoints. - **Medžuslovjansky / Interslavic:** `Kantorova teorema o izomorfizmu gųstyh linearnyh poredkov`; lemma `Kantorova teorema o izomorfizmu gųstyh linearnyh poredkov`; Cyrillic `Канторова теорема о изоморфизму густых линеарных поредков` - **Gramatika / use:** feminine proper-name noun phrase. Feminine adjective-noun agreement; genitive Kantorovoj teoremy. Keep the descriptive complement because bare Kantorova teorema is already ambiguous with the power-set theorem. - **Argumentacija / rationale:** The descriptive complement disambiguates this theorem from the power-set result already recorded as OLISV-T0217. Kantorova preserves the canon's deterministic K-to-К script policy, while the remainder composes already established izomorfizm, gųsty, linearny, and poredok heads. Polish directly supplies the Cantor attribution; Russian and Croatian independently fix the proposition and its construction. - **Uvěrjenost / status:** 0.89 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-DENSE-LINEAR-ORDER` · lines 28-60 · Exact theorem statement and back-and-forth proof - **Evidence loci:** `OL-MODEL-DENSE-LINEAR-ORDER` lines 28-60 (RESOLVED); `PL-PW-DENSE-LINEAR-ORDER-2022` physical/printed PDF page 23 (RESOLVED); `RU-MI-RAS-DENSE-LINEAR-ORDER-2015` physical PDF page 12 (RESOLVED); `HR-ZAGREB-DENSE-LINEAR-ORDER-2015` physical PDF pages 52-53, printed pages 48-49 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/dlo.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `Kantorova teorema` — The bare eponym is ambiguous with Cantor's power-set theorem and therefore cannot serve as the machine-indexed canonical head for this result.; `teorema Cantora o racionalnom poredku` — This foregrounds only the canonical Q representative and obscures the uniqueness theorem for every countable dense no-endpoints order. - **Neizvěstnost / uncertainty:** Only the Polish bounded witness explicitly prints Cantor's name beside this exact theorem; the Russian and Croatian witnesses support the theorem substance independently.; The long descriptive head is intentional for disambiguation; shorter prose may use the theorem label only after the referent is locally clear. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Only the Polish bounded witness explicitly prints Cantor's name beside this exact theorem; the Russian and Croatian witnesses support the theorem substance independently. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The long descriptive head is intentional for disambiguation; shorter prose may use the theorem label only after the referent is locally clear. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The uniqueness up to order isomorphism of countable dense linear orders without endpoints.’, should ‘Kantorova teorema o izomorfizmu gųstyh linearnyh poredkov’ remain preferred over ‘Kantorova teorema’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0364 · model-theory.rational-order - **Revizija / recording:** `OLISV-T0364-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **rational order** — The linear order carried by the rational numbers, considered as an order structure or order type rather than as a field. - **Medžuslovjansky / Interslavic:** `poredok racionaľnyh čisl`; lemma `poredok racionaľnyh čisl`; Cyrillic `поредок рационалных числ` - **Gramatika / use:** masculine noun phrase with genitive plural complement. Use poredok racionaľnyh čisl or poredkovy tip struktury Q; avoid bare racionaľny poredok because it can be read as a reasonable order. - **Argumentacija / rationale:** The genitive construction names the mathematical carrier explicitly and reuses OLISV-T0253 for racionaľno čislo plus OLISV-T0038 for poredok. Polish and Croatian witnesses both present Q as the canonical order structure. This head prevents the adjective racionaľny from being misread in its ordinary sense of reasonable and prevents the order reduct from being confused with the rational field. - **Uvěrjenost / status:** 0.89 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-DENSE-LINEAR-ORDER` · lines 69-83 · The structure Q with domain the rationals and only the order relation - **Evidence loci:** `OL-MODEL-DENSE-LINEAR-ORDER` lines 69-83 (RESOLVED); `PL-PW-DENSE-LINEAR-ORDER-2022` physical/printed PDF page 23 (RESOLVED); `HR-ZAGREB-DENSE-LINEAR-ORDER-2015` physical PDF pages 52-53, printed pages 48-49 (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/dlo.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `racionaľny poredok` — The adjective can be read as reasonable or rationally chosen and does not state that the carrier is the set of rational numbers.; `racionaľna struktura` — This can denote the field or another structure on the rationals and therefore loses the order-reduct boundary. - **Neizvěstnost / uncertainty:** The selected Interslavic head is a transparent project-house compound rather than a directly attested official specialist dictionary entry.; Order-type notation eta may be added in a later unit if Open Logic introduces it explicitly; it is not silently imported here. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The selected Interslavic head is a transparent project-house compound rather than a directly attested official specialist dictionary entry. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Order-type notation eta may be added in a later unit if Open Logic introduces it explicitly; it is not silently imported here. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The linear order carried by the rational numbers, considered as an order structure or order type rather than as a field.’, should ‘poredok racionaľnyh čisl’ remain preferred over ‘racionaľny poredok’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0365 · model-theory.models-of-arithmetic - **Revizija / recording:** `OLISV-T0365-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **models of arithmetic** — Structures that interpret an arithmetic language or satisfy an arithmetic theory, including standard, non-standard, Q, PA, and computable models in the chapter scope. - **Medžuslovjansky / Interslavic:** `modeli aritmetiky`; lemma `modeli aritmetiky`; Cyrillic `модели аритметикы` - **Gramatika / use:** masculine plural noun phrase with feminine genitive-singular complement. Singular model aritmetiky; plural modeli aritmetiky; genitive plural modelov aritmetiky. Retain aritmetiky as the complement rather than turning it into an adjective. - **Argumentacija / rationale:** Modeli aritmetiky is the shortest transparent Interslavic rendering of the Open Logic chapter head. It composes the established canon head model (OLISV-T0017) with the directly attested aritmetika component already used in OLISV-T0187 and OLISV-T0205. The genitive complement matches Russian, Ukrainian, Polish, Czech, and Bosnian/Croatian/Serbian structure, while Bulgarian independently confirms the same semantic relation analytically. The phrase preserves the distinction between a plurality of structures and arithmetic as either language or theory. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-CHAPTER-DRIVER` · line 8 and ordered imports on lines 10-20 · Chapter title and exact scope boundary - **Evidence loci:** `OL-MODEL-ARITHMETIC-CHAPTER-DRIVER` line 8 and ordered imports on lines 10-20 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11194,1093]; dictionary_id=19859,21256; lemma=model,aritmetika (RESOLVED); `ISV-TRANSLIT-3.4.4` package/dist/index.browser.min.js; isv-Cyrl (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-arithmetic.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 8 - **Alternativy / alternatives:** `aritmetične modeli` — The adjective can suggest models used for calculation or models having merely arithmetic properties, while the genitive construction more clearly preserves the source relation and dominates the comparison traditions.; `modeli aritmetičnoj teorije` — This is too narrow because the chapter includes structures, languages, standard and non-standard models, Q, PA, and computability rather than one single arithmetic theory. - **Neizvěstnost / uncertainty:** The complete specialist phrase is a transparent project-house composition of directly attested official Interslavic components rather than a standalone official dictionary headword.; Arithmetic is intentionally left broad between language and theory at chapter level; child units will narrow the sense where Open Logic does. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The complete specialist phrase is a transparent project-house composition of directly attested official Interslavic components rather than a standalone official dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Arithmetic is intentionally left broad between language and theory at chapter level; child units will narrow the sense where Open Logic does. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Structures that interpret an arithmetic language or satisfy an arithmetic theory, including standard, non-standard, Q, PA, and computable models in the chapter scope.’, should ‘modeli aritmetiky’ remain preferred over ‘aritmetične modeli’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0366 · arithmetic.addition - **Revizija / recording:** `OLISV-T0366-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **addition** — The binary arithmetic operation interpreting + in the standard natural-number model and, by transported exponent addition, in the isomorphic one-letter-string model. - **Medžuslovjansky / Interslavic:** `dodavanje`; lemma `dodavanje`; Cyrillic `додавање` - **Gramatika / use:** neuter verbal noun. Use dodavanje for the operation; genitive dodavanja. At the first reader-facing occurrence retain sčitanje only as a Czech-facing explanatory gloss, not as a second canon head or unrestricted synonym. - **Argumentacija / rationale:** Dodavanje is a regular, transparent nominalization of the official Interslavic verb dodavati and is directly reinforced by Ukrainian mathematical usage. Because national arithmetic terminology diverges sharply, the first occurrence also gives sčitanje as a narrowly labelled Czech-facing gloss, without promoting the count/census family to a competing canon head. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-INTRODUCTION` · lines 12-22 and 29-34 · Exact arithmetic operation and both displayed interpretations - **Evidence loci:** `OL-MODEL-ARITHMETIC-INTRODUCTION` lines 12-22 and 29-34 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[287]; dictionary_id=1704 (RESOLVED); `UK-VSPU-MATHEMATICAL-LOGIC-2007` physical page 64 / extracted lines 2864-2874 (RESOLVED); `CS-CUNI-LOGIC-II-2008` physical page 1 / extracted lines 25-27 (RESOLVED); `HR-ZAGREB-CLASSICAL-LOGIC-2013` physical page 66 / extracted line 47 (RESOLVED); `BG-SOFIA-PROLOG-ARITHMETIC-EXERCISE-4` UTF-8 derivative line 60 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 16 - **Alternativy / alternatives:** `sčitanje` — Useful as a Czech-facing local gloss, but as a canon head or unrestricted synonym it privileges the West-Slavic count/add family and collides with the direct Interslavic count/census sense.; `složenje` — It closely follows Russian сложение but risks the broader senses composition or putting together and lacks the direct official Interslavic add verb. - **Neizvěstnost / uncertainty:** The exact noun dodavanje is derived from a directly listed verb rather than independently listed as a specialist dictionary head.; The parenthetical sčitanje is only a Czech-facing explanatory gloss; it is not a canon alias because the same Interslavic family also denotes counting and census. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact noun dodavanje is derived from a directly listed verb rather than independently listed as a specialist dictionary head. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The parenthetical sčitanje is only a Czech-facing explanatory gloss; it is not a canon alias because the same Interslavic family also denotes counting and census. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The binary arithmetic operation interpreting + in the standard natural-number model and, by transported exponent addition, in the isomorphic one-letter-string model.’, should ‘dodavanje’ remain preferred over ‘sčitanje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0367 · arithmetic.multiplication - **Revizija / recording:** `OLISV-T0367-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **multiplication** — The binary arithmetic operation interpreting the multiplication sign on natural numbers and exponent multiplication in the isomorphic one-letter-string model. - **Medžuslovjansky / Interslavic:** `množenje`; lemma `množenje`; Cyrillic `множење` - **Gramatika / use:** neuter verbal noun. Use množenje for the operation; genitive množenja. Keep množit as the corresponding infinitive when verbal syntax is needed. - **Argumentacija / rationale:** Množenje is a transparent action noun from the official Interslavic množiti and coincides exactly with direct Croatian mathematical usage and Ukrainian stem structure. It avoids unnecessary international morphology while remaining recognizable beside Russian and Bulgarian prefixed forms and West-Slavic national terms. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-INTRODUCTION` · lines 12-22 and 29-34 · Exact multiplication operation and both displayed interpretations - **Evidence loci:** `OL-MODEL-ARITHMETIC-INTRODUCTION` lines 12-22 and 29-34 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11437]; dictionary_id=19858 (RESOLVED); `RU-MSU-GODEL-LECTURES-2020` physical page 1 / extracted line 39 (RESOLVED); `UK-VSPU-MATHEMATICAL-LOGIC-2007` physical page 64 / extracted lines 2864-2874 (RESOLVED); `HR-ZAGREB-CLASSICAL-LOGIC-2013` physical page 66 / extracted line 47 (RESOLVED); `BG-SOFIA-PROLOG-ARITHMETIC-EXERCISE-4` UTF-8 derivative line 63 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 17 - **Alternativy / alternatives:** `umnoženje` — The prefixed form follows Russian and Bulgarian closely but is less neutral across West and South Slavic than the unprefixed official Interslavic base.; `multiplikacija` — The international loan is intelligible to specialists but is less transparent to readers who recognize the widespread native množ family. - **Neizvěstnost / uncertainty:** The preferred noun is a regular editorial derivation from a directly listed verb rather than a separate dictionary headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The preferred noun is a regular editorial derivation from a directly listed verb rather than a separate dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The binary arithmetic operation interpreting the multiplication sign on natural numbers and exponent multiplication in the isomorphic one-letter-string model.’, should ‘množenje’ remain preferred over ‘umnoženje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0368 · model-theory.nonstandard-model - **Revizija / recording:** `OLISV-T0368-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **non-standard model** — A model of the relevant true arithmetic theory that is not isomorphic to the standard natural-number structure. - **Medžuslovjansky / Interslavic:** `nestandardny model aritmetiky`; lemma `nestandardny model aritmetiky`; Cyrillic `нестандардны модел аритметикы` - **Gramatika / use:** masculine adjective-noun phrase. Full canon head nestandardny model aritmetiky; plural nestandardne modeli aritmetiky; locative plural v nestandardnyh modelah aritmetiky. The shorter nestandardny model is allowed only where the arithmetic scope is already explicit. - **Argumentacija / rationale:** Nestandardny model aritmetiky composes three directly listed Interslavic heads and mirrors the strongest Ukrainian and Polish full specialist phrases while remaining compatible with Czech and Croatian contextual short forms. Naming arithmetic in the canon head fixes the domain even when the term is indexed outside its local paragraph; prose may shorten it only after that scope is explicit. - **Uvěrjenost / status:** 0.97 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-INTRODUCTION` · lines 42-53 · Definition by non-isomorphism and existence of an element outside all standard numerals - **Evidence loci:** `OL-MODEL-ARITHMETIC-INTRODUCTION` lines 42-53 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11792,11194,1093]; dictionary_id=37954,19859,21256 (RESOLVED); `UK-KNU-MODEL-THEORY-2023` physical page 37 / decoded lines 1810-1834 (RESOLVED); `PL-UW-MATHEMATICAL-LOGIC-2014-15` printed page 21 / extracted lines 1032-1057 (RESOLVED); `CS-CUNI-LOGIC-II-2008` physical page 1 / extracted lines 27-28 (RESOLVED); `HR-ZAGREB-CLASSICAL-LOGIC-2013` physical pages 66-69 / extracted lines 69 and 121 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nestandardny model` — This remains acceptable as a context-bound short form, but as the standalone canon head it omits the arithmetic scope fixed by the strongest Ukrainian and Polish specialist witnesses.; `neobyčny model` — This means unusual rather than non-isomorphic to the standard arithmetic structure and therefore loses the technical boundary. - **Neizvěstnost / uncertainty:** The exact phrase remains an edition-level specialist selection rather than a separately certified Interslavic standard.; The candidate's bare nestandardny model occurrences are licensed contextual shortenings and do not replace the full indexed head. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact phrase remains an edition-level specialist selection rather than a separately certified Interslavic standard. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The candidate's bare nestandardny model occurrences are licensed contextual shortenings and do not replace the full indexed head. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A model of the relevant true arithmetic theory that is not isomorphic to the standard natural-number structure.’, should ‘nestandardny model aritmetiky’ remain preferred over ‘nestandardny model’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0369 · model-theory.nonstandard-element - **Revizija / recording:** `OLISV-T0369-r0002` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **non-standard element** — An element of an arithmetic-language structure that is not the value of any standard numeral; when the numerical role is foregrounded, the same kind of object is called a non-standard number. - **Medžuslovjansky / Interslavic:** `nestandardny element`; lemma `nestandardny element`; Cyrillic `нестандардны елемент` - **Gramatika / use:** masculine adjective-noun phrase. Masculine singular nestandardny element; plural nestandardne elementy; locative plural o nestandardnyh elementah. - **Argumentacija / rationale:** The existing nestandardny element remains the general head, but OLP-0194 shows that the definition applies to arbitrary structures for the arithmetic language, not only to models of true arithmetic. The revision removes that accidental model-only restriction while keeping the number-focused term separate. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` · lines 19-36 · Definition and one-way implication for a non-standard element - **Evidence loci:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` lines 19-36 (RESOLVED); `UK-KNU-MODEL-THEORY-2023` physical page 165 / decoded lines 8752-8756 (RESOLVED); `PL-UW-MATHEMATICAL-LOGIC-2014-15` printed page 21 / extracted lines 1032-1057 (RESOLVED); `HR-ZAGREB-CLASSICAL-LOGIC-2013` physical page 66 / extracted lines 69-72 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/non-standard-models.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 30 - **Alternativy / alternatives:** `nestandardno čislo` — This is valid for the arithmetic example but too narrow for the generic element occurrences and for later structures whose domain need not be presented as numbers.; `neobyčny element` — It expresses unusualness rather than failure to equal every standard numeral value. - **Neizvěstnost / uncertainty:** National traditions vary between element and number depending on whether structure membership or numerical order is foregrounded.; This revision broadens the source class; it does not claim that every non-standard arithmetic structure is a model of an arithmetic theory. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National traditions vary between element and number depending on whether structure membership or numerical order is foregrounded. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: This revision broadens the source class; it does not claim that every non-standard arithmetic structure is a model of an arithmetic theory. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An element of an arithmetic-language structure that is not the value of any standard numeral; when the numerical role is foregrounded, the same kind of object is called a non-standard number.’, should ‘nestandardny element’ remain preferred over ‘nestandardno čislo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0370 · model-theory.standard-numeral - **Revizija / recording:** `OLISV-T0370-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **standard numeral** — The canonical arithmetic-language term denoting an ordinary natural number, whose value exhausts the standard model but not a non-standard model. - **Medžuslovjansky / Interslavic:** `standardny numeral`; lemma `standardny numeral`; Cyrillic `стандардны нумерал` - **Gramatika / use:** masculine adjective-noun phrase. Masculine singular standardny numeral; plural standardne numeraly; genitive plural standardnyh numeralov. Numeral is reserved here for a formal-language term, not the grammatical part of speech. - **Argumentacija / rationale:** Standardny numeral retains the international formal-logic noun directly attested in Russian and Czech and combines it with the official Interslavic adjective standardny. This deliberately avoids borrowing čislovnik from a dictionary row whose national columns overwhelmingly encode the grammatical word-class sense rather than an arithmetic-language term. - **Uvěrjenost / status:** 0.74 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-INTRODUCTION` · lines 45-53 and 69-71 · Exact numeral-value characterization and exclusion of the internal non-standard proof code - **Evidence loci:** `OL-MODEL-ARITHMETIC-INTRODUCTION` lines 45-53 and 69-71 (RESOLVED); `RU-MSU-GODEL-LECTURES-2020` physical page 1 / extracted line 67 (RESOLVED); `CS-CUNI-LOGIC-II-2008` physical page 1 / extracted lines 27-28 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16187,11898]; dictionary_id=20754,17074 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `standardny čislovnik` — The pinned dictionary row is useful adverse evidence but its Russian, Ukrainian, Polish, Czech, Serbian, and other columns identify the grammatical numeral or number-word sense, which would blur the source's formal term.; `standardno čislo` — A numeral is a syntactic term denoting a number, not the number itself; this replacement would damage the source's term-value distinction. - **Neizvěstnost / uncertainty:** No direct Ukrainian, Polish, BCS, or Bulgarian printed occurrence of the formal-language noun was pinned for this unit.; The preferred noun numeral is not a headword in the pinned Interslavic dictionary response; it is a reversible edition technical extension. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct Ukrainian, Polish, BCS, or Bulgarian printed occurrence of the formal-language noun was pinned for this unit. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The preferred noun numeral is not a headword in the pinned Interslavic dictionary response; it is a reversible edition technical extension. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The canonical arithmetic-language term denoting an ordinary natural number, whose value exhausts the standard model but not a non-standard model.’, should ‘standardny numeral’ remain preferred over ‘standardny čislovnik’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0371 · logic.theory-incompleteness - **Revizija / recording:** `OLISV-T0371-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **incompleteness** — The failure of a sufficiently strong consistent formal theory to decide every sentence, here manifested by its consistency sentence and negation. - **Medžuslovjansky / Interslavic:** `nepolnota`; lemma `nepolnota`; Cyrillic `неполнота` - **Gramatika / use:** feminine abstract noun. Feminine noun nepolnota; genitive nepolnoty. Use teorema nepolnoty for an incompleteness theorem and nepolny for the adjective. - **Argumentacija / rationale:** Nepolnota is the regular negative counterpart of the established canon head polnota (OLISV-T0061). It aligns exactly with Russian and closely with Ukrainian, Czech, Croatian, Polish, and Bulgarian negative full/complete families while keeping the formal-theory sense fixed by the Open Logic explanation. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-INTRODUCTION` · lines 55-64 · Explanation of incompleteness through the undecided consistency sentence - **Evidence loci:** `OL-MODEL-ARITHMETIC-INTRODUCTION` lines 55-64 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[3821-3822]; dictionary_id=4378,10922 (RESOLVED); `RU-MSU-GODEL-LECTURES-2020` title and physical page 8 / extracted lines 395-402 (RESOLVED); `UK-KNU-LOGIC-FOUNDATIONS-2020` contents page / extracted line 91 and physical page 92 / lines 3929-4003 (RESOLVED); `CS-CUNI-LOGIC-II-2008` physical page 1 / extracted lines 28 and 33-45 (RESOLVED); `HR-ZAGREB-CLASSICAL-LOGIC-2013` chapter title and physical pages 66-69 / extracted lines 35-57 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nekompletnost` — The international complete stem is recognizable but would break the established polnota family and is less directly aligned with the strongest native Slavic comparanda.; `nepopolnost` — It mirrors one dictionary completeness derivative more mechanically, but the accepted edition already uses polnota and the shorter negative form is more stable in current prose. - **Neizvěstnost / uncertainty:** The exact selected surface is an edition-level derivation from OLISV-T0061 rather than a direct pinned dictionary lemma.; Polish and Bulgarian national surfaces in this packet are transparent derivations rather than direct academic attestations. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact selected surface is an edition-level derivation from OLISV-T0061 rather than a direct pinned dictionary lemma. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Polish and Bulgarian national surfaces in this packet are transparent derivations rather than direct academic attestations. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The failure of a sufficiently strong consistent formal theory to decide every sentence, here manifested by its consistency sentence and negation.’, should ‘nepolnota’ remain preferred over ‘nekompletnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0372 · model-theory.existential-witness - **Revizija / recording:** `OLISV-T0372-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **existential witness** — An element making an existential formula true in a structure; here it internally satisfies the proof-code predicate but need not be an actual standard derivation. - **Medžuslovjansky / Interslavic:** `svědok`; lemma `svědok`; Cyrillic `свєдок` - **Gramatika / use:** masculine animate noun. Masculine animate noun: svědok; genitive/accusative svědka; plural svědky. The mathematical role is fixed by the existential formula, not by the ordinary legal sense. - **Argumentacija / rationale:** Svědok normalizes the direct dictionary lemma svědȯk to the edition's standard surface and gains specialist precision from the explicit existential formula. Ukrainian and Polish academic witnesses independently show that the ordinary witness family extends naturally into model theory. The element is a semantic witness inside the non-standard model; it is not thereby an actual standard proof. - **Uvěrjenost / status:** 0.87 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-INTRODUCTION` · lines 64-71 · Exact existential proof-code witness and its non-standardness - **Evidence loci:** `OL-MODEL-ARITHMETIC-INTRODUCTION` lines 64-71 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[18895]; dictionary_id=21168 (RESOLVED); `UK-KNU-LOGIC-FOUNDATIONS-2020` physical page 88 / extracted lines 3758-3780 (RESOLVED); `PL-UW-MATHEMATICAL-LOGIC-2014-15` extracted line 1475 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 67 - **Alternativy / alternatives:** `dokaz` — A proof or piece of evidence is not the object instantiating an existential quantifier; using dokaz would collapse witness and derivation.; `svěditelj` — This East- and Bulgarian-facing form is recognizable but is less balanced than the direct Interslavic dictionary lemma and the Ukrainian/Polish/Czech witness family. - **Neizvěstnost / uncertainty:** The dictionary lemma is general-purpose; the mathematical sense is an edition-level specialization fixed by the formula and academic comparanda.; The exact normalized surface svědok differs from the etymological-vowel dictionary spelling svědȯk. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary lemma is general-purpose; the mathematical sense is an edition-level specialization fixed by the formula and academic comparanda. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The exact normalized surface svědok differs from the etymological-vowel dictionary spelling svědȯk. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An element making an existential formula true in a structure; here it internally satisfies the proof-code predicate but need not be an actual standard derivation.’, should ‘svědok’ remain preferred over ‘dokaz’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0373 · computability.godel-number - **Revizija / recording:** `OLISV-T0373-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **Gödel number** — The natural-number code assigned by a Gödel numbering to a syntactic object, here the code of a purported derivation of contradiction. - **Medžuslovjansky / Interslavic:** `Godelovo čislo`; lemma `Godelovo čislo`; Cyrillic `Годелово число` - **Gramatika / use:** neuter possessive-adjective noun phrase. Use machine-canonical Godelovo čislo for indexing and Cyrillic projection; render the human Latin reader as G"odelovo čislo where TeX support preserves the name. Genitive Godelovogo čisla. - **Argumentacija / rationale:** Godelovo čislo combines the direct official čislo head with a Slavic possessive adjective. The Russian source directly attests the specialist phrase and proof-code sense, while Croatian independently supports the Gödelov possessive pattern. Machine data omits the umlaut for stable transliteration; the Latin TeX reader preserves Gödel's name typographically. - **Uvěrjenost / status:** 0.82 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-INTRODUCTION` · lines 64-71 · Exact code object and its relation to the derivation predicate - **Evidence loci:** `OL-MODEL-ARITHMETIC-INTRODUCTION` lines 64-71 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11893]; dictionary_id=17215 (RESOLVED); `RU-MSU-GODEL-LECTURES-2020` physical page 8 / extracted lines 395-402 and 668-685 (RESOLVED); `HR-ZAGREB-CLASSICAL-LOGIC-2013` physical pages 66-69 / extracted lines 49-57 (RESOLVED); `UK-KNU-LOGIC-FOUNDATIONS-2020` physical page 92 / extracted lines 3929-4003 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `Godelov numer` — Numer risks confusion with the syntactic numeral term and is less directly supported than the pan-Slavic number head čislo.; `čislo Godela` — The genitive phrase is understandable, but the possessive adjective matches the strongest Russian and Croatian specialist naming patterns and existing Slavic mathematical style. - **Neizvěstnost / uncertainty:** Only the Russian witness directly attests the full specialist concept in this packet.; Machine-canonical Godelovo and human-display Gödelovo are intentionally separate surfaces; this must remain explicit in indexes and TeX. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Only the Russian witness directly attests the full specialist concept in this packet. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Machine-canonical Godelovo and human-display Gödelovo are intentionally separate surfaces; this must remain explicit in indexes and TeX. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The natural-number code assigned by a Gödel numbering to a syntactic object, here the code of a purported derivation of contradiction.’, should ‘Godelovo čislo’ remain preferred over ‘Godelov numer’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0374 · proof.consistency-statement - **Revizija / recording:** `OLISV-T0374-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **consistency statement** — A formal sentence expressing that the selected theory has no coded derivation of contradiction, here the sentence Con(PA). - **Medžuslovjansky / Interslavic:** `tvrdženje o nesprotivnosti`; lemma `tvrdženje o nesprotivnosti`; Cyrillic `тврджење о неспротивности` - **Gramatika / use:** neuter noun phrase with prepositional complement. Neuter tvrdženje plus locative o nesprotivnosti; genitive tvrdženja o nesprotivnosti. Use the shorter nesprotivnost only for the property, not the sentence expressing it. - **Argumentacija / rationale:** Tvrdženje o nesprotivnosti composes the established canon property nesprotivnost (OLISV-T0059) with the established truth-apt statement head tvrdženje. The expanded phrase prevents a categorical error: the source is discussing a sentence that expresses consistency, not consistency itself. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-INTRODUCTION` · lines 55-64 · Definition of Con(PA), undecidability, and truth in the standard model - **Evidence loci:** `OL-MODEL-ARITHMETIC-INTRODUCTION` lines 55-64 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16219]; dictionary_id=1087 (RESOLVED); `RU-MSU-GODEL-LECTURES-2020` physical page 8 / extracted lines 395-402 (RESOLVED); `UK-KNU-LOGIC-FOUNDATIONS-2020` physical page 92 / extracted lines 3929-4003 (RESOLVED); `CS-CUNI-LOGIC-II-2008` physical pages 1-2 / extracted lines 38-51 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/introduction.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nesprotivnost` — This is the established property head but is too compressed when the grammar requires the formal sentence Con(PA) as an object that can be proved, negated, or satisfied.; `izrečenje nesprotivnosti` — It is structurally possible, but tvrdženje is the established truth-apt claim head and the prepositional complement makes the semantic relation clearer. - **Neizvěstnost / uncertainty:** The exact complete phrase is a project-house composition rather than a standalone dictionary headword.; Polish, BCS, and Bulgarian full national phrases are transparent editorial comparanda in this packet. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The exact complete phrase is a project-house composition rather than a standalone dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Polish, BCS, and Bulgarian full national phrases are transparent editorial comparanda in this packet. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A formal sentence expressing that the selected theory has no coded derivation of contradiction, here the sentence Con(PA).’, should ‘tvrdženje o nesprotivnosti’ remain preferred over ‘nesprotivnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0375 · logic.empty-string - **Revizija / recording:** `OLISV-T0375-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **empty string** — The unique length-zero finite string in the free monoid of words over the one-symbol alphabet, used here as the interpretation of zero. - **Medžuslovjansky / Interslavic:** `prazdny niz`; lemma `prazdny niz`; Cyrillic `праздны низ` - **Gramatika / use:** masculine adjective-noun phrase. Masculine singular prazdny niz; genitive prazdnogo niza. Reserve prazdno množstvo for the set with no members; here the object is the identity string under concatenation. - **Argumentacija / rationale:** Prazdny niz extends the established technical head niz simbolov (OLISV-T0133) and keeps the object visibly distinct from prazdno množstvo (OLISV-T0190). The direct Ukrainian witness shows that empty word is also conventional; the edition chooses string because this passage explicitly presents finite strings and concatenation, while recording the word convention as an alternative rather than erasing it. The effective source now uses Lambda, matching the same Open Logic revision's explicit empty-string notation. - **Uvěrjenost / status:** 0.82 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-INTRODUCTION` · lines 24-34 · One-letter-string model, empty string, concatenation, and zero interpretation - **Evidence loci:** `OL-MODEL-ARITHMETIC-INTRODUCTION` lines 24-34 (RESOLVED); `OL-SETS-IMPORTANT-SETS` lines 46-54 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6101]; dictionary_id=16335 (RESOLVED); `UK-KNU-LOGIC-FOUNDATIONS-2020` physical pages 15 and 44 / extracted lines 582 and 1880 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/introduction.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 27; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/sets/important-sets.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `prazdno slovo` — Directly supported as a Ukrainian formal-language convention and acceptable as an explanatory synonym, but it would switch the passage's stated string ontology to word terminology and weaken continuity with OLISV-T0133.; `prazdno množstvo` — The source uses the empty-string symbol as an element and concatenation identity; an empty set has no elements and is a different mathematical object already covered by OLISV-T0190. - **Neizvěstnost / uncertainty:** No direct pinned full-phrase national source in this packet uses the selected string noun.; The immutable OLP-0192 source uses the empty-set glyph, but the hash-bound effective source corrects it to Lambda using the project's own explicit same-revision notation; both states remain auditable. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: No direct pinned full-phrase national source in this packet uses the selected string noun. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: The immutable OLP-0192 source uses the empty-set glyph, but the hash-bound effective source corrects it to Lambda using the project's own explicit same-revision notation; both states remain auditable. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The unique length-zero finite string in the free monoid of words over the one-symbol alphabet, used here as the interpretation of zero.’, should ‘prazdny niz’ remain preferred over ‘prazdno slovo’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0376 · arithmetic.language - **Revizija / recording:** `OLISV-T0376-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **language of arithmetic** — The formal first-order language L_A whose nonlogical vocabulary is used to formulate arithmetic structures and theories such as Q. - **Medžuslovjansky / Interslavic:** `jezyk aritmetiky`; lemma `jezyk aritmetiky`; Cyrillic `језык аритметикы` - **Gramatika / use:** masculine noun phrase with feminine genitive-singular complement. Genitive jezyka aritmetiky; locative v jezyku aritmetiky. Use L_A when the source names the formal signature. - **Argumentacija / rationale:** Jezyk aritmetiky is the regular genitive compound already patterned by jezyk logiky prvogo reda (OLISV-T0096). Its components are official dictionary heads, while Russian, Czech, and Croatian sources independently attest the specialist construction. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-STANDARD-MODELS` · lines 12-20 and 43-45 · Arithmetic-language scope and its structures - **Evidence loci:** `OL-MODEL-ARITHMETIC-STANDARD-MODELS` lines 12-20 and 43-45 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[9987,1093]; dictionary_id=541,21256 (RESOLVED); `RU-MSU-GODEL-LECTURES-2020` extracted lines 509-511 (RESOLVED); `CS-CUNI-LOGIC-II-2008` physical page 1 / extracted lines 23-30 (RESOLVED); `HR-ZAGREB-GODEL-INCOMPLETENESS-2011` printed page 4 / physical page 6 / extracted lines 172-178 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/standard-models.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 12 - **Alternativy / alternatives:** `aritmetičny jezyk` — The adjectival form is understandable but less directly aligned with the strongest Russian, Czech, and Croatian genitive compounds.; `jezyk L_A` — L_A is a notation for this particular signature, not the lexical head needed for the dictionary and prose. - **Neizvěstnost / uncertainty:** The compound is a project-house specialist head assembled from official components; no Interslavic standards body has certified it. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The compound is a project-house specialist head assembled from official components; no Interslavic standards body has certified it. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The formal first-order language L_A whose nonlogical vocabulary is used to formulate arithmetic structures and theories such as Q.’, should ‘jezyk aritmetiky’ remain preferred over ‘aritmetičny jezyk’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0377 · arithmetic.robinson-q - **Revizija / recording:** `OLISV-T0377-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **Robinson arithmetic Q** — The finitely axiomatized weak arithmetic theory Q used here to ensure numeral separation and the basic arithmetic facts needed for the standard-model isomorphism proof; unlike PA, it has no induction schema. - **Medžuslovjansky / Interslavic:** `Robinsonova aritmetika`; lemma `Robinsonova aritmetika`; Cyrillic `Робинсонова аритметика` - **Gramatika / use:** feminine possessive-adjective noun phrase. Feminine nominative Robinsonova aritmetika; genitive Robinsonovoj aritmetiky. Append the protected theory symbol Q in prose when the specific formal theory must be distinguished. - **Argumentacija / rationale:** Robinsonova aritmetika Q follows a transparent Slavic possessive-adjective construction and exactly matches the direct Croatian specialist term; Russian and Czech independently identify the same theory and its missing induction schema. The Q suffix is retained because it distinguishes the formal theory from arithmetic as a subject. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-STANDARD-MODELS` · lines 59-113 · Q-model hypothesis and the exact arithmetic consequences used by the isomorphism proof - **Evidence loci:** `OL-MODEL-ARITHMETIC-STANDARD-MODELS` lines 59-113 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[1093]; dictionary_id=21256 (RESOLVED); `RU-MI-RAS-PROVABILITY-ARITHMETIC-2020` physical page 2 / extracted lines 39-52 (RESOLVED); `CS-CUNI-LOGIC-II-2008` physical page 1 / extracted lines 23-30 (RESOLVED); `HR-ZAGREB-GODEL-INCOMPLETENESS-2011` printed pages 4-5 / physical pages 6-7 / extracted lines 196-212 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/standard-models.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `aritmetika Robinsona` — The genitive-name construction is strongly supported in Russian and Polish-style usage, but the possessive adjective is more compact and directly attested in Croatian and Czech.; `teorija Q` — Useful after introduction, but too opaque as the dictionary head and it suppresses the established eponym. - **Neizvěstnost / uncertainty:** The full phrase is a provisional edition term; no direct Ukrainian or Bulgarian specialist occurrence is pinned in this packet. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The full phrase is a provisional edition term; no direct Ukrainian or Bulgarian specialist occurrence is pinned in this packet. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The finitely axiomatized weak arithmetic theory Q used here to ensure numeral separation and the basic arithmetic facts needed for the standard-model isomorphism proof; unlike PA, it has no induction schema.’, should ‘Robinsonova aritmetika’ remain preferred over ‘aritmetika Robinsona’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0378 · logic.converse-proposition - **Revizija / recording:** `OLISV-T0378-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **converse proposition** — For a proposition of the form p implies q, the proposition with antecedent and consequent exchanged, q implies p; it is distinct from the inverse and contrapositive and need not share the original's truth. - **Medžuslovjansky / Interslavic:** `obratno tvrdženje`; lemma `obratno tvrdženje`; Cyrillic `обратно тврджење` - **Gramatika / use:** neuter adjective-noun phrase. Neuter nominative obratno tvrdženje; genitive obratnogo tvrdženja. Use the complement k with dative when naming the original proposition. - **Argumentacija / rationale:** Obratno tvrdženje composes two official Interslavic heads and follows the South-Slavic obrat- family. The Polish witness supplies the decisive semantic taxonomy, while Ukrainian and Slovenian independently attest converse-statement or converse-implication usage. The canon definition explicitly prevents collision with inverse and contrapositive. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-STANDARD-MODELS` · lines 52-57 · Problem asking for a counterexample to the converse of the preceding proposition - **Evidence loci:** `OL-MODEL-ARITHMETIC-STANDARD-MODELS` lines 52-57 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[14417,16219]; dictionary_id=18030,1087 (RESOLVED); `UK-KNU-MODEL-THEORY-2023` physical page 19 / decoded extract line 898; physical page 61 / line 3192 (RESOLVED); `PL-AMU-MATHEMATICAL-METHODS-CONVERSE` physical page 2 / extracted lines 51-65 (RESOLVED); `SL-LJUBLJANA-ALGEBRA-DISCRETE-MATH-2011` printed page 21 / physical page 27 / extracted lines 898-905 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/standard-models.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 57 - **Alternativy / alternatives:** `protivno tvrdženje` — This risks the inverse or contrary proposition, which the Polish source distinguishes from the converse.; `protivopoložno tvrdženje` — Opposite is semantically broader and does not encode exchange of antecedent and consequent.; `obratna implikacija` — Directly supported in Slovenian and suitable when the object is explicitly an implication; the source asks for the converse proposition, so tvrdženje preserves the source category. - **Neizvěstnost / uncertainty:** The selected full phrase is compositional rather than a standalone dictionary headword.; Direct sources vary between proposition/statement and implication heads; this entry is restricted to the proposition sense used by OLP-0193. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The selected full phrase is compositional rather than a standalone dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: Direct sources vary between proposition/statement and implication heads; this entry is restricted to the proposition sense used by OLP-0193. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘For a proposition of the form p implies q, the proposition with antecedent and consequent exchanged, q implies p; it is distinct from the inverse and contrapositive and need not share the original's truth.’, should ‘obratno tvrdženje’ remain preferred over ‘protivno tvrdženje’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0379 · proof.mathematical-induction - **Revizija / recording:** `OLISV-T0379-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **mathematical induction** — The ordinary induction proof principle with a base case at zero and a successor step from the case n to n+1; it is distinct from complete or strong induction and from an induction axiom schema as a theory component. - **Medžuslovjansky / Interslavic:** `matematična indukcija`; lemma `matematična indukcija`; Cyrillic `математична индукција` - **Gramatika / use:** feminine adjective-noun phrase. Feminine nominative matematična indukcija; instrumental matematičnoju indukcijeju. In concise proof prose, po indukciji is acceptable once the method is active. - **Argumentacija / rationale:** Matematična indukcija combines the official adjective with the international noun used consistently across the direct Ukrainian, Polish, and Croatian sources. The sense is deliberately limited to ordinary base-plus-successor induction; strong induction and an axiom schema remain separate canon concepts. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-STANDARD-MODELS` · lines 132-150 · Proof that two isomorphisms agree, using base case and successor step - **Evidence loci:** `OL-MODEL-ARITHMETIC-STANDARD-MODELS` lines 132-150 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[10839]; dictionary_id=36602 (RESOLVED); `RU-MI-RAS-PROVABILITY-ARITHMETIC-2020` physical page 1 / extracted lines 22-24 (RESOLVED); `UK-KNU-LOGIC-FOUNDATIONS-2020` physical page 43 / extracted lines 1869-1880 (RESOLVED); `PL-WROCLAW-THREE-INDUCTIONS-2012` physical page 2 / extracted lines 68-96 (RESOLVED); `HR-ZAGREB-SET-THEORY-INDUCTION` physical page 22 / extracted lines 822-843 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/standard-models.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `polna indukcija` — This names complete or strong induction in some Slavic traditions and would misclassify the ordinary proof in OLP-0193.; `indukcijska metoda` — A descriptive phrase is possible, but it obscures the standard specialist head directly shared across Ukrainian, Polish, and Croatian sources. - **Neizvěstnost / uncertainty:** The noun indukcija is a transparent cross-Slavic internationalism but is absent as a standalone head in the pinned Interslavic dictionary response.; This entry does not cover complete/strong induction or a theory's induction axiom schema. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The noun indukcija is a transparent cross-Slavic internationalism but is absent as a standalone head in the pinned Interslavic dictionary response. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: This entry does not cover complete/strong induction or a theory's induction axiom schema. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The ordinary induction proof principle with a base case at zero and a successor step from the case n to n+1; it is distinct from complete or strong induction and from an induction axiom schema as a theory component.’, should ‘matematična indukcija’ remain preferred over ‘polna indukcija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0380 · model-theory.nonstandard-arithmetic-structure - **Revizija / recording:** `OLISV-T0380-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **non-standard arithmetic structure** — A structure for the first-order language of arithmetic that is not isomorphic to the distinguished natural-number structure, whether or not it satisfies a specified arithmetic theory. - **Medžuslovjansky / Interslavic:** `nestandardna struktura za jezyk aritmetiky`; lemma `nestandardna struktura za jezyk aritmetiky`; Cyrillic `нестандардна структура за језык аритметикы` - **Gramatika / use:** feminine noun phrase with prepositional complement. Use short nestandardna struktura when the arithmetic-language context is explicit. Reserve nestandardny model aritmetiky for a structure known to satisfy the relevant arithmetic theory. - **Argumentacija / rationale:** The explicit language complement prevents model from being used before satisfaction has been established. It also makes the source's integer-domain counterexample readable without falsely calling that structure a model of true arithmetic. - **Uvěrjenost / status:** 0.9 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` · lines 13-23 and 67-75 · English Open Logic definition or proof-use boundary - **Evidence loci:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` lines 13-23 and 67-75 (RESOLVED); `PL-UW-MATHEMATICAL-LOGIC-2014-15` printed page 21 / extracted lines 1032-1057 (RESOLVED); `UK-KNU-MODEL-THEORY-2023` physical page 37 / decoded lines 1810-1834 (RESOLVED); `HR-ZAGREB-CLASSICAL-LOGIC-2013` physical page 66 / extracted lines 65-72 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/non-standard-models.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nestandardny model aritmetiky` — This stronger term asserts modelhood and is false of the source's integer-domain example.; `nestandardna aritmetika` — This can denote a discipline or theory rather than a structure interpreting the arithmetic language. - **Neizvěstnost / uncertainty:** The full phrase is a transparent edition compound rather than a standalone official dictionary headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The full phrase is a transparent edition compound rather than a standalone official dictionary headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A structure for the first-order language of arithmetic that is not isomorphic to the distinguished natural-number structure, whether or not it satisfies a specified arithmetic theory.’, should ‘nestandardna struktura za jezyk aritmetiky’ remain preferred over ‘nestandardny model aritmetiky’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0381 · arithmetic.standard-number-in-structure - **Revizija / recording:** `OLISV-T0381-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **standard number of an arithmetic structure** — An element of an arithmetic-language structure equal to the value of some standard numeral; this is structure-relative and does not assert that the domain element is literally a natural number. - **Medžuslovjansky / Interslavic:** `standardno čislo`; lemma `standardno čislo`; Cyrillic `стандардно число` - **Gramatika / use:** neuter adjective-noun phrase. Neuter singular standardno čislo; instrumental plural standardnymi čislami. Add struktury M when the structure-relative sense could be missed. - **Argumentacija / rationale:** Standardno čislo is the transparent adjective-number phrase demanded by the definition. The use note keeps it distinct from a standard numeral, which is a syntactic term, and from a natural number, which is an external mathematical object. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` · lines 19-23 · English Open Logic definition or proof-use boundary - **Evidence loci:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` lines 19-23 (RESOLVED); `RU-MSU-GODEL-LECTURES-2020` physical page 1 / extracted lines 58-67 (RESOLVED); `HR-ZAGREB-CLASSICAL-LOGIC-2013` physical page 66 / extracted lines 65-72 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/non-standard-models.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 38, 43, 48 - **Alternativy / alternatives:** `standardny numeral` — A numeral is the formal term whose value is the element; it is not the element itself.; `prirodno čislo` — An arbitrary structure's standard element need not literally be a natural number. - **Neizvěstnost / uncertainty:** Several national sources express this through the standard part or numeral values rather than a standalone positive phrase. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Several national sources express this through the standard part or numeral values rather than a standalone positive phrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An element of an arithmetic-language structure equal to the value of some standard numeral; this is structure-relative and does not assert that the domain element is literally a natural number.’, should ‘standardno čislo’ remain preferred over ‘standardny numeral’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0382 · arithmetic.nonstandard-number-in-structure - **Revizija / recording:** `OLISV-T0382-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **non-standard number of an arithmetic structure** — An element of an arithmetic-language structure unequal to the value of every standard numeral; the term foregrounds its numerical role while non-standard element foregrounds structure membership. - **Medžuslovjansky / Interslavic:** `nestandardno čislo`; lemma `nestandardno čislo`; Cyrillic `нестандардно число` - **Gramatika / use:** neuter adjective-noun phrase. Neuter singular nestandardno čislo; instrumental plural nestandardnymi čislami. Use nestandardny element when the source foregrounds membership rather than numerical role. - **Argumentacija / rationale:** Nestandardno čislo closely follows the direct Croatian phrase and the official adjective and number heads. A separate entry is justified because Open Logic deliberately alternates number and element according to whether the numerical or structural role is foregrounded. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` · lines 19-46 and 90-97 · English Open Logic definition or proof-use boundary - **Evidence loci:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` lines 19-46 and 90-97 (RESOLVED); `HR-ZAGREB-CLASSICAL-LOGIC-2013` physical page 66 / extracted lines 69-72 (RESOLVED); `UK-KNU-MODEL-THEORY-2023` decoded lines 8862-8962 and 9190 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/non-standard-models.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 38, 43, 48 - **Alternativy / alternatives:** `nestandardny element` — Correct for the same object when membership is foregrounded, but less faithful where the source explicitly calls it a number.; `bezkonečno čislo` — Suggests magnitude alone and fails for the general structure-relative definition, which is stated through numeral values. - **Neizvěstnost / uncertainty:** Some national sources prefer non-standard element or describe the non-standard part rather than using a standalone number phrase. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Some national sources prefer non-standard element or describe the non-standard part rather than using a standalone number phrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An element of an arithmetic-language structure unequal to the value of every standard numeral; the term foregrounds its numerical role while non-standard element foregrounds structure membership.’, should ‘nestandardno čislo’ remain preferred over ‘nestandardny element’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0383 · model-theory.theory-of-structure - **Revizija / recording:** `OLISV-T0383-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **theory of a structure; true arithmetic theory TA** — The set of all first-order sentences in the structure's language that are true in that structure; for the standard natural-number structure this is complete true arithmetic TA, not Q or PA. - **Medžuslovjansky / Interslavic:** `teorija struktury`; lemma `teorija struktury`; Cyrillic `теорија структуры` - **Gramatika / use:** feminine noun with genitive complement. Feminine teorija plus genitive singular struktury. In this unit teorija struktury N denotes TA; optional istinna aritmetika is an explanatory alias, not the preferred indexed head. - **Argumentacija / rationale:** Teorija struktury is a transparent composition of two established canon heads and matches direct Polish and Czech specialist usage. Keeping the explicit structure complement prevents TA from being confused with Robinson or Peano arithmetic and states exactly why the theory is complete. - **Uvěrjenost / status:** 0.99 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` · lines 79-98 · English Open Logic definition or proof-use boundary - **Evidence loci:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` lines 79-98 (RESOLVED); `OL-MODEL-THEORY-M` lines 13-20 (RESOLVED); `PL-UW-MATHEMATICAL-LOGIC-2014-15` printed page 15 / extracted lines 745-751 (RESOLVED); `CS-CUNI-LOGIC-II-2008` physical page 1 / extracted lines 17-21 (RESOLVED); `HR-ZAGREB-GODEL-INCOMPLETENESS-2011` printed page 14 / extracted lines 675-681 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/non-standard-models.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/model-theory/basics/theory-of-m.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `polna teorija aritmetiky` — Completeness alone does not identify the intended complete theory; many complete extensions are possible.; `istinna aritmetika` — Useful as an explanatory alias for TA, but less explicit than the source's general theory-of-a-structure construction. - **Neizvěstnost / uncertainty:** The standalone alias istinna aritmetika remains provisional and is not used as the preferred index term. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The standalone alias istinna aritmetika remains provisional and is not used as the preferred index term. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The set of all first-order sentences in the structure's language that are true in that structure; for the standard natural-number structure this is complete true arithmetic TA, not Q or PA.’, should ‘teorija struktury’ remain preferred over ‘polna teorija aritmetiky’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0384 · model-theory.countable-model - **Revizija / recording:** `OLISV-T0384-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **countable or enumerable model** — A model whose domain is finite or countably infinite under the edition's inclusive enumerable convention; the OLP-0194 compactness theory forces the present model to be infinite. - **Medžuslovjansky / Interslavic:** `izčisljivy model`; lemma `izčisljivy model`; Cyrillic `изчисљивы модел` - **Gramatika / use:** masculine adjective-noun phrase. Masculine singular izčisljivy model. The adjective describes the domain's cardinality, not effective computability; use izčisljivo bezkonečny only when countable infinitude is foregrounded. - **Argumentacija / rationale:** Izčisljivy model composes the established inclusive countability adjective with model. The use note explicitly blocks confusion with izčislimy, which denotes computability, and records why finite inclusion is harmless although the current construction is necessarily infinite. - **Uvěrjenost / status:** 0.7 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` · lines 79-113 plus localized proof completion · English Open Logic definition or proof-use boundary - **Evidence loci:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` lines 79-113 plus localized proof completion (RESOLVED); `OL-COM-DOWNWARD-LS` lines 13-23 (RESOLVED); `PL-UW-MATHEMATICAL-LOGIC-2014-15` printed page 27 / extracted lines 1358-1367 (RESOLVED); `UK-KNU-MODEL-THEORY-2023` decoded lines 1944-2008 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/non-standard-models.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/downward-ls.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `izčislimy model` — This suggests a computable presentation or decision procedure rather than countable cardinality.; `izčisljivo bezkonečny model` — Extensionally correct here but stronger in surface wording than the source's inclusive enumerable term. - **Neizvěstnost / uncertainty:** The specialist cardinality adjective is derived from the established canon term rather than directly listed as such in the official dictionary. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The specialist cardinality adjective is derived from the established canon term rather than directly listed as such in the official dictionary. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A model whose domain is finite or countably infinite under the edition's inclusive enumerable convention; the OLP-0194 compactness theory forces the present model to be infinite.’, should ‘izčisljivy model’ remain preferred over ‘izčislimy model’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0385 · model-theory.elementary-substructure - **Revizija / recording:** `OLISV-T0385-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **elementary substructure** — A substructure that agrees with the ambient structure on the truth of every first-order formula with parameters from the substructure; used here to preserve the expanded theory and named constant while reducing cardinality. - **Medžuslovjansky / Interslavic:** `elementarna podstruktura`; lemma `elementarna podstruktura`; Cyrillic `елементарна подструктура` - **Gramatika / use:** feminine adjective-noun phrase. Feminine singular elementarna podstruktura; genitive elementarnoj podstruktury. Do not weaken it to an arbitrary podstruktura, which need not preserve all formulas. - **Argumentacija / rationale:** Elementarna podstruktura is nearly identical to the directly attested Polish phrase and transparently combines an official adjective with the established podstruktura canon entry. It names the preservation strength actually required by the proof, not merely domain inclusion. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` · localized completion after line 112 · English Open Logic definition or proof-use boundary - **Evidence loci:** `OL-COM-DOWNWARD-LS` lines 13-23 (RESOLVED); `PL-UW-MATHEMATICAL-LOGIC-2014-15` printed page 24 / extracted lines 1191-1200 (RESOLVED); `UK-KNU-MODEL-THEORY-2023` decoded lines 5000-5029 (RESOLVED); `CS-CUNI-SUBSTRUCTURES` physical page 7, slide 7/15 (RESOLVED); `SR-KG-REDUCT-EXPANSION-2013` physical PDF page 27, printed page 23 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/completeness/downward-ls.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `podstruktura` — An arbitrary substructure need not preserve the truth of every formula and therefore does not close the proof gap.; `elementarna podsistema` — Ukrainian directly uses the system head, but podstruktura aligns with the existing edition canon and Polish/Czech/Serbian model-theory terminology. - **Neizvěstnost / uncertainty:** Russian, Czech, BCS, and Bulgarian complete phrases are editorial in this packet rather than direct printed attestations. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Russian, Czech, BCS, and Bulgarian complete phrases are editorial in this packet rather than direct printed attestations. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A substructure that agrees with the ambient structure on the truth of every first-order formula with parameters from the substructure; used here to preserve the expanded theory and named constant while reducing cardinality.’, should ‘elementarna podstruktura’ remain preferred over ‘podstruktura’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0386 · theory.weaker-theory - **Revizija / recording:** `OLISV-T0386-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **weaker theory** — A theory with fewer deductive consequences than a comparison theory; in this unit Robinson Q does not prove commutativity of addition and therefore has models excluded by true arithmetic and Peano arithmetic. - **Medžuslovjansky / Interslavic:** `slabša teorija`; lemma `slabša teorija`; Cyrillic `слабша теорија` - **Gramatika / use:** feminine comparative adjective-noun phrase. Feminine comparative slabša agrees with teorija; use od plus genitive for the comparison, as in slabša od teorije TA. - **Argumentacija / rationale:** The comparative slabša is already the accepted canon morphology in OLISV-T0268, while the Russian and Croatian sources independently attest the exact theory-strength contrast. The phrase remains relational: it does not mean that Q is absolutely weak for every metamathematical purpose. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-MODELS-Q` · lines 13-23 · Theory-strength comparison and model-class consequence - **Evidence loci:** `OL-MODEL-ARITHMETIC-MODELS-Q` lines 13-23 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[18597]; dictionary_id=1341; lemma=slaby (RESOLVED); `RU-MI-RAS-PROVABILITY-ARITHMETIC-2020` physical page 2 / extracted lines 44-52 (RESOLVED); `HR-ZAGREB-GODEL-INCOMPLETENESS-2011` physical page 2 / extracted lines 96-103 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-q.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `slaba teorija` — The positive adjective loses the explicit comparison to TA and PA made in this unit.; `malo silna teorija` — This analytic phrase is less compact and lacks the official weak-adjective precedent. - **Neizvěstnost / uncertainty:** Theory strength is relative to a comparison theory and proof system; the short phrase relies on the local TA/PA contrast. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Theory strength is relative to a comparison theory and proof system; the short phrase relies on the local TA/PA contrast. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A theory with fewer deductive consequences than a comparison theory; in this unit Robinson Q does not prove commutativity of addition and therefore has models excluded by true arithmetic and Peano arithmetic.’, should ‘slabša teorija’ remain preferred over ‘slaba teorija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0387 · arithmetic.sum-result - **Revizija / recording:** `OLISV-T0387-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **sum** — The result of applying the interpreted addition operation to two elements, distinguished from the operation of addition itself. - **Medžuslovjansky / Interslavic:** `suma`; lemma `suma`; Cyrillic `сума` - **Gramatika / use:** feminine noun. Feminine singular suma; genitive sumy. Use dodavanje for the operation and suma for the resulting value. - **Argumentacija / rationale:** Suma is a direct official head, maximally transparent across the comparison columns, and already occurs in an accepted arithmetic passage. Keeping it separate from canon head dodavanje preserves the operation/result distinction. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-MODELS-Q` · lines 52-60 · Reader-facing label for the value of interpreted addition - **Evidence loci:** `OL-MODEL-ARITHMETIC-MODELS-Q` lines 52-60 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16586]; dictionary_id=1427; lemma=suma; gloss=sum (RESOLVED); `OL-SIZE-PAIRING-ISV` line 33 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-q.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 56; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/size-of-sets/pairing.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 33 - **Alternativy / alternatives:** `zbir` — A strong South-Slavic result term, but less even across the full comparison set than the official head suma.; `dodavanje` — Already canonized as the operation; using it for the result would erase the source's operation/result distinction. - **Neizvěstnost / uncertainty:** Czech and South-Slavic traditions also use native result nouns; the international form is selected for cross-regional transparency. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Czech and South-Slavic traditions also use native result nouns; the international form is selected for cross-regional transparency. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The result of applying the interpreted addition operation to two elements, distinguished from the operation of addition itself.’, should ‘suma’ remain preferred over ‘zbir’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0388 · arithmetic.product-result - **Revizija / recording:** `OLISV-T0388-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **product** — The result of applying the interpreted multiplication operation to two elements, distinguished from the operation of multiplication itself. - **Medžuslovjansky / Interslavic:** `proizvod`; lemma `proizvod`; Cyrillic `производ` - **Gramatika / use:** masculine noun. Masculine singular proizvod; genitive proizvoda. Use množenje for the operation and proizvod for the resulting value. - **Argumentacija / rationale:** The dictionary marks proizvod specifically as mathematical product, while produkt is its generic product head. Proizvod therefore preserves the specialist result sense and remains distinct from canon head množenje for the operation. - **Uvěrjenost / status:** 0.96 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-MODELS-Q` · lines 52-60 · Reader-facing label for the value of interpreted multiplication - **Evidence loci:** `OL-MODEL-ARITHMETIC-MODELS-Q` lines 52-60 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[13493]; dictionary_id=22261; lemma=proizvod; gloss=product (math.) (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-q.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 58 - **Alternativy / alternatives:** `produkt` — The dictionary reserves a separate proizvod row specifically for the mathematical sense; produkt is broader and already serves other canon compounds.; `množenje` — Already canonized as the operation or process, not the resulting value. - **Neizvěstnost / uncertainty:** West- and East-Slavic national traditions use unrelated native result nouns; the official Interslavic math-specific row resolves the edition choice. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: West- and East-Slavic national traditions use unrelated native result nouns; the official Interslavic math-specific row resolves the edition choice. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The result of applying the interpreted multiplication operation to two elements, distinguished from the operation of multiplication itself.’, should ‘proizvod’ remain preferred over ‘produkt’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0389 · algebra.commutativity-of-addition - **Revizija / recording:** `OLISV-T0389-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **commutativity of addition** — The property that interpreted addition has the same value after its two arguments are exchanged; the unit shows that Robinson Q does not prove it. - **Medžuslovjansky / Interslavic:** `komutativnost dodavanja`; lemma `komutativnost dodavanja`; Cyrillic `комутативност додавања` - **Gramatika / use:** feminine abstract noun with genitive complement. Use komutativnost dodavanja for the property. In predicate syntax use dodavanje jest komutativno. The genitive dodavanja follows the operation head OLISV-T0366. - **Argumentacija / rationale:** Komutativnost is already established in an accepted Interslavic algebra unit and aligns with direct Russian and Czech specialist evidence. The complement dodavanja deliberately follows current canon OLISV-T0366 rather than the older reader alias sčitanje. - **Uvěrjenost / status:** 0.92 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-MODELS-Q` · lines 16-21, 113-118, and 172-173 · Commutativity law, positive K instance, and negative L instance - **Evidence loci:** `OL-MODEL-ARITHMETIC-MODELS-Q` lines 16-21, 113-118, and 172-173 (RESOLVED); `OL-ARITHMETIZATION-CHECKING-DETAILS-ISV` lines 21-30 and 97-101 (RESOLVED); `RU-MI-RAS-PROVABILITY-ARITHMETIC-2020` physical page 2 / extracted lines 50-56 (RESOLVED); `CS-CUNI-LOGIC-II-2008` physical page 1 / extracted lines 23-28 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-q.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/arithmetization/checking-details.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `komutativnost sčitanja` — The property head is sound, but sčitanje is only a retained reader alias; current canon selects dodavanje for the operation.; `zaměnimost dodavanja` — This calque can suggest general substitutability rather than the exact two-argument exchange law. - **Neizvěstnost / uncertainty:** Polish commonly favors a native property head, while East, West, and South traditions vary in their noun for addition; the edition keeps both the divergence and its current canon choice explicit. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: Polish commonly favors a native property head, while East, West, and South traditions vary in their noun for addition; the edition keeps both the divergence and its current canon choice explicit. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The property that interpreted addition has the same value after its two arguments are exchanged; the unit shows that Robinson Q does not prove it.’, should ‘komutativnost dodavanja’ remain preferred over ‘komutativnost sčitanja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0390 · model-theory.element-block - **Revizija / recording:** `OLISV-T0390-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **block of an element** — The equivalence class of an element of a PA-model under finite standard successor distance; non-standard blocks have order type of the integers. - **Medžuslovjansky / Interslavic:** `blok elementa`; lemma `blok elementa`; Cyrillic `блок елемента` - **Gramatika / use:** masculine noun phrase. Blok is masculine; the defining element is genitive singular elementa. Use standardny blok and nestandardny blok for the two scoped variants. - **Argumentacija / rationale:** The transparent genitive compound follows the source's own block notation, uses two directly attested pan-Slavic components, and leaves the finite-distance definition explicit instead of loading extra meaning into blok. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-MODELS-PA` · lines 97-123 and 153-170 · Block definition, equivalence-class behavior, and disjointness - **Evidence loci:** `ISV-DICT-LIVE-20260825` wordList[2218]; dictionary_id=2459; lemma=blok (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[6006]; dictionary_id=17372; lemma=element (RESOLVED); `OL-MODEL-ARITHMETIC-MODELS-PA` lines 97-123 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-pa.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `klasa elementa` — Klasa hides the source's deliberate block metaphor and can be confused with the full equivalence-class construction.; `cělosť elementa` — The whole or entirety reading is not the named quotient component and lacks the direct cross-Slavic block convergence. - **Neizvěstnost / uncertainty:** The frozen dictionary attests everyday bloc rather than the full specialist equivalence-class compound. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary attests everyday bloc rather than the full specialist equivalence-class compound. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The equivalence class of an element of a PA-model under finite standard successor distance; non-standard blocks have order type of the integers.’, should ‘blok elementa’ remain preferred over ‘klasa elementa’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0391 · model-theory.finite-standard-distance - **Revizija / recording:** `OLISV-T0391-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **finite standard distance** — Distance between two model elements measured by a finite standard number of successor or predecessor steps; it determines membership in one block. - **Medžuslovjansky / Interslavic:** `konečno standardno råzstojańje`; lemma `konečno standardno råzstojańje`; Cyrillic `конечно стандардно разстојанје` - **Gramatika / use:** neuter adjective phrase with noun. Both adjectives agree in neuter singular with råzstojańje; use na konečnom standardnom råzstojańju after the locative preposition. - **Argumentacija / rationale:** The phrase mirrors the three semantic restrictions in the source and chooses dictionary-backed råzstojańje over competing South-Slavic distance nouns, while preserving the accepted edition spelling konečny. - **Uvěrjenost / status:** 0.86 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-MODELS-PA` · lines 104-123 · Successor-distance characterization and equivalence invariant - **Evidence loci:** `ISV-DICT-LIVE-20260825` wordList[5457]; dictionary_id=21782; lemma=råzstojańje (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16187]; dictionary_id=20754; lemma=standardny (RESOLVED); `OL-MODEL-ARITHMETIC-MODELS-PA` lines 104-123 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-pa.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `konečny standardny odmak` — Odmak is regionally legible but less cross-Slavically convergent than the dictionary-selected råzstojańje family.; `standardna udaljenost` — Dropping finite would incorrectly include non-standardly many successor steps and collapse distinct blocks. - **Neizvěstnost / uncertainty:** The frozen dictionary has no specialist row for the complete three-word model-theoretic phrase. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The frozen dictionary has no specialist row for the complete three-word model-theoretic phrase. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Distance between two model elements measured by a finite standard number of successor or predecessor steps; it determines membership in one block.’, should ‘konečno standardno råzstojańje’ remain preferred over ‘konečny standardny odmak’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0392 · algebra.cancellation-law-addition - **Revizija / recording:** `OLISV-T0392-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **cancellation law for addition** — The implication x+y=x+z entails y=z in Peano arithmetic. - **Medžuslovjansky / Interslavic:** `zakon skraćenja dodavanja`; lemma `zakon skraćenja dodavanja`; Cyrillic `закон скрачења додавања` - **Gramatika / use:** masculine noun with two genitive complements. Zakon is masculine; skraćenja and dodavanja are genitive singular verbal nouns. The shorter contextual form zakon skraćenja is allowed when addition is explicit. - **Argumentacija / rationale:** Zakon skraćenja is transparent across East, West, and South Slavic algebraic traditions; the explicit dodavanja complement preserves canon T0366's distinction between the operation and its result suma. - **Uvěrjenost / status:** 0.79 (medium); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-MODELS-PA` · lines 178-186 · Displayed left-cancellation theorem and its application - **Evidence loci:** `ISV-DICT-LIVE-20260825` wordList[10042]; dictionary_id=1901; lemma=zakon (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[15357]; dictionary_id=3139; lemma=skraćati (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[287]; dictionary_id=1704; lemma=dodavati (RESOLVED); `OL-MODEL-ARITHMETIC-MODELS-PA` lines 178-186 (RESOLVED); `OL-ARITHMETIZATION-CHECKING-DETAILS-ISV` lines 21-30 and 97-101 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-pa.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 196; `edition/OpenLogic-isv/locale/isv/content/sets-functions-relations/arithmetization/checking-details.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `zakon poniščenja dodavanja` — Poniščenje suggests inversion or annulment rather than cancelling a common addend from an equality.; `zakon skraćenja sumy` — Suma is the arithmetic result in canon T0387; the law concerns the addition operation, not shortening one result object. - **Neizvěstnost / uncertainty:** The dictionary skraćati row is nontechnical; the algebraic sense is an evidence-linked editorial extension. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The dictionary skraćati row is nontechnical; the algebraic sense is an evidence-linked editorial extension. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The implication x+y=x+z entails y=z in Peano arithmetic.’, should ‘zakon skraćenja dodavanja’ remain preferred over ‘zakon poniščenja dodavanja’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0393 · arithmetic.integer-average - **Revizija / recording:** `OLISV-T0393-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **average (integer midpoint)** — An element z with x+y=2z or x+y=2z+1; it lies between x and y and is the lower integer midpoint in the remainder-one case. - **Medžuslovjansky / Interslavic:** `srědnje`; lemma `srědnje`; Cyrillic `срєдње` - **Gramatika / use:** neuter noun. Use invariant quoted head srědnje in the defining sentence; the quotation marks signal that the remainder-one case is an integer midpoint, not an exact field mean. - **Argumentacija / rationale:** Srědnje is the official dictionary's exact mathematical noun. Quotation marks and the adjacent equations retain the source's useful but slightly loose average label without falsely claiming exact division in the odd case. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-MODELS-PA` · lines 222-228 · Halving construction used to prove density of the block order - **Evidence loci:** `ISV-DICT-LIVE-20260825` wordList[1473]; dictionary_id=12566; lemma=srědnje; gloss=average (RESOLVED); `OL-MODEL-ARITHMETIC-MODELS-PA` lines 222-228 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-pa.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 240 - **Alternativy / alternatives:** `srědnja vrědnost` — The longer calque is unnecessary because the official dictionary directly supplies the neuter mathematical noun srědnje.; `polusuma` — Half-sum suggests exact division and is false in the remainder-one case unless a floor convention is added. - **Neizvěstnost / uncertainty:** The source calls the lower integer midpoint an average; quotation marks preserve that looseness rather than hiding it. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source calls the lower integer midpoint an average; quotation marks preserve that looseness rather than hiding it. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An element z with x+y=2z or x+y=2z+1; it lies between x and y and is the lower integer midpoint in the remainder-one case.’, should ‘srědnje’ remain preferred over ‘srědnja vrědnost’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0394 · model-theory.standard-part - **Revizija / recording:** `OLISV-T0394-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **standard part of a model** — The elements corresponding to the standard natural numbers inside a model of arithmetic. - **Medžuslovjansky / Interslavic:** `standardna čest modela`; lemma `standardna čest modela`; Cyrillic `стандардна чест модела` - **Gramatika / use:** feminine adjective-noun phrase with genitive complement. Standardna agrees with feminine čest; modela is genitive singular. The edition's basic reader spelling čest is retained instead of etymological čęsť. - **Argumentacija / rationale:** The phrase directly mirrors the source decomposition and combines dictionary-backed standardny and čęsť under the edition's established basic spelling. It avoids treating the standard part as a separate submodel when only the order reduct is under discussion. - **Uvěrjenost / status:** 0.91 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-MODELS-PA` · lines 238-252 · Standard component in the reduct-isomorphism construction - **Evidence loci:** `ISV-DICT-LIVE-20260825` wordList[12471]; dictionary_id=1731; lemma=čęsť (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16187]; dictionary_id=20754; lemma=standardny (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11792]; dictionary_id=37954; lemma=nestandardny (RESOLVED); `PL-UW-MATHEMATICAL-LOGIC-2014-15` printed page 21 / extracted lines 1032-1057 (RESOLVED); `OL-MODEL-ARITHMETIC-MODELS-PA` lines 238-258 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-pa.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `standardno podmnožstvo modela` — The source names a structural part, not merely an arbitrary subset, and the longer form obscures its complementarity with the non-standard part.; `standardna čęsť modela` — Etymological spelling is valid in other registers, but it would break the accepted edition's basic reader surface čest. - **Neizvěstnost / uncertainty:** National mathematical traditions vary between part, copy, and initial-segment terminology depending on which inherited operations are in scope. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: National mathematical traditions vary between part, copy, and initial-segment terminology depending on which inherited operations are in scope. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The elements corresponding to the standard natural numbers inside a model of arithmetic.’, should ‘standardna čest modela’ remain preferred over ‘standardno podmnožstvo modela’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0395 · model-theory.nonstandard-part - **Revizija / recording:** `OLISV-T0395-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **non-standard part of a model** — The non-standard elements of a model of arithmetic, partitioned into finite-standard-distance blocks. - **Medžuslovjansky / Interslavic:** `nestandardna čest modela`; lemma `nestandardna čest modela`; Cyrillic `нестандардна чест модела` - **Gramatika / use:** feminine adjective-noun phrase with genitive complement. Nestandardna agrees with feminine čest; modela is genitive singular. In context the short form nestandardna čest is preferred once the model is explicit. - **Argumentacija / rationale:** The compound is transparent, parallels standardna čest, and is directly supported by the source construction plus a pinned Polish specialist occurrence of the non-standard part of an arithmetic structure. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-MODELS-PA` · lines 238-258 · Non-standard block component in the reduct-isomorphism construction - **Evidence loci:** `ISV-DICT-LIVE-20260825` wordList[12471]; dictionary_id=1731; lemma=čęsť (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16187]; dictionary_id=20754; lemma=standardny (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11792]; dictionary_id=37954; lemma=nestandardny (RESOLVED); `PL-UW-MATHEMATICAL-LOGIC-2014-15` printed page 21 / extracted lines 1032-1057 (RESOLVED); `OL-MODEL-ARITHMETIC-MODELS-PA` lines 238-258 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/models-of-pa.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `nestandardno podmnožstvo modela` — The source uses the whole complementary region of the model and its block decomposition, not an arbitrary subset.; `nestandardna zona modela` — Zona adds a spatial metaphor absent from the source and has weaker specialist convergence than part. - **Neizvěstnost / uncertainty:** The Polish direct witness uses structure rather than model as its genitive complement; the source fixes the model-scoped use here. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The Polish direct witness uses structure rather than model as its genitive complement; the source fixes the model-scoped use here. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The non-standard elements of a model of arithmetic, partitioned into finite-standard-distance blocks.’, should ‘nestandardna čest modela’ remain preferred over ‘nestandardno podmnožstvo modela’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0396 · model-theory.computable-structure - **Revizija / recording:** `OLISV-T0396-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **computable structure** — An arithmetic structure with domain the natural numbers whose successor, addition, and multiplication interpretations are computable functions and whose order is decidable. - **Medžuslovjansky / Interslavic:** `izčislima struktura`; lemma `izčislima struktura`; Cyrillic `изчислима структура` - **Gramatika / use:** feminine adjective-noun phrase. Izčislima agrees with feminine struktura. Use izčislimu strukturu in the accusative and izčislime struktury in the nominative plural. - **Argumentacija / rationale:** The compound composes two already active canon heads without creating a synonym. It preserves the source's exact distinction: the operations are computable, while the order relation is decidable. - **Uvěrjenost / status:** 0.93 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-COMPUTABLE-MODELS` · lines 35-40 · Exact arithmetic-language definition - **Evidence loci:** `ISV-DICT-LIVE-20260825` wordList[2804]; dictionary_id=5879; canon=OLISV-T0023 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[16426]; dictionary_id=16363; canon=OLISV-T0016 (RESOLVED); `OL-MODEL-ARITHMETIC-COMPUTABLE-MODELS` lines 35-40 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/computable-models.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `izčisljiva struktura` — The -ljiv- form is reserved by canon T0066/T0067 for countability or enumerability and would collapse two different properties.; `kompjutabilna struktura` — The internationalism is less transparent than the accepted izčisl- family and breaks continuity with canon T0023. - **Neizvěstnost / uncertainty:** The full compound is an edition-level composition; the frozen official dictionary does not list the specialist phrase as one headword. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The full compound is an edition-level composition; the frozen official dictionary does not list the specialist phrase as one headword. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘An arithmetic structure with domain the natural numbers whose successor, addition, and multiplication interpretations are computable functions and whose order is decidable.’, should ‘izčislima struktura’ remain preferred over ‘izčisljiva struktura’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0397 · model-theory.computable-model - **Revizija / recording:** `OLISV-T0397-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **computable model** — A model presented as a computable arithmetic structure on the natural numbers; in this unit, the term is used for models of Q, PA, and true arithmetic. - **Medžuslovjansky / Interslavic:** `izčislimy model`; lemma `izčislimy model`; Cyrillic `изчислимы модел` - **Gramatika / use:** masculine adjective-noun phrase. Izčislimy agrees with masculine model; nominative plural is izčislimy modeli. The adjective describes the presentation of the structure, not the cardinality of its domain. - **Argumentacija / rationale:** The phrase directly combines the active computability and model heads, has a pinned Russian specialist counterpart, and stays visibly distinct from izčisljivy model, the canon's countable-model phrase. - **Uvěrjenost / status:** 0.95 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-COMPUTABLE-MODELS` · lines 10-40 and 112-121 · Section title, definition context, Q example, and Tennenbaum-theorem occurrence - **Evidence loci:** `ISV-DICT-LIVE-20260825` wordList[2804]; dictionary_id=5879; canon=OLISV-T0023 (RESOLVED); `ISV-DICT-LIVE-20260825` wordList[11194]; dictionary_id=19859; canon=OLISV-T0017-r0002 (RESOLVED); `RU-MSU-TENNENBAUM-COURSE` HTML lines 205-206 (RESOLVED); `OL-MODEL-ARITHMETIC-COMPUTABLE-MODELS` lines 10-40 and 112-121 (RESOLVED); `OL-MODEL-ARITHMETIC-NONSTANDARD-MODELS` lines 79-113; canon=OLISV-T0384 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/computable-models.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 10, 121; `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/non-standard-models.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `izčisljivy model` — Canon T0384 reserves this surface for countable model; using it here would erase the theorem's computability claim.; `algoritmičny model` — This suggests an algorithmic presentation but is not the canon's established computable adjective and weakens exact term continuity. - **Neizvěstnost / uncertainty:** West- and South-Slavic full phrases are componential comparisons rather than direct pinned specialist quotations. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: West- and South-Slavic full phrases are componential comparisons rather than direct pinned specialist quotations. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘A model presented as a computable arithmetic structure on the natural numbers; in this unit, the term is used for models of Q, PA, and true arithmetic.’, should ‘izčislimy model’ remain preferred over ‘izčisljivy model’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0398 · computability.primitive-recursion - **Revizija / recording:** `OLISV-T0398-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **primitive recursion** — The function-building operation defining a new function from base and recursive-step functions; in this unit it witnesses that successor, addition, and multiplication are computable. - **Medžuslovjansky / Interslavic:** `primitivna rekursija`; lemma `primitivna rekursija`; Cyrillic `примитивна рекурсија` - **Gramatika / use:** feminine adjective-noun phrase. Primitivna agrees with feminine rekursija. Use s pomočju primitivnoj rekursije in the instrumental construction used by the translated passage. - **Argumentacija / rationale:** The compound keeps the active rekursija head, adds the directly dictionary-attested primitivny adjective, and is supported by direct Czech and Russian academic terminology. The translated prose states the logically safe direction: primitive-recursive arithmetic operations are therefore Turing-computable. - **Uvěrjenost / status:** 0.94 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-COMPUTABLE-MODELS` · lines 12-23 · Primitive-recursion explanation for the standard arithmetic operations - **Evidence loci:** `ISV-DICT-LIVE-20260825` wordList[13417]; dictionary_id=35198; lemma=primitivny (RESOLVED); `OL-FOL-BEYOND-SECOND-ORDER-LOGIC` lines 153-157; canon=OLISV-T0245-r0002 (RESOLVED); `CS-CUNI-PRIMITIVE-RECURSION-2014` physical pages 42-45; extract lines 37-128 (RESOLVED); `RU-MSU-PRIMITIVE-RECURSION-COURSE` HTML lines 60-61 (RESOLVED); `OL-MODEL-ARITHMETIC-COMPUTABLE-MODELS` lines 12-23 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/second-order-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/computable-models.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `pervobytna rekursija` — A literal everyday rendering of primitive is not the convergent specialist term and obscures recognition across the cited traditions.; `primitivna rekurencija` — Rekurencija follows Polish terminology but breaks the active Interslavic recursion head rekursija and the East/South cognate pattern. - **Neizvěstnost / uncertainty:** The South-Slavic and Ukrainian full phrases are componential comparisons in this evidence set rather than direct pinned quotations. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The South-Slavic and Ukrainian full phrases are componential comparisons in this evidence set rather than direct pinned quotations. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘The function-building operation defining a new function from base and recursive-step functions; in this unit it witnesses that successor, addition, and multiplication are computable.’, should ‘primitivna rekursija’ remain preferred over ‘pervobytna rekursija’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0399 · model-theory.tennenbaum-theorem - **Revizija / recording:** `OLISV-T0399-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **Tennenbaum's theorem** — Up to isomorphism, the standard model of arithmetic is the only computable model of Peano arithmetic; equivalently, no non-standard model of PA has a computable presentation. - **Medžuslovjansky / Interslavic:** `Tennenbaumova teorema`; lemma `Tennenbaumova teorema`; Cyrillic `Тенненбаумова теорема` - **Gramatika / use:** feminine possessive-adjective noun phrase. Tennenbaumova agrees with feminine teorema and follows the active Turingova naming precedent. The genitive alternative teorema Tennenbauma remains intelligible but is not the selected head. - **Argumentacija / rationale:** Tennenbaumova teorema combines the active theorem head with the edition's established possessive-adjective name pattern and a direct Slovak specialist occurrence. Russian and Polish directly attest the competing genitive pattern, which remains documented as a readable alternative. The definition includes the essential up-to-isomorphism qualification absent from the source sentence. - **Uvěrjenost / status:** 0.88 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-ARITHMETIC-COMPUTABLE-MODELS` · lines 112-121 · Named theorem and corrected up-to-isomorphism statement - **Evidence loci:** `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 42-47 and 117-126; canon=OLISV-T0273 (RESOLVED); `ISV-GRAMMAR-ADJ` lines 43-45; possessive -ov adjective; canon=OLISV-T0024 (RESOLVED); `RU-MSU-TENNENBAUM-COURSE` HTML lines 205-206 (RESOLVED); `PL-UW-TENNENBAUM-COURSE` HTML line 72, syllabus item 10 (RESOLVED); `SK-CUNI-TENNENBAUM-2024` HTML lines 74, 78, 313, 323 (RESOLVED); `OL-MODEL-ARITHMETIC-COMPUTABLE-MODELS` lines 112-121 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE; `edition/OpenLogic-isv/locale/isv/content/model-theory/models-of-arithmetic/computable-models.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 120 - **Alternativy / alternatives:** `teorema Tennenbauma` — This direct Russian/Polish-style genitive construction is intelligible and evidence-backed, but the possessive adjective better matches the active Interslavic named-person pattern and direct Slovak usage.; `Tennenbaumovo tvrđenje` — The generic statement head obscures the established theorem category and weakens continuity with canon T0273. - **Neizvěstnost / uncertainty:** East- and West-Slavic sources divide between genitive and possessive-adjective name constructions; the chosen head is a reversible house preference.; No direct South-Slavic Tennenbaum-theorem occurrence is pinned; South-Slavic comparanda are explicitly componential. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: East- and West-Slavic sources divide between genitive and possessive-adjective name constructions; the chosen head is a reversible house preference. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: No direct South-Slavic Tennenbaum-theorem occurrence is pinned; South-Slavic comparanda are explicitly componential. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Up to isomorphism, the standard model of arithmetic is the only computable model of Peano arithmetic; equivalently, no non-standard model of PA has a computable presentation.’, should ‘Tennenbaumova teorema’ remain preferred over ‘teorema Tennenbauma’? Please identify the readership and provide a citable occurrence or counterexample. ## OLISV-T0400 · model-theory.interpolation-theorem - **Revizija / recording:** `OLISV-T0400-r0001` · `CONTEMPORANEOUS_OLP0184_TO_OLP0198_CANON_RECORD_PROJECTED_FOR_REVIEW` - **English lemma / sense:** **interpolation theorem** — Craig's interpolation theorem: if a sentence entails another, an interpolant can be expressed using only their common nonlogical vocabulary. - **Medžuslovjansky / Interslavic:** `teorema interpolacije`; lemma `teorema interpolacije`; Cyrillic `теорема интерполације` - **Gramatika / use:** feminine noun with genitive complement. Teorema inflects as a feminine noun; interpolacije remains the genitive singular complement. Craigova teorema interpolacije is the explicit named variant used when attribution must be visible. - **Argumentacija / rationale:** Teorema interpolacije transparently combines the established canon head teorema with the internationally shared interpolation stem. Russian, Polish, Czech, and Croatian academic sources independently preserve that stem while varying between genitive, prepositional, adjectival, and possessive constructions. The genitive complement is compact, pan-Slavically legible, and matches the source's unattributed chapter title; Craigova teorema interpolacije remains the explicit named variant. - **Uvěrjenost / status:** 0.92 (high); `provisional`; open to correction: true. - **Primary source locator:** `OL-MODEL-THEORY-INTERPOLATION-CHAPTER` · line 8 · Chapter title; the theorem is stated in the child units - **Evidence loci:** `OL-MODEL-THEORY-INTERPOLATION-CHAPTER` line 8 and child imports lines 10-16 (RESOLVED); `RU-MSU-CRAIG-INTERPOLATION-SEMINAR` HTML lines 302-310 (RESOLVED); `PL-UW-CRAIG-INTERPOLATION-NOTES` physical page 6 / extract line 8 onward (RESOLVED); `CS-CVUT-CRAIG-INTERPOLATION-EXAMPLES` physical pages 59-60 / extract lines 14-22 (RESOLVED); `BCS-ZAGREB-CRAIG-INTERPOLATION-THESIS` physical pages 68-69 / extract lines 11-21 (RESOLVED); `OL-FOL-BEYOND-INTUITIONISTIC-LOGIC` lines 42-47 and 117-126; active canon=OLISV-T0273-r0001 (RESOLVED); `ISV-TRANSLIT-3.4.4` package/src/transliterate/transliterate.ts (RESOLVED) - **Target lookup:** `edition/OpenLogic-isv/locale/isv/content/model-theory/interpolation/interpolation.tex` — LITERAL_HEAD_FORM_LOCATED at line(s) 8; `edition/OpenLogic-isv/locale/isv/content/first-order-logic/beyond/intuitionistic-logic.tex` — NO_LITERAL_HEAD_FORM_LOCATED_DO_NOT_INFER_ABSENCE_OF_INFLECTED_OR_MACRO_LINKAGE - **Alternativy / alternatives:** `interpolacijska teorema` — Readable, but the adjective is less directly aligned with the strong cross-Slavic genitive/prepositional evidence and can suggest a broader theorem class.; `teorema o interpolaciji` — Close to Russian and Czech/Polish prepositional patterns, but longer than the equally transparent genitive construction selected for the chapter heading.; `Craigova teorema interpolacije` — Mathematically exact and retained as the explicit named variant, but the Open Logic chapter title deliberately omits Craig's name. - **Neizvěstnost / uncertainty:** The source title is generic although the chapter develops Craig's theorem; the named variant is recorded for downstream occurrences.; No official Interslavic dictionary head for interpolacija is pinned; the selected internationalism is supported by four academic Slavic traditions and remains reversible. - **Pytanja / review questions:** - Does specialist usage support or contradict this recorded uncertainty: The source title is generic although the chapter develops Craig's theorem; the named variant is recorded for downstream occurrences. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - Does specialist usage support or contradict this recorded uncertainty: No official Interslavic dictionary head for interpolacija is pinned; the selected internationalism is supported by four academic Slavic traditions and remains reversible. Please cite the Slavic language, exact source and locator, and a proposed replacement if applicable. - For the sense ‘Craig's interpolation theorem: if a sentence entails another, an interpolant can be expressed using only their common nonlogical vocabulary.’, should ‘teorema interpolacije’ remain preferred over ‘interpolacijska teorema’? Please identify the readership and provide a citable occurrence or counterexample. ## Granica tvrđenja · Claim boundary To jest polna pregledna projekcija 400 aktivnyh zapisov kanona pri OLP-0198, ne tvrđenje o dokončenju 722 jedinic, oficialnoj standardizaciji, rodnojezyčnoj certifikaciji, naučnoj recenziji ili bezpogrešnosti. / This is complete review coverage of the active 400-entry canon at OLP-0198, not a claim that the 722-unit translation is complete, officially standardized, native-certified, peer reviewed, or infallible.