{"counts":{"additional_reused_occurrences":15,"main_occurrences":411,"missing_deferred_flush":1,"printed_occurrences":442,"rendered_source_problems":427,"source_problems":438,"supplement_occurrences":31,"tag_disabled":10},"course_id":"C80","edition_binding":"b1a35368eaa666f9c3131e0c55536530ec1c0fe6ab7e4acbbe81d6d8f81f9853","input_identities":{"main-exercises.json":{"bytes":909122,"sha256":"f9e58e8f649f4fedc240a21719b55efdce535592d073d65a8aaa1996c47bab16"},"section-titles.json":{"bytes":27862,"sha256":"0a124fa712c79b3d251d4582436d68eb027d756907152fbf7fffa1370ef767cf"},"source-problems.json":{"bytes":1312777,"sha256":"655d56f4ea8535e4424902b693fcc393e7e0bdcb4a245835f63bd5ae761e4199"},"supplement-exercises.json":{"bytes":75441,"sha256":"f407ae05368e54393c409d3baff7f03addf1e2ecaba589f2a74bd6d266f66c9a"}},"limitations":{"en":"This planner selects references, not copied exercises. Both interfaces point to the same Indonesian book. Page numbers are physical PDF pages, not printed page labels. A source exercise can appear in two reader contexts; each occurrence has its own identity. Answers, hints and solutions have not been audited. This structural mapping is not a renewed translation-quality or mathematical-proof review.","id":"Perencana ini memilih rujukan, bukan menyalin soal. Kedua antarmuka merujuk pada buku Bahasa Indonesia yang sama. Halaman yang ditampilkan adalah nomor halaman fisik PDF, bukan nomor halaman tercetak. Satu soal sumber dapat muncul di dua konteks pembaca; setiap kemunculan memiliki identitas tersendiri. Jawaban, petunjuk, dan penyelesaian belum diaudit. Pemetaan struktural ini bukan penilaian ulang mutu terjemahan atau kebenaran bukti."},"provenance":{"effort":"ultra","model":"gpt-6-astra","scope":"reference planner and structural exercise mapping; no new book translation"},"questions":[{"chapter":"main:1","component":"main","id":"c80:OLP-0005:problem:001:main-fol","local_reader_url":"reader.pdf#page=37","mapping":{"canonical_section_label":"sfr:set:bas:sec","canonical_section_value":["1.1","25","Ekstensionalitas","section*.6",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","combined_page":37,"destination":"probd*.77","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0005","observed_import_path":"content/sets-functions-relations/sets/basics.tex","occurrence_id":"c80:OLP-0005:problem:001:main-fol","printed_number":"1.1","source":{"block":{"bytes":145,"sha256":"374377382d3c4c42ea801ebc5b767b01c49976e902f22aef41d89f705c54834c"},"byte_end_exclusive":3902,"byte_start":3757,"end_line":101,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":98},"source_file":{"bytes":3922,"sha256":"8bc9151af0985e6e20c374aa38cddd1add7a8dffbabccc94b89f324f62c40f8c"},"source_occurrence_order":1,"source_path":"content/sets-functions-relations/sets/basics.tex","source_problem_id":"c80:OLP-0005:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":172,"sha256":"8fc7357a7c429f1602e691f0cd5b9bc8d244ef5de5685e072d946b1de9d1e719"},"byte_end_exclusive":4245,"byte_start":4073,"end_line":106,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":102},"target_file":{"bytes":4262,"sha256":"b7d5d501c8a76d51d0bf49218cf4b98dab35b9a63d884e0feabd2589bbd048f7"},"target_path":"locale/id/content/sets-functions-relations/sets/basics.tex"},"number":"1.1","physical_page":37,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","section_title_id":"Ekstensionalitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0005:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0005"},{"chapter":"main:1","component":"main","id":"c80:OLP-0006:problem:001:main-fol","local_reader_url":"reader.pdf#page=37","mapping":{"canonical_section_label":"sfr:set:sub:sec","canonical_section_value":["1.2","26","Himpunan Bagian dan Himpunan Kuasa","section*.15",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","combined_page":37,"destination":"probd*.79","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0006","observed_import_path":"content/sets-functions-relations/sets/subsets.tex","occurrence_id":"c80:OLP-0006:problem:001:main-fol","printed_number":"1.2","source":{"block":{"bytes":63,"sha256":"02940c9c971bd4de65d821788b862f498c386d08dc77e6e8e5563d245606390f"},"byte_end_exclusive":3490,"byte_start":3427,"end_line":96,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":94},"source_file":{"bytes":3618,"sha256":"5d982f62c40325cf75da4517add45ca073e23fb9463cfb3adfb9aafbb8582e46"},"source_occurrence_order":2,"source_path":"content/sets-functions-relations/sets/subsets.tex","source_problem_id":"c80:OLP-0006:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":77,"sha256":"bf012e3cd1cbfd7504cbbd5ef84983165940c7be433d6c9c42a03410a0c803ce"},"byte_end_exclusive":4003,"byte_start":3926,"end_line":101,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":99},"target_file":{"bytes":4143,"sha256":"0afe964d79817b258d7b5fcbb3db224440aaf048df714ebea57febe47f5b779a"},"target_path":"locale/id/content/sets-functions-relations/sets/subsets.tex"},"number":"1.2","physical_page":37,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","section_title_id":"Himpunan Bagian dan Himpunan Kuasa","solution_state":"not_audited","source_problem_id":"c80:OLP-0006:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0006"},{"chapter":"main:1","component":"main","id":"c80:OLP-0006:problem:002:main-fol","local_reader_url":"reader.pdf#page=37","mapping":{"canonical_section_label":"sfr:set:sub:sec","canonical_section_value":["1.2","26","Himpunan Bagian dan Himpunan Kuasa","section*.15",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","combined_page":37,"destination":"probd*.81","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0006","observed_import_path":"content/sets-functions-relations/sets/subsets.tex","occurrence_id":"c80:OLP-0006:problem:002:main-fol","printed_number":"1.3","source":{"block":{"bytes":104,"sha256":"ab60eb6e3a75ecd732f8c1455118607bdfed5d84c3565713946ee26872eb4b30"},"byte_end_exclusive":3598,"byte_start":3494,"end_line":101,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":98},"source_file":{"bytes":3618,"sha256":"5d982f62c40325cf75da4517add45ca073e23fb9463cfb3adfb9aafbb8582e46"},"source_occurrence_order":3,"source_path":"content/sets-functions-relations/sets/subsets.tex","source_problem_id":"c80:OLP-0006:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":121,"sha256":"ca399f9d198054c38cefacf6cd06c1c12f3b4bd69d23e02fde1122126ad3857c"},"byte_end_exclusive":4126,"byte_start":4005,"end_line":106,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":103},"target_file":{"bytes":4143,"sha256":"0afe964d79817b258d7b5fcbb3db224440aaf048df714ebea57febe47f5b779a"},"target_path":"locale/id/content/sets-functions-relations/sets/subsets.tex"},"number":"1.3","physical_page":37,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","section_title_id":"Himpunan Bagian dan Himpunan Kuasa","solution_state":"not_audited","source_problem_id":"c80:OLP-0006:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0006"},{"chapter":"main:1","component":"main","id":"c80:OLP-0008:problem:001:main-fol","local_reader_url":"reader.pdf#page=37","mapping":{"canonical_section_label":"sfr:set:uni:sec","canonical_section_value":["1.4","28","Gabungan dan Irisan","section*.37",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","combined_page":37,"destination":"probd*.83","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0008","observed_import_path":"content/sets-functions-relations/sets/unions-and-intersections.tex","occurrence_id":"c80:OLP-0008:problem:001:main-fol","printed_number":"1.4","source":{"block":{"bytes":77,"sha256":"421db648cbc947948eed925dc3da26321ba2dbd0088e9f05c120a17698e65dc1"},"byte_end_exclusive":1962,"byte_start":1885,"end_line":56,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":54},"source_file":{"bytes":6075,"sha256":"2ad0eec70308ceeff2a4158b2dee60e59a9b1cf9268fc95c4bb1da05f65ad60d"},"source_occurrence_order":4,"source_path":"content/sets-functions-relations/sets/unions-and-intersections.tex","source_problem_id":"c80:OLP-0008:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":81,"sha256":"2d8f6b75d08ee010afbbfa81d7f9a20f037ee41172fe10e99643413481734374"},"byte_end_exclusive":2122,"byte_start":2041,"end_line":61,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":59},"target_file":{"bytes":6512,"sha256":"89b0e3a252e78b52b7a683b8a9c7a5620bb77eb10dd9360ff0327f50016b28c8"},"target_path":"locale/id/content/sets-functions-relations/sets/unions-and-intersections.tex"},"number":"1.4","physical_page":37,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","section_title_id":"Gabungan dan Irisan","solution_state":"not_audited","source_problem_id":"c80:OLP-0008:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0008"},{"chapter":"main:1","component":"main","id":"c80:OLP-0008:problem:002:main-fol","local_reader_url":"reader.pdf#page=37","mapping":{"canonical_section_label":"sfr:set:uni:sec","canonical_section_value":["1.4","28","Gabungan dan Irisan","section*.37",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","combined_page":37,"destination":"probd*.85","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0008","observed_import_path":"content/sets-functions-relations/sets/unions-and-intersections.tex","occurrence_id":"c80:OLP-0008:problem:002:main-fol","printed_number":"1.5","source":{"block":{"bytes":88,"sha256":"ec1da3c5c0091dcdd71220a33a9d2dc41f1db74a12033567c4e85e9e0c35d42b"},"byte_end_exclusive":3436,"byte_start":3348,"end_line":97,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":95},"source_file":{"bytes":6075,"sha256":"2ad0eec70308ceeff2a4158b2dee60e59a9b1cf9268fc95c4bb1da05f65ad60d"},"source_occurrence_order":5,"source_path":"content/sets-functions-relations/sets/unions-and-intersections.tex","source_problem_id":"c80:OLP-0008:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":94,"sha256":"7c42d35977c684d09fc0707b9aaf7d1a2053f6f23acc53e2214eb967f325e8cf"},"byte_end_exclusive":3639,"byte_start":3545,"end_line":106,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":104},"target_file":{"bytes":6512,"sha256":"89b0e3a252e78b52b7a683b8a9c7a5620bb77eb10dd9360ff0327f50016b28c8"},"target_path":"locale/id/content/sets-functions-relations/sets/unions-and-intersections.tex"},"number":"1.5","physical_page":37,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","section_title_id":"Gabungan dan Irisan","solution_state":"not_audited","source_problem_id":"c80:OLP-0008:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0008"},{"chapter":"main:1","component":"main","id":"c80:OLP-0008:problem:003:main-fol","local_reader_url":"reader.pdf#page=37","mapping":{"canonical_section_label":"sfr:set:uni:sec","canonical_section_value":["1.4","28","Gabungan dan Irisan","section*.37",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","combined_page":37,"destination":"probd*.87","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0008","observed_import_path":"content/sets-functions-relations/sets/unions-and-intersections.tex","occurrence_id":"c80:OLP-0008:problem:003:main-fol","printed_number":"1.6","source":{"block":{"bytes":97,"sha256":"1035eac7077bb0c59b47e68218045d98a29ebfea96fc5b6c7913c0d0a25abe1f"},"byte_end_exclusive":4798,"byte_start":4701,"end_line":136,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":134},"source_file":{"bytes":6075,"sha256":"2ad0eec70308ceeff2a4158b2dee60e59a9b1cf9268fc95c4bb1da05f65ad60d"},"source_occurrence_order":6,"source_path":"content/sets-functions-relations/sets/unions-and-intersections.tex","source_problem_id":"c80:OLP-0008:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":111,"sha256":"177f44133cc25122166c6beee2d777e5e303c22e177aa578ecc62e9f4cdbddc9"},"byte_end_exclusive":5151,"byte_start":5040,"end_line":148,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":145},"target_file":{"bytes":6512,"sha256":"89b0e3a252e78b52b7a683b8a9c7a5620bb77eb10dd9360ff0327f50016b28c8"},"target_path":"locale/id/content/sets-functions-relations/sets/unions-and-intersections.tex"},"number":"1.6","physical_page":37,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","section_title_id":"Gabungan dan Irisan","solution_state":"not_audited","source_problem_id":"c80:OLP-0008:problem:003","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0008"},{"chapter":"main:1","component":"main","id":"c80:OLP-0008:problem:004:main-fol","local_reader_url":"reader.pdf#page=37","mapping":{"canonical_section_label":"sfr:set:uni:sec","canonical_section_value":["1.4","28","Gabungan dan Irisan","section*.37",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","combined_page":37,"destination":"probd*.89","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0008","observed_import_path":"content/sets-functions-relations/sets/unions-and-intersections.tex","occurrence_id":"c80:OLP-0008:problem:004:main-fol","printed_number":"1.7","source":{"block":{"bytes":95,"sha256":"d7e62960bef753d59fca76dc808bdd27b23f8654e2c49565b5b5e0e53d67f97a"},"byte_end_exclusive":6055,"byte_start":5960,"end_line":172,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":170},"source_file":{"bytes":6075,"sha256":"2ad0eec70308ceeff2a4158b2dee60e59a9b1cf9268fc95c4bb1da05f65ad60d"},"source_occurrence_order":7,"source_path":"content/sets-functions-relations/sets/unions-and-intersections.tex","source_problem_id":"c80:OLP-0008:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":100,"sha256":"c8001f03429ed886a26bef877ecc8dc78b8a2c601b78551469b06628d64e7eaf"},"byte_end_exclusive":6495,"byte_start":6395,"end_line":188,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":185},"target_file":{"bytes":6512,"sha256":"89b0e3a252e78b52b7a683b8a9c7a5620bb77eb10dd9360ff0327f50016b28c8"},"target_path":"locale/id/content/sets-functions-relations/sets/unions-and-intersections.tex"},"number":"1.7","physical_page":37,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","section_title_id":"Gabungan dan Irisan","solution_state":"not_audited","source_problem_id":"c80:OLP-0008:problem:004","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0008"},{"chapter":"main:1","component":"main","id":"c80:OLP-0009:problem:001:main-fol","local_reader_url":"reader.pdf#page=37","mapping":{"canonical_section_label":"sfr:set:pai:sec","canonical_section_value":["1.5","31","Pasangan, Tupel, dan Hasil Kali Kartesius","section*.57",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","combined_page":37,"destination":"probd*.91","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0009","observed_import_path":"content/sets-functions-relations/sets/pairs-and-products.tex","occurrence_id":"c80:OLP-0009:problem:001:main-fol","printed_number":"1.8","source":{"block":{"bytes":143,"sha256":"5135baa48857ebd8bca1c00222521c87aa697b2531b7063cf13ee4373bf105bf"},"byte_end_exclusive":1226,"byte_start":1083,"end_line":36,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":33},"source_file":{"bytes":4645,"sha256":"3db7f0241d387b49488f70e78062c24192b813873618f761565d97bd7249431c"},"source_occurrence_order":8,"source_path":"content/sets-functions-relations/sets/pairs-and-products.tex","source_problem_id":"c80:OLP-0009:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":169,"sha256":"756dfeaa7ac26d8e440cd4f4aae06457912ab5156f9d17372586eb957aaa1595"},"byte_end_exclusive":1391,"byte_start":1222,"end_line":40,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":36},"target_file":{"bytes":5061,"sha256":"da745212e2156cc733982e83338f45db669bfe7dab8d6b0d55665649b6c2cce8"},"target_path":"locale/id/content/sets-functions-relations/sets/pairs-and-products.tex"},"number":"1.8","physical_page":37,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","section_title_id":"Pasangan, Tupel, dan Hasil Kali Kartesius","solution_state":"not_audited","source_problem_id":"c80:OLP-0009:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0009"},{"chapter":"main:1","component":"main","id":"c80:OLP-0009:problem:002:main-fol","local_reader_url":"reader.pdf#page=37","mapping":{"canonical_section_label":"sfr:set:pai:sec","canonical_section_value":["1.5","31","Pasangan, Tupel, dan Hasil Kali Kartesius","section*.57",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","combined_page":37,"destination":"probd*.93","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0009","observed_import_path":"content/sets-functions-relations/sets/pairs-and-products.tex","occurrence_id":"c80:OLP-0009:problem:002:main-fol","printed_number":"1.9","source":{"block":{"bytes":67,"sha256":"348aefa0d90556ff61d307b48f4b311203ca15e30e1e3015ff9bf4f05f950792"},"byte_end_exclusive":2766,"byte_start":2699,"end_line":81,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":79},"source_file":{"bytes":4645,"sha256":"3db7f0241d387b49488f70e78062c24192b813873618f761565d97bd7249431c"},"source_occurrence_order":9,"source_path":"content/sets-functions-relations/sets/pairs-and-products.tex","source_problem_id":"c80:OLP-0009:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":73,"sha256":"d79aa5c330aac52537ac2e556a9490000fa1e04716d7e309e7fd100112bf7fb3"},"byte_end_exclusive":3079,"byte_start":3006,"end_line":90,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":88},"target_file":{"bytes":5061,"sha256":"da745212e2156cc733982e83338f45db669bfe7dab8d6b0d55665649b6c2cce8"},"target_path":"locale/id/content/sets-functions-relations/sets/pairs-and-products.tex"},"number":"1.9","physical_page":37,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","section_title_id":"Pasangan, Tupel, dan Hasil Kali Kartesius","solution_state":"not_audited","source_problem_id":"c80:OLP-0009:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0009"},{"chapter":"main:1","component":"main","id":"c80:OLP-0009:problem:003:main-fol","local_reader_url":"reader.pdf#page=37","mapping":{"canonical_section_label":"sfr:set:pai:sec","canonical_section_value":["1.5","31","Pasangan, Tupel, dan Hasil Kali Kartesius","section*.57",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","combined_page":37,"destination":"probd*.95","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0009","observed_import_path":"content/sets-functions-relations/sets/pairs-and-products.tex","occurrence_id":"c80:OLP-0009:problem:003:main-fol","printed_number":"1.10","source":{"block":{"bytes":141,"sha256":"ab90d582fd34697c1fef2568dae8067ad8c6fdc5ff70556c3e62a908c0f79886"},"byte_end_exclusive":4018,"byte_start":3877,"end_line":113,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":110},"source_file":{"bytes":4645,"sha256":"3db7f0241d387b49488f70e78062c24192b813873618f761565d97bd7249431c"},"source_occurrence_order":10,"source_path":"content/sets-functions-relations/sets/pairs-and-products.tex","source_problem_id":"c80:OLP-0009:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":167,"sha256":"a69a5018955061bf0fdd61f462a9a09855ec18747637af61d93123d472986839"},"byte_end_exclusive":4405,"byte_start":4238,"end_line":126,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":122},"target_file":{"bytes":5061,"sha256":"da745212e2156cc733982e83338f45db669bfe7dab8d6b0d55665649b6c2cce8"},"target_path":"locale/id/content/sets-functions-relations/sets/pairs-and-products.tex"},"number":"1.10","physical_page":37,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=37","section_title_id":"Pasangan, Tupel, dan Hasil Kali Kartesius","solution_state":"not_audited","source_problem_id":"c80:OLP-0009:problem:003","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0009"},{"chapter":"main:2","component":"main","id":"c80:OLP-0012:problem:001:main-fol","local_reader_url":"reader.pdf#page=49","mapping":{"canonical_section_label":"sfr:rel:set:sec","canonical_section_value":["2.1","35","Relasi sebagai Himpunan","section*.97",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=49","combined_page":49,"destination":"probd*.194","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0012","observed_import_path":"content/sets-functions-relations/relations/relations-as-sets.tex","occurrence_id":"c80:OLP-0012:problem:001:main-fol","printed_number":"2.1","source":{"block":{"bytes":112,"sha256":"177a66b7e9b7a7c502a297a0ec2e0f7193607ef0b99b7594332fe235218d51b9"},"byte_end_exclusive":5356,"byte_start":5244,"end_line":123,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":120},"source_file":{"bytes":5376,"sha256":"412c6fa44ead94f076dfea7cd23f9e3cd748b08c1882dcb129b15f8efcf5c29c"},"source_occurrence_order":11,"source_path":"content/sets-functions-relations/relations/relations-as-sets.tex","source_problem_id":"c80:OLP-0012:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":109,"sha256":"141921b14e064971337b9865ad8968041f2cb6f1e6218ce1416480b0376b116d"},"byte_end_exclusive":5831,"byte_start":5722,"end_line":126,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":123},"target_file":{"bytes":5848,"sha256":"443bf2ee34c7d827c3b3149398aa2f7639106b5e0a9837a6132c589fa13ae41a"},"target_path":"locale/id/content/sets-functions-relations/relations/relations-as-sets.tex"},"number":"2.1","physical_page":49,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=49","section_title_id":"Relasi sebagai Himpunan","solution_state":"not_audited","source_problem_id":"c80:OLP-0012:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0012"},{"chapter":"main:2","component":"main","id":"c80:OLP-0014:problem:001:main-fol","local_reader_url":"reader.pdf#page=49","mapping":{"canonical_section_label":"sfr:rel:prp:sec","canonical_section_value":["2.3","37","Sifat Khusus Relasi","section*.103",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=49","combined_page":49,"destination":"probd*.196","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0014","observed_import_path":"content/sets-functions-relations/relations/special-properties.tex","occurrence_id":"c80:OLP-0014:problem:001:main-fol","printed_number":"2.2","source":{"block":{"bytes":285,"sha256":"57604e92ed5cf724494adb25443e171393e97e4a07d971721d0663cec4942784"},"byte_end_exclusive":2551,"byte_start":2266,"end_line":67,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":62},"source_file":{"bytes":3165,"sha256":"f9bdfcb4c680ea58fdb209f0347c2f8055de96558caf69a26ec3ce8e1e7ce6a1"},"source_occurrence_order":12,"source_path":"content/sets-functions-relations/relations/special-properties.tex","source_problem_id":"c80:OLP-0014:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":287,"sha256":"36dea44c8a71aaf55e168d955de75878b80613ebada067a1b120aa1954bcf9fd"},"byte_end_exclusive":2632,"byte_start":2345,"end_line":66,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":61},"target_file":{"bytes":3268,"sha256":"9f7889678db881f58b2dfb0bc38e52bf8a9af54c5ecbbded5ac356e790d859b5"},"target_path":"locale/id/content/sets-functions-relations/relations/special-properties.tex"},"number":"2.2","physical_page":49,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=49","section_title_id":"Sifat Khusus Relasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0014:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0014"},{"chapter":"main:2","component":"main","id":"c80:OLP-0015:problem:001:main-fol","local_reader_url":"reader.pdf#page=49","mapping":{"canonical_section_label":"sfr:rel:eqv:sec","canonical_section_value":["2.4","38","Relasi Ekuivalensi","section*.118",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=49","combined_page":49,"destination":"probd*.198","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0015","observed_import_path":"content/sets-functions-relations/relations/equivalence-relations.tex","occurrence_id":"c80:OLP-0015:problem:001:main-fol","printed_number":"2.3","source":{"block":{"bytes":164,"sha256":"0b1936a73db98756b745384174e5a8fe00a0de20e4f3208371213069d0c02294"},"byte_end_exclusive":3450,"byte_start":3286,"end_line":81,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":78},"source_file":{"bytes":3470,"sha256":"0b2167d0a9633938fd173d396f9e92b795826821471ff111483f7c7088a4be46"},"source_occurrence_order":13,"source_path":"content/sets-functions-relations/relations/equivalence-relations.tex","source_problem_id":"c80:OLP-0015:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":178,"sha256":"90dfba0673c82522496fe26fff2f5136eeaa9af018dcaf2d80f57dd098e6bc59"},"byte_end_exclusive":3636,"byte_start":3458,"end_line":81,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":78},"target_file":{"bytes":3653,"sha256":"c41e82bd6adf5ed0faf7e1faa83b8b6e74c44d97c71e49682ecead80dc2864bc"},"target_path":"locale/id/content/sets-functions-relations/relations/equivalence-relations.tex"},"number":"2.3","physical_page":49,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=49","section_title_id":"Relasi Ekuivalensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0015:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0015"},{"chapter":"main:2","component":"main","id":"c80:OLP-0016:problem:001:main-fol","local_reader_url":"reader.pdf#page=50","mapping":{"canonical_section_label":"sfr:rel:ord:sec","canonical_section_value":["2.5","39","Urutan","section*.128",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=50","combined_page":50,"destination":"probd*.200","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0016","observed_import_path":"content/sets-functions-relations/relations/orders.tex","occurrence_id":"c80:OLP-0016:problem:001:main-fol","printed_number":"2.4","source":{"block":{"bytes":87,"sha256":"934578be169cda911b1c3a37acf0c1204f28734df1346af650f98e8f6b5a6a94"},"byte_end_exclusive":5902,"byte_start":5815,"end_line":150,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":148},"source_file":{"bytes":6476,"sha256":"c6b7f7f49379f9cac28d844270639eae141152978ef8ad68065d0cfd83ccbd38"},"source_occurrence_order":14,"source_path":"content/sets-functions-relations/relations/orders.tex","source_problem_id":"c80:OLP-0016:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":88,"sha256":"cf0769c66f2c3b502d52658f17506a7e46ae367da69449948e9d8563d9dc196d"},"byte_end_exclusive":6214,"byte_start":6126,"end_line":152,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":150},"target_file":{"bytes":6804,"sha256":"6d268fe796522132d5e548e5c2dc2649a5614a3d144812ef5e7007dc3183b8a1"},"target_path":"locale/id/content/sets-functions-relations/relations/orders.tex"},"number":"2.4","physical_page":50,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=50","section_title_id":"Urutan","solution_state":"not_audited","source_problem_id":"c80:OLP-0016:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0016"},{"chapter":"main:2","component":"main","id":"c80:OLP-0017:problem:001:main-fol","local_reader_url":"reader.pdf#page=50","mapping":{"canonical_section_label":"sfr:rel:grp:sec","canonical_section_value":["2.6","41","Graf","section*.160",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=50","combined_page":50,"destination":"probd*.202","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0017","observed_import_path":"content/sets-functions-relations/relations/graphs.tex","occurrence_id":"c80:OLP-0017:problem:001:main-fol","printed_number":"2.5","source":{"block":{"bytes":155,"sha256":"0ac83bf4181da29d952bdacd6e30018fbd66bf60424e57ef3817f1b6e677b592"},"byte_end_exclusive":2996,"byte_start":2841,"end_line":75,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":72},"source_file":{"bytes":3016,"sha256":"a538018608ce97d0b371a392912c3d6825d8f3b17719bceca5744a77ace26351"},"source_occurrence_order":15,"source_path":"content/sets-functions-relations/relations/graphs.tex","source_problem_id":"c80:OLP-0017:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":172,"sha256":"0aea2e77622152e7eb604375ab04cd8ce26d42aab0158c2ac4ab181378bb7f1c"},"byte_end_exclusive":3058,"byte_start":2886,"end_line":75,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":72},"target_file":{"bytes":3075,"sha256":"839813706bd09ac71ff4bbf669243606e876a6241f22de56a3eca208ad844d79"},"target_path":"locale/id/content/sets-functions-relations/relations/graphs.tex"},"number":"2.5","physical_page":50,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=50","section_title_id":"Graf","solution_state":"not_audited","source_problem_id":"c80:OLP-0017:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0017"},{"chapter":"main:2","component":"main","id":"c80:OLP-0019:problem:001:main-fol","local_reader_url":"reader.pdf#page=50","mapping":{"canonical_section_label":"sfr:rel:ops:sec","canonical_section_value":["2.8","43","Operasi pada Relasi","section*.183",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=50","combined_page":50,"destination":"probd*.204","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0019","observed_import_path":"content/sets-functions-relations/relations/operations.tex","occurrence_id":"c80:OLP-0019:problem:001:main-fol","printed_number":"2.6","source":{"block":{"bytes":88,"sha256":"fdad797498dbf459809e3123c60c57a2d645634eb650978cf2f28a420cdefb5a"},"byte_end_exclusive":2214,"byte_start":2126,"end_line":69,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":67},"source_file":{"bytes":2234,"sha256":"5e6f57e9ddf53e1624955adabd594ea3855ad787c1074ba12421b0025b432372"},"source_occurrence_order":16,"source_path":"content/sets-functions-relations/relations/operations.tex","source_problem_id":"c80:OLP-0019:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":86,"sha256":"0918424764f503a1b433ec2cee63523272f6c91f7ae64465ffe7e2159a1a5432"},"byte_end_exclusive":2338,"byte_start":2252,"end_line":72,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":70},"target_file":{"bytes":2355,"sha256":"6545a3917d221fb4aa9f21fc7094fa0b17098491eea0b3eca183ac8cabdc7914"},"target_path":"locale/id/content/sets-functions-relations/relations/operations.tex"},"number":"2.6","physical_page":50,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=50","section_title_id":"Operasi pada Relasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0019:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0019"},{"chapter":"main:3","component":"main","id":"c80:OLP-0024:problem:001:main-fol","local_reader_url":"reader.pdf#page=61","mapping":{"canonical_section_label":"sfr:fun:inv:sec","canonical_section_value":["3.4","50","Invers Fungsi","section*.244",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","combined_page":61,"destination":"probd*.283","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0024","observed_import_path":"content/sets-functions-relations/functions/inverses.tex","occurrence_id":"c80:OLP-0024:problem:001:main-fol","printed_number":"3.1","source":{"block":{"bytes":108,"sha256":"bd9a7f1d84dee3da6bc18e1739fed3822c2bfd89d8043a5e87638cbccdd7d4f5"},"byte_end_exclusive":3546,"byte_start":3438,"end_line":89,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":86},"source_file":{"bytes":6924,"sha256":"93a84a2705e1ed3c92a7f5206c4308420bebbbbcb43824c1eb50e05f83777c4b"},"source_occurrence_order":17,"source_path":"content/sets-functions-relations/functions/inverses.tex","source_problem_id":"c80:OLP-0024:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":122,"sha256":"7abf3dc57a416c2b7569d7cf5aebb5008583c11ed03a4a9afb31579a02dc382a"},"byte_end_exclusive":3914,"byte_start":3792,"end_line":92,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":89},"target_file":{"bytes":7631,"sha256":"413fe12dd9f9f3dee4fedbbc9928990579acc4510811b67ec1e524d92c97e81b"},"target_path":"locale/id/content/sets-functions-relations/functions/inverses.tex"},"number":"3.1","physical_page":61,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","section_title_id":"Invers Fungsi","solution_state":"not_audited","source_problem_id":"c80:OLP-0024:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0024"},{"chapter":"main:3","component":"main","id":"c80:OLP-0024:problem:002:main-fol","local_reader_url":"reader.pdf#page=61","mapping":{"canonical_section_label":"sfr:fun:inv:sec","canonical_section_value":["3.4","50","Invers Fungsi","section*.244",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","combined_page":61,"destination":"probd*.285","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0024","observed_import_path":"content/sets-functions-relations/functions/inverses.tex","occurrence_id":"c80:OLP-0024:problem:002:main-fol","printed_number":"3.2","source":{"block":{"bytes":110,"sha256":"6af1ff25fcecc4347e537dddbc818331b387e24874e5e2f7c9b1ea8a3bfcdf54"},"byte_end_exclusive":5095,"byte_start":4985,"end_line":119,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":116},"source_file":{"bytes":6924,"sha256":"93a84a2705e1ed3c92a7f5206c4308420bebbbbcb43824c1eb50e05f83777c4b"},"source_occurrence_order":18,"source_path":"content/sets-functions-relations/functions/inverses.tex","source_problem_id":"c80:OLP-0024:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":124,"sha256":"66fbdb62b2935d20082ff0af436cda15eb424ca932dbc8d7b5b0c93c5710541c"},"byte_end_exclusive":5639,"byte_start":5515,"end_line":126,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":123},"target_file":{"bytes":7631,"sha256":"413fe12dd9f9f3dee4fedbbc9928990579acc4510811b67ec1e524d92c97e81b"},"target_path":"locale/id/content/sets-functions-relations/functions/inverses.tex"},"number":"3.2","physical_page":61,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","section_title_id":"Invers Fungsi","solution_state":"not_audited","source_problem_id":"c80:OLP-0024:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0024"},{"chapter":"main:3","component":"main","id":"c80:OLP-0024:problem:003:main-fol","local_reader_url":"reader.pdf#page=61","mapping":{"canonical_section_label":"sfr:fun:inv:sec","canonical_section_value":["3.4","50","Invers Fungsi","section*.244",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","combined_page":61,"destination":"probd*.287","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0024","observed_import_path":"content/sets-functions-relations/functions/inverses.tex","occurrence_id":"c80:OLP-0024:problem:003:main-fol","printed_number":"3.3","source":{"block":{"bytes":258,"sha256":"57ae6b172e1a91a86c5871fc5dcfb8238fec724cc8963f75a937939eed7cfa64"},"byte_end_exclusive":5853,"byte_start":5595,"end_line":142,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":137},"source_file":{"bytes":6924,"sha256":"93a84a2705e1ed3c92a7f5206c4308420bebbbbcb43824c1eb50e05f83777c4b"},"source_occurrence_order":19,"source_path":"content/sets-functions-relations/functions/inverses.tex","source_problem_id":"c80:OLP-0024:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":294,"sha256":"0186ec2532b2d4194c51bf58026f23377cd24233456ed0d8152e28b30800e8e6"},"byte_end_exclusive":6476,"byte_start":6182,"end_line":149,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":144},"target_file":{"bytes":7631,"sha256":"413fe12dd9f9f3dee4fedbbc9928990579acc4510811b67ec1e524d92c97e81b"},"target_path":"locale/id/content/sets-functions-relations/functions/inverses.tex"},"number":"3.3","physical_page":61,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","section_title_id":"Invers Fungsi","solution_state":"not_audited","source_problem_id":"c80:OLP-0024:problem:003","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0024"},{"chapter":"main:3","component":"main","id":"c80:OLP-0024:problem:004:main-fol","local_reader_url":"reader.pdf#page=61","mapping":{"canonical_section_label":"sfr:fun:inv:sec","canonical_section_value":["3.4","50","Invers Fungsi","section*.244",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","combined_page":61,"destination":"probd*.289","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0024","observed_import_path":"content/sets-functions-relations/functions/inverses.tex","occurrence_id":"c80:OLP-0024:problem:004:main-fol","printed_number":"3.4","source":{"block":{"bytes":73,"sha256":"b84d442bae67a3cd3e16916927b1986776f45b2232221fd0225393eae800a27a"},"byte_end_exclusive":6604,"byte_start":6531,"end_line":165,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":163},"source_file":{"bytes":6924,"sha256":"93a84a2705e1ed3c92a7f5206c4308420bebbbbcb43824c1eb50e05f83777c4b"},"source_occurrence_order":20,"source_path":"content/sets-functions-relations/functions/inverses.tex","source_problem_id":"c80:OLP-0024:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":74,"sha256":"a477845864366f1549439494f9917daba6b9c09d04807675b47a04f502cc94fc"},"byte_end_exclusive":7285,"byte_start":7211,"end_line":172,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":170},"target_file":{"bytes":7631,"sha256":"413fe12dd9f9f3dee4fedbbc9928990579acc4510811b67ec1e524d92c97e81b"},"target_path":"locale/id/content/sets-functions-relations/functions/inverses.tex"},"number":"3.4","physical_page":61,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","section_title_id":"Invers Fungsi","solution_state":"not_audited","source_problem_id":"c80:OLP-0024:problem:004","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0024"},{"chapter":"main:3","component":"main","id":"c80:OLP-0025:problem:001:main-fol","local_reader_url":"reader.pdf#page=61","mapping":{"canonical_section_label":"sfr:fun:cmp:sec","canonical_section_value":["3.5","51","Komposisi Fungsi","section*.263",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","combined_page":61,"destination":"probd*.291","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0025","observed_import_path":"content/sets-functions-relations/functions/composition.tex","occurrence_id":"c80:OLP-0025:problem:001:main-fol","printed_number":"3.5","source":{"block":{"bytes":156,"sha256":"11b85b1dce46a1f8c8d913421757bca8a4d73fabdd275763ec71604114e06ad9"},"byte_end_exclusive":2253,"byte_start":2097,"end_line":55,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":52},"source_file":{"bytes":2572,"sha256":"091c7ab9e4d0517b2a62f4ecf10e4eb75f0f83e31e1bbd9c365c4b751b981fee"},"source_occurrence_order":21,"source_path":"content/sets-functions-relations/functions/composition.tex","source_problem_id":"c80:OLP-0025:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":167,"sha256":"62fdf6e5e5745d0dc79c71b6d528a6fad1998ddbfcf4eeb42bd021584c3c77fe"},"byte_end_exclusive":2334,"byte_start":2167,"end_line":55,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":52},"target_file":{"bytes":2662,"sha256":"8cf9550968e19aab526ea096efc30132705d42b76a95d8ff1a076a34002d3005"},"target_path":"locale/id/content/sets-functions-relations/functions/composition.tex"},"number":"3.5","physical_page":61,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","section_title_id":"Komposisi Fungsi","solution_state":"not_audited","source_problem_id":"c80:OLP-0025:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0025"},{"chapter":"main:3","component":"main","id":"c80:OLP-0025:problem:002:main-fol","local_reader_url":"reader.pdf#page=61","mapping":{"canonical_section_label":"sfr:fun:cmp:sec","canonical_section_value":["3.5","51","Komposisi Fungsi","section*.263",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","combined_page":61,"destination":"probd*.293","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0025","observed_import_path":"content/sets-functions-relations/functions/composition.tex","occurrence_id":"c80:OLP-0025:problem:002:main-fol","printed_number":"3.6","source":{"block":{"bytes":158,"sha256":"eafb36ad82c8225268467e4aced73006a925ec2242bee209bb61191501ec8c0a"},"byte_end_exclusive":2415,"byte_start":2257,"end_line":60,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":57},"source_file":{"bytes":2572,"sha256":"091c7ab9e4d0517b2a62f4ecf10e4eb75f0f83e31e1bbd9c365c4b751b981fee"},"source_occurrence_order":22,"source_path":"content/sets-functions-relations/functions/composition.tex","source_problem_id":"c80:OLP-0025:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":169,"sha256":"4f74d5178d53e80809f07fc9912ad72e3005830835e7a2b4daa09138be8b4d37"},"byte_end_exclusive":2505,"byte_start":2336,"end_line":60,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":57},"target_file":{"bytes":2662,"sha256":"8cf9550968e19aab526ea096efc30132705d42b76a95d8ff1a076a34002d3005"},"target_path":"locale/id/content/sets-functions-relations/functions/composition.tex"},"number":"3.6","physical_page":61,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","section_title_id":"Komposisi Fungsi","solution_state":"not_audited","source_problem_id":"c80:OLP-0025:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0025"},{"chapter":"main:3","component":"main","id":"c80:OLP-0025:problem:003:main-fol","local_reader_url":"reader.pdf#page=61","mapping":{"canonical_section_label":"sfr:fun:cmp:sec","canonical_section_value":["3.5","51","Komposisi Fungsi","section*.263",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","combined_page":61,"destination":"probd*.295","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0025","observed_import_path":"content/sets-functions-relations/functions/composition.tex","occurrence_id":"c80:OLP-0025:problem:003:main-fol","printed_number":"3.7","source":{"block":{"bytes":133,"sha256":"1793a77a2c809c658f61e989a90d4085477876aede55cd2ca23188c3727243b4"},"byte_end_exclusive":2552,"byte_start":2419,"end_line":65,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":62},"source_file":{"bytes":2572,"sha256":"091c7ab9e4d0517b2a62f4ecf10e4eb75f0f83e31e1bbd9c365c4b751b981fee"},"source_occurrence_order":23,"source_path":"content/sets-functions-relations/functions/composition.tex","source_problem_id":"c80:OLP-0025:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":138,"sha256":"4765c64aec34e2e44e78f193c97266872e021cf4aede84c9364e40d06265e0d2"},"byte_end_exclusive":2645,"byte_start":2507,"end_line":65,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":62},"target_file":{"bytes":2662,"sha256":"8cf9550968e19aab526ea096efc30132705d42b76a95d8ff1a076a34002d3005"},"target_path":"locale/id/content/sets-functions-relations/functions/composition.tex"},"number":"3.7","physical_page":61,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","section_title_id":"Komposisi Fungsi","solution_state":"not_audited","source_problem_id":"c80:OLP-0025:problem:003","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0025"},{"chapter":"main:3","component":"main","id":"c80:OLP-0026:problem:001:main-fol","local_reader_url":"reader.pdf#page=61","mapping":{"canonical_section_label":"sfr:fun:par:sec","canonical_section_value":["3.6","52","Fungsi Parsial","section*.269",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","combined_page":61,"destination":"probd*.297","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0026","observed_import_path":"content/sets-functions-relations/functions/partial-functions.tex","occurrence_id":"c80:OLP-0026:problem:001:main-fol","printed_number":"3.8","source":{"block":{"bytes":344,"sha256":"73f04a519cc2fe2091b6d5998de01c4f2ca7e2a46290b3e1952c972182bde47b"},"byte_end_exclusive":1708,"byte_start":1364,"end_line":48,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":42},"source_file":{"bytes":2676,"sha256":"2a1e79725a70fde443cc3c19c325a2c422c49e7ccd095c965f8c50fd5cc6b10b"},"source_occurrence_order":24,"source_path":"content/sets-functions-relations/functions/partial-functions.tex","source_problem_id":"c80:OLP-0026:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":380,"sha256":"06baf01dd8df646ca04582844055ce265abe998908e8d8e224a881c4a245ef8f"},"byte_end_exclusive":1799,"byte_start":1419,"end_line":48,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":42},"target_file":{"bytes":2768,"sha256":"1d49d40e0a901b7bdd7a0b2b78572615b4ec9c1c6cf246b93596cac63398dba0"},"target_path":"locale/id/content/sets-functions-relations/functions/partial-functions.tex"},"number":"3.8","physical_page":61,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=61","section_title_id":"Fungsi Parsial","solution_state":"not_audited","source_problem_id":"c80:OLP-0026:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0026"},{"chapter":"main:4","component":"main","id":"c80:OLP-0029:problem:001:main-fol","local_reader_url":"reader.pdf#page=85","mapping":{"canonical_section_label":"sfr:siz:enm:sec","canonical_section_value":["4.2","54","Enumerasi dan Himpunan \\usetoken {S}{enumerable}","section*.300",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=85","combined_page":85,"destination":"probd*.401","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0029","observed_import_path":"content/sets-functions-relations/size-of-sets/enumerability.tex","occurrence_id":"c80:OLP-0029:problem:001:main-fol","printed_number":"4.1","source":{"block":{"bytes":98,"sha256":"13b9a78a8ecb4dc619ba06033a8292b6627a36844698134090d83f8f05962d47"},"byte_end_exclusive":5923,"byte_start":5825,"end_line":138,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":136},"source_file":{"bytes":12285,"sha256":"7657db317a07eef9cd5497ad88997483dd43c9f94f27d257abe857084886a2fe"},"source_occurrence_order":25,"source_path":"content/sets-functions-relations/size-of-sets/enumerability.tex","source_problem_id":"c80:OLP-0029:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":108,"sha256":"9d6c734b1a9fd15f273f0c3a9d1af80602f139c503e605038b372df1800e7adc"},"byte_end_exclusive":6388,"byte_start":6280,"end_line":140,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":137},"target_file":{"bytes":13393,"sha256":"3b2638788e397807dc477a926ad1139f5af04218a09eb6b0994a987dbe13a0b2"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/enumerability.tex"},"number":"4.1","physical_page":85,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=85","section_title_id":"Enumerasi dan Himpunan Terhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0029:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0029"},{"chapter":"main:4","component":"main","id":"c80:OLP-0029:problem:002:main-fol","local_reader_url":"reader.pdf#page=85","mapping":{"canonical_section_label":"sfr:siz:enm:sec","canonical_section_value":["4.2","54","Enumerasi dan Himpunan \\usetoken {S}{enumerable}","section*.300",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=85","combined_page":85,"destination":"probd*.403","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0029","observed_import_path":"content/sets-functions-relations/size-of-sets/enumerability.tex","occurrence_id":"c80:OLP-0029:problem:002:main-fol","printed_number":"4.2","source":{"block":{"bytes":368,"sha256":"cd72bcbfb8eec6a730b52762d9e2014d6de6322b55de4d0cd4e65d419dc1ec47"},"byte_end_exclusive":7226,"byte_start":6858,"end_line":170,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":164},"source_file":{"bytes":12285,"sha256":"7657db317a07eef9cd5497ad88997483dd43c9f94f27d257abe857084886a2fe"},"source_occurrence_order":26,"source_path":"content/sets-functions-relations/size-of-sets/enumerability.tex","source_problem_id":"c80:OLP-0029:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":396,"sha256":"59b981958faa1acd712a89028088e711275c851c4a7369652450a7386bc1d1e1"},"byte_end_exclusive":7776,"byte_start":7380,"end_line":173,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":167},"target_file":{"bytes":13393,"sha256":"3b2638788e397807dc477a926ad1139f5af04218a09eb6b0994a987dbe13a0b2"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/enumerability.tex"},"number":"4.2","physical_page":85,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=85","section_title_id":"Enumerasi dan Himpunan Terhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0029:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0029"},{"chapter":"main:4","component":"main","id":"c80:OLP-0029:problem:003:main-fol","local_reader_url":"reader.pdf#page=85","mapping":{"canonical_section_label":"sfr:siz:enm:sec","canonical_section_value":["4.2","54","Enumerasi dan Himpunan \\usetoken {S}{enumerable}","section*.300",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=85","combined_page":85,"destination":"probd*.405","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0029","observed_import_path":"content/sets-functions-relations/size-of-sets/enumerability.tex","occurrence_id":"c80:OLP-0029:problem:003:main-fol","printed_number":"4.3","source":{"block":{"bytes":308,"sha256":"d47888fc3e3b40b1a001cc22f81e26b8348c41a1e4c7e2dda7e2a3b1e27f1839"},"byte_end_exclusive":7540,"byte_start":7232,"end_line":177,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":172},"source_file":{"bytes":12285,"sha256":"7657db317a07eef9cd5497ad88997483dd43c9f94f27d257abe857084886a2fe"},"source_occurrence_order":27,"source_path":"content/sets-functions-relations/size-of-sets/enumerability.tex","source_problem_id":"c80:OLP-0029:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":350,"sha256":"2830e009c5d07c6cd39489b96492c4e478c5b333efb9fa3220241bf7e1d1ea02"},"byte_end_exclusive":8128,"byte_start":7778,"end_line":181,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":175},"target_file":{"bytes":13393,"sha256":"3b2638788e397807dc477a926ad1139f5af04218a09eb6b0994a987dbe13a0b2"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/enumerability.tex"},"number":"4.3","physical_page":85,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=85","section_title_id":"Enumerasi dan Himpunan Terhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0029:problem:003","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0029"},{"chapter":"main:4","component":"main","id":"c80:OLP-0029:problem:004:main-fol","local_reader_url":"reader.pdf#page=85","mapping":{"canonical_section_label":"sfr:siz:enm:sec","canonical_section_value":["4.2","54","Enumerasi dan Himpunan \\usetoken {S}{enumerable}","section*.300",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=85","combined_page":85,"destination":"probd*.407","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0029","observed_import_path":"content/sets-functions-relations/size-of-sets/enumerability.tex","occurrence_id":"c80:OLP-0029:problem:004:main-fol","printed_number":"4.4","source":{"block":{"bytes":245,"sha256":"69bb26b3e2f88d0d9f9db37b5d4cfed40c6dad4fe634d7968a6abf99d16f3524"},"byte_end_exclusive":7793,"byte_start":7548,"end_line":184,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":179},"source_file":{"bytes":12285,"sha256":"7657db317a07eef9cd5497ad88997483dd43c9f94f27d257abe857084886a2fe"},"source_occurrence_order":28,"source_path":"content/sets-functions-relations/size-of-sets/enumerability.tex","source_problem_id":"c80:OLP-0029:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":293,"sha256":"fea4e65ec6eadf9d0090a8d91ddddff55985adfc3cbdaf928eae7236255fb2f6"},"byte_end_exclusive":8423,"byte_start":8130,"end_line":188,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":183},"target_file":{"bytes":13393,"sha256":"3b2638788e397807dc477a926ad1139f5af04218a09eb6b0994a987dbe13a0b2"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/enumerability.tex"},"number":"4.4","physical_page":85,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=85","section_title_id":"Enumerasi dan Himpunan Terhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0029:problem:004","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0029"},{"chapter":"main:4","component":"main","id":"c80:OLP-0029:problem:005:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:enm:sec","canonical_section_value":["4.2","54","Enumerasi dan Himpunan \\usetoken {S}{enumerable}","section*.300",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.409","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0029","observed_import_path":"content/sets-functions-relations/size-of-sets/enumerability.tex","occurrence_id":"c80:OLP-0029:problem:005:main-fol","printed_number":"4.5","source":{"block":{"bytes":544,"sha256":"67c6f2233e53d80db4f7df1653639b56984cd523e95c26eff51b19f01a76c84c"},"byte_end_exclusive":12265,"byte_start":11721,"end_line":277,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":268},"source_file":{"bytes":12285,"sha256":"7657db317a07eef9cd5497ad88997483dd43c9f94f27d257abe857084886a2fe"},"source_occurrence_order":29,"source_path":"content/sets-functions-relations/size-of-sets/enumerability.tex","source_problem_id":"c80:OLP-0029:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":625,"sha256":"b9e580b81d6c4c34f0c96e2edaef4a7f9c96c81790fc2d043389b440209d7cc1"},"byte_end_exclusive":13376,"byte_start":12751,"end_line":282,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":273},"target_file":{"bytes":13393,"sha256":"3b2638788e397807dc477a926ad1139f5af04218a09eb6b0994a987dbe13a0b2"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/enumerability.tex"},"number":"4.5","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Enumerasi dan Himpunan Terhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0029:problem:005","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0029"},{"chapter":"main:4","component":"main","id":"c80:OLP-0030:problem:001:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:zigzag:sec","canonical_section_value":["4.3","58","Metode Zig-Zag Cantor","section*.334",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.411","exact_problem_labels":["sfr:siz:zigzag:prob:posint-n"],"fol_context":true,"native_unit_id":"OLP-0030","observed_import_path":"content/sets-functions-relations/size-of-sets/zig-zag.tex","occurrence_id":"c80:OLP-0030:problem:001:main-fol","printed_number":"4.6","source":{"block":{"bytes":128,"sha256":"17ab345bf8943f38bdc1a324b98ae5d9c477c231bd30449ae88c9c35a97f1e1e"},"byte_end_exclusive":4319,"byte_start":4191,"end_line":120,"environment":"prob","environments":[],"labels":[],"literal_labels":["sfr:siz:zigzag:prob:posint-n"],"ordinal":1,"start_line":118},"source_file":{"bytes":4502,"sha256":"18bf058d52e22b9dbc7a08af314b58c81f35dd4009c0ccf726a0d00aec391dee"},"source_occurrence_order":30,"source_path":"content/sets-functions-relations/size-of-sets/zig-zag.tex","source_problem_id":"c80:OLP-0030:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":139,"sha256":"9344408040d14037e0aded86406258d75d1cd2685550350b3af61bd9de650ed9"},"byte_end_exclusive":4463,"byte_start":4324,"end_line":124,"environment":"prob","environments":[],"labels":[],"literal_labels":["sfr:siz:zigzag:prob:posint-n"],"ordinal":1,"start_line":122},"target_file":{"bytes":4661,"sha256":"fd5851dfe02c9538df727e6daf6a2aa17d36178ae82cf7061b46e24fd980b633"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/zig-zag.tex"},"number":"4.6","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Metode Zig-Zag Cantor","solution_state":"not_audited","source_problem_id":"c80:OLP-0030:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0030"},{"chapter":"main:4","component":"main","id":"c80:OLP-0030:problem:002:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:zigzag:sec","canonical_section_value":["4.3","58","Metode Zig-Zag Cantor","section*.334",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.413","exact_problem_labels":["sfr:siz:zigzag:prob:posint-star"],"fol_context":true,"native_unit_id":"OLP-0030","observed_import_path":"content/sets-functions-relations/size-of-sets/zig-zag.tex","occurrence_id":"c80:OLP-0030:problem:002:main-fol","printed_number":"4.7","source":{"block":{"bytes":161,"sha256":"455a0c64dd8fde56cf93fb7c0ba3ecce4cdc0f4daf01f1dfd29e88e633971ba2"},"byte_end_exclusive":4484,"byte_start":4323,"end_line":124,"environment":"prob","environments":[],"labels":[],"literal_labels":["sfr:siz:zigzag:prob:posint-star"],"ordinal":2,"start_line":122},"source_file":{"bytes":4502,"sha256":"18bf058d52e22b9dbc7a08af314b58c81f35dd4009c0ccf726a0d00aec391dee"},"source_occurrence_order":31,"source_path":"content/sets-functions-relations/size-of-sets/zig-zag.tex","source_problem_id":"c80:OLP-0030:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":179,"sha256":"83c8566d7ad589f176a036ab6f298757b7bb12fcc36fb1dc2f45b8b432137e55"},"byte_end_exclusive":4644,"byte_start":4465,"end_line":129,"environment":"prob","environments":[],"labels":[],"literal_labels":["sfr:siz:zigzag:prob:posint-star"],"ordinal":2,"start_line":126},"target_file":{"bytes":4661,"sha256":"fd5851dfe02c9538df727e6daf6a2aa17d36178ae82cf7061b46e24fd980b633"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/zig-zag.tex"},"number":"4.7","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Metode Zig-Zag Cantor","solution_state":"not_audited","source_problem_id":"c80:OLP-0030:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0030"},{"chapter":"main:4","component":"main","id":"c80:OLP-0031:problem:001:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:pai:sec","canonical_section_value":["4.4","59","Fungsi Pemasangan dan Kode","section*.340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.415","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0031","observed_import_path":"content/sets-functions-relations/size-of-sets/pairing.tex","occurrence_id":"c80:OLP-0031:problem:001:main-fol","printed_number":"4.8","source":{"block":{"bytes":95,"sha256":"bb0aebeb8ee5404e2c45140539cc9df034ca222a7e694722d8ce31b4310a9db3"},"byte_end_exclusive":2645,"byte_start":2550,"end_line":68,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":66},"source_file":{"bytes":4171,"sha256":"345a39184e28af727e378d5b5883b5e7d2e1c27cd729329376d19426ddaed484"},"source_occurrence_order":32,"source_path":"content/sets-functions-relations/size-of-sets/pairing.tex","source_problem_id":"c80:OLP-0031:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":98,"sha256":"a9ca358a4426a9e21da2de73ef674ad85738acea538ed2ae4809e3ec68509b7a"},"byte_end_exclusive":2854,"byte_start":2756,"end_line":67,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":65},"target_file":{"bytes":4594,"sha256":"d7aea9647ae10becb86d5651c7c9ba55ecdbe6720adc38c020134ac4facb830e"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/pairing.tex"},"number":"4.8","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Fungsi Pemasangan dan Kode","solution_state":"not_audited","source_problem_id":"c80:OLP-0031:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0031"},{"chapter":"main:4","component":"main","id":"c80:OLP-0031:problem:002:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:pai:sec","canonical_section_value":["4.4","59","Fungsi Pemasangan dan Kode","section*.340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.417","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0031","observed_import_path":"content/sets-functions-relations/size-of-sets/pairing.tex","occurrence_id":"c80:OLP-0031:problem:002:main-fol","printed_number":"4.9","source":{"block":{"bytes":165,"sha256":"55dc0d8f2f4eb69c0269670608d7c4340191353641abfeb38490b068acdfa650"},"byte_end_exclusive":2814,"byte_start":2649,"end_line":73,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":70},"source_file":{"bytes":4171,"sha256":"345a39184e28af727e378d5b5883b5e7d2e1c27cd729329376d19426ddaed484"},"source_occurrence_order":33,"source_path":"content/sets-functions-relations/size-of-sets/pairing.tex","source_problem_id":"c80:OLP-0031:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":179,"sha256":"600f78f26cb762146b51b1c891ea8a8769f30f535321ddce37b8331f058843e5"},"byte_end_exclusive":3035,"byte_start":2856,"end_line":72,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":69},"target_file":{"bytes":4594,"sha256":"d7aea9647ae10becb86d5651c7c9ba55ecdbe6720adc38c020134ac4facb830e"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/pairing.tex"},"number":"4.9","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Fungsi Pemasangan dan Kode","solution_state":"not_audited","source_problem_id":"c80:OLP-0031:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0031"},{"chapter":"main:4","component":"main","id":"c80:OLP-0031:problem:003:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:pai:sec","canonical_section_value":["4.4","59","Fungsi Pemasangan dan Kode","section*.340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.419","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0031","observed_import_path":"content/sets-functions-relations/size-of-sets/pairing.tex","occurrence_id":"c80:OLP-0031:problem:003:main-fol","printed_number":"4.10","source":{"block":{"bytes":60,"sha256":"6e583e923285a5ae825039df49e19e41a2fd0f6c028dfd0cfb822cb53f9b844f"},"byte_end_exclusive":2878,"byte_start":2818,"end_line":77,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":75},"source_file":{"bytes":4171,"sha256":"345a39184e28af727e378d5b5883b5e7d2e1c27cd729329376d19426ddaed484"},"source_occurrence_order":34,"source_path":"content/sets-functions-relations/size-of-sets/pairing.tex","source_problem_id":"c80:OLP-0031:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":67,"sha256":"419a47bb7f89980337e89b26c366bd3b6147ff57aa44741fac7609ec7cad00b5"},"byte_end_exclusive":3104,"byte_start":3037,"end_line":76,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":74},"target_file":{"bytes":4594,"sha256":"d7aea9647ae10becb86d5651c7c9ba55ecdbe6720adc38c020134ac4facb830e"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/pairing.tex"},"number":"4.10","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Fungsi Pemasangan dan Kode","solution_state":"not_audited","source_problem_id":"c80:OLP-0031:problem:003","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0031"},{"chapter":"main:4","component":"main","id":"c80:OLP-0031:problem:004:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:pai:sec","canonical_section_value":["4.4","59","Fungsi Pemasangan dan Kode","section*.340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.421","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0031","observed_import_path":"content/sets-functions-relations/size-of-sets/pairing.tex","occurrence_id":"c80:OLP-0031:problem:004:main-fol","printed_number":"4.11","source":{"block":{"bytes":278,"sha256":"cf3fb7ac99d756b2925b8a43a05c1a96553d7ccdc0ee8c44f8e6c3a243d09c8c"},"byte_end_exclusive":3160,"byte_start":2882,"end_line":84,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":79},"source_file":{"bytes":4171,"sha256":"345a39184e28af727e378d5b5883b5e7d2e1c27cd729329376d19426ddaed484"},"source_occurrence_order":35,"source_path":"content/sets-functions-relations/size-of-sets/pairing.tex","source_problem_id":"c80:OLP-0031:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":307,"sha256":"c034ada9a4b38a5b4364962a8524786a2c9e059f25c0a628c1f61bf2aef2f4c0"},"byte_end_exclusive":3413,"byte_start":3106,"end_line":83,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":78},"target_file":{"bytes":4594,"sha256":"d7aea9647ae10becb86d5651c7c9ba55ecdbe6720adc38c020134ac4facb830e"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/pairing.tex"},"number":"4.11","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Fungsi Pemasangan dan Kode","solution_state":"not_audited","source_problem_id":"c80:OLP-0031:problem:004","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0031"},{"chapter":"main:4","component":"main","id":"c80:OLP-0031:problem:005:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:pai:sec","canonical_section_value":["4.4","59","Fungsi Pemasangan dan Kode","section*.340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.423","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0031","observed_import_path":"content/sets-functions-relations/size-of-sets/pairing.tex","occurrence_id":"c80:OLP-0031:problem:005:main-fol","printed_number":"4.12","source":{"block":{"bytes":129,"sha256":"11a5456eff1a55ba01f17c3f4fad4a5ca2b76eaee0dd31fb0a0c7667d8af6e26"},"byte_end_exclusive":3293,"byte_start":3164,"end_line":89,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":86},"source_file":{"bytes":4171,"sha256":"345a39184e28af727e378d5b5883b5e7d2e1c27cd729329376d19426ddaed484"},"source_occurrence_order":36,"source_path":"content/sets-functions-relations/size-of-sets/pairing.tex","source_problem_id":"c80:OLP-0031:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":151,"sha256":"a837258a8c86587c4fda312106f1b91fdd238bc30bef3ebe2dcac6c7b29e6f54"},"byte_end_exclusive":3566,"byte_start":3415,"end_line":88,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":85},"target_file":{"bytes":4594,"sha256":"d7aea9647ae10becb86d5651c7c9ba55ecdbe6720adc38c020134ac4facb830e"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/pairing.tex"},"number":"4.12","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Fungsi Pemasangan dan Kode","solution_state":"not_audited","source_problem_id":"c80:OLP-0031:problem:005","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0031"},{"chapter":"main:4","component":"main","id":"c80:OLP-0031:problem:006:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:pai:sec","canonical_section_value":["4.4","59","Fungsi Pemasangan dan Kode","section*.340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.425","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0031","observed_import_path":"content/sets-functions-relations/size-of-sets/pairing.tex","occurrence_id":"c80:OLP-0031:problem:006:main-fol","printed_number":"4.13","source":{"block":{"bytes":326,"sha256":"3990358feb1a63faf69986681f2f1d24b6437e1eb1f4d39c6be3511cf0d09ed7"},"byte_end_exclusive":3623,"byte_start":3297,"end_line":97,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":6,"start_line":91},"source_file":{"bytes":4171,"sha256":"345a39184e28af727e378d5b5883b5e7d2e1c27cd729329376d19426ddaed484"},"source_occurrence_order":37,"source_path":"content/sets-functions-relations/size-of-sets/pairing.tex","source_problem_id":"c80:OLP-0031:problem:006","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":407,"sha256":"f02b24a870611e4d8f4f37e4869edc5d2f91b69345066ab9e929a2ce0063bfca"},"byte_end_exclusive":3975,"byte_start":3568,"end_line":97,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":6,"start_line":90},"target_file":{"bytes":4594,"sha256":"d7aea9647ae10becb86d5651c7c9ba55ecdbe6720adc38c020134ac4facb830e"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/pairing.tex"},"number":"4.13","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Fungsi Pemasangan dan Kode","solution_state":"not_audited","source_problem_id":"c80:OLP-0031:problem:006","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0031"},{"chapter":"main:4","component":"main","id":"c80:OLP-0031:problem:007:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:pai:sec","canonical_section_value":["4.4","59","Fungsi Pemasangan dan Kode","section*.340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.427","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0031","observed_import_path":"content/sets-functions-relations/size-of-sets/pairing.tex","occurrence_id":"c80:OLP-0031:problem:007:main-fol","printed_number":"4.14","source":{"block":{"bytes":290,"sha256":"cf239051b7e3e8a17485a46606773edc65bf979bf6942f288f4f30118ccbe354"},"byte_end_exclusive":3917,"byte_start":3627,"end_line":104,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":7,"start_line":99},"source_file":{"bytes":4171,"sha256":"345a39184e28af727e378d5b5883b5e7d2e1c27cd729329376d19426ddaed484"},"source_occurrence_order":38,"source_path":"content/sets-functions-relations/size-of-sets/pairing.tex","source_problem_id":"c80:OLP-0031:problem:007","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":319,"sha256":"89deae73b9ac3e4548c0c30910b80f38bb9992f9cbcadb2962040026aef9960f"},"byte_end_exclusive":4296,"byte_start":3977,"end_line":104,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":7,"start_line":99},"target_file":{"bytes":4594,"sha256":"d7aea9647ae10becb86d5651c7c9ba55ecdbe6720adc38c020134ac4facb830e"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/pairing.tex"},"number":"4.14","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Fungsi Pemasangan dan Kode","solution_state":"not_audited","source_problem_id":"c80:OLP-0031:problem:007","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0031"},{"chapter":"main:4","component":"main","id":"c80:OLP-0031:problem:008:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:pai:sec","canonical_section_value":["4.4","59","Fungsi Pemasangan dan Kode","section*.340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.429","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0031","observed_import_path":"content/sets-functions-relations/size-of-sets/pairing.tex","occurrence_id":"c80:OLP-0031:problem:008:main-fol","printed_number":"4.15","source":{"block":{"bytes":159,"sha256":"34a2e81e143a5b259c8b5a7702be8c696cc813e0ff096de7adcd12194fc112c0"},"byte_end_exclusive":4080,"byte_start":3921,"end_line":109,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":8,"start_line":106},"source_file":{"bytes":4171,"sha256":"345a39184e28af727e378d5b5883b5e7d2e1c27cd729329376d19426ddaed484"},"source_occurrence_order":39,"source_path":"content/sets-functions-relations/size-of-sets/pairing.tex","source_problem_id":"c80:OLP-0031:problem:008","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":206,"sha256":"cf00ce61d29f04915f9b42945abb57740a01c42248b5041f82e92d958741144d"},"byte_end_exclusive":4504,"byte_start":4298,"end_line":110,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":8,"start_line":106},"target_file":{"bytes":4594,"sha256":"d7aea9647ae10becb86d5651c7c9ba55ecdbe6720adc38c020134ac4facb830e"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/pairing.tex"},"number":"4.15","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Fungsi Pemasangan dan Kode","solution_state":"not_audited","source_problem_id":"c80:OLP-0031:problem:008","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0031"},{"chapter":"main:4","component":"main","id":"c80:OLP-0031:problem:009:main-fol","local_reader_url":"reader.pdf#page=86","mapping":{"canonical_section_label":"sfr:siz:pai:sec","canonical_section_value":["4.4","59","Fungsi Pemasangan dan Kode","section*.340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","combined_page":86,"destination":"probd*.431","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0031","observed_import_path":"content/sets-functions-relations/size-of-sets/pairing.tex","occurrence_id":"c80:OLP-0031:problem:009:main-fol","printed_number":"4.16","source":{"block":{"bytes":67,"sha256":"f95d2247ec273ad92b5ba05be6f051b58badceb1d9fa6352a74f82f9a0ee26aa"},"byte_end_exclusive":4151,"byte_start":4084,"end_line":113,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":9,"start_line":111},"source_file":{"bytes":4171,"sha256":"345a39184e28af727e378d5b5883b5e7d2e1c27cd729329376d19426ddaed484"},"source_occurrence_order":40,"source_path":"content/sets-functions-relations/size-of-sets/pairing.tex","source_problem_id":"c80:OLP-0031:problem:009","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":71,"sha256":"664f2067e03d5ef2360dd9f4c27d6df262e86bcee0c987efda7f19694412e62d"},"byte_end_exclusive":4577,"byte_start":4506,"end_line":114,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":9,"start_line":112},"target_file":{"bytes":4594,"sha256":"d7aea9647ae10becb86d5651c7c9ba55ecdbe6720adc38c020134ac4facb830e"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/pairing.tex"},"number":"4.16","physical_page":86,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=86","section_title_id":"Fungsi Pemasangan dan Kode","solution_state":"not_audited","source_problem_id":"c80:OLP-0031:problem:009","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0031"},{"chapter":"main:4","component":"main","id":"c80:OLP-0033:problem:001:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:nen:sec","canonical_section_value":["4.6","61","Himpunan \\printtoken {S}{nonenumerable}","section*.348",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.433","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0033","observed_import_path":"content/sets-functions-relations/size-of-sets/non-enumerability.tex","occurrence_id":"c80:OLP-0033:problem:001:main-fol","printed_number":"4.17","source":{"block":{"bytes":93,"sha256":"b46928e12cf8131f9e3ab528d50ff9eae6a85a334612faa333d7b11ad1ec5b25"},"byte_end_exclusive":9023,"byte_start":8930,"end_line":204,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":202},"source_file":{"bytes":9412,"sha256":"a272a841f8c50bda6589aac40278b9bff7f8a1f5284730c7195423b09ac3ba2e"},"source_occurrence_order":41,"source_path":"content/sets-functions-relations/size-of-sets/non-enumerability.tex","source_problem_id":"c80:OLP-0033:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":107,"sha256":"f04aba463fa57b6025ee2b3ae6a17d9088c92a105a74503d812f67e539f5ee29"},"byte_end_exclusive":9991,"byte_start":9884,"end_line":208,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":205},"target_file":{"bytes":10413,"sha256":"ccc4057685093e27c2d08028a06b5c117882ed32be5f1a6f858a62d34bd390ea"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/non-enumerability.tex"},"number":"4.17","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Himpunan Takterhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0033:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0033"},{"chapter":"main:4","component":"main","id":"c80:OLP-0033:problem:002:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:nen:sec","canonical_section_value":["4.6","61","Himpunan \\printtoken {S}{nonenumerable}","section*.348",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.435","exact_problem_labels":["sfr:siz:nen:prob:f-posint"],"fol_context":true,"native_unit_id":"OLP-0033","observed_import_path":"content/sets-functions-relations/size-of-sets/non-enumerability.tex","occurrence_id":"c80:OLP-0033:problem:002:main-fol","printed_number":"4.18","source":{"block":{"bytes":365,"sha256":"73411d80757cf5fd05ae196981c2a18f2c7ba35c556dedb0100ee0bc48c25cc0"},"byte_end_exclusive":9392,"byte_start":9027,"end_line":212,"environment":"prob","environments":[],"labels":[],"literal_labels":["sfr:siz:nen:prob:f-posint"],"ordinal":2,"start_line":206},"source_file":{"bytes":9412,"sha256":"a272a841f8c50bda6589aac40278b9bff7f8a1f5284730c7195423b09ac3ba2e"},"source_occurrence_order":42,"source_path":"content/sets-functions-relations/size-of-sets/non-enumerability.tex","source_problem_id":"c80:OLP-0033:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":403,"sha256":"08ae49a3be5fada117494bb7b48f7af6871d1801962a02ad490df697e5d229c3"},"byte_end_exclusive":10396,"byte_start":9993,"end_line":216,"environment":"prob","environments":[],"labels":[],"literal_labels":["sfr:siz:nen:prob:f-posint"],"ordinal":2,"start_line":210},"target_file":{"bytes":10413,"sha256":"ccc4057685093e27c2d08028a06b5c117882ed32be5f1a6f858a62d34bd390ea"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/non-enumerability.tex"},"number":"4.18","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Himpunan Takterhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0033:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0033"},{"chapter":"main:4","component":"main","id":"c80:OLP-0034:problem:001:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:red:sec","canonical_section_value":["4.7","64","Reduksi","section*.355",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.437","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0034","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction.tex","occurrence_id":"c80:OLP-0034:problem:001:main-fol","printed_number":"4.19","source":{"block":{"bytes":226,"sha256":"b7c73c8838962602485bc0d6b061b4275a15cc4ac57e5ff8dcbfcfcefba7238e"},"byte_end_exclusive":1942,"byte_start":1716,"end_line":45,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":41},"source_file":{"bytes":5678,"sha256":"33f0cbb35c8c1fa3ff0e4f44fa626fdc298d1c4612aeaafb41bcb920e5d18ac8"},"source_occurrence_order":43,"source_path":"content/sets-functions-relations/size-of-sets/reduction.tex","source_problem_id":"c80:OLP-0034:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":260,"sha256":"f7bb3989137245b44d6e397eef5614c7e643f91b04983c786ed6cad4391e7d9c"},"byte_end_exclusive":2072,"byte_start":1812,"end_line":46,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":41},"target_file":{"bytes":5921,"sha256":"555fbda106c70b8dee471c63556f8fa9103638db219b103494ba9838e43a9cab"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction.tex"},"number":"4.19","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0034:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0034"},{"chapter":"main:4","component":"main","id":"c80:OLP-0034:problem:002:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:red:sec","canonical_section_value":["4.7","64","Reduksi","section*.355",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.439","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0034","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction.tex","occurrence_id":"c80:OLP-0034:problem:002:main-fol","printed_number":"4.20","source":{"block":{"bytes":139,"sha256":"d36db833017e9e7d40d7ffd70b6df9ef00bf8636d145a0fbbe0adc24b5d00419"},"byte_end_exclusive":4580,"byte_start":4441,"end_line":106,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":103},"source_file":{"bytes":5678,"sha256":"33f0cbb35c8c1fa3ff0e4f44fa626fdc298d1c4612aeaafb41bcb920e5d18ac8"},"source_occurrence_order":44,"source_path":"content/sets-functions-relations/size-of-sets/reduction.tex","source_problem_id":"c80:OLP-0034:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":156,"sha256":"9f7908969462681505ee689cb5dfc60dc191867f531a400a68b4b9258a67e7fe"},"byte_end_exclusive":4761,"byte_start":4605,"end_line":105,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":102},"target_file":{"bytes":5921,"sha256":"555fbda106c70b8dee471c63556f8fa9103638db219b103494ba9838e43a9cab"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction.tex"},"number":"4.20","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0034:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0034"},{"chapter":"main:4","component":"main","id":"c80:OLP-0034:problem:003:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:red:sec","canonical_section_value":["4.7","64","Reduksi","section*.355",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.441","exact_problem_labels":["sfr:siz:red:prob:nat-nat"],"fol_context":true,"native_unit_id":"OLP-0034","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction.tex","occurrence_id":"c80:OLP-0034:problem:003:main-fol","printed_number":"4.21","source":{"block":{"bytes":235,"sha256":"8bfec7d7fa8a0110c292ab6eb4f18121e44e000591f107156f31dd62ebdc7724"},"byte_end_exclusive":4819,"byte_start":4584,"end_line":112,"environment":"prob","environments":[],"labels":[],"literal_labels":["sfr:siz:red:prob:nat-nat"],"ordinal":3,"start_line":108},"source_file":{"bytes":5678,"sha256":"33f0cbb35c8c1fa3ff0e4f44fa626fdc298d1c4612aeaafb41bcb920e5d18ac8"},"source_occurrence_order":45,"source_path":"content/sets-functions-relations/size-of-sets/reduction.tex","source_problem_id":"c80:OLP-0034:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":244,"sha256":"b4c4d6dc12298af37dbd74f09cd4ad94d1428f6548740544f70a809aa959fb18"},"byte_end_exclusive":5007,"byte_start":4763,"end_line":111,"environment":"prob","environments":[],"labels":[],"literal_labels":["sfr:siz:red:prob:nat-nat"],"ordinal":3,"start_line":107},"target_file":{"bytes":5921,"sha256":"555fbda106c70b8dee471c63556f8fa9103638db219b103494ba9838e43a9cab"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction.tex"},"number":"4.21","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0034:problem:003","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0034"},{"chapter":"main:4","component":"main","id":"c80:OLP-0034:problem:004:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:red:sec","canonical_section_value":["4.7","64","Reduksi","section*.355",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.443","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0034","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction.tex","occurrence_id":"c80:OLP-0034:problem:004:main-fol","printed_number":"4.22","source":{"block":{"bytes":147,"sha256":"7c35b3b4bdccbe6dec946fc30f5cdaf561f4a0dad27b6a092e6b8b2230ada59c"},"byte_end_exclusive":4970,"byte_start":4823,"end_line":117,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":114},"source_file":{"bytes":5678,"sha256":"33f0cbb35c8c1fa3ff0e4f44fa626fdc298d1c4612aeaafb41bcb920e5d18ac8"},"source_occurrence_order":46,"source_path":"content/sets-functions-relations/size-of-sets/reduction.tex","source_problem_id":"c80:OLP-0034:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":146,"sha256":"0600b17c622a5403600308894cbc75791a9cba31b3ec7a35a2483fdbc85d368b"},"byte_end_exclusive":5155,"byte_start":5009,"end_line":116,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":113},"target_file":{"bytes":5921,"sha256":"555fbda106c70b8dee471c63556f8fa9103638db219b103494ba9838e43a9cab"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction.tex"},"number":"4.22","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0034:problem:004","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0034"},{"chapter":"main:4","component":"main","id":"c80:OLP-0034:problem:005:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:red:sec","canonical_section_value":["4.7","64","Reduksi","section*.355",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.445","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0034","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction.tex","occurrence_id":"c80:OLP-0034:problem:005:main-fol","printed_number":"4.23","source":{"block":{"bytes":344,"sha256":"b956619e5b9d8eb9a21b2fbb27ee795a6a7518e58783205e2839be1c61f1febc"},"byte_end_exclusive":5318,"byte_start":4974,"end_line":125,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":119},"source_file":{"bytes":5678,"sha256":"33f0cbb35c8c1fa3ff0e4f44fa626fdc298d1c4612aeaafb41bcb920e5d18ac8"},"source_occurrence_order":47,"source_path":"content/sets-functions-relations/size-of-sets/reduction.tex","source_problem_id":"c80:OLP-0034:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":373,"sha256":"a7e5b622574ad169cda02e79f2d71fa690397705238f337fc03a72b1ee8aa3b1"},"byte_end_exclusive":5530,"byte_start":5157,"end_line":124,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":118},"target_file":{"bytes":5921,"sha256":"555fbda106c70b8dee471c63556f8fa9103638db219b103494ba9838e43a9cab"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction.tex"},"number":"4.23","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0034:problem:005","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0034"},{"chapter":"main:4","component":"main","id":"c80:OLP-0034:problem:006:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:red:sec","canonical_section_value":["4.7","64","Reduksi","section*.355",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.447","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0034","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction.tex","occurrence_id":"c80:OLP-0034:problem:006:main-fol","printed_number":"4.24","source":{"block":{"bytes":239,"sha256":"678e2230deb90efa680a21e904d225f3c31bbfcf38a4a4a56bcfa72d6547713c"},"byte_end_exclusive":5561,"byte_start":5322,"end_line":132,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":6,"start_line":127},"source_file":{"bytes":5678,"sha256":"33f0cbb35c8c1fa3ff0e4f44fa626fdc298d1c4612aeaafb41bcb920e5d18ac8"},"source_occurrence_order":48,"source_path":"content/sets-functions-relations/size-of-sets/reduction.tex","source_problem_id":"c80:OLP-0034:problem:006","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":263,"sha256":"f8f6d6ec89e4706dae2140612a74b5414491729f04b687a2303222eece180391"},"byte_end_exclusive":5795,"byte_start":5532,"end_line":131,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":6,"start_line":126},"target_file":{"bytes":5921,"sha256":"555fbda106c70b8dee471c63556f8fa9103638db219b103494ba9838e43a9cab"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction.tex"},"number":"4.24","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0034:problem:006","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0034"},{"chapter":"main:4","component":"main","id":"c80:OLP-0034:problem:007:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:red:sec","canonical_section_value":["4.7","64","Reduksi","section*.355",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.449","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0034","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction.tex","occurrence_id":"c80:OLP-0034:problem:007:main-fol","printed_number":"4.25","source":{"block":{"bytes":93,"sha256":"d7f4a5dcc599c3260aa0e197275c4e03111a610c94ac1efc18e70f843cd15ec6"},"byte_end_exclusive":5658,"byte_start":5565,"end_line":136,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":7,"start_line":134},"source_file":{"bytes":5678,"sha256":"33f0cbb35c8c1fa3ff0e4f44fa626fdc298d1c4612aeaafb41bcb920e5d18ac8"},"source_occurrence_order":49,"source_path":"content/sets-functions-relations/size-of-sets/reduction.tex","source_problem_id":"c80:OLP-0034:problem:007","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":107,"sha256":"156a249a0d231a8d5641943cd8cdfa478364f9362bbf7622bffaf2dc53bacf8e"},"byte_end_exclusive":5904,"byte_start":5797,"end_line":136,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":7,"start_line":133},"target_file":{"bytes":5921,"sha256":"555fbda106c70b8dee471c63556f8fa9103638db219b103494ba9838e43a9cab"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction.tex"},"number":"4.25","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0034:problem:007","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0034"},{"chapter":"main:4","component":"main","id":"c80:OLP-0035:problem:001:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:equ:sec","canonical_section_value":["4.8","65","Kesamaan Kardinalitas","section*.357",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.451","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0035","observed_import_path":"content/sets-functions-relations/size-of-sets/equinumerous-sets.tex","occurrence_id":"c80:OLP-0035:problem:001:main-fol","printed_number":"4.26","source":{"block":{"bytes":151,"sha256":"d318ab8ef020d46275ac6727f5eee44841098b406ba66512237108ddf529c9bd"},"byte_end_exclusive":4128,"byte_start":3977,"end_line":104,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":101},"source_file":{"bytes":4252,"sha256":"7b0444e3293b300b72b7a6d49638913a778f5131fd94650dd64a5f11040c91f2"},"source_occurrence_order":50,"source_path":"content/sets-functions-relations/size-of-sets/equinumerous-sets.tex","source_problem_id":"c80:OLP-0035:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":158,"sha256":"66eed5fd6eb3e9915739236a1d9b77090a77cd82c5925d28434680a8bdfa1315"},"byte_end_exclusive":4328,"byte_start":4170,"end_line":100,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":97},"target_file":{"bytes":4451,"sha256":"467fa6243836abe5b0f69b5213ddcdd10cdc30084610c31d4c57fad36045b46f"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/equinumerous-sets.tex"},"number":"4.26","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Kesamaan Kardinalitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0035:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0035"},{"chapter":"main:4","component":"main","id":"c80:OLP-0035:problem:002:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:equ:sec","canonical_section_value":["4.8","65","Kesamaan Kardinalitas","section*.357",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.453","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0035","observed_import_path":"content/sets-functions-relations/size-of-sets/equinumerous-sets.tex","occurrence_id":"c80:OLP-0035:problem:002:main-fol","printed_number":"4.27","source":{"block":{"bytes":100,"sha256":"8a217def58ef21af6014fa752fd7dc11ed6a434fbfefd43d5a8b7333ca8d0245"},"byte_end_exclusive":4232,"byte_start":4132,"end_line":109,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":106},"source_file":{"bytes":4252,"sha256":"7b0444e3293b300b72b7a6d49638913a778f5131fd94650dd64a5f11040c91f2"},"source_occurrence_order":51,"source_path":"content/sets-functions-relations/size-of-sets/equinumerous-sets.tex","source_problem_id":"c80:OLP-0035:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":104,"sha256":"0c15f2195906b92e39c42a2f6e57f783bcc0d38d3bebed2f49845ce3d18135e3"},"byte_end_exclusive":4434,"byte_start":4330,"end_line":105,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":102},"target_file":{"bytes":4451,"sha256":"467fa6243836abe5b0f69b5213ddcdd10cdc30084610c31d4c57fad36045b46f"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/equinumerous-sets.tex"},"number":"4.27","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Kesamaan Kardinalitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0035:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0035"},{"chapter":"main:4","component":"main","id":"c80:OLP-0036:problem:001:main-fol","local_reader_url":"reader.pdf#page=87","mapping":{"canonical_section_label":"sfr:siz:car:sec","canonical_section_value":["4.9","66","Himpunan dengan Ukuran Berbeda dan Teorema Cantor","section*.366",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","combined_page":87,"destination":"probd*.455","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0036","observed_import_path":"content/sets-functions-relations/size-of-sets/comparing-size.tex","occurrence_id":"c80:OLP-0036:problem:001:main-fol","printed_number":"4.28","source":{"block":{"bytes":333,"sha256":"5cc4146e5e45dc9b2b3d9996289669eecd1db9af6fa4737b3a8eed1e59140e72"},"byte_end_exclusive":6807,"byte_start":6474,"end_line":148,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":142},"source_file":{"bytes":6827,"sha256":"cb92c7e6df9529ced700d708ad8c6efda9a0d8c3f8e69d08bcb4d614c6f5041b"},"source_occurrence_order":52,"source_path":"content/sets-functions-relations/size-of-sets/comparing-size.tex","source_problem_id":"c80:OLP-0036:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":355,"sha256":"945d493521197c87dbde329ba9444afacb4a2860b1f75c5108ce4b90b273a7fb"},"byte_end_exclusive":7618,"byte_start":7263,"end_line":153,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":147},"target_file":{"bytes":7635,"sha256":"b3e812ee60fde9610bac160a4ba9404f21e659b5bc5d1b74e1468669d6d11529"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/comparing-size.tex"},"number":"4.28","physical_page":87,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=87","section_title_id":"Himpunan dengan Ukuran Berbeda dan Teorema Cantor","solution_state":"not_audited","source_problem_id":"c80:OLP-0036:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0036"},{"chapter":"main:4","component":"main","id":"c80:OLP-0038:problem:001:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:enm-alt:sec","canonical_section_value":["4.11","68","Enumerasi dan Himpunan \\usetoken {S}{enumerable}","section*.378",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.457","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0038","observed_import_path":"content/sets-functions-relations/size-of-sets/enumerability-alt.tex","occurrence_id":"c80:OLP-0038:problem:001:main-fol","printed_number":"4.29","source":{"block":{"bytes":225,"sha256":"e7a66eb13cc1dd1d5abadbff5e0c740ac7dc48b6448b6d9538f9ef5e79fb2db4"},"byte_end_exclusive":3173,"byte_start":2948,"end_line":81,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":77},"source_file":{"bytes":4883,"sha256":"8ad8d8941a5ca6d1b4cd2cc351fc16a912d00273783c0358838dd4fa51fb4627"},"source_occurrence_order":53,"source_path":"content/sets-functions-relations/size-of-sets/enumerability-alt.tex","source_problem_id":"c80:OLP-0038:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":276,"sha256":"f0741a7a1111028b0d0b7bec8e2903ada8e3f3aa7efe7530c2e77ebfe2013741"},"byte_end_exclusive":3567,"byte_start":3291,"end_line":83,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":78},"target_file":{"bytes":5407,"sha256":"546cb899f390683054552eea1a5b5fcea2066cb08aac57ded28072d5484d3781"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/enumerability-alt.tex"},"number":"4.29","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Enumerasi dan Himpunan Terhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0038:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0038"},{"chapter":"main:4","component":"main","id":"c80:OLP-0038:problem:002:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:enm-alt:sec","canonical_section_value":["4.11","68","Enumerasi dan Himpunan \\usetoken {S}{enumerable}","section*.378",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.459","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0038","observed_import_path":"content/sets-functions-relations/size-of-sets/enumerability-alt.tex","occurrence_id":"c80:OLP-0038:problem:002:main-fol","printed_number":"4.30","source":{"block":{"bytes":96,"sha256":"643512dcfd146a0a1c9ea09101709e3fc3c0347c2b609026d0ffca7c8d77853a"},"byte_end_exclusive":3602,"byte_start":3506,"end_line":97,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":95},"source_file":{"bytes":4883,"sha256":"8ad8d8941a5ca6d1b4cd2cc351fc16a912d00273783c0358838dd4fa51fb4627"},"source_occurrence_order":54,"source_path":"content/sets-functions-relations/size-of-sets/enumerability-alt.tex","source_problem_id":"c80:OLP-0038:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":100,"sha256":"83d1208bfe10f72acf3d7bd15e3ca5861d48a11e75fb4cd766c804582ed7f846"},"byte_end_exclusive":4011,"byte_start":3911,"end_line":99,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":97},"target_file":{"bytes":5407,"sha256":"546cb899f390683054552eea1a5b5fcea2066cb08aac57ded28072d5484d3781"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/enumerability-alt.tex"},"number":"4.30","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Enumerasi dan Himpunan Terhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0038:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0038"},{"chapter":"main:4","component":"main","id":"c80:OLP-0038:problem:003:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:enm-alt:sec","canonical_section_value":["4.11","68","Enumerasi dan Himpunan \\usetoken {S}{enumerable}","section*.378",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.461","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0038","observed_import_path":"content/sets-functions-relations/size-of-sets/enumerability-alt.tex","occurrence_id":"c80:OLP-0038:problem:003:main-fol","printed_number":"4.31","source":{"block":{"bytes":88,"sha256":"f80a301ae1b949e76e2f0000ab708642c53ad9c92af41e1785eb80c4d0f6264e"},"byte_end_exclusive":4718,"byte_start":4630,"end_line":128,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":126},"source_file":{"bytes":4883,"sha256":"8ad8d8941a5ca6d1b4cd2cc351fc16a912d00273783c0358838dd4fa51fb4627"},"source_occurrence_order":55,"source_path":"content/sets-functions-relations/size-of-sets/enumerability-alt.tex","source_problem_id":"c80:OLP-0038:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":110,"sha256":"0d1fddec6f736d9e9a340de5cc365b947d3c1045f788f265c87775722ae49314"},"byte_end_exclusive":5222,"byte_start":5112,"end_line":130,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":127},"target_file":{"bytes":5407,"sha256":"546cb899f390683054552eea1a5b5fcea2066cb08aac57ded28072d5484d3781"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/enumerability-alt.tex"},"number":"4.31","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Enumerasi dan Himpunan Terhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0038:problem:003","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0038"},{"chapter":"main:4","component":"main","id":"c80:OLP-0038:problem:004:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:enm-alt:sec","canonical_section_value":["4.11","68","Enumerasi dan Himpunan \\usetoken {S}{enumerable}","section*.378",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.463","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0038","observed_import_path":"content/sets-functions-relations/size-of-sets/enumerability-alt.tex","occurrence_id":"c80:OLP-0038:problem:004:main-fol","printed_number":"4.32","source":{"block":{"bytes":143,"sha256":"eecb9458bdb22bbe7fa246377f4fa2d709b2b447ca9ff7c249c62b9a76a2f3fe"},"byte_end_exclusive":4865,"byte_start":4722,"end_line":133,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":130},"source_file":{"bytes":4883,"sha256":"8ad8d8941a5ca6d1b4cd2cc351fc16a912d00273783c0358838dd4fa51fb4627"},"source_occurrence_order":56,"source_path":"content/sets-functions-relations/size-of-sets/enumerability-alt.tex","source_problem_id":"c80:OLP-0038:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":166,"sha256":"cb38d3188ff1950d12ff75c6a2cc5b867d6f1f78974b877c4120d8c50b5a167d"},"byte_end_exclusive":5390,"byte_start":5224,"end_line":135,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":132},"target_file":{"bytes":5407,"sha256":"546cb899f390683054552eea1a5b5fcea2066cb08aac57ded28072d5484d3781"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/enumerability-alt.tex"},"number":"4.32","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Enumerasi dan Himpunan Terhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0038:problem:004","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0038"},{"chapter":"main:4","component":"main","id":"c80:OLP-0039:problem:001:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:nen-alt:sec","canonical_section_value":["4.12","70","Himpunan \\printtoken {S}{nonenumerable}","section*.390",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.465","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0039","observed_import_path":"content/sets-functions-relations/size-of-sets/non-enumerability-alt.tex","occurrence_id":"c80:OLP-0039:problem:001:main-fol","printed_number":"4.33","source":{"block":{"bytes":308,"sha256":"f22ce0209c27f62e00c0a7ecc596f12906272e632abaf6a36fe0c03c10d86be4"},"byte_end_exclusive":6717,"byte_start":6409,"end_line":160,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":154},"source_file":{"bytes":6735,"sha256":"0c20a2c420fbf4dbd801bb97e37799b3c602ae33ef2b1dc85ff94e24208ca2bb"},"source_occurrence_order":57,"source_path":"content/sets-functions-relations/size-of-sets/non-enumerability-alt.tex","source_problem_id":"c80:OLP-0039:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":348,"sha256":"10d57616dcbf18602c5d4edadbbc90e64ac3d47060771c2f03b84609bc1a6521"},"byte_end_exclusive":7410,"byte_start":7062,"end_line":161,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":155},"target_file":{"bytes":7427,"sha256":"d12c78053dcba2fb7dae7fee0612e91f3ce2b4f90b81f7032d4900d0a0eb23d2"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/non-enumerability-alt.tex"},"number":"4.33","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Himpunan Takterhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0039:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0039"},{"chapter":"main:4","component":"main","id":"c80:OLP-0040:problem:001:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:red-alt:sec","canonical_section_value":["4.13","71","Reduksi","section*.397",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.467","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0040","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","occurrence_id":"c80:OLP-0040:problem:001:main-fol","printed_number":"4.34","source":{"block":{"bytes":226,"sha256":"b7c73c8838962602485bc0d6b061b4275a15cc4ac57e5ff8dcbfcfcefba7238e"},"byte_end_exclusive":1899,"byte_start":1673,"end_line":46,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":42},"source_file":{"bytes":5639,"sha256":"46381b85c0e9a1ab48cb9301518de91f073d649c3b1119325c1409f5a6c1d663"},"source_occurrence_order":58,"source_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","source_problem_id":"c80:OLP-0040:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":260,"sha256":"f7bb3989137245b44d6e397eef5614c7e643f91b04983c786ed6cad4391e7d9c"},"byte_end_exclusive":2013,"byte_start":1753,"end_line":46,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":41},"target_file":{"bytes":5833,"sha256":"de945bf5b1abd68f93d1d0309edd61a284cd456296ca7962068148862d01598b"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction-alt.tex"},"number":"4.34","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0040:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0040"},{"chapter":"main:4","component":"main","id":"c80:OLP-0040:problem:002:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:red-alt:sec","canonical_section_value":["4.13","71","Reduksi","section*.397",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.469","exact_problem_labels":["sfr:siz:red-alt:prob:nat-nat"],"fol_context":true,"native_unit_id":"OLP-0040","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","occurrence_id":"c80:OLP-0040:problem:002:main-fol","printed_number":"4.35","source":{"block":{"bytes":235,"sha256":"8bfec7d7fa8a0110c292ab6eb4f18121e44e000591f107156f31dd62ebdc7724"},"byte_end_exclusive":4655,"byte_start":4420,"end_line":110,"environment":"prob","environments":[],"labels":[],"literal_labels":["sfr:siz:red:prob:nat-nat"],"ordinal":2,"start_line":106},"source_file":{"bytes":5639,"sha256":"46381b85c0e9a1ab48cb9301518de91f073d649c3b1119325c1409f5a6c1d663"},"source_occurrence_order":59,"source_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","source_problem_id":"c80:OLP-0040:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":248,"sha256":"bc1f23176b93a3770ccf0b1bee4e7e843923525b9d8c11a7a61d651794cd928e"},"byte_end_exclusive":4793,"byte_start":4545,"end_line":107,"environment":"prob","environments":[],"labels":[],"literal_labels":["sfr:siz:red-alt:prob:nat-nat"],"ordinal":2,"start_line":103},"target_file":{"bytes":5833,"sha256":"de945bf5b1abd68f93d1d0309edd61a284cd456296ca7962068148862d01598b"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction-alt.tex"},"number":"4.35","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0040:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0040"},{"chapter":"main:4","component":"main","id":"c80:OLP-0040:problem:003:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:red-alt:sec","canonical_section_value":["4.13","71","Reduksi","section*.397",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.471","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0040","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","occurrence_id":"c80:OLP-0040:problem:003:main-fol","printed_number":"4.36","source":{"block":{"bytes":171,"sha256":"31f0106cfd98a9a4e110e9e455612ee7f8839de6e540ee81b05f4b384a6c9e45"},"byte_end_exclusive":4830,"byte_start":4659,"end_line":116,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":112},"source_file":{"bytes":5639,"sha256":"46381b85c0e9a1ab48cb9301518de91f073d649c3b1119325c1409f5a6c1d663"},"source_occurrence_order":60,"source_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","source_problem_id":"c80:OLP-0040:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":180,"sha256":"ccf9215204b0820fcd5c83d9d099108bb2b5f0c14bd027a4b0c0671bc49194e6"},"byte_end_exclusive":4975,"byte_start":4795,"end_line":113,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":109},"target_file":{"bytes":5833,"sha256":"de945bf5b1abd68f93d1d0309edd61a284cd456296ca7962068148862d01598b"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction-alt.tex"},"number":"4.36","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0040:problem:003","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0040"},{"chapter":"main:4","component":"main","id":"c80:OLP-0040:problem:004:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:red-alt:sec","canonical_section_value":["4.13","71","Reduksi","section*.397",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.473","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0040","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","occurrence_id":"c80:OLP-0040:problem:004:main-fol","printed_number":"4.37","source":{"block":{"bytes":147,"sha256":"3761a534db68d496c670f3d4a630639e2bcef1f6f1a74b6379b9d07fb0ccbf7c"},"byte_end_exclusive":4981,"byte_start":4834,"end_line":121,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":118},"source_file":{"bytes":5639,"sha256":"46381b85c0e9a1ab48cb9301518de91f073d649c3b1119325c1409f5a6c1d663"},"source_occurrence_order":61,"source_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","source_problem_id":"c80:OLP-0040:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":146,"sha256":"0600b17c622a5403600308894cbc75791a9cba31b3ec7a35a2483fdbc85d368b"},"byte_end_exclusive":5123,"byte_start":4977,"end_line":118,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":115},"target_file":{"bytes":5833,"sha256":"de945bf5b1abd68f93d1d0309edd61a284cd456296ca7962068148862d01598b"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction-alt.tex"},"number":"4.37","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0040:problem:004","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0040"},{"chapter":"main:4","component":"main","id":"c80:OLP-0040:problem:005:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:red-alt:sec","canonical_section_value":["4.13","71","Reduksi","section*.397",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.475","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0040","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","occurrence_id":"c80:OLP-0040:problem:005:main-fol","printed_number":"4.38","source":{"block":{"bytes":208,"sha256":"7a24cab077f549ba5242440d54c39a0eb698d65218e3211b1221801d3f009157"},"byte_end_exclusive":5524,"byte_start":5316,"end_line":134,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":130},"source_file":{"bytes":5639,"sha256":"46381b85c0e9a1ab48cb9301518de91f073d649c3b1119325c1409f5a6c1d663"},"source_occurrence_order":62,"source_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","source_problem_id":"c80:OLP-0040:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":226,"sha256":"fa593f4a9e3826cf8f8870e99db569ea42080c03446e235bd59d1274f0bca303"},"byte_end_exclusive":5707,"byte_start":5481,"end_line":131,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":127},"target_file":{"bytes":5833,"sha256":"de945bf5b1abd68f93d1d0309edd61a284cd456296ca7962068148862d01598b"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction-alt.tex"},"number":"4.38","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0040:problem:005","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0040"},{"chapter":"main:4","component":"main","id":"c80:OLP-0040:problem:006:main-fol","local_reader_url":"reader.pdf#page=88","mapping":{"canonical_section_label":"sfr:siz:red-alt:sec","canonical_section_value":["4.13","71","Reduksi","section*.397",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","combined_page":88,"destination":"probd*.477","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0040","observed_import_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","occurrence_id":"c80:OLP-0040:problem:006:main-fol","printed_number":"4.39","source":{"block":{"bytes":93,"sha256":"d7f4a5dcc599c3260aa0e197275c4e03111a610c94ac1efc18e70f843cd15ec6"},"byte_end_exclusive":5621,"byte_start":5528,"end_line":138,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":6,"start_line":136},"source_file":{"bytes":5639,"sha256":"46381b85c0e9a1ab48cb9301518de91f073d649c3b1119325c1409f5a6c1d663"},"source_occurrence_order":63,"source_path":"content/sets-functions-relations/size-of-sets/reduction-alt.tex","source_problem_id":"c80:OLP-0040:problem:006","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":107,"sha256":"156a249a0d231a8d5641943cd8cdfa478364f9362bbf7622bffaf2dc53bacf8e"},"byte_end_exclusive":5816,"byte_start":5709,"end_line":136,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":6,"start_line":133},"target_file":{"bytes":5833,"sha256":"de945bf5b1abd68f93d1d0309edd61a284cd456296ca7962068148862d01598b"},"target_path":"locale/id/content/sets-functions-relations/size-of-sets/reduction-alt.tex"},"number":"4.39","physical_page":88,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=88","section_title_id":"Reduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0040:problem:006","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0040"},{"chapter":"main:5","component":"main","id":"c80:OLP-0042:problem:001:main-fol","local_reader_url":"reader.pdf#page=105","mapping":{"canonical_section_label":"sfr:arith:int:sec","canonical_section_value":["5.1","76","Dari $\\Nat $ ke $\\Int $","section*.479",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=105","combined_page":105,"destination":"probd*.540","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0042","observed_import_path":"content/sets-functions-relations/arithmetization/integers.tex","occurrence_id":"c80:OLP-0042:problem:001:main-fol","printed_number":"5.1","source":{"block":{"bytes":135,"sha256":"5208797d27cac50c517cb48642662e796b5903aef2d06d2c563fa46dd7daa4a5"},"byte_end_exclusive":5554,"byte_start":5419,"end_line":87,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":85},"source_file":{"bytes":5572,"sha256":"f93b142146b9527128437355d7e3922204eede2ca9c75a941d3c09a9a848ce77"},"source_occurrence_order":64,"source_path":"content/sets-functions-relations/arithmetization/integers.tex","source_problem_id":"c80:OLP-0042:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":147,"sha256":"2260d406ac527bc8f13dd3ca590bbe7da5faf71d68b9b28c33bd9ac03d594939"},"byte_end_exclusive":5869,"byte_start":5722,"end_line":87,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":85},"target_file":{"bytes":5886,"sha256":"d7693cd791af2712b452dcc5ed0a644b393696a8de7073d2f5b45864f2459843"},"target_path":"locale/id/content/sets-functions-relations/arithmetization/integers.tex"},"number":"5.1","physical_page":105,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=105","section_title_id":"Dari N ke Z","solution_state":"not_audited","source_problem_id":"c80:OLP-0042:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0042"},{"chapter":"main:5","component":"main","id":"c80:OLP-0043:problem:001:main-fol","local_reader_url":"reader.pdf#page=105","mapping":{"canonical_section_label":"sfr:arith:rat:sec","canonical_section_value":["5.2","78","Dari $\\Int $ ke $\\Rat $","section*.488",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=105","combined_page":105,"destination":"probd*.542","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0043","observed_import_path":"content/sets-functions-relations/arithmetization/rationals.tex","occurrence_id":"c80:OLP-0043:problem:001:main-fol","printed_number":"5.2","source":{"block":{"bytes":75,"sha256":"b5e38722e8d7c0298ddece92e1fd10bd17bc45f73bc8774f0dab9d48cd036c03"},"byte_end_exclusive":1560,"byte_start":1485,"end_line":39,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":37},"source_file":{"bytes":3255,"sha256":"7140495368042fcbc55907e6ee568c5bc8b7066e44a01a50cbf4202acebe71d2"},"source_occurrence_order":65,"source_path":"content/sets-functions-relations/arithmetization/rationals.tex","source_problem_id":"c80:OLP-0043:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":81,"sha256":"78c06039513d50a873c2beb9550143f3c36fb3c6e96de4a4d9c9b9cd38f817d1"},"byte_end_exclusive":1708,"byte_start":1627,"end_line":39,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":37},"target_file":{"bytes":3666,"sha256":"772b9a8ee465529c37bf9149f2ed17d23a1f1e4a0f87dfdfae741e12f71d6340"},"target_path":"locale/id/content/sets-functions-relations/arithmetization/rationals.tex"},"number":"5.2","physical_page":105,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=105","section_title_id":"Dari Z ke Q","solution_state":"not_audited","source_problem_id":"c80:OLP-0043:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0043"},{"chapter":"main:5","component":"main","id":"c80:OLP-0043:problem:002:main-fol","local_reader_url":"reader.pdf#page=105","mapping":{"canonical_section_label":"sfr:arith:rat:sec","canonical_section_value":["5.2","78","Dari $\\Int $ ke $\\Rat $","section*.488",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=105","combined_page":105,"destination":"probd*.544","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0043","observed_import_path":"content/sets-functions-relations/arithmetization/rationals.tex","occurrence_id":"c80:OLP-0043:problem:002:main-fol","printed_number":"5.3","source":{"block":{"bytes":182,"sha256":"31cc20c3f58f18073696e34da959e1d2474c412e83d3037328d4d49963eaa7d4"},"byte_end_exclusive":3235,"byte_start":3053,"end_line":73,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":69},"source_file":{"bytes":3255,"sha256":"7140495368042fcbc55907e6ee568c5bc8b7066e44a01a50cbf4202acebe71d2"},"source_occurrence_order":66,"source_path":"content/sets-functions-relations/arithmetization/rationals.tex","source_problem_id":"c80:OLP-0043:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":192,"sha256":"545a0b723f4a0f3e5a9a10139325cbf5f08008e59e740627eeabf22fa40819ad"},"byte_end_exclusive":3649,"byte_start":3457,"end_line":76,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":72},"target_file":{"bytes":3666,"sha256":"772b9a8ee465529c37bf9149f2ed17d23a1f1e4a0f87dfdfae741e12f71d6340"},"target_path":"locale/id/content/sets-functions-relations/arithmetization/rationals.tex"},"number":"5.3","physical_page":105,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=105","section_title_id":"Dari Z ke Q","solution_state":"not_audited","source_problem_id":"c80:OLP-0043:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0043"},{"chapter":"main:5","component":"main","id":"c80:OLP-0047:problem:001:main-fol","local_reader_url":"reader.pdf#page=105","mapping":{"canonical_section_label":"sfr:arith:check:sec","canonical_section_value":["5.6","83","Ring dan Lapangan Terurut","section*.511",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=105","combined_page":105,"destination":"probd*.546","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0047","observed_import_path":"content/sets-functions-relations/arithmetization/checking-details.tex","occurrence_id":"c80:OLP-0047:problem:001:main-fol","printed_number":"5.4","source":{"block":{"bytes":66,"sha256":"4bbc7183c59b9cf0edf94ae88473fc25b9d23256a382dfcb0c1cd92c25d5627b"},"byte_end_exclusive":4379,"byte_start":4313,"end_line":99,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":97},"source_file":{"bytes":8707,"sha256":"d791c146f159c8e43368c12cd1a10e61a53f501baf9f3d2c606c7bd589c0ae01"},"source_occurrence_order":67,"source_path":"content/sets-functions-relations/arithmetization/checking-details.tex","source_problem_id":"c80:OLP-0047:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":68,"sha256":"81b16976aa24f768c82fade9cffbfdb5b4d9d9941673f814a65c7825fa109c50"},"byte_end_exclusive":4543,"byte_start":4475,"end_line":100,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":98},"target_file":{"bytes":9363,"sha256":"35a61f27d3b79f8d0bfc9dbc0ecdefdcd0680ffa674387965a9e4fe51697a8ee"},"target_path":"locale/id/content/sets-functions-relations/arithmetization/checking-details.tex"},"number":"5.4","physical_page":105,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=105","section_title_id":"Ring dan Lapangan Terurut","solution_state":"not_audited","source_problem_id":"c80:OLP-0047:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0047"},{"chapter":"main:5","component":"main","id":"c80:OLP-0047:problem:002:main-fol","local_reader_url":"reader.pdf#page=105","mapping":{"canonical_section_label":"sfr:arith:check:sec","canonical_section_value":["5.6","83","Ring dan Lapangan Terurut","section*.511",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=105","combined_page":105,"destination":"probd*.548","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0047","observed_import_path":"content/sets-functions-relations/arithmetization/checking-details.tex","occurrence_id":"c80:OLP-0047:problem:002:main-fol","printed_number":"5.5","source":{"block":{"bytes":64,"sha256":"673b3cccfb6f574fcec49b970dea0c49676b069da05f18a7b1eb513d5af33679"},"byte_end_exclusive":5309,"byte_start":5245,"end_line":122,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":120},"source_file":{"bytes":8707,"sha256":"d791c146f159c8e43368c12cd1a10e61a53f501baf9f3d2c606c7bd589c0ae01"},"source_occurrence_order":68,"source_path":"content/sets-functions-relations/arithmetization/checking-details.tex","source_problem_id":"c80:OLP-0047:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":66,"sha256":"0dd5a1ca2533c33fc43913e431cafbdf4614f3cca8ff6e81fac7cadac7ee3c51"},"byte_end_exclusive":5520,"byte_start":5454,"end_line":124,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":122},"target_file":{"bytes":9363,"sha256":"35a61f27d3b79f8d0bfc9dbc0ecdefdcd0680ffa674387965a9e4fe51697a8ee"},"target_path":"locale/id/content/sets-functions-relations/arithmetization/checking-details.tex"},"number":"5.5","physical_page":105,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=105","section_title_id":"Ring dan Lapangan Terurut","solution_state":"not_audited","source_problem_id":"c80:OLP-0047:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0047"},{"chapter":"main:5","component":"main","id":"c80:OLP-0047:problem:003:main-fol","local_reader_url":"reader.pdf#page=106","mapping":{"canonical_section_label":"sfr:arith:check:sec","canonical_section_value":["5.6","83","Ring dan Lapangan Terurut","section*.511",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=106","combined_page":106,"destination":"probd*.550","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0047","observed_import_path":"content/sets-functions-relations/arithmetization/checking-details.tex","occurrence_id":"c80:OLP-0047:problem:003:main-fol","printed_number":"5.6","source":{"block":{"bytes":64,"sha256":"7d6b86f98acf540c9cc32af601af7472cbe8f999095170dfa6a4de8d47e344ee"},"byte_end_exclusive":6132,"byte_start":6068,"end_line":143,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":141},"source_file":{"bytes":8707,"sha256":"d791c146f159c8e43368c12cd1a10e61a53f501baf9f3d2c606c7bd589c0ae01"},"source_occurrence_order":69,"source_path":"content/sets-functions-relations/arithmetization/checking-details.tex","source_problem_id":"c80:OLP-0047:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":70,"sha256":"4835affc130be08ddf5a1d2280decc2bd5065a77e479c11d9a64944b8200d4d1"},"byte_end_exclusive":6475,"byte_start":6405,"end_line":148,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":146},"target_file":{"bytes":9363,"sha256":"35a61f27d3b79f8d0bfc9dbc0ecdefdcd0680ffa674387965a9e4fe51697a8ee"},"target_path":"locale/id/content/sets-functions-relations/arithmetization/checking-details.tex"},"number":"5.6","physical_page":106,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=106","section_title_id":"Ring dan Lapangan Terurut","solution_state":"not_audited","source_problem_id":"c80:OLP-0047:problem:003","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0047"},{"chapter":"main:5","component":"main","id":"c80:OLP-0047:problem:004:main-fol","local_reader_url":"reader.pdf#page=106","mapping":{"canonical_section_label":"sfr:arith:check:sec","canonical_section_value":["5.6","83","Ring dan Lapangan Terurut","section*.511",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=106","combined_page":106,"destination":"probd*.552","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0047","observed_import_path":"content/sets-functions-relations/arithmetization/checking-details.tex","occurrence_id":"c80:OLP-0047:problem:004:main-fol","printed_number":"5.7","source":{"block":{"bytes":65,"sha256":"980ba2463d065bf61c11f1e2830067f504eac749d1680a18cf27c7f8356042e9"},"byte_end_exclusive":7785,"byte_start":7720,"end_line":177,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":175},"source_file":{"bytes":8707,"sha256":"d791c146f159c8e43368c12cd1a10e61a53f501baf9f3d2c606c7bd589c0ae01"},"source_occurrence_order":70,"source_path":"content/sets-functions-relations/arithmetization/checking-details.tex","source_problem_id":"c80:OLP-0047:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":71,"sha256":"8961868e903d174f9e7df3d6cca728bac09db65f9aeffcc9a91b32b1a881f0af"},"byte_end_exclusive":8312,"byte_start":8241,"end_line":184,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":182},"target_file":{"bytes":9363,"sha256":"35a61f27d3b79f8d0bfc9dbc0ecdefdcd0680ffa674387965a9e4fe51697a8ee"},"target_path":"locale/id/content/sets-functions-relations/arithmetization/checking-details.tex"},"number":"5.7","physical_page":106,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=106","section_title_id":"Ring dan Lapangan Terurut","solution_state":"not_audited","source_problem_id":"c80:OLP-0047:problem:004","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0047"},{"chapter":"main:5","component":"main","id":"c80:OLP-0048:problem:001:main-fol","local_reader_url":"reader.pdf#page=106","mapping":{"canonical_section_label":"sfr:arith:cauchy:sec","canonical_section_value":["5.7","86","Lampiran: Bilangan Real sebagai Barisan Cauchy","section*.524",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=106","combined_page":106,"destination":"probd*.554","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0048","observed_import_path":"content/sets-functions-relations/arithmetization/cauchy.tex","occurrence_id":"c80:OLP-0048:problem:001:main-fol","printed_number":"5.8","source":{"block":{"bytes":210,"sha256":"1d2aab5476b01c7b1f099d626423c4809c73a14bd2b39ad3d2485a3c9fef9f60"},"byte_end_exclusive":6234,"byte_start":6024,"end_line":131,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":127},"source_file":{"bytes":10928,"sha256":"35d0a39913340eadcab7fb9d7742b56aef0d0f29868cd65eeca9dc53694e8ac2"},"source_occurrence_order":71,"source_path":"content/sets-functions-relations/arithmetization/cauchy.tex","source_problem_id":"c80:OLP-0048:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":231,"sha256":"b49bcb31328952e72071a646c9c60c9f1932d918569a3c923bedf3351590ff3b"},"byte_end_exclusive":6849,"byte_start":6618,"end_line":129,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":125},"target_file":{"bytes":12067,"sha256":"c83d8ad89dfb297e2a76eb109480da2c3cb5f109d1a177c316447638be8c7465"},"target_path":"locale/id/content/sets-functions-relations/arithmetization/cauchy.tex"},"number":"5.8","physical_page":106,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=106","section_title_id":"Lampiran: Bilangan Real sebagai Barisan Cauchy","solution_state":"not_audited","source_problem_id":"c80:OLP-0048:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0048"},{"chapter":"main:5","component":"main","id":"c80:OLP-0048:problem:002:main-fol","local_reader_url":"reader.pdf#page=106","mapping":{"canonical_section_label":"sfr:arith:cauchy:sec","canonical_section_value":["5.7","86","Lampiran: Bilangan Real sebagai Barisan Cauchy","section*.524",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=106","combined_page":106,"destination":"probd*.556","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0048","observed_import_path":"content/sets-functions-relations/arithmetization/cauchy.tex","occurrence_id":"c80:OLP-0048:problem:002:main-fol","printed_number":"5.9","source":{"block":{"bytes":86,"sha256":"7868c59112509e9c8c8a7bb99df71ee1ea95b32c59668521ee3541facc21679e"},"byte_end_exclusive":8077,"byte_start":7991,"end_line":171,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":169},"source_file":{"bytes":10928,"sha256":"35d0a39913340eadcab7fb9d7742b56aef0d0f29868cd65eeca9dc53694e8ac2"},"source_occurrence_order":72,"source_path":"content/sets-functions-relations/arithmetization/cauchy.tex","source_problem_id":"c80:OLP-0048:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":95,"sha256":"ed97099c9702da4f03814ae3e041546910f98d57702e740c21ae2fae9ba12885"},"byte_end_exclusive":8851,"byte_start":8756,"end_line":171,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":169},"target_file":{"bytes":12067,"sha256":"c83d8ad89dfb297e2a76eb109480da2c3cb5f109d1a177c316447638be8c7465"},"target_path":"locale/id/content/sets-functions-relations/arithmetization/cauchy.tex"},"number":"5.9","physical_page":106,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=106","section_title_id":"Lampiran: Bilangan Real sebagai Barisan Cauchy","solution_state":"not_audited","source_problem_id":"c80:OLP-0048:problem:002","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0048"},{"chapter":"main:7","component":"main","id":"c80:OLP-0059:problem:001:main-fol","local_reader_url":"reader.pdf#page=127","mapping":{"canonical_section_label":"pl:syn:pre:sec","canonical_section_value":["7.3","101","Persiapan","section*.623",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=127","combined_page":127,"destination":"probd*.723","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0059","observed_import_path":"content/propositional-logic/syntax-and-semantics/preliminaries.tex","occurrence_id":"c80:OLP-0059:problem:001:main-fol","printed_number":"7.1","source":{"block":{"bytes":67,"sha256":"a1d17935d30e7dd335636bd3279f87eed5e7b7e4e9c49f93f4ecf9e6a310a788"},"byte_end_exclusive":1608,"byte_start":1541,"end_line":48,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":46},"source_file":{"bytes":4271,"sha256":"78673f8419aa1f936f1ecc5629c0fa92c74fd4ee3102badf5f389e3d775f48d6"},"source_occurrence_order":73,"source_path":"content/propositional-logic/syntax-and-semantics/preliminaries.tex","source_problem_id":"c80:OLP-0059:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":68,"sha256":"e140648cf0170f12a04d1de8c0ee6ef74830d48f502bd50fcddb586a6a7cbfff"},"byte_end_exclusive":1705,"byte_start":1637,"end_line":48,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":46},"target_file":{"bytes":4469,"sha256":"df60b0058fd7d79d8b369ebdb98d5ca109093aa2c0ed99badf87e1a4500edb2e"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/preliminaries.tex"},"number":"7.1","physical_page":127,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=127","section_title_id":"Persiapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0059:problem:001","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0059"},{"chapter":"main:7","component":"main","id":"c80:OLP-0059:problem:002:main-fol","local_reader_url":"reader.pdf#page=127","mapping":{"canonical_section_label":"pl:syn:pre:sec","canonical_section_value":["7.3","101","Persiapan","section*.623",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=127","combined_page":127,"destination":"probd*.725","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0059","observed_import_path":"content/propositional-logic/syntax-and-semantics/preliminaries.tex","occurrence_id":"c80:OLP-0059:problem:002:main-fol","printed_number":"7.2","source":{"block":{"bytes":67,"sha256":"86bb9b0bc0bfe896cb4cf19ce7f4f9a51404897c7eef758cff789f1c2d3dad8d"},"byte_end_exclusive":1789,"byte_start":1722,"end_line":56,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":54},"source_file":{"bytes":4271,"sha256":"78673f8419aa1f936f1ecc5629c0fa92c74fd4ee3102badf5f389e3d775f48d6"},"source_occurrence_order":74,"source_path":"content/propositional-logic/syntax-and-semantics/preliminaries.tex","source_problem_id":"c80:OLP-0059:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":68,"sha256":"6b8ece4dd7378db30bf97d25b64a2e5b4b8fc470fc88a6447138ec3d23e71bdc"},"byte_end_exclusive":1898,"byte_start":1830,"end_line":56,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":54},"target_file":{"bytes":4469,"sha256":"df60b0058fd7d79d8b369ebdb98d5ca109093aa2c0ed99badf87e1a4500edb2e"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/preliminaries.tex"},"number":"7.2","physical_page":127,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=127","section_title_id":"Persiapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0059:problem:002","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0059"},{"chapter":"main:7","component":"main","id":"c80:OLP-0059:problem:003:main-fol","local_reader_url":"reader.pdf#page=127","mapping":{"canonical_section_label":"pl:syn:pre:sec","canonical_section_value":["7.3","101","Persiapan","section*.623",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=127","combined_page":127,"destination":"probd*.727","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0059","observed_import_path":"content/propositional-logic/syntax-and-semantics/preliminaries.tex","occurrence_id":"c80:OLP-0059:problem:003:main-fol","printed_number":"7.3","source":{"block":{"bytes":751,"sha256":"489cb82689a7c323b24ad9a7dad5c29e0196ce4eaf99dc9ce40bc36e34f01bc0"},"byte_end_exclusive":4140,"byte_start":3389,"end_line":112,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":100},"source_file":{"bytes":4271,"sha256":"78673f8419aa1f936f1ecc5629c0fa92c74fd4ee3102badf5f389e3d775f48d6"},"source_occurrence_order":75,"source_path":"content/propositional-logic/syntax-and-semantics/preliminaries.tex","source_problem_id":"c80:OLP-0059:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":777,"sha256":"58a9ae71490cab32f679d24bc2f54cfa9bc1fe16d89f1e2bbe4fbbb322a1dd25"},"byte_end_exclusive":4340,"byte_start":3563,"end_line":114,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":101},"target_file":{"bytes":4469,"sha256":"df60b0058fd7d79d8b369ebdb98d5ca109093aa2c0ed99badf87e1a4500edb2e"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/preliminaries.tex"},"number":"7.3","physical_page":127,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=127","section_title_id":"Persiapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0059:problem:003","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0059"},{"chapter":"main:7","component":"main","id":"c80:OLP-0059:problem:004:main-fol","local_reader_url":"reader.pdf#page=127","mapping":{"canonical_section_label":"pl:syn:pre:sec","canonical_section_value":["7.3","101","Persiapan","section*.623",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=127","combined_page":127,"destination":"probd*.734","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0059","observed_import_path":"content/propositional-logic/syntax-and-semantics/preliminaries.tex","occurrence_id":"c80:OLP-0059:problem:004:main-fol","printed_number":"7.4","source":{"block":{"bytes":105,"sha256":"4f4c76fb68e5e563692e4cc4afffe85ac0acda59e6387bd1d906b8582e2c1fc6"},"byte_end_exclusive":4249,"byte_start":4144,"end_line":117,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":114},"source_file":{"bytes":4271,"sha256":"78673f8419aa1f936f1ecc5629c0fa92c74fd4ee3102badf5f389e3d775f48d6"},"source_occurrence_order":76,"source_path":"content/propositional-logic/syntax-and-semantics/preliminaries.tex","source_problem_id":"c80:OLP-0059:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":110,"sha256":"690eaf1fb0559f897c0b22d42c54054444dd3e73e2d20c014ffa15b9e70b72fe"},"byte_end_exclusive":4452,"byte_start":4342,"end_line":119,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":116},"target_file":{"bytes":4469,"sha256":"df60b0058fd7d79d8b369ebdb98d5ca109093aa2c0ed99badf87e1a4500edb2e"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/preliminaries.tex"},"number":"7.4","physical_page":127,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=127","section_title_id":"Persiapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0059:problem:004","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0059"},{"chapter":"main:7","component":"main","id":"c80:OLP-0061:problem:001:main-fol","local_reader_url":"reader.pdf#page=128","mapping":{"canonical_section_label":"pl:syn:val:sec","canonical_section_value":["7.5","104","\\usetoken {P}{valuation} dan Pemuasan","section*.678",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","combined_page":128,"destination":"probd*.736","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0061","observed_import_path":"content/propositional-logic/syntax-and-semantics/valuations-sat.tex","occurrence_id":"c80:OLP-0061:problem:001:main-fol","printed_number":"7.5","source":{"block":{"bytes":410,"sha256":"c102f63ad311f9502c8d35f53eacb65e377f59d1a8e399627c94b7d02abd6732"},"byte_end_exclusive":4134,"byte_start":3724,"end_line":131,"environment":"prob","environments":["gather*","cases"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":119},"source_file":{"bytes":6190,"sha256":"d1454e8c2366f3a204a371523f41feacbdc72402f7a3a7ae6635b60b17c90481"},"source_occurrence_order":77,"source_path":"content/propositional-logic/syntax-and-semantics/valuations-sat.tex","source_problem_id":"c80:OLP-0061:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":429,"sha256":"0ec1000ae917007f7d89a37430ed0fed987d35a775d600035a1aa9ce897484d0"},"byte_end_exclusive":4112,"byte_start":3683,"end_line":132,"environment":"prob","environments":["gather*","cases"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":120},"target_file":{"bytes":6339,"sha256":"22b344cb5a7008a0cb27236055077a9fa505e35bf9b4349ef4b39a1512577677"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/valuations-sat.tex"},"number":"7.5","physical_page":128,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","section_title_id":"Valuasi dan Pemuasan","solution_state":"not_audited","source_problem_id":"c80:OLP-0061:problem:001","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0061"},{"chapter":"main:7","component":"main","id":"c80:OLP-0061:problem:002:main-fol","local_reader_url":"reader.pdf#page=128","mapping":{"canonical_section_label":"pl:syn:val:sec","canonical_section_value":["7.5","104","\\usetoken {P}{valuation} dan Pemuasan","section*.678",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","combined_page":128,"destination":"probd*.738","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0061","observed_import_path":"content/propositional-logic/syntax-and-semantics/valuations-sat.tex","occurrence_id":"c80:OLP-0061:problem:002:main-fol","printed_number":"7.6","source":{"block":{"bytes":70,"sha256":"b5f847d4875a7c18a2178aaf0a6746bf2e4fcafaec7fb0b46e5499ddeeeac0af"},"byte_end_exclusive":6170,"byte_start":6100,"end_line":196,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":194},"source_file":{"bytes":6190,"sha256":"d1454e8c2366f3a204a371523f41feacbdc72402f7a3a7ae6635b60b17c90481"},"source_occurrence_order":78,"source_path":"content/propositional-logic/syntax-and-semantics/valuations-sat.tex","source_problem_id":"c80:OLP-0061:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":71,"sha256":"4e8ca4b8aaeac05928093a697b3867db6da1a65b04be3462f63f974c6a1a14b9"},"byte_end_exclusive":6322,"byte_start":6251,"end_line":199,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":197},"target_file":{"bytes":6339,"sha256":"22b344cb5a7008a0cb27236055077a9fa505e35bf9b4349ef4b39a1512577677"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/valuations-sat.tex"},"number":"7.6","physical_page":128,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","section_title_id":"Valuasi dan Pemuasan","solution_state":"not_audited","source_problem_id":"c80:OLP-0061:problem:002","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0061"},{"chapter":"main:7","component":"main","id":"c80:OLP-0062:problem:001:main-fol","local_reader_url":"reader.pdf#page=128","mapping":{"canonical_section_label":"pl:syn:sem:sec","canonical_section_value":["7.6","106","Gagasan Semantis","section*.699",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","combined_page":128,"destination":"probd*.740","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0062","observed_import_path":"content/propositional-logic/syntax-and-semantics/semantic-notions.tex","occurrence_id":"c80:OLP-0062:problem:001:main-fol","printed_number":"7.7","source":{"block":{"bytes":621,"sha256":"654ca6c8eb63b21d83345fa738aa810e96da3f92c2ba674227094c4643197048"},"byte_end_exclusive":1735,"byte_start":1114,"end_line":43,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":34},"source_file":{"bytes":3058,"sha256":"0167b2bab0dc2a75d011556643190a246d29831244a60bde5515b1b2f431406a"},"source_occurrence_order":79,"source_path":"content/propositional-logic/syntax-and-semantics/semantic-notions.tex","source_problem_id":"c80:OLP-0062:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":646,"sha256":"0b460c4e81a4a6c5fdbde3e1e11dac12346f9badbb140795a14820caa307e29e"},"byte_end_exclusive":1925,"byte_start":1279,"end_line":45,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":36},"target_file":{"bytes":3251,"sha256":"1e32925e1d401747f5ac5b73403884083b85efd85f70d708bad9c66369580115"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/semantic-notions.tex"},"number":"7.7","physical_page":128,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","section_title_id":"Gagasan Semantis","solution_state":"not_audited","source_problem_id":"c80:OLP-0062:problem:001","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0062"},{"chapter":"main:7","component":"main","id":"c80:OLP-0062:problem:002:main-fol","local_reader_url":"reader.pdf#page=128","mapping":{"canonical_section_label":"pl:syn:sem:sec","canonical_section_value":["7.6","106","Gagasan Semantis","section*.699",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","combined_page":128,"destination":"probd*.746","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0062","observed_import_path":"content/propositional-logic/syntax-and-semantics/semantic-notions.tex","occurrence_id":"c80:OLP-0062:problem:002:main-fol","printed_number":"7.8","source":{"block":{"bytes":74,"sha256":"28f6b9edaa870efae25f17666e84e84834d0a3278793d3448c0cf57813779d38"},"byte_end_exclusive":2496,"byte_start":2422,"end_line":68,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":66},"source_file":{"bytes":3058,"sha256":"0167b2bab0dc2a75d011556643190a246d29831244a60bde5515b1b2f431406a"},"source_occurrence_order":80,"source_path":"content/propositional-logic/syntax-and-semantics/semantic-notions.tex","source_problem_id":"c80:OLP-0062:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":75,"sha256":"732c238eb854e84b5601c75feec682b9bf7900b0b837aff1a26bd8cd2597afb2"},"byte_end_exclusive":2702,"byte_start":2627,"end_line":70,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":68},"target_file":{"bytes":3251,"sha256":"1e32925e1d401747f5ac5b73403884083b85efd85f70d708bad9c66369580115"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/semantic-notions.tex"},"number":"7.8","physical_page":128,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","section_title_id":"Gagasan Semantis","solution_state":"not_audited","source_problem_id":"c80:OLP-0062:problem:002","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0062"},{"chapter":"main:7","component":"main","id":"c80:OLP-0062:problem:003:main-fol","local_reader_url":"reader.pdf#page=128","mapping":{"canonical_section_label":"pl:syn:sem:sec","canonical_section_value":["7.6","106","Gagasan Semantis","section*.699",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","combined_page":128,"destination":"probd*.748","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0062","observed_import_path":"content/propositional-logic/syntax-and-semantics/semantic-notions.tex","occurrence_id":"c80:OLP-0062:problem:003:main-fol","printed_number":"7.9","source":{"block":{"bytes":72,"sha256":"3388a6e21605857b08371ef9ef56e6e94463615437c8f18bfbf7c45920c20f9d"},"byte_end_exclusive":2756,"byte_start":2684,"end_line":81,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":79},"source_file":{"bytes":3058,"sha256":"0167b2bab0dc2a75d011556643190a246d29831244a60bde5515b1b2f431406a"},"source_occurrence_order":81,"source_path":"content/propositional-logic/syntax-and-semantics/semantic-notions.tex","source_problem_id":"c80:OLP-0062:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":73,"sha256":"ddde1a5349110dfba634aa5ccc5f7e70f52ad00bdc88ceda13ae0896f5582c7d"},"byte_end_exclusive":2960,"byte_start":2887,"end_line":83,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":81},"target_file":{"bytes":3251,"sha256":"1e32925e1d401747f5ac5b73403884083b85efd85f70d708bad9c66369580115"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/semantic-notions.tex"},"number":"7.9","physical_page":128,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","section_title_id":"Gagasan Semantis","solution_state":"not_audited","source_problem_id":"c80:OLP-0062:problem:003","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0062"},{"chapter":"main:7","component":"main","id":"c80:OLP-0062:problem:004:main-fol","local_reader_url":"reader.pdf#page=128","mapping":{"canonical_section_label":"pl:syn:sem:sec","canonical_section_value":["7.6","106","Gagasan Semantis","section*.699",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","combined_page":128,"destination":"probd*.750","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0062","observed_import_path":"content/propositional-logic/syntax-and-semantics/semantic-notions.tex","occurrence_id":"c80:OLP-0062:problem:004:main-fol","printed_number":"7.10","source":{"block":{"bytes":71,"sha256":"17a97820e6087f7005090975d8ffc493856e596454d5a42584fcf3d2598ad365"},"byte_end_exclusive":3038,"byte_start":2967,"end_line":94,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":92},"source_file":{"bytes":3058,"sha256":"0167b2bab0dc2a75d011556643190a246d29831244a60bde5515b1b2f431406a"},"source_occurrence_order":82,"source_path":"content/propositional-logic/syntax-and-semantics/semantic-notions.tex","source_problem_id":"c80:OLP-0062:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":72,"sha256":"3f9296b3f0e66f43b5f0e42629c4d0a9d1150273d5bea590c470e7116662b8dc"},"byte_end_exclusive":3234,"byte_start":3162,"end_line":96,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":94},"target_file":{"bytes":3251,"sha256":"1e32925e1d401747f5ac5b73403884083b85efd85f70d708bad9c66369580115"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/semantic-notions.tex"},"number":"7.10","physical_page":128,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=128","section_title_id":"Gagasan Semantis","solution_state":"not_audited","source_problem_id":"c80:OLP-0062:problem:004","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0062"},{"chapter":"main:9","component":"main","id":"c80:OLP-0075:problem:001:main-propositional","local_reader_url":"reader.pdf#page=155","mapping":{"canonical_section_label":"pl:seq:pro:sec","canonical_section_value":["9.5","118","Contoh \\usetoken {P}{derivation}","section*.788",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=155","combined_page":155,"destination":"probd*.887","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0075","observed_import_path":"content/propositional-logic/../first-order-logic/sequent-calculus/proving-things.tex","occurrence_id":"c80:OLP-0075:problem:001:main-propositional","printed_number":"9.1","source":{"block":{"bytes":332,"sha256":"22d15e7e411091c85aec0df1759fa1f00f0c694449ecadf2ff2d7804cdb1b7b7"},"byte_end_exclusive":11370,"byte_start":11038,"end_line":308,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":300},"source_file":{"bytes":12749,"sha256":"73fa9c16dcbd072ac535c251fa02fc78640b82381d57162817043a6ad578b18e"},"source_occurrence_order":83,"source_path":"content/first-order-logic/sequent-calculus/proving-things.tex","source_problem_id":"c80:OLP-0075:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":329,"sha256":"93a944ed3bdec1baa651c6eae11159c525634807fe48ec805d85b208bfc3879c"},"byte_end_exclusive":11416,"byte_start":11087,"end_line":310,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":302},"target_file":{"bytes":12778,"sha256":"897a12b7bc254b1324e1e7ec938f697e6643c91124540d7f0216ca22c1e7a466"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/proving-things.tex"},"number":"9.1","physical_page":155,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=155","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0075:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0075"},{"chapter":"main:9","component":"main","id":"c80:OLP-0075:problem:002:main-propositional","local_reader_url":"reader.pdf#page=155","mapping":{"canonical_section_label":"pl:seq:pro:sec","canonical_section_value":["9.5","118","Contoh \\usetoken {P}{derivation}","section*.788",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=155","combined_page":155,"destination":"probd*.893","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0075","observed_import_path":"content/propositional-logic/../first-order-logic/sequent-calculus/proving-things.tex","occurrence_id":"c80:OLP-0075:problem:002:main-propositional","printed_number":"9.2","source":{"block":{"bytes":783,"sha256":"31bf16fcd03b2211d4d275ce3188e4f796b2019d1ac1574e8a21a89c76c37341"},"byte_end_exclusive":12157,"byte_start":11374,"end_line":326,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":310},"source_file":{"bytes":12749,"sha256":"73fa9c16dcbd072ac535c251fa02fc78640b82381d57162817043a6ad578b18e"},"source_occurrence_order":84,"source_path":"content/first-order-logic/sequent-calculus/proving-things.tex","source_problem_id":"c80:OLP-0075:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":772,"sha256":"0e4895f96afccd1769c48dd9888bbbf1c690992fdede861fab92327a5f07836d"},"byte_end_exclusive":12190,"byte_start":11418,"end_line":328,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":312},"target_file":{"bytes":12778,"sha256":"897a12b7bc254b1324e1e7ec938f697e6643c91124540d7f0216ca22c1e7a466"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/proving-things.tex"},"number":"9.2","physical_page":155,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=155","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0075:problem:002","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0075"},{"chapter":"main:9","component":"main","id":"c80:OLP-0075:problem:003:main-propositional","local_reader_url":"reader.pdf#page=155","mapping":{"canonical_section_label":"pl:seq:pro:sec","canonical_section_value":["9.5","118","Contoh \\usetoken {P}{derivation}","section*.788",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=155","combined_page":155,"destination":"probd*.907","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0075","observed_import_path":"content/propositional-logic/../first-order-logic/sequent-calculus/proving-things.tex","occurrence_id":"c80:OLP-0075:problem:003:main-propositional","printed_number":"9.3","source":{"block":{"bytes":570,"sha256":"f862e0898dd7968f871258eabcd3d4720b9ab8f60f18e054d8855c6432db13b6"},"byte_end_exclusive":12731,"byte_start":12161,"end_line":341,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":328},"source_file":{"bytes":12749,"sha256":"73fa9c16dcbd072ac535c251fa02fc78640b82381d57162817043a6ad578b18e"},"source_occurrence_order":85,"source_path":"content/first-order-logic/sequent-calculus/proving-things.tex","source_problem_id":"c80:OLP-0075:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":570,"sha256":"aa248ffb9a7068a055140a8dbb1901983b073f14d1b3498582ec6bfa71839da9"},"byte_end_exclusive":12762,"byte_start":12192,"end_line":343,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":330},"target_file":{"bytes":12778,"sha256":"897a12b7bc254b1324e1e7ec938f697e6643c91124540d7f0216ca22c1e7a466"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/proving-things.tex"},"number":"9.3","physical_page":155,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=155","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0075:problem:003","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0075"},{"chapter":"main:9","component":"main","id":"c80:OLP-0077:problem:001:main-propositional","local_reader_url":"reader.pdf#page=156","mapping":{"canonical_section_label":"pl:seq:ptn:sec","canonical_section_value":["9.6","122","Gagasan Teori-Bukti","section*.797",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=156","combined_page":156,"destination":"probd*.917","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0077","observed_import_path":"content/propositional-logic/../first-order-logic/sequent-calculus/proof-theoretic-notions.tex","occurrence_id":"c80:OLP-0077:problem:001:main-propositional","printed_number":"9.4","source":{"block":{"bytes":66,"sha256":"549938a5f2a42bcd034061f9867b9a7cb95465c4c253518cf0110e36f65009c7"},"byte_end_exclusive":5195,"byte_start":5129,"end_line":145,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":143},"source_file":{"bytes":6084,"sha256":"aea2dd5d73394a3cd97b72ada3e7d21aac0113cc4d995b54196a5506b1fa5a81"},"source_occurrence_order":86,"source_path":"content/first-order-logic/sequent-calculus/proof-theoretic-notions.tex","source_problem_id":"c80:OLP-0077:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":68,"sha256":"829b46b99b3757465472ad119d84fc2c53c41a8bba02ed75fa867238f0fd8663"},"byte_end_exclusive":5457,"byte_start":5389,"end_line":150,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":148},"target_file":{"bytes":6431,"sha256":"12837032db27238fc42e074d8bdf85b6ba6b93fb69aa3584cf76f33d3d1a3b27"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/proof-theoretic-notions.tex"},"number":"9.4","physical_page":156,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=156","section_title_id":"Gagasan Teori-Bukti","solution_state":"not_audited","source_problem_id":"c80:OLP-0077:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0077"},{"chapter":"main:9","component":"main","id":"c80:OLP-0078:problem:001:main-propositional","local_reader_url":"reader.pdf#page=156","mapping":{"canonical_section_label":"pl:seq:prv:sec","canonical_section_value":["9.7","123","\\usetoken {S}{derivability} dan Konsistensi","section*.823",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=156","combined_page":156,"destination":"probd*.919","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0078","observed_import_path":"content/propositional-logic/../first-order-logic/sequent-calculus/provability-consistency.tex","occurrence_id":"c80:OLP-0078:problem:001:main-propositional","printed_number":"9.5","source":{"block":{"bytes":104,"sha256":"0955e30ee695af98659b6884ce8b1f612fd85f739bd4871827fa1cddf56201e3"},"byte_end_exclusive":2355,"byte_start":2251,"end_line":73,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":71},"source_file":{"bytes":4129,"sha256":"3e784d39f38d393203a7623b34e8fcad64e3299c102ee2ef96a812b5e6c8c229"},"source_occurrence_order":87,"source_path":"content/first-order-logic/sequent-calculus/provability-consistency.tex","source_problem_id":"c80:OLP-0078:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":120,"sha256":"7c315feed657a249afb0f73283fb7e0750166404dcd9784aa27fb257800463a0"},"byte_end_exclusive":2407,"byte_start":2287,"end_line":78,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":75},"target_file":{"bytes":4157,"sha256":"858f7f8d28106db6de7e18e9317efb8a6ccca0b48ebef5c1fd4926b6a14b3f9c"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/provability-consistency.tex"},"number":"9.5","physical_page":156,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=156","section_title_id":"Keterderivasian dan Konsistensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0078:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0078"},{"chapter":"main:9","component":"main","id":"c80:OLP-0081:problem:002:main-propositional","local_reader_url":"reader.pdf#page=156","mapping":{"canonical_section_label":"pl:seq:sou:sec","canonical_section_value":["9.9","126","Kesahihan","section*.858",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=156","combined_page":156,"destination":"probd*.921","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0081","observed_import_path":"content/propositional-logic/../first-order-logic/sequent-calculus/soundness.tex","occurrence_id":"c80:OLP-0081:problem:002:main-propositional","printed_number":"9.6","source":{"block":{"bytes":92,"sha256":"da82dbe204b4b81eb54c918bad60d50e962263c27c1ebb52f11f10ae4b67999c"},"byte_end_exclusive":16597,"byte_start":16505,"end_line":343,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":341},"source_file":{"bytes":18047,"sha256":"d9f6180bee35f29553144b6eca5a1eb1916e0262dcdc8c30f50193a53d8001fa"},"source_occurrence_order":88,"source_path":"content/first-order-logic/sequent-calculus/soundness.tex","source_problem_id":"c80:OLP-0081:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":88,"sha256":"be2ad16f0ad03b09444a15a086d736aea9a2e40d2ecb40537c34744296b095f2"},"byte_end_exclusive":17446,"byte_start":17358,"end_line":369,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":367},"target_file":{"bytes":18961,"sha256":"427331d19c0c5c4eca75e4ba260a58ca26f53221713d0672bc2586eb86afcf6b"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/soundness.tex"},"number":"9.6","physical_page":156,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=156","section_title_id":"Kesahihan","solution_state":"not_audited","source_problem_id":"c80:OLP-0081:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0081"},{"chapter":"main:10","component":"main","id":"c80:OLP-0089:problem:001:main-propositional","local_reader_url":"reader.pdf#page=173","mapping":{"canonical_section_label":"pl:ntd:pro:sec","canonical_section_value":["10.4","135","Contoh \\usetoken {P}{derivation}","section*.940",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=173","combined_page":173,"destination":"probd*.1035","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0089","observed_import_path":"content/propositional-logic/../first-order-logic/natural-deduction/proving-things.tex","occurrence_id":"c80:OLP-0089:problem:001:main-propositional","printed_number":"10.1","source":{"block":{"bytes":326,"sha256":"aa213382c37bd815206e1bf15f592769c6aad9796433e4f09da6be72026e9292"},"byte_end_exclusive":10028,"byte_start":9702,"end_line":275,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":267},"source_file":{"bytes":11372,"sha256":"ff58b86389a21dbc6f240f49e62d5fca0bdb4d3ba54e0d364792cdcddd34724f"},"source_occurrence_order":89,"source_path":"content/first-order-logic/natural-deduction/proving-things.tex","source_problem_id":"c80:OLP-0089:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":330,"sha256":"0233d2e8c6293f05843c1655a0ff7d7e3d44633fb04b9e46addc06f2e898577e"},"byte_end_exclusive":10153,"byte_start":9823,"end_line":282,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":274},"target_file":{"bytes":11486,"sha256":"069d99c8af43dc287db35c769f82c6e44e691275a9dc96456ec82e06389e2652"},"target_path":"locale/id/content/first-order-logic/natural-deduction/proving-things.tex"},"number":"10.1","physical_page":173,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=173","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0089:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0089"},{"chapter":"main:10","component":"main","id":"c80:OLP-0089:problem:002:main-propositional","local_reader_url":"reader.pdf#page=173","mapping":{"canonical_section_label":"pl:ntd:pro:sec","canonical_section_value":["10.4","135","Contoh \\usetoken {P}{derivation}","section*.940",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=173","combined_page":173,"destination":"probd*.1041","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0089","observed_import_path":"content/propositional-logic/../first-order-logic/natural-deduction/proving-things.tex","occurrence_id":"c80:OLP-0089:problem:002:main-propositional","printed_number":"10.2","source":{"block":{"bytes":769,"sha256":"b93ecc9621f10e60830333d7021f583b78bd480f518d661126e4dd5b128f9d29"},"byte_end_exclusive":10801,"byte_start":10032,"end_line":293,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":277},"source_file":{"bytes":11372,"sha256":"ff58b86389a21dbc6f240f49e62d5fca0bdb4d3ba54e0d364792cdcddd34724f"},"source_occurrence_order":90,"source_path":"content/first-order-logic/natural-deduction/proving-things.tex","source_problem_id":"c80:OLP-0089:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":765,"sha256":"cef233892a255b42099e156e21768269cd5265097d64e0a83c657bbfe37de1b3"},"byte_end_exclusive":10920,"byte_start":10155,"end_line":300,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":284},"target_file":{"bytes":11486,"sha256":"069d99c8af43dc287db35c769f82c6e44e691275a9dc96456ec82e06389e2652"},"target_path":"locale/id/content/first-order-logic/natural-deduction/proving-things.tex"},"number":"10.2","physical_page":173,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=173","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0089:problem:002","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0089"},{"chapter":"main:10","component":"main","id":"c80:OLP-0089:problem:003:main-propositional","local_reader_url":"reader.pdf#page=174","mapping":{"canonical_section_label":"pl:ntd:pro:sec","canonical_section_value":["10.4","135","Contoh \\usetoken {P}{derivation}","section*.940",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=174","combined_page":174,"destination":"probd*.1055","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0089","observed_import_path":"content/propositional-logic/../first-order-logic/natural-deduction/proving-things.tex","occurrence_id":"c80:OLP-0089:problem:003:main-propositional","printed_number":"10.3","source":{"block":{"bytes":547,"sha256":"e8b5c927314b4d7b855dabab619727995e19f381daaeb73cc52a64b73962b209"},"byte_end_exclusive":11352,"byte_start":10805,"end_line":308,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":295},"source_file":{"bytes":11372,"sha256":"ff58b86389a21dbc6f240f49e62d5fca0bdb4d3ba54e0d364792cdcddd34724f"},"source_occurrence_order":91,"source_path":"content/first-order-logic/natural-deduction/proving-things.tex","source_problem_id":"c80:OLP-0089:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":547,"sha256":"4160facebd7912f81b01bf63f4b07afe6767d3fe8059b81f31ebb18255853411"},"byte_end_exclusive":11469,"byte_start":10922,"end_line":315,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":302},"target_file":{"bytes":11486,"sha256":"069d99c8af43dc287db35c769f82c6e44e691275a9dc96456ec82e06389e2652"},"target_path":"locale/id/content/first-order-logic/natural-deduction/proving-things.tex"},"number":"10.3","physical_page":174,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=174","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0089:problem:003","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0089"},{"chapter":"main:10","component":"main","id":"c80:OLP-0091:problem:002:main-propositional","local_reader_url":"reader.pdf#page=174","mapping":{"canonical_section_label":"pl:ntd:ptn:sec","canonical_section_value":["10.5","139","Gagasan Teori-Bukti","section*.947",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=174","combined_page":174,"destination":"probd*.1065","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0091","observed_import_path":"content/propositional-logic/../first-order-logic/natural-deduction/proof-theoretic-notions.tex","occurrence_id":"c80:OLP-0091:problem:002:main-propositional","printed_number":"10.4","source":{"block":{"bytes":65,"sha256":"9bfa382fed9a4222d0f82726e226ed13a479406da4d5f64436ec76ff2b592786"},"byte_end_exclusive":4285,"byte_start":4220,"end_line":133,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":131},"source_file":{"bytes":5198,"sha256":"7e05743251dd0c5071685193a98c28baea1c77b06836f11e3f3e3aa6a6bd9198"},"source_occurrence_order":92,"source_path":"content/first-order-logic/natural-deduction/proof-theoretic-notions.tex","source_problem_id":"c80:OLP-0091:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":67,"sha256":"6503d3b8a989a7b2003a43c35d8e9ab222ad7d78a60c4c8eec5437a8600309dc"},"byte_end_exclusive":4516,"byte_start":4449,"end_line":139,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":137},"target_file":{"bytes":5475,"sha256":"bacfe229b38696e84d8debf870a167cab73b58b60c3ae3f0fa7fa9b760a6d1d9"},"target_path":"locale/id/content/first-order-logic/natural-deduction/proof-theoretic-notions.tex"},"number":"10.4","physical_page":174,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=174","section_title_id":"Gagasan Teori-Bukti","solution_state":"not_audited","source_problem_id":"c80:OLP-0091:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0091"},{"chapter":"main:10","component":"main","id":"c80:OLP-0092:problem:001:main-propositional","local_reader_url":"reader.pdf#page=174","mapping":{"canonical_section_label":"pl:ntd:prv:sec","canonical_section_value":["10.6","140","\\usetoken {S}{derivability} dan Konsistensi","section*.976",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=174","combined_page":174,"destination":"probd*.1067","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0092","observed_import_path":"content/propositional-logic/../first-order-logic/natural-deduction/provability-consistency.tex","occurrence_id":"c80:OLP-0092:problem:001:main-propositional","printed_number":"10.5","source":{"block":{"bytes":105,"sha256":"9a30b9f2143fe9c45a64979025282560d8ef19e93ed20ee5c8f89aa2037c8eeb"},"byte_end_exclusive":2400,"byte_start":2295,"end_line":80,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":77},"source_file":{"bytes":4037,"sha256":"9d967013e14c7f911bf612ddab65b22a2e5f8d90f182926741c0bf7cab5076bc"},"source_occurrence_order":93,"source_path":"content/first-order-logic/natural-deduction/provability-consistency.tex","source_problem_id":"c80:OLP-0092:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":120,"sha256":"7c315feed657a249afb0f73283fb7e0750166404dcd9784aa27fb257800463a0"},"byte_end_exclusive":2436,"byte_start":2316,"end_line":82,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":79},"target_file":{"bytes":4052,"sha256":"86d6278f81fdfc0a96cdbc0f1e92e90d32e92afee5ac618ee1b7aa2da4ca130c"},"target_path":"locale/id/content/first-order-logic/natural-deduction/provability-consistency.tex"},"number":"10.5","physical_page":174,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=174","section_title_id":"Keterderivasian dan Konsistensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0092:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0092"},{"chapter":"main:10","component":"main","id":"c80:OLP-0095:problem:002:main-propositional","local_reader_url":"reader.pdf#page=174","mapping":{"canonical_section_label":"pl:ntd:sou:sec","canonical_section_value":["10.8","143","Kesahihan","section*.1011",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=174","combined_page":174,"destination":"probd*.1069","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0095","observed_import_path":"content/propositional-logic/../first-order-logic/natural-deduction/soundness.tex","occurrence_id":"c80:OLP-0095:problem:002:main-propositional","printed_number":"10.6","source":{"block":{"bytes":84,"sha256":"fb24644ba8ac5ce391b31b4564e4e0fbe37f1e4c89c8a6183272926aa26ac6bd"},"byte_end_exclusive":12450,"byte_start":12366,"end_line":288,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":286},"source_file":{"bytes":13330,"sha256":"e470b5e3a94dd4445dcedc0bbb2d4bb9c5520a3f79ea754f37e4ae1501376e35"},"source_occurrence_order":94,"source_path":"content/first-order-logic/natural-deduction/soundness.tex","source_problem_id":"c80:OLP-0095:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":80,"sha256":"9752f2babf97936d9e28ffd2a46e518be55c30b011a8b79dc5848cbf9f798bd2"},"byte_end_exclusive":12874,"byte_start":12794,"end_line":300,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":298},"target_file":{"bytes":13776,"sha256":"f80b84001385431cce1809dddb5093ad3e69c37d6a89e58243c30e9f7dd57cfd"},"target_path":"locale/id/content/first-order-logic/natural-deduction/soundness.tex"},"number":"10.6","physical_page":174,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=174","section_title_id":"Kesahihan","solution_state":"not_audited","source_problem_id":"c80:OLP-0095:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0095"},{"chapter":"main:11","component":"main","id":"c80:OLP-0103:problem:001:main-propositional","local_reader_url":"reader.pdf#page=192","mapping":{"canonical_section_label":"pl:tab:pro:sec","canonical_section_value":["11.4","151","Contoh \\usetoken {P}{tableau}","section*.1087",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=192","combined_page":192,"destination":"probd*.1183","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0103","observed_import_path":"content/propositional-logic/../first-order-logic/tableaux/proving-things.tex","occurrence_id":"c80:OLP-0103:problem:001:main-propositional","printed_number":"11.1","source":{"block":{"bytes":419,"sha256":"044fab701963c9605dac1ecbb063a7e0a1fe24ae69fe2c8d7f8faf61f33fc5ca"},"byte_end_exclusive":17006,"byte_start":16587,"end_line":426,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":418},"source_file":{"bytes":18685,"sha256":"ba6a2d3c2f7c7504daa17942290c75084bbfab92663a492557ca6530a175d914"},"source_occurrence_order":95,"source_path":"content/first-order-logic/tableaux/proving-things.tex","source_problem_id":"c80:OLP-0103:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":421,"sha256":"ebbc9803371a252b44f2f3acc4b7c8694f8391a9ba40582e1498ec6eefc8d710"},"byte_end_exclusive":16952,"byte_start":16531,"end_line":428,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":420},"target_file":{"bytes":18631,"sha256":"f79e9535dd985bf948ef84154dba9de10e33bc8baa585cd098a981a0ccbe13fe"},"target_path":"locale/id/content/first-order-logic/tableaux/proving-things.tex"},"number":"11.1","physical_page":192,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=192","section_title_id":"Contoh Tableau","solution_state":"not_audited","source_problem_id":"c80:OLP-0103:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0103"},{"chapter":"main:11","component":"main","id":"c80:OLP-0103:problem:002:main-propositional","local_reader_url":"reader.pdf#page=192","mapping":{"canonical_section_label":"pl:tab:pro:sec","canonical_section_value":["11.4","151","Contoh \\usetoken {P}{tableau}","section*.1087",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=192","combined_page":192,"destination":"probd*.1189","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0103","observed_import_path":"content/propositional-logic/../first-order-logic/tableaux/proving-things.tex","occurrence_id":"c80:OLP-0103:problem:002:main-propositional","printed_number":"11.2","source":{"block":{"bytes":974,"sha256":"3bce462687db84aeaf55d0c0f821e9bf359cd8158bef4ee2c224f8fa8c3aefe8"},"byte_end_exclusive":17984,"byte_start":17010,"end_line":444,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":428},"source_file":{"bytes":18685,"sha256":"ba6a2d3c2f7c7504daa17942290c75084bbfab92663a492557ca6530a175d914"},"source_occurrence_order":96,"source_path":"content/first-order-logic/tableaux/proving-things.tex","source_problem_id":"c80:OLP-0103:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":983,"sha256":"b204da31cc031b70aeea7d4f19b95e05ab6c4877248bfe5a538dd1da89173e89"},"byte_end_exclusive":17937,"byte_start":16954,"end_line":446,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":430},"target_file":{"bytes":18631,"sha256":"f79e9535dd985bf948ef84154dba9de10e33bc8baa585cd098a981a0ccbe13fe"},"target_path":"locale/id/content/first-order-logic/tableaux/proving-things.tex"},"number":"11.2","physical_page":192,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=192","section_title_id":"Contoh Tableau","solution_state":"not_audited","source_problem_id":"c80:OLP-0103:problem:002","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0103"},{"chapter":"main:11","component":"main","id":"c80:OLP-0103:problem:003:main-propositional","local_reader_url":"reader.pdf#page=193","mapping":{"canonical_section_label":"pl:tab:pro:sec","canonical_section_value":["11.4","151","Contoh \\usetoken {P}{tableau}","section*.1087",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=193","combined_page":193,"destination":"probd*.1203","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0103","observed_import_path":"content/propositional-logic/../first-order-logic/tableaux/proving-things.tex","occurrence_id":"c80:OLP-0103:problem:003:main-propositional","printed_number":"11.3","source":{"block":{"bytes":677,"sha256":"8c28ac70d0fae33e9ab0b21ebbcb3e16b8b176fc06af624936c4d6d0fc5d012f"},"byte_end_exclusive":18665,"byte_start":17988,"end_line":458,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":446},"source_file":{"bytes":18685,"sha256":"ba6a2d3c2f7c7504daa17942290c75084bbfab92663a492557ca6530a175d914"},"source_occurrence_order":97,"source_path":"content/first-order-logic/tableaux/proving-things.tex","source_problem_id":"c80:OLP-0103:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":675,"sha256":"a02753b05c0049a6dd8500c4e8c161fe4c1fda92b32ab9bed5eac82f8e821508"},"byte_end_exclusive":18614,"byte_start":17939,"end_line":460,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":448},"target_file":{"bytes":18631,"sha256":"f79e9535dd985bf948ef84154dba9de10e33bc8baa585cd098a981a0ccbe13fe"},"target_path":"locale/id/content/first-order-logic/tableaux/proving-things.tex"},"number":"11.3","physical_page":193,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=193","section_title_id":"Contoh Tableau","solution_state":"not_audited","source_problem_id":"c80:OLP-0103:problem:003","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0103"},{"chapter":"main:11","component":"main","id":"c80:OLP-0105:problem:002:main-propositional","local_reader_url":"reader.pdf#page=193","mapping":{"canonical_section_label":"pl:tab:ptn:sec","canonical_section_value":["11.5","155","Gagasan Teori-Bukti","section*.1094",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=193","combined_page":193,"destination":"probd*.1213","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0105","observed_import_path":"content/propositional-logic/../first-order-logic/tableaux/proof-theoretic-notions.tex","occurrence_id":"c80:OLP-0105:problem:002:main-propositional","printed_number":"11.4","source":{"block":{"bytes":65,"sha256":"3b46d3d94244cf3c768a5d07fe19e8c4fcec3881edd5d63aa2fbe029bbb65761"},"byte_end_exclusive":4680,"byte_start":4615,"end_line":159,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":157},"source_file":{"bytes":5711,"sha256":"bad25c1ba9db9de17f7c2ff5fffa2c4f9f00aa13d23c197e5337fe759d6fdd39"},"source_occurrence_order":98,"source_path":"content/first-order-logic/tableaux/proof-theoretic-notions.tex","source_problem_id":"c80:OLP-0105:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":67,"sha256":"345c7f887faf55114018931fefa26ba2abbf23f342e98ce78d6af1489bbf01f4"},"byte_end_exclusive":4928,"byte_start":4861,"end_line":165,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":163},"target_file":{"bytes":6047,"sha256":"30666351ff3c8a7b063d6c067d1e4fb9fde62b1ee8b9902e9043553167533f6c"},"target_path":"locale/id/content/first-order-logic/tableaux/proof-theoretic-notions.tex"},"number":"11.4","physical_page":193,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=193","section_title_id":"Gagasan Teori-Bukti","solution_state":"not_audited","source_problem_id":"c80:OLP-0105:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0105"},{"chapter":"main:11","component":"main","id":"c80:OLP-0106:problem:001:main-propositional","local_reader_url":"reader.pdf#page=193","mapping":{"canonical_section_label":"pl:tab:prv:sec","canonical_section_value":["11.6","157","\\usetoken {S}{derivability} dan Konsistensi","section*.1120",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=193","combined_page":193,"destination":"probd*.1215","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0106","observed_import_path":"content/propositional-logic/../first-order-logic/tableaux/provability-consistency.tex","occurrence_id":"c80:OLP-0106:problem:001:main-propositional","printed_number":"11.5","source":{"block":{"bytes":104,"sha256":"0955e30ee695af98659b6884ce8b1f612fd85f739bd4871827fa1cddf56201e3"},"byte_end_exclusive":2851,"byte_start":2747,"end_line":77,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":75},"source_file":{"bytes":6270,"sha256":"6d159d1c93f6b4bb24cf3d16e7f18096e15881679ef5f64db5b25cee57cccdef"},"source_occurrence_order":99,"source_path":"content/first-order-logic/tableaux/provability-consistency.tex","source_problem_id":"c80:OLP-0106:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":120,"sha256":"7c315feed657a249afb0f73283fb7e0750166404dcd9784aa27fb257800463a0"},"byte_end_exclusive":2943,"byte_start":2823,"end_line":81,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":78},"target_file":{"bytes":6363,"sha256":"bdc3328b70caee7c0f136cf32594d26af46cc3971230a0189756b50d804a425d"},"target_path":"locale/id/content/first-order-logic/tableaux/provability-consistency.tex"},"number":"11.5","physical_page":193,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=193","section_title_id":"Keterderivasian dan Konsistensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0106:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0106"},{"chapter":"main:11","component":"main","id":"c80:OLP-0109:problem:002:main-propositional","local_reader_url":"reader.pdf#page=193","mapping":{"canonical_section_label":"pl:tab:sou:sec","canonical_section_value":["11.8","161","Kesahihan","section*.1155",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=193","combined_page":193,"destination":"probd*.1217","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0109","observed_import_path":"content/propositional-logic/../first-order-logic/tableaux/soundness.tex","occurrence_id":"c80:OLP-0109:problem:002:main-propositional","printed_number":"11.6","source":{"block":{"bytes":92,"sha256":"44a0b84ed8f98ee5b955011e222bd3a255ffe43535787abae958186d1320366a"},"byte_end_exclusive":9748,"byte_start":9656,"end_line":201,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":199},"source_file":{"bytes":11066,"sha256":"49f119364f19485fa74c0c18e849f20b746e8edec9fdccb9e98a8aff7250a744"},"source_occurrence_order":100,"source_path":"content/first-order-logic/tableaux/soundness.tex","source_problem_id":"c80:OLP-0109:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":88,"sha256":"a78b310330e7971bbeadf018a75306ccd60096da129fe7372fb6d2716dc80c60"},"byte_end_exclusive":10481,"byte_start":10393,"end_line":217,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":215},"target_file":{"bytes":11862,"sha256":"57c4bec87ff1c14c1d93c790c823cbfa1208b14ec37c29e69921c4378c11efaa"},"target_path":"locale/id/content/first-order-logic/tableaux/soundness.tex"},"number":"11.6","physical_page":193,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=193","section_title_id":"Kesahihan","solution_state":"not_audited","source_problem_id":"c80:OLP-0109:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0109"},{"chapter":"main:12","component":"main","id":"c80:OLP-0116:problem:001:main-propositional","local_reader_url":"reader.pdf#page=204","mapping":{"canonical_section_label":"pl:axd:pro:sec","canonical_section_value":["12.3","167","Contoh \\usetoken {P}{derivation}","section*.1253",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=204","combined_page":204,"destination":"probd*.1355","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0116","observed_import_path":"content/propositional-logic/../first-order-logic/axiomatic-deduction/proving-things.tex","occurrence_id":"c80:OLP-0116:problem:001:main-propositional","printed_number":"12.1","source":{"block":{"bytes":285,"sha256":"45760a09394c5dd7fb690fb75590299f26a1262f61c7f7c6d6c534b21e422a65"},"byte_end_exclusive":5579,"byte_start":5294,"end_line":128,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":120},"source_file":{"bytes":5603,"sha256":"ac5dc1913eb14bc8d0ba0adb9d45d08b0882f02c4d7f152b654fc153f61fb1a7"},"source_occurrence_order":101,"source_path":"content/first-order-logic/axiomatic-deduction/proving-things.tex","source_problem_id":"c80:OLP-0116:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":308,"sha256":"64fc8fc2d3eb1a1b3f699f7514262142b29cdc47c5edcbc38b3bbe26f91602f2"},"byte_end_exclusive":5864,"byte_start":5556,"end_line":134,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":126},"target_file":{"bytes":5883,"sha256":"5c885977e1c8b31d2c7472951ba0c56294f11a51948d0471e19e18032e0255fb"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/proving-things.tex"},"number":"12.1","physical_page":204,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=204","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0116:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0116"},{"chapter":"main:12","component":"main","id":"c80:OLP-0118:problem:002:main-propositional","local_reader_url":"reader.pdf#page=204","mapping":{"canonical_section_label":"pl:axd:ptn:sec","canonical_section_value":["12.4","169","Gagasan Teori-Bukti","section*.1263",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=204","combined_page":204,"destination":"probd*.1360","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0118","observed_import_path":"content/propositional-logic/../first-order-logic/axiomatic-deduction/proof-theoretic-notions.tex","occurrence_id":"c80:OLP-0118:problem:002:main-propositional","printed_number":"12.2","source":{"block":{"bytes":66,"sha256":"8cad7e00049b8f141b34cacee637ab4d5211b22e29699b196b1bc93559d4c509"},"byte_end_exclusive":3420,"byte_start":3354,"end_line":109,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":107},"source_file":{"bytes":4402,"sha256":"d5cd7ef578090b935af9013ba65f020ea8c043b95ec17ed9a758a01129bbf859"},"source_occurrence_order":102,"source_path":"content/first-order-logic/axiomatic-deduction/proof-theoretic-notions.tex","source_problem_id":"c80:OLP-0118:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":67,"sha256":"f3f790d0073177741e1eb2578bba59ff748fdd0b0f4ab1cb130bd87d3ff53763"},"byte_end_exclusive":3629,"byte_start":3562,"end_line":114,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":112},"target_file":{"bytes":4681,"sha256":"0cde205089a80ce92a16b6396501e9686ad28d3e65f620586cc907918fced36f"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/proof-theoretic-notions.tex"},"number":"12.2","physical_page":204,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=204","section_title_id":"Gagasan Teori-Bukti","solution_state":"not_audited","source_problem_id":"c80:OLP-0118:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0118"},{"chapter":"main:12","component":"main","id":"c80:OLP-0119:problem:002:main-propositional","local_reader_url":"reader.pdf#page=204","mapping":{"canonical_section_label":"pl:axd:ded:sec","canonical_section_value":["12.5","170","Teorema Deduksi","section*.1289",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=204","combined_page":204,"destination":"probd*.1362","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0119","observed_import_path":"content/propositional-logic/../first-order-logic/axiomatic-deduction/deduction-theorem.tex","occurrence_id":"c80:OLP-0119:problem:002:main-propositional","printed_number":"12.3","source":{"block":{"bytes":71,"sha256":"82760ebb8af050a36fa8251a0fb91b8a08bc21b16ada6604051998922f6c0a4b"},"byte_end_exclusive":4826,"byte_start":4755,"end_line":129,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":127},"source_file":{"bytes":4859,"sha256":"f74129e7541a9452530ebc0ab630c8763cd0d4177532baf43cd249c635642cd4"},"source_occurrence_order":103,"source_path":"content/first-order-logic/axiomatic-deduction/deduction-theorem.tex","source_problem_id":"c80:OLP-0119:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":73,"sha256":"1720b2c88b316dfc2aec65ad638840499a2ba65ccff67a424f1cec8ff301340f"},"byte_end_exclusive":5174,"byte_start":5101,"end_line":137,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":135},"target_file":{"bytes":5203,"sha256":"102ce64d4034f6b914cc93b843e7c73c3354b0b8d3fba25a70be0ffa4b49b78b"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/deduction-theorem.tex"},"number":"12.3","physical_page":204,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=204","section_title_id":"Teorema Deduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0119:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0119"},{"chapter":"main:12","component":"main","id":"c80:OLP-0121:problem:001:main-propositional","local_reader_url":"reader.pdf#page=204","mapping":{"canonical_section_label":"pl:axd:prv:sec","canonical_section_value":["12.6","171","\\usetoken {S}{derivability} dan Konsistensi","section*.1303",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=204","combined_page":204,"destination":"probd*.1364","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0121","observed_import_path":"content/propositional-logic/../first-order-logic/axiomatic-deduction/provability-consistency.tex","occurrence_id":"c80:OLP-0121:problem:001:main-propositional","printed_number":"12.4","source":{"block":{"bytes":105,"sha256":"9a30b9f2143fe9c45a64979025282560d8ef19e93ed20ee5c8f89aa2037c8eeb"},"byte_end_exclusive":2177,"byte_start":2072,"end_line":58,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":55},"source_file":{"bytes":2979,"sha256":"069b652fa3cf1c8e7719ae95d355398b866c9ecf42ff747b755ddbf5fd3b6eef"},"source_occurrence_order":104,"source_path":"content/first-order-logic/axiomatic-deduction/provability-consistency.tex","source_problem_id":"c80:OLP-0121:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":120,"sha256":"7c315feed657a249afb0f73283fb7e0750166404dcd9784aa27fb257800463a0"},"byte_end_exclusive":2286,"byte_start":2166,"end_line":67,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":64},"target_file":{"bytes":3070,"sha256":"9a5f29d51ddc4b455c8ea911c67935363ec1c612d72301ffdd159161abcf38bc"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/provability-consistency.tex"},"number":"12.4","physical_page":204,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=204","section_title_id":"Keterderivasian dan Konsistensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0121:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0121"},{"chapter":"main:12","component":"main","id":"c80:OLP-0121:problem:003:main-propositional","local_reader_url":"reader.pdf#page=204","mapping":{"canonical_section_label":"pl:axd:prv:sec","canonical_section_value":["12.6","171","\\usetoken {S}{derivability} dan Konsistensi","section*.1303",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=204","combined_page":204,"destination":"probd*.1366","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0121","observed_import_path":"content/propositional-logic/../first-order-logic/axiomatic-deduction/provability-consistency.tex","occurrence_id":"c80:OLP-0121:problem:003:main-propositional","printed_number":"12.5","source":{"block":{"bytes":83,"sha256":"a8c4dc6ea4b8dd90ea005a19806f75a2427fe89cd112abf9165339adf829f3dd"},"byte_end_exclusive":2944,"byte_start":2861,"end_line":89,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":87},"source_file":{"bytes":2979,"sha256":"069b652fa3cf1c8e7719ae95d355398b866c9ecf42ff747b755ddbf5fd3b6eef"},"source_occurrence_order":105,"source_path":"content/first-order-logic/axiomatic-deduction/provability-consistency.tex","source_problem_id":"c80:OLP-0121:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":85,"sha256":"1c58e0181ce3ba684dc535db11e6abcc9898edf7e3190a35dab597bfe87b609c"},"byte_end_exclusive":3041,"byte_start":2956,"end_line":99,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":97},"target_file":{"bytes":3070,"sha256":"9a5f29d51ddc4b455c8ea911c67935363ec1c612d72301ffdd159161abcf38bc"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/provability-consistency.tex"},"number":"12.5","physical_page":204,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=204","section_title_id":"Keterderivasian dan Konsistensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0121:problem:003","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0121"},{"chapter":"main:13","component":"main","id":"c80:OLP-0129:problem:002:main-propositional","local_reader_url":"reader.pdf#page=214","mapping":{"canonical_section_label":"pl:com:ccs:sec","canonical_section_value":["13.3","177","Himpunan \\usetoken {P}{sentence} yang Lengkap dan Konsisten","section*.1370",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","combined_page":214,"destination":"probd*.1429","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0129","observed_import_path":"content/propositional-logic/../first-order-logic/completeness/complete-consistent-sets.tex","occurrence_id":"c80:OLP-0129:problem:002:main-propositional","printed_number":"13.1","source":{"block":{"bytes":79,"sha256":"59596e13fe7a4d56fc02edfff192efd390ee875f4688f0c236bb4a825e77c65d"},"byte_end_exclusive":9092,"byte_start":9013,"end_line":220,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":218},"source_file":{"bytes":9125,"sha256":"cf7d517de5d2d257492c66f2cf16347fce490f2d932681a3f6ebd2386e9b1ffd"},"source_occurrence_order":106,"source_path":"content/first-order-logic/completeness/complete-consistent-sets.tex","source_problem_id":"c80:OLP-0129:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":75,"sha256":"7567d61c87d718ca188af512b6a86a7e062fa5b21f2f6a1a444a98a97c9cadc8"},"byte_end_exclusive":9350,"byte_start":9275,"end_line":226,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":224},"target_file":{"bytes":9379,"sha256":"511b66430c9ccff411eeacd30e9145672a8b7a6bb49665138e8242be1d9874b9"},"target_path":"locale/id/content/first-order-logic/completeness/complete-consistent-sets.tex"},"number":"13.1","physical_page":214,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","section_title_id":"Himpunan Kalimat yang Lengkap dan Konsisten","solution_state":"not_audited","source_problem_id":"c80:OLP-0129:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0129"},{"chapter":"main:13","component":"main","id":"c80:OLP-0134:problem:002:main-propositional","local_reader_url":"reader.pdf#page=214","mapping":{"canonical_section_label":"pl:com:cth:sec","canonical_section_value":["13.6","180","Teorema Kelengkapan","section*.1401",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","combined_page":214,"destination":"probd*.1431","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0134","observed_import_path":"content/propositional-logic/../first-order-logic/completeness/completeness-thm.tex","occurrence_id":"c80:OLP-0134:problem:002:main-propositional","printed_number":"13.2","source":{"block":{"bytes":202,"sha256":"a19b40553ddd915c9dbc80cd3c2b8aa3dc2145a189d9056e0e2907097f430822"},"byte_end_exclusive":3553,"byte_start":3351,"end_line":96,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":92},"source_file":{"bytes":4768,"sha256":"5510644c6a3ff18e97d5e97a928d00cb0b091506e8c10bafa504c1b2c38b242b"},"source_occurrence_order":107,"source_path":"content/first-order-logic/completeness/completeness-thm.tex","source_problem_id":"c80:OLP-0134:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":209,"sha256":"17140d54e3882136a99679da49bd409c5ad6a73e631cad6f6e2d99331a02e3c6"},"byte_end_exclusive":3695,"byte_start":3486,"end_line":99,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":95},"target_file":{"bytes":5094,"sha256":"4b0bac6de38c3bff7964d7a6a3ddea772c3e89d3deb34728d9c670a85daf5390"},"target_path":"locale/id/content/first-order-logic/completeness/completeness-thm.tex"},"number":"13.2","physical_page":214,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","section_title_id":"Teorema Kelengkapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0134:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0134"},{"chapter":"main:13","component":"main","id":"c80:OLP-0134:problem:004:main-propositional","local_reader_url":"reader.pdf#page=214","mapping":{"canonical_section_label":"pl:com:cth:sec","canonical_section_value":["13.6","180","Teorema Kelengkapan","section*.1401",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","combined_page":214,"destination":"probd*.1433","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0134","observed_import_path":"content/propositional-logic/../first-order-logic/completeness/completeness-thm.tex","occurrence_id":"c80:OLP-0134:problem:004:main-propositional","printed_number":"13.3","source":{"block":{"bytes":557,"sha256":"e8c1a2904c1c5e9fb1ee41aeadbb1e11922b7e8c3317e76d2862379dad5c667a"},"byte_end_exclusive":4735,"byte_start":4178,"end_line":122,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":113},"source_file":{"bytes":4768,"sha256":"5510644c6a3ff18e97d5e97a928d00cb0b091506e8c10bafa504c1b2c38b242b"},"source_occurrence_order":108,"source_path":"content/first-order-logic/completeness/completeness-thm.tex","source_problem_id":"c80:OLP-0134:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":655,"sha256":"89265cc21c393d80e6d5b86e661a249d160d01676d563ba01731e2ddc229065c"},"byte_end_exclusive":5065,"byte_start":4410,"end_line":127,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":117},"target_file":{"bytes":5094,"sha256":"4b0bac6de38c3bff7964d7a6a3ddea772c3e89d3deb34728d9c670a85daf5390"},"target_path":"locale/id/content/first-order-logic/completeness/completeness-thm.tex"},"number":"13.3","physical_page":214,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","section_title_id":"Teorema Kelengkapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0134:problem:004","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0134"},{"chapter":"main:13","component":"main","id":"c80:OLP-0135:problem:002:main-propositional","local_reader_url":"reader.pdf#page=214","mapping":{"canonical_section_label":"pl:com:com:sec","canonical_section_value":["13.7","180","Teorema Kekompakan","section*.1408",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","combined_page":214,"destination":"probd*.1435","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0135","observed_import_path":"content/propositional-logic/../first-order-logic/completeness/compactness.tex","occurrence_id":"c80:OLP-0135:problem:002:main-propositional","printed_number":"13.4","source":{"block":{"bytes":77,"sha256":"b07c60e6a0b174c87637a79bd20d3f99c2e415e181496bc1a15f99afa5b165b2"},"byte_end_exclusive":3400,"byte_start":3323,"end_line":87,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":85},"source_file":{"bytes":9051,"sha256":"a872b7018576b26eb53179792e27b5b0af3338b5220712086e1be7d928b3d65c"},"source_occurrence_order":109,"source_path":"content/first-order-logic/completeness/compactness.tex","source_problem_id":"c80:OLP-0135:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":80,"sha256":"5e7c4b56df0f85c39d0316d5d166e356e80916faadcd3a89bd5c2904d76fc9a0"},"byte_end_exclusive":3802,"byte_start":3722,"end_line":95,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":93},"target_file":{"bytes":10238,"sha256":"f2fc3640457ef267ef280c20867bdd8531be3968cb2a6e826b7478afcd5b25dd"},"target_path":"locale/id/content/first-order-logic/completeness/compactness.tex"},"number":"13.4","physical_page":214,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","section_title_id":"Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0135:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0135"},{"chapter":"main:13","component":"main","id":"c80:OLP-0136:problem:002:main-propositional","local_reader_url":"reader.pdf#page=214","mapping":{"canonical_section_label":"pl:com:cpd:sec","canonical_section_value":["13.8","181","Pembuktian Langsung Teorema Kekompakan","section*.1416",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","combined_page":214,"destination":"probd*.1437","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0136","observed_import_path":"content/propositional-logic/../first-order-logic/completeness/compactness-direct.tex","occurrence_id":"c80:OLP-0136:problem:002:main-propositional","printed_number":"13.5","source":{"block":{"bytes":96,"sha256":"d678570304d6ee7e0c72a82404978d4349d7b1a25e56a13b907424dfbde11d60"},"byte_end_exclusive":1851,"byte_start":1755,"end_line":55,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":53},"source_file":{"bytes":5558,"sha256":"e6398fcc96ac7a2e787c5128d1b2dbf8f515dbd0e780004831abcfd0c3f327d8"},"source_occurrence_order":110,"source_path":"content/first-order-logic/completeness/compactness-direct.tex","source_problem_id":"c80:OLP-0136:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":99,"sha256":"ed230fe1cc18486081eb6d57edac36306df38b5b3b69aa3093f025ee0d965a7f"},"byte_end_exclusive":1968,"byte_start":1869,"end_line":58,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":55},"target_file":{"bytes":6005,"sha256":"fd3eb3eefc7ca9366e8bfb896ab48a2a61e81113c567d1818eb4a7ea2f495e9a"},"target_path":"locale/id/content/first-order-logic/completeness/compactness-direct.tex"},"number":"13.5","physical_page":214,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","section_title_id":"Pembuktian Langsung Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0136:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0136"},{"chapter":"main:13","component":"main","id":"c80:OLP-0136:problem:006:main-propositional","local_reader_url":"reader.pdf#page=214","mapping":{"canonical_section_label":"pl:com:cpd:sec","canonical_section_value":["13.8","181","Pembuktian Langsung Teorema Kekompakan","section*.1416",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","combined_page":214,"destination":"probd*.1439","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0136","observed_import_path":"content/propositional-logic/../first-order-logic/completeness/compactness-direct.tex","occurrence_id":"c80:OLP-0136:problem:006:main-propositional","printed_number":"13.6","source":{"block":{"bytes":254,"sha256":"9c01e05133da632e9ad12ec14dabcec02436cdc115c2dc701f3cf29757ac22f2"},"byte_end_exclusive":3576,"byte_start":3322,"end_line":112,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":6,"start_line":107},"source_file":{"bytes":5558,"sha256":"e6398fcc96ac7a2e787c5128d1b2dbf8f515dbd0e780004831abcfd0c3f327d8"},"source_occurrence_order":111,"source_path":"content/first-order-logic/completeness/compactness-direct.tex","source_problem_id":"c80:OLP-0136:problem:006","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":293,"sha256":"89f96388a2c033a36770d9666361b78b0d9f3d146e48d43778ec912a33e5183a"},"byte_end_exclusive":3917,"byte_start":3624,"end_line":117,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":6,"start_line":112},"target_file":{"bytes":6005,"sha256":"fd3eb3eefc7ca9366e8bfb896ab48a2a61e81113c567d1818eb4a7ea2f495e9a"},"target_path":"locale/id/content/first-order-logic/completeness/compactness-direct.tex"},"number":"13.6","physical_page":214,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","section_title_id":"Pembuktian Langsung Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0136:problem:006","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0136"},{"chapter":"main:13","component":"main","id":"c80:OLP-0136:problem:008:main-propositional","local_reader_url":"reader.pdf#page=214","mapping":{"canonical_section_label":"pl:com:cpd:sec","canonical_section_value":["13.8","181","Pembuktian Langsung Teorema Kekompakan","section*.1416",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","combined_page":214,"destination":"probd*.1441","exact_problem_labels":[],"fol_context":false,"native_unit_id":"OLP-0136","observed_import_path":"content/propositional-logic/../first-order-logic/completeness/compactness-direct.tex","occurrence_id":"c80:OLP-0136:problem:008:main-propositional","printed_number":"13.7","source":{"block":{"bytes":196,"sha256":"f46a11400c5c19bb5674645856356d4fa8183458dbb39c0ae867203110797473"},"byte_end_exclusive":5525,"byte_start":5329,"end_line":158,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":8,"start_line":154},"source_file":{"bytes":5558,"sha256":"e6398fcc96ac7a2e787c5128d1b2dbf8f515dbd0e780004831abcfd0c3f327d8"},"source_occurrence_order":112,"source_path":"content/first-order-logic/completeness/compactness-direct.tex","source_problem_id":"c80:OLP-0136:problem:008","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":190,"sha256":"9544bd97f181e051cc0062cff8540ab097f5ef8f32890d229de39cd0799febae"},"byte_end_exclusive":5976,"byte_start":5786,"end_line":167,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":8,"start_line":163},"target_file":{"bytes":6005,"sha256":"fd3eb3eefc7ca9366e8bfb896ab48a2a61e81113c567d1818eb4a7ea2f495e9a"},"target_path":"locale/id/content/first-order-logic/completeness/compactness-direct.tex"},"number":"13.7","physical_page":214,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=214","section_title_id":"Pembuktian Langsung Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0136:problem:008","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0136"},{"chapter":"main:15","component":"main","id":"c80:OLP-0152:problem:001:main-fol","local_reader_url":"reader.pdf#page=245","mapping":{"canonical_section_label":"fol:syn:frm:sec","canonical_section_value":["15.3","196","Suku dan \\printtoken {P}{formula}","section*.1493",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=245","combined_page":245,"destination":"probd*.1699","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0152","observed_import_path":"content/first-order-logic/syntax-and-semantics/terms-formulas.tex","occurrence_id":"c80:OLP-0152:problem:001:main-fol","printed_number":"15.1","source":{"block":{"bytes":70,"sha256":"db9b63fc4369bacc730c8a20a7e0c373276ecf721a01205545f0437794528321"},"byte_end_exclusive":8014,"byte_start":7944,"end_line":209,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":207},"source_file":{"bytes":9146,"sha256":"0b607ce2324ca66b23b164684f4f35b127107b903bbbd567eb25e94c2ce70210"},"source_occurrence_order":113,"source_path":"content/first-order-logic/syntax-and-semantics/terms-formulas.tex","source_problem_id":"c80:OLP-0152:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":71,"sha256":"b51deeb020d6fe153ba6ce73db2bf4b57b7f1001edff1ea7ffb9870062b88ad8"},"byte_end_exclusive":8428,"byte_start":8357,"end_line":211,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":209},"target_file":{"bytes":9668,"sha256":"56f2e81f01718dc932dc7ba8557b5743b6cc79ae3e12bf032ac8aace71e5ccc2"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/terms-formulas.tex"},"number":"15.1","physical_page":245,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=245","section_title_id":"Suku dan Formula","solution_state":"not_audited","source_problem_id":"c80:OLP-0152:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0152"},{"chapter":"main:15","component":"main","id":"c80:OLP-0153:problem:001:main-fol","local_reader_url":"reader.pdf#page=245","mapping":{"canonical_section_label":"fol:syn:unq:sec","canonical_section_value":["15.4","198","Keterbacaan Unik","section*.1530",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=245","combined_page":245,"destination":"probd*.1701","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0153","observed_import_path":"content/first-order-logic/syntax-and-semantics/unique-readability.tex","occurrence_id":"c80:OLP-0153:problem:001:main-fol","printed_number":"15.2","source":{"block":{"bytes":73,"sha256":"23f28ff276f4a77a3b8e584b33119d9a9faac059f552eabe0706df94fd1d3628"},"byte_end_exclusive":3188,"byte_start":3115,"end_line":74,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":72},"source_file":{"bytes":7867,"sha256":"f2ad2961312808ef6c8dedc884c9f8e00a2be9ef993cfb7be748a9d253d84e66"},"source_occurrence_order":114,"source_path":"content/first-order-logic/syntax-and-semantics/unique-readability.tex","source_problem_id":"c80:OLP-0153:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":80,"sha256":"04a90f809b61ca3e75e137ddeb3245280a9069d11ded47171773731f1d042c4c"},"byte_end_exclusive":3458,"byte_start":3378,"end_line":76,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":74},"target_file":{"bytes":8226,"sha256":"5bffef343bfb7d2c56e36af080d2ee3e0aaa4ea87fa61ce958ebb44da0aeb9a3"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/unique-readability.tex"},"number":"15.2","physical_page":245,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=245","section_title_id":"Keterbacaan Unik","solution_state":"not_audited","source_problem_id":"c80:OLP-0153:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0153"},{"chapter":"main:15","component":"main","id":"c80:OLP-0153:problem:002:main-fol","local_reader_url":"reader.pdf#page=245","mapping":{"canonical_section_label":"fol:syn:unq:sec","canonical_section_value":["15.4","198","Keterbacaan Unik","section*.1530",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=245","combined_page":245,"destination":"probd*.1703","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0153","observed_import_path":"content/first-order-logic/syntax-and-semantics/unique-readability.tex","occurrence_id":"c80:OLP-0153:problem:002:main-fol","printed_number":"15.3","source":{"block":{"bytes":69,"sha256":"0364b54db01b518dc98f6c7f1bdceec084a861993c58e797d17990b11de8f2fa"},"byte_end_exclusive":5042,"byte_start":4973,"end_line":129,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":127},"source_file":{"bytes":7867,"sha256":"f2ad2961312808ef6c8dedc884c9f8e00a2be9ef993cfb7be748a9d253d84e66"},"source_occurrence_order":115,"source_path":"content/first-order-logic/syntax-and-semantics/unique-readability.tex","source_problem_id":"c80:OLP-0153:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":70,"sha256":"567a2b94c6ac7687d08505bbdce7170c904d662647ad3266d865b92b1952c9fe"},"byte_end_exclusive":5358,"byte_start":5288,"end_line":132,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":130},"target_file":{"bytes":8226,"sha256":"5bffef343bfb7d2c56e36af080d2ee3e0aaa4ea87fa61ce958ebb44da0aeb9a3"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/unique-readability.tex"},"number":"15.3","physical_page":245,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=245","section_title_id":"Keterbacaan Unik","solution_state":"not_audited","source_problem_id":"c80:OLP-0153:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0153"},{"chapter":"main:15","component":"main","id":"c80:OLP-0153:problem:003:main-fol","local_reader_url":"reader.pdf#page=245","mapping":{"canonical_section_label":"fol:syn:unq:sec","canonical_section_value":["15.4","198","Keterbacaan Unik","section*.1530",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=245","combined_page":245,"destination":"probd*.1705","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0153","observed_import_path":"content/first-order-logic/syntax-and-semantics/unique-readability.tex","occurrence_id":"c80:OLP-0153:problem:003:main-fol","printed_number":"15.4","source":{"block":{"bytes":163,"sha256":"90383d88a5e559b2e139bbb2e47fee3f665f9ea4c8aea2725e74334d2ff938f7"},"byte_end_exclusive":5802,"byte_start":5639,"end_line":153,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":150},"source_file":{"bytes":7867,"sha256":"f2ad2961312808ef6c8dedc884c9f8e00a2be9ef993cfb7be748a9d253d84e66"},"source_occurrence_order":116,"source_path":"content/first-order-logic/syntax-and-semantics/unique-readability.tex","source_problem_id":"c80:OLP-0153:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":163,"sha256":"4cf1e5c83a30a7b3e2b794e9e5a7b3bd7d35f8193b85d98bfd265c60efb8ca41"},"byte_end_exclusive":6147,"byte_start":5984,"end_line":156,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":153},"target_file":{"bytes":8226,"sha256":"5bffef343bfb7d2c56e36af080d2ee3e0aaa4ea87fa61ce958ebb44da0aeb9a3"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/unique-readability.tex"},"number":"15.4","physical_page":245,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=245","section_title_id":"Keterbacaan Unik","solution_state":"not_audited","source_problem_id":"c80:OLP-0153:problem:003","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0153"},{"chapter":"main:15","component":"main","id":"c80:OLP-0155:problem:001:main-fol","local_reader_url":"reader.pdf#page=246","mapping":{"canonical_section_label":"fol:syn:sbf:sec","canonical_section_value":["15.6","201","\\printtoken {P}{subformula}","section*.1579",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","combined_page":246,"destination":"probd*.1707","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0155","observed_import_path":"content/first-order-logic/syntax-and-semantics/subformulas.tex","occurrence_id":"c80:OLP-0155:problem:001:main-fol","printed_number":"15.5","source":{"block":{"bytes":73,"sha256":"4da6c061666ecb1dd2687112977d7248521d1c38373760c680bfbe2f03774164"},"byte_end_exclusive":3814,"byte_start":3741,"end_line":99,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":97},"source_file":{"bytes":4078,"sha256":"4c43825e4c236e55d25092ff1f5b68ed38a3f1e9ae8ed12fc2e14f3a03fc6c77"},"source_occurrence_order":117,"source_path":"content/first-order-logic/syntax-and-semantics/subformulas.tex","source_problem_id":"c80:OLP-0155:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":74,"sha256":"4c21a2c197701ed81275e50dece713eb7b3e54fd0ba84ef4657e75451b1ece53"},"byte_end_exclusive":4038,"byte_start":3964,"end_line":101,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":99},"target_file":{"bytes":4306,"sha256":"94efc916c1448422d783ad000d60b28e418d0391c6957956a748659fb0e0e5f7"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/subformulas.tex"},"number":"15.5","physical_page":246,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","section_title_id":"Subformula","solution_state":"not_audited","source_problem_id":"c80:OLP-0155:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0155"},{"chapter":"main:15","component":"main","id":"c80:OLP-0155:problem:002:main-fol","local_reader_url":"reader.pdf#page=246","mapping":{"canonical_section_label":"fol:syn:sbf:sec","canonical_section_value":["15.6","201","\\printtoken {P}{subformula}","section*.1579",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","combined_page":246,"destination":"probd*.1709","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0155","observed_import_path":"content/first-order-logic/syntax-and-semantics/subformulas.tex","occurrence_id":"c80:OLP-0155:problem:002:main-fol","printed_number":"15.6","source":{"block":{"bytes":74,"sha256":"d1c49630d8447242a7784377b8bac0f46a8c88c9c66a6e96f15dc1d9bdab2c96"},"byte_end_exclusive":4058,"byte_start":3984,"end_line":109,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":107},"source_file":{"bytes":4078,"sha256":"4c43825e4c236e55d25092ff1f5b68ed38a3f1e9ae8ed12fc2e14f3a03fc6c77"},"source_occurrence_order":118,"source_path":"content/first-order-logic/syntax-and-semantics/subformulas.tex","source_problem_id":"c80:OLP-0155:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":75,"sha256":"71e1dfe14b4f206614728fe1d8b36d086ad486523c04faae807f63ea42578a86"},"byte_end_exclusive":4288,"byte_start":4213,"end_line":111,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":109},"target_file":{"bytes":4306,"sha256":"94efc916c1448422d783ad000d60b28e418d0391c6957956a748659fb0e0e5f7"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/subformulas.tex"},"number":"15.6","physical_page":246,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","section_title_id":"Subformula","solution_state":"not_audited","source_problem_id":"c80:OLP-0155:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0155"},{"chapter":"main:15","component":"main","id":"c80:OLP-0156:problem:001:main-fol","local_reader_url":"reader.pdf#page=246","mapping":{"canonical_section_label":"fol:syn:fseq:sec","canonical_section_value":["15.7","202","Barisan Pembentukan","section*.1600",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","combined_page":246,"destination":"probd*.1711","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0156","observed_import_path":"content/first-order-logic/syntax-and-semantics/formation-sequences.tex","occurrence_id":"c80:OLP-0156:problem:001:main-fol","printed_number":"15.7","source":{"block":{"bytes":70,"sha256":"04e5a81014cca1924a85a7565202c354534f9fcdee4d6f891f82b156aef50a48"},"byte_end_exclusive":6424,"byte_start":6354,"end_line":168,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":166},"source_file":{"bytes":10352,"sha256":"dc1735bb077f5086c6fd6e2f968591415a9cba90b65bc0a3d412742cc62bc6ff"},"source_occurrence_order":119,"source_path":"content/first-order-logic/syntax-and-semantics/formation-sequences.tex","source_problem_id":"c80:OLP-0156:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":71,"sha256":"8795791695406fa5dc0d1556ec048202b4124d023edda9fe585f7b3089fd8fa7"},"byte_end_exclusive":6559,"byte_start":6488,"end_line":168,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":166},"target_file":{"bytes":10825,"sha256":"7c19a366726bc2944dc1d8458eddfc2f9ac432e71a9d8a837e03e1703834c972"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/formation-sequences.tex"},"number":"15.7","physical_page":246,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","section_title_id":"Barisan Pembentukan","solution_state":"not_audited","source_problem_id":"c80:OLP-0156:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0156"},{"chapter":"main:15","component":"main","id":"c80:OLP-0156:problem:002:main-fol","local_reader_url":"reader.pdf#page=246","mapping":{"canonical_section_label":"fol:syn:fseq:sec","canonical_section_value":["15.7","202","Barisan Pembentukan","section*.1600",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","combined_page":246,"destination":"probd*.1713","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0156","observed_import_path":"content/first-order-logic/syntax-and-semantics/formation-sequences.tex","occurrence_id":"c80:OLP-0156:problem:002:main-fol","printed_number":"15.8","source":{"block":{"bytes":180,"sha256":"c7835e4540208f3e142afe9658f36c52109a86a7082c75cb05da70dab9196de5"},"byte_end_exclusive":8748,"byte_start":8568,"end_line":229,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":225},"source_file":{"bytes":10352,"sha256":"dc1735bb077f5086c6fd6e2f968591415a9cba90b65bc0a3d412742cc62bc6ff"},"source_occurrence_order":120,"source_path":"content/first-order-logic/syntax-and-semantics/formation-sequences.tex","source_problem_id":"c80:OLP-0156:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":188,"sha256":"fde5ed999312e0e9672953565a60babb9c6db1cbb842dfce54571fca3669651f"},"byte_end_exclusive":9125,"byte_start":8937,"end_line":227,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":223},"target_file":{"bytes":10825,"sha256":"7c19a366726bc2944dc1d8458eddfc2f9ac432e71a9d8a837e03e1703834c972"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/formation-sequences.tex"},"number":"15.8","physical_page":246,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","section_title_id":"Barisan Pembentukan","solution_state":"not_audited","source_problem_id":"c80:OLP-0156:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0156"},{"chapter":"main:15","component":"main","id":"c80:OLP-0156:problem:003:main-fol","local_reader_url":"reader.pdf#page=246","mapping":{"canonical_section_label":"fol:syn:fseq:sec","canonical_section_value":["15.7","202","Barisan Pembentukan","section*.1600",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","combined_page":246,"destination":"probd*.1715","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0156","observed_import_path":"content/first-order-logic/syntax-and-semantics/formation-sequences.tex","occurrence_id":"c80:OLP-0156:problem:003:main-fol","printed_number":"15.9","source":{"block":{"bytes":79,"sha256":"5e489844fb1a9ce5c859c2c8fbdcec34c394d3baf1b90ff739377804d1338c03"},"byte_end_exclusive":10087,"byte_start":10008,"end_line":269,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":267},"source_file":{"bytes":10352,"sha256":"dc1735bb077f5086c6fd6e2f968591415a9cba90b65bc0a3d412742cc62bc6ff"},"source_occurrence_order":121,"source_path":"content/first-order-logic/syntax-and-semantics/formation-sequences.tex","source_problem_id":"c80:OLP-0156:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":80,"sha256":"e8087d3d6980ee22467a46c1d477ebadaed0b28bf372a0264345c21852c5df26"},"byte_end_exclusive":10574,"byte_start":10494,"end_line":267,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":265},"target_file":{"bytes":10825,"sha256":"7c19a366726bc2944dc1d8458eddfc2f9ac432e71a9d8a837e03e1703834c972"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/formation-sequences.tex"},"number":"15.9","physical_page":246,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","section_title_id":"Barisan Pembentukan","solution_state":"not_audited","source_problem_id":"c80:OLP-0156:problem:003","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0156"},{"chapter":"main:15","component":"main","id":"c80:OLP-0157:problem:001:main-fol","local_reader_url":"reader.pdf#page=246","mapping":{"canonical_section_label":"fol:syn:fvs:sec","canonical_section_value":["15.8","206","\\printtoken {P}{variable} Bebas dan \\printtoken {P}{sentence}","section*.1655",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","combined_page":246,"destination":"probd*.1717","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0157","observed_import_path":"content/first-order-logic/syntax-and-semantics/free-vars-sentences.tex","occurrence_id":"c80:OLP-0157:problem:001:main-fol","printed_number":"15.10","source":{"block":{"bytes":146,"sha256":"f2f334fe3e856bb21c4774d88a986e0fa415fc9346bfb115cf1bf8efdbfd0573"},"byte_end_exclusive":1460,"byte_start":1314,"end_line":46,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":43},"source_file":{"bytes":3835,"sha256":"ea6bea6e587867742143e68dd69a2674fc1544ffaae27236ba1f517fe516bf1f"},"source_occurrence_order":122,"source_path":"content/first-order-logic/syntax-and-semantics/free-vars-sentences.tex","source_problem_id":"c80:OLP-0157:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":142,"sha256":"00d0ea7ade2ccbaf7798fa45545bc0d042992181dc86b1c5bc765d374c00e2e8"},"byte_end_exclusive":1507,"byte_start":1365,"end_line":46,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":43},"target_file":{"bytes":3917,"sha256":"1203b1fa75bba061ac7e92e496603bbb1b08c5c26182a0130cedc015f0c7f2ae"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/free-vars-sentences.tex"},"number":"15.10","physical_page":246,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=246","section_title_id":"Variabel Bebas dan Kalimat","solution_state":"not_audited","source_problem_id":"c80:OLP-0157:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0157"},{"chapter":"main:16","component":"main","id":"c80:OLP-0162:problem:001:main-fol","local_reader_url":"reader.pdf#page=262","mapping":{"canonical_section_label":"fol:syn:cov:sec","canonical_section_value":["16.3","211","\\printtoken {P}{structure} Tercakup untuk Bahasa Orde Pertama","section*.1739",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=262","combined_page":262,"destination":"probd*.1858","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0162","observed_import_path":"content/first-order-logic/syntax-and-semantics/covered-structures.tex","occurrence_id":"c80:OLP-0162:problem:001:main-fol","printed_number":"16.1","source":{"block":{"bytes":93,"sha256":"34cff4211f5446f3f3215b944154a57b19d83cd9b6bf8a69cdedb0743255bf4b"},"byte_end_exclusive":2698,"byte_start":2605,"end_line":70,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":68},"source_file":{"bytes":2718,"sha256":"47b8c3e2f2455d6fdefbf11157cae904e95c858545997fd9b22e7a2a8a1948d7"},"source_occurrence_order":123,"source_path":"content/first-order-logic/syntax-and-semantics/covered-structures.tex","source_problem_id":"c80:OLP-0162:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":89,"sha256":"62fe26a17dd6deb71761bf0e230da915858c51115f522bdac23873b6fb9ad3a5"},"byte_end_exclusive":2725,"byte_start":2636,"end_line":71,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":69},"target_file":{"bytes":2742,"sha256":"45bfc051d07a91c2d5bc4f03b080265ff092e243fd7b56ce235b47b7ee5b181b"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/covered-structures.tex"},"number":"16.1","physical_page":262,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=262","section_title_id":"Struktur Tercakup untuk Bahasa Orde Pertama","solution_state":"not_audited","source_problem_id":"c80:OLP-0162:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0162"},{"chapter":"main:16","component":"main","id":"c80:OLP-0163:problem:003:main-fol","local_reader_url":"reader.pdf#page=262","mapping":{"canonical_section_label":"fol:syn:sat:sec","canonical_section_value":["16.4","212","Keterpenuhan \\article {formula} \\printtoken {S}{formula} dalam \\article {structure} \\printtoken {S}{structure}","section*.1748",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=262","combined_page":262,"destination":"probd*.1860","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0163","observed_import_path":"content/first-order-logic/syntax-and-semantics/satisfaction.tex","occurrence_id":"c80:OLP-0163:problem:003:main-fol","printed_number":"16.2","source":{"block":{"bytes":723,"sha256":"3aa89d473aeef54265cafe73859b39752415047fd99790f903f97e521ceee349"},"byte_end_exclusive":17300,"byte_start":16577,"end_line":419,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":400},"source_file":{"bytes":17320,"sha256":"e44b0bea8c5d130077516bc8d757f46d4b337517aab77049841581313820fd32"},"source_occurrence_order":124,"source_path":"content/first-order-logic/syntax-and-semantics/satisfaction.tex","source_problem_id":"c80:OLP-0163:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":766,"sha256":"a15fe88d01bf6a1920263b9abb909b57e26135271c191e0fd9abe31c2384992c"},"byte_end_exclusive":18374,"byte_start":17608,"end_line":430,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":411},"target_file":{"bytes":18391,"sha256":"38a4d1b51e3406b30c68c0ac32f2be1189322331406958d97132feabd842ab00"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/satisfaction.tex"},"number":"16.2","physical_page":262,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=262","section_title_id":"Keterpenuhan  Formula dalam  Struktur","solution_state":"not_audited","source_problem_id":"c80:OLP-0163:problem:003","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0163"},{"chapter":"main:16","component":"main","id":"c80:OLP-0164:problem:001:main-fol","local_reader_url":"reader.pdf#page=263","mapping":{"canonical_section_label":"fol:syn:ass:sec","canonical_section_value":["16.5","216","Penugasan Variabel","section*.1780",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=263","combined_page":263,"destination":"probd*.1866","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0164","observed_import_path":"content/first-order-logic/syntax-and-semantics/assignments.tex","occurrence_id":"c80:OLP-0164:problem:001:main-fol","printed_number":"16.3","source":{"block":{"bytes":145,"sha256":"366d78af5eb7dd17a3b6d23d45bcdbb218c74daf70c8bf642a3788177574bc3a"},"byte_end_exclusive":8923,"byte_start":8778,"end_line":200,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":198},"source_file":{"bytes":14486,"sha256":"158d852e2ead50b060a48332cac8c72c475cfc206d3dab7aac24a01be3ff1771"},"source_occurrence_order":125,"source_path":"content/first-order-logic/syntax-and-semantics/assignments.tex","source_problem_id":"c80:OLP-0164:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":144,"sha256":"73e39ad92f099061ffa721adede4be990818a136c11cda823d9d63b1cec7b2cb"},"byte_end_exclusive":9383,"byte_start":9239,"end_line":209,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":207},"target_file":{"bytes":15562,"sha256":"808427c766665df2107766266569acb123ccf23bdd35f11a1744aede965fdaec"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/assignments.tex"},"number":"16.3","physical_page":263,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=263","section_title_id":"Penugasan Variabel","solution_state":"not_audited","source_problem_id":"c80:OLP-0164:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0164"},{"chapter":"main:16","component":"main","id":"c80:OLP-0164:problem:002:main-fol","local_reader_url":"reader.pdf#page=263","mapping":{"canonical_section_label":"fol:syn:ass:sec","canonical_section_value":["16.5","216","Penugasan Variabel","section*.1780",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=263","combined_page":263,"destination":"probd*.1868","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0164","observed_import_path":"content/first-order-logic/syntax-and-semantics/assignments.tex","occurrence_id":"c80:OLP-0164:problem:002:main-fol","printed_number":"16.4","source":{"block":{"bytes":77,"sha256":"f6ecce4a0f8b14a9a1f50c049f3df867d6c0177f2706499d77bf3a1d61bb8bd2"},"byte_end_exclusive":10949,"byte_start":10872,"end_line":257,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":255},"source_file":{"bytes":14486,"sha256":"158d852e2ead50b060a48332cac8c72c475cfc206d3dab7aac24a01be3ff1771"},"source_occurrence_order":126,"source_path":"content/first-order-logic/syntax-and-semantics/assignments.tex","source_problem_id":"c80:OLP-0164:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":78,"sha256":"c08afa664a6a925bf471e8a51ccf61ac1eafa08128f7451a885e72f62f3a278d"},"byte_end_exclusive":11646,"byte_start":11568,"end_line":269,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":267},"target_file":{"bytes":15562,"sha256":"808427c766665df2107766266569acb123ccf23bdd35f11a1744aede965fdaec"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/assignments.tex"},"number":"16.4","physical_page":263,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=263","section_title_id":"Penugasan Variabel","solution_state":"not_audited","source_problem_id":"c80:OLP-0164:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0164"},{"chapter":"main:16","component":"main","id":"c80:OLP-0164:problem:003:main-fol","local_reader_url":"reader.pdf#page=263","mapping":{"canonical_section_label":"fol:syn:ass:sec","canonical_section_value":["16.5","216","Penugasan Variabel","section*.1780",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=263","combined_page":263,"destination":"probd*.1870","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0164","observed_import_path":"content/first-order-logic/syntax-and-semantics/assignments.tex","occurrence_id":"c80:OLP-0164:problem:003:main-fol","printed_number":"16.5","source":{"block":{"bytes":70,"sha256":"bea4db6ba67e6ae6fff4ddf03a1bbabef11689d1c3d160decde6bccee3f965c6"},"byte_end_exclusive":11504,"byte_start":11434,"end_line":276,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":274},"source_file":{"bytes":14486,"sha256":"158d852e2ead50b060a48332cac8c72c475cfc206d3dab7aac24a01be3ff1771"},"source_occurrence_order":127,"source_path":"content/first-order-logic/syntax-and-semantics/assignments.tex","source_problem_id":"c80:OLP-0164:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":71,"sha256":"8cca3c1b1f4643edcd8f0c6097bad2137a83f38642d1415af620222f2acab1a8"},"byte_end_exclusive":12239,"byte_start":12168,"end_line":288,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":286},"target_file":{"bytes":15562,"sha256":"808427c766665df2107766266569acb123ccf23bdd35f11a1744aede965fdaec"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/assignments.tex"},"number":"16.5","physical_page":263,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=263","section_title_id":"Penugasan Variabel","solution_state":"not_audited","source_problem_id":"c80:OLP-0164:problem:003","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0164"},{"chapter":"main:16","component":"main","id":"c80:OLP-0164:problem:004:main-fol","local_reader_url":"reader.pdf#page=263","mapping":{"canonical_section_label":"fol:syn:ass:sec","canonical_section_value":["16.5","216","Penugasan Variabel","section*.1780",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=263","combined_page":263,"destination":"probd*.1872","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0164","observed_import_path":"content/first-order-logic/syntax-and-semantics/assignments.tex","occurrence_id":"c80:OLP-0164:problem:004:main-fol","printed_number":"16.6","source":{"block":{"bytes":2513,"sha256":"eb974a4c417ecac2334f12d687059ac2ecc20a382ef7d019660a2d2e6ef15466"},"byte_end_exclusive":14021,"byte_start":11508,"end_line":340,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":4,"start_line":278},"source_file":{"bytes":14486,"sha256":"158d852e2ead50b060a48332cac8c72c475cfc206d3dab7aac24a01be3ff1771"},"source_occurrence_order":128,"source_path":"content/first-order-logic/syntax-and-semantics/assignments.tex","source_problem_id":"c80:OLP-0164:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":2791,"sha256":"5faae167a13e8a7516b8fd93ca631468ef8d53eab676859fca82fd5f71256002"},"byte_end_exclusive":15032,"byte_start":12241,"end_line":359,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":4,"start_line":290},"target_file":{"bytes":15562,"sha256":"808427c766665df2107766266569acb123ccf23bdd35f11a1744aede965fdaec"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/assignments.tex"},"number":"16.6","physical_page":263,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=263","section_title_id":"Penugasan Variabel","solution_state":"not_audited","source_problem_id":"c80:OLP-0164:problem:004","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0164"},{"chapter":"main:16","component":"main","id":"c80:OLP-0164:problem:005:main-fol","local_reader_url":"reader.pdf#page=264","mapping":{"canonical_section_label":"fol:syn:ass:sec","canonical_section_value":["16.5","216","Penugasan Variabel","section*.1780",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=264","combined_page":264,"destination":"probd*.1885","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0164","observed_import_path":"content/first-order-logic/syntax-and-semantics/assignments.tex","occurrence_id":"c80:OLP-0164:problem:005:main-fol","printed_number":"16.7","source":{"block":{"bytes":441,"sha256":"af1e5d9a8542150d595b5fe73ab6c7d2161e2444f0c5e85c81e358c403c3ee75"},"byte_end_exclusive":14466,"byte_start":14025,"end_line":351,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":342},"source_file":{"bytes":14486,"sha256":"158d852e2ead50b060a48332cac8c72c475cfc206d3dab7aac24a01be3ff1771"},"source_occurrence_order":129,"source_path":"content/first-order-logic/syntax-and-semantics/assignments.tex","source_problem_id":"c80:OLP-0164:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":511,"sha256":"f40b37b9ad46a142dc9719d8091635c4fbbfe0d1a556bd37caa95acc098e00a4"},"byte_end_exclusive":15545,"byte_start":15034,"end_line":371,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":361},"target_file":{"bytes":15562,"sha256":"808427c766665df2107766266569acb123ccf23bdd35f11a1744aede965fdaec"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/assignments.tex"},"number":"16.7","physical_page":264,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=264","section_title_id":"Penugasan Variabel","solution_state":"not_audited","source_problem_id":"c80:OLP-0164:problem:005","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0164"},{"chapter":"main:16","component":"main","id":"c80:OLP-0165:problem:001:main-fol","local_reader_url":"reader.pdf#page=264","mapping":{"canonical_section_label":"fol:syn:ext:sec","canonical_section_value":["16.6","219","Ekstensionalitas","section*.1813",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=264","combined_page":264,"destination":"probd*.1887","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0165","observed_import_path":"content/first-order-logic/syntax-and-semantics/extensionality.tex","occurrence_id":"c80:OLP-0165:problem:001:main-fol","printed_number":"16.8","source":{"block":{"bytes":103,"sha256":"1e76cb8c8fdf65d6ac8a250712c81e77bf8f28951d543340998c02872c07915b"},"byte_end_exclusive":1836,"byte_start":1733,"end_line":49,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":46},"source_file":{"bytes":5350,"sha256":"b96be00c844c1a06be3dc8c18e237fdb595ed60b18462b01bca43e6886d1da4d"},"source_occurrence_order":130,"source_path":"content/first-order-logic/syntax-and-semantics/extensionality.tex","source_problem_id":"c80:OLP-0165:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":107,"sha256":"b5fdc6b02e82f98b9c00790df5c48ca0c2e722cbaacd2937ae7c0fe8eb5902ea"},"byte_end_exclusive":1965,"byte_start":1858,"end_line":50,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"target_file":{"bytes":5670,"sha256":"71dc6cec748ff3d6365144e240f1b2d0d30d96a3937d64d86b3ee959466c2203"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/extensionality.tex"},"number":"16.8","physical_page":264,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=264","section_title_id":"Ekstensionalitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0165:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0165"},{"chapter":"main:16","component":"main","id":"c80:OLP-0165:problem:002:main-fol","local_reader_url":"reader.pdf#page=264","mapping":{"canonical_section_label":"fol:syn:ext:sec","canonical_section_value":["16.6","219","Ekstensionalitas","section*.1813",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=264","combined_page":264,"destination":"probd*.1889","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0165","observed_import_path":"content/first-order-logic/syntax-and-semantics/extensionality.tex","occurrence_id":"c80:OLP-0165:problem:002:main-fol","printed_number":"16.9","source":{"block":{"bytes":72,"sha256":"a921eb6e5d4c0fe7ffc0b163bb67526fe35539e44a9dc12294346315e3f6ec94"},"byte_end_exclusive":4380,"byte_start":4308,"end_line":117,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":115},"source_file":{"bytes":5350,"sha256":"b96be00c844c1a06be3dc8c18e237fdb595ed60b18462b01bca43e6886d1da4d"},"source_occurrence_order":131,"source_path":"content/first-order-logic/syntax-and-semantics/extensionality.tex","source_problem_id":"c80:OLP-0165:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":73,"sha256":"d692c1adae7e05f3aba1fb4876c1189d558e43663e3493c41cafceddbaafd0c1"},"byte_end_exclusive":4640,"byte_start":4567,"end_line":121,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":119},"target_file":{"bytes":5670,"sha256":"71dc6cec748ff3d6365144e240f1b2d0d30d96a3937d64d86b3ee959466c2203"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/extensionality.tex"},"number":"16.9","physical_page":264,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=264","section_title_id":"Ekstensionalitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0165:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0165"},{"chapter":"main:16","component":"main","id":"c80:OLP-0166:problem:001:main-fol","local_reader_url":"reader.pdf#page=264","mapping":{"canonical_section_label":"fol:syn:sem:sec","canonical_section_value":["16.7","220","Gagasan Semantis","section*.1830",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=264","combined_page":264,"destination":"probd*.1891","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0166","observed_import_path":"content/first-order-logic/syntax-and-semantics/semantic-notions.tex","occurrence_id":"c80:OLP-0166:problem:001:main-fol","printed_number":"16.10","source":{"block":{"bytes":361,"sha256":"0046428690a4892508d5277e0df91d84bd7af0242207932880ed9523e8f131c8"},"byte_end_exclusive":3524,"byte_start":3163,"end_line":90,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":82},"source_file":{"bytes":6179,"sha256":"8b8740c064a3a876ff0cdf5dacd51bb8d3bbba87256fe49180de5f7c80fe08dd"},"source_occurrence_order":132,"source_path":"content/first-order-logic/syntax-and-semantics/semantic-notions.tex","source_problem_id":"c80:OLP-0166:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":484,"sha256":"bb64f9a672aa39f417d25239a677c62578843202bdd9b989d5d149c53ef04f58"},"byte_end_exclusive":3837,"byte_start":3353,"end_line":97,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":86},"target_file":{"bytes":6691,"sha256":"0c44c2f78686776ff359618bdee857c21854501c1bbb6f63992ecbc9e66ba370"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/semantic-notions.tex"},"number":"16.10","physical_page":264,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=264","section_title_id":"Gagasan Semantis","solution_state":"not_audited","source_problem_id":"c80:OLP-0166:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0166"},{"chapter":"main:16","component":"main","id":"c80:OLP-0166:problem:002:main-fol","local_reader_url":"reader.pdf#page=264","mapping":{"canonical_section_label":"fol:syn:sem:sec","canonical_section_value":["16.7","220","Gagasan Semantis","section*.1830",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=264","combined_page":264,"destination":"probd*.1896","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0166","observed_import_path":"content/first-order-logic/syntax-and-semantics/semantic-notions.tex","occurrence_id":"c80:OLP-0166:problem:002:main-fol","printed_number":"16.11","source":{"block":{"bytes":112,"sha256":"6b98163fa027bfb2353e8da5177e24991f4d932ba128ee04f5a3e953d4c93fbe"},"byte_end_exclusive":6158,"byte_start":6046,"end_line":155,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":153},"source_file":{"bytes":6179,"sha256":"8b8740c064a3a876ff0cdf5dacd51bb8d3bbba87256fe49180de5f7c80fe08dd"},"source_occurrence_order":133,"source_path":"content/first-order-logic/syntax-and-semantics/semantic-notions.tex","source_problem_id":"c80:OLP-0166:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":111,"sha256":"1eac8472ab1b15adbe187027825336452035eef35fdc955b945b59f3ca87cc7e"},"byte_end_exclusive":6674,"byte_start":6563,"end_line":168,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":166},"target_file":{"bytes":6691,"sha256":"0c44c2f78686776ff359618bdee857c21854501c1bbb6f63992ecbc9e66ba370"},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/semantic-notions.tex"},"number":"16.11","physical_page":264,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=264","section_title_id":"Gagasan Semantis","solution_state":"not_audited","source_problem_id":"c80:OLP-0166:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0166"},{"chapter":"main:17","component":"main","id":"c80:OLP-0171:problem:001:main-fol","local_reader_url":"reader.pdf#page=276","mapping":{"canonical_section_label":"fol:mat:exr:sec","canonical_section_value":["17.4","228","Mengungkapkan Relasi dalam \\article {structure} \\printtoken {S}{structure}","section*.1923",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=276","combined_page":276,"destination":"probd*.1938","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0171","observed_import_path":"content/first-order-logic/models-theories/expressing-relations.tex","occurrence_id":"c80:OLP-0171:problem:001:main-fol","printed_number":"17.1","source":{"block":{"bytes":324,"sha256":"51005f6115efd3a37007d9f2d79f695c683bff905f5fcf1d13fe90f28d79d097"},"byte_end_exclusive":3884,"byte_start":3560,"end_line":88,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":80},"source_file":{"bytes":5120,"sha256":"4463b194f95a1e7649f0ee833e2851273e78e760d9db32f67f925c8d551daa7d"},"source_occurrence_order":134,"source_path":"content/first-order-logic/models-theories/expressing-relations.tex","source_problem_id":"c80:OLP-0171:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":353,"sha256":"5ba19d92d60a947bfccb6408a4f9a665cdc8f25ccc85244ecf258b2657e29d9b"},"byte_end_exclusive":4173,"byte_start":3820,"end_line":90,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":81},"target_file":{"bytes":5510,"sha256":"300f6d199e4750c6d1aaab65c0db9c014c5cf6476807a9ed586c67412ca94519"},"target_path":"locale/id/content/first-order-logic/models-theories/expressing-relations.tex"},"number":"17.1","physical_page":276,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=276","section_title_id":"Mengungkapkan Relasi dalam  Struktur","solution_state":"not_audited","source_problem_id":"c80:OLP-0171:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0171"},{"chapter":"main:17","component":"main","id":"c80:OLP-0171:problem:002:main-fol","local_reader_url":"reader.pdf#page=276","mapping":{"canonical_section_label":"fol:mat:exr:sec","canonical_section_value":["17.4","228","Mengungkapkan Relasi dalam \\article {structure} \\printtoken {S}{structure}","section*.1923",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=276","combined_page":276,"destination":"probd*.1943","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0171","observed_import_path":"content/first-order-logic/models-theories/expressing-relations.tex","occurrence_id":"c80:OLP-0171:problem:002:main-fol","printed_number":"17.2","source":{"block":{"bytes":386,"sha256":"b02389dc96f5b1f3df04e0d36ec717e731ef28a7cb02c351d3a98b9dd8194e9f"},"byte_end_exclusive":4274,"byte_start":3888,"end_line":99,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":90},"source_file":{"bytes":5120,"sha256":"4463b194f95a1e7649f0ee833e2851273e78e760d9db32f67f925c8d551daa7d"},"source_occurrence_order":135,"source_path":"content/first-order-logic/models-theories/expressing-relations.tex","source_problem_id":"c80:OLP-0171:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":393,"sha256":"ecdda9d5c93027b8016eb8d6d48fc548576bf7350edba334eab0ff8bae198070"},"byte_end_exclusive":4568,"byte_start":4175,"end_line":102,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":92},"target_file":{"bytes":5510,"sha256":"300f6d199e4750c6d1aaab65c0db9c014c5cf6476807a9ed586c67412ca94519"},"target_path":"locale/id/content/first-order-logic/models-theories/expressing-relations.tex"},"number":"17.2","physical_page":276,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=276","section_title_id":"Mengungkapkan Relasi dalam  Struktur","solution_state":"not_audited","source_problem_id":"c80:OLP-0171:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0171"},{"chapter":"main:17","component":"main","id":"c80:OLP-0171:problem:003:main-fol","local_reader_url":"reader.pdf#page=276","mapping":{"canonical_section_label":"fol:mat:exr:sec","canonical_section_value":["17.4","228","Mengungkapkan Relasi dalam \\article {structure} \\printtoken {S}{structure}","section*.1923",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=276","combined_page":276,"destination":"probd*.1947","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0171","observed_import_path":"content/first-order-logic/models-theories/expressing-relations.tex","occurrence_id":"c80:OLP-0171:problem:003:main-fol","printed_number":"17.3","source":{"block":{"bytes":820,"sha256":"adb18339288665b786f2898f7ff3d8153f380c77da636eee42532fb8ab7b7349"},"byte_end_exclusive":5098,"byte_start":4278,"end_line":119,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":101},"source_file":{"bytes":5120,"sha256":"4463b194f95a1e7649f0ee833e2851273e78e760d9db32f67f925c8d551daa7d"},"source_occurrence_order":136,"source_path":"content/first-order-logic/models-theories/expressing-relations.tex","source_problem_id":"c80:OLP-0171:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":922,"sha256":"c93511ef23162a23fdf816ac1276a2b0e0e7eefcc1075aae4523d6176ce5f5c3"},"byte_end_exclusive":5492,"byte_start":4570,"end_line":122,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":104},"target_file":{"bytes":5510,"sha256":"300f6d199e4750c6d1aaab65c0db9c014c5cf6476807a9ed586c67412ca94519"},"target_path":"locale/id/content/first-order-logic/models-theories/expressing-relations.tex"},"number":"17.3","physical_page":276,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=276","section_title_id":"Mengungkapkan Relasi dalam  Struktur","solution_state":"not_audited","source_problem_id":"c80:OLP-0171:problem:003","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0171"},{"chapter":"main:17","component":"main","id":"c80:OLP-0172:problem:001:main-fol","local_reader_url":"reader.pdf#page=276","mapping":{"canonical_section_label":"fol:mat:set:sec","canonical_section_value":["17.5","229","Teori Himpunan","section*.1928",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=276","combined_page":276,"destination":"probd*.1955","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0172","observed_import_path":"content/first-order-logic/models-theories/set-theory.tex","occurrence_id":"c80:OLP-0172:problem:001:main-fol","printed_number":"17.4","source":{"block":{"bytes":283,"sha256":"24a67368b04a2725876a549d8713acbdfcc6b0fb59191e11432164dd17afc082"},"byte_end_exclusive":8472,"byte_start":8189,"end_line":181,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":173},"source_file":{"bytes":8490,"sha256":"c252116bc14449400e362e11e002d865f58e59177215cab085ceaec7ae9d2aa3"},"source_occurrence_order":137,"source_path":"content/first-order-logic/models-theories/set-theory.tex","source_problem_id":"c80:OLP-0172:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":321,"sha256":"92f220550ea48c2c42b6c4f5f4ae9ddef049f89b57922dd74175d12c4c3d1236"},"byte_end_exclusive":9227,"byte_start":8906,"end_line":186,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":178},"target_file":{"bytes":9243,"sha256":"be3c755f6c74775c117c7f68c07c74dbd37202b23b08e72170cf03a0d0c69c64"},"target_path":"locale/id/content/first-order-logic/models-theories/set-theory.tex"},"number":"17.4","physical_page":276,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=276","section_title_id":"Teori Himpunan","solution_state":"not_audited","source_problem_id":"c80:OLP-0172:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0172"},{"chapter":"main:19","component":"main","id":"c80:OLP-0075:problem:001:main-fol","local_reader_url":"reader.pdf#page=308","mapping":{"canonical_section_label":"fol:seq:pro:sec","canonical_section_value":["19.6","245","Contoh \\usetoken {P}{derivation}","section*.1997",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=308","combined_page":308,"destination":"probd*.2123","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0075","observed_import_path":"content/first-order-logic/sequent-calculus/proving-things.tex","occurrence_id":"c80:OLP-0075:problem:001:main-fol","printed_number":"19.1","source":{"block":{"bytes":332,"sha256":"22d15e7e411091c85aec0df1759fa1f00f0c694449ecadf2ff2d7804cdb1b7b7"},"byte_end_exclusive":11370,"byte_start":11038,"end_line":308,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":300},"source_file":{"bytes":12749,"sha256":"73fa9c16dcbd072ac535c251fa02fc78640b82381d57162817043a6ad578b18e"},"source_occurrence_order":138,"source_path":"content/first-order-logic/sequent-calculus/proving-things.tex","source_problem_id":"c80:OLP-0075:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":329,"sha256":"93a944ed3bdec1baa651c6eae11159c525634807fe48ec805d85b208bfc3879c"},"byte_end_exclusive":11416,"byte_start":11087,"end_line":310,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":302},"target_file":{"bytes":12778,"sha256":"897a12b7bc254b1324e1e7ec938f697e6643c91124540d7f0216ca22c1e7a466"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/proving-things.tex"},"number":"19.1","physical_page":308,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=308","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0075:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0075"},{"chapter":"main:19","component":"main","id":"c80:OLP-0075:problem:002:main-fol","local_reader_url":"reader.pdf#page=308","mapping":{"canonical_section_label":"fol:seq:pro:sec","canonical_section_value":["19.6","245","Contoh \\usetoken {P}{derivation}","section*.1997",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=308","combined_page":308,"destination":"probd*.2129","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0075","observed_import_path":"content/first-order-logic/sequent-calculus/proving-things.tex","occurrence_id":"c80:OLP-0075:problem:002:main-fol","printed_number":"19.2","source":{"block":{"bytes":783,"sha256":"31bf16fcd03b2211d4d275ce3188e4f796b2019d1ac1574e8a21a89c76c37341"},"byte_end_exclusive":12157,"byte_start":11374,"end_line":326,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":310},"source_file":{"bytes":12749,"sha256":"73fa9c16dcbd072ac535c251fa02fc78640b82381d57162817043a6ad578b18e"},"source_occurrence_order":139,"source_path":"content/first-order-logic/sequent-calculus/proving-things.tex","source_problem_id":"c80:OLP-0075:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":772,"sha256":"0e4895f96afccd1769c48dd9888bbbf1c690992fdede861fab92327a5f07836d"},"byte_end_exclusive":12190,"byte_start":11418,"end_line":328,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":312},"target_file":{"bytes":12778,"sha256":"897a12b7bc254b1324e1e7ec938f697e6643c91124540d7f0216ca22c1e7a466"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/proving-things.tex"},"number":"19.2","physical_page":308,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=308","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0075:problem:002","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0075"},{"chapter":"main:19","component":"main","id":"c80:OLP-0075:problem:003:main-fol","local_reader_url":"reader.pdf#page=309","mapping":{"canonical_section_label":"fol:seq:pro:sec","canonical_section_value":["19.6","245","Contoh \\usetoken {P}{derivation}","section*.1997",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=309","combined_page":309,"destination":"probd*.2143","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0075","observed_import_path":"content/first-order-logic/sequent-calculus/proving-things.tex","occurrence_id":"c80:OLP-0075:problem:003:main-fol","printed_number":"19.3","source":{"block":{"bytes":570,"sha256":"f862e0898dd7968f871258eabcd3d4720b9ab8f60f18e054d8855c6432db13b6"},"byte_end_exclusive":12731,"byte_start":12161,"end_line":341,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":328},"source_file":{"bytes":12749,"sha256":"73fa9c16dcbd072ac535c251fa02fc78640b82381d57162817043a6ad578b18e"},"source_occurrence_order":140,"source_path":"content/first-order-logic/sequent-calculus/proving-things.tex","source_problem_id":"c80:OLP-0075:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":570,"sha256":"aa248ffb9a7068a055140a8dbb1901983b073f14d1b3498582ec6bfa71839da9"},"byte_end_exclusive":12762,"byte_start":12192,"end_line":343,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":330},"target_file":{"bytes":12778,"sha256":"897a12b7bc254b1324e1e7ec938f697e6643c91124540d7f0216ca22c1e7a466"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/proving-things.tex"},"number":"19.3","physical_page":309,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=309","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0075:problem:003","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0075"},{"chapter":"main:19","component":"main","id":"c80:OLP-0076:problem:001:main-fol","local_reader_url":"reader.pdf#page=309","mapping":{"canonical_section_label":"fol:seq:prq:sec","canonical_section_value":["19.7","248","\\usetoken {P}{derivation} dengan Kuantor","section*.2006",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=309","combined_page":309,"destination":"probd*.2153","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0076","observed_import_path":"content/first-order-logic/sequent-calculus/proving-things-quant.tex","occurrence_id":"c80:OLP-0076:problem:001:main-fol","printed_number":"19.4","source":{"block":{"bytes":648,"sha256":"26e28497fdf56f420846b4d8a10858a413481f125eac353d308af5d894c27c84"},"byte_end_exclusive":4211,"byte_start":3563,"end_line":98,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":85},"source_file":{"bytes":4612,"sha256":"9c249f76aa00ddc5b64b68179b052d7df7e7ffa69be413de20796d98bd80389d"},"source_occurrence_order":141,"source_path":"content/first-order-logic/sequent-calculus/proving-things-quant.tex","source_problem_id":"c80:OLP-0076:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":640,"sha256":"1a7cd0c439551e9a9b2fd787a85d4068e9007378b43ea9be03e4b9a0b3617035"},"byte_end_exclusive":4194,"byte_start":3554,"end_line":97,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":84},"target_file":{"bytes":4595,"sha256":"35a0d0d6b5aec91b1a2ccfe0bbe98059c00411a1baed4ccc86d15decf869c3cf"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/proving-things-quant.tex"},"number":"19.4","physical_page":309,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=309","section_title_id":"Derivasi dengan Kuantor","solution_state":"not_audited","source_problem_id":"c80:OLP-0076:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0076"},{"chapter":"main:19","component":"main","id":"c80:OLP-0076:problem:002:main-fol","local_reader_url":"reader.pdf#page=310","mapping":{"canonical_section_label":"fol:seq:prq:sec","canonical_section_value":["19.7","248","\\usetoken {P}{derivation} dengan Kuantor","section*.2006",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=310","combined_page":310,"destination":"probd*.2161","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0076","observed_import_path":"content/first-order-logic/sequent-calculus/proving-things-quant.tex","occurrence_id":"c80:OLP-0076:problem:002:main-fol","printed_number":"19.5","source":{"block":{"bytes":377,"sha256":"ffe4c0a26bbaf51090346d2ef435ecf8a87fbd873a70cc860df20f418ccabbb1"},"byte_end_exclusive":4592,"byte_start":4215,"end_line":108,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":100},"source_file":{"bytes":4612,"sha256":"9c249f76aa00ddc5b64b68179b052d7df7e7ffa69be413de20796d98bd80389d"},"source_occurrence_order":142,"source_path":"content/first-order-logic/sequent-calculus/proving-things-quant.tex","source_problem_id":"c80:OLP-0076:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":382,"sha256":"6a16b962bd3bd93c99c211fdb0c80d054825945c43da8171422cbbd31c88884f"},"byte_end_exclusive":4578,"byte_start":4196,"end_line":107,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":99},"target_file":{"bytes":4595,"sha256":"35a0d0d6b5aec91b1a2ccfe0bbe98059c00411a1baed4ccc86d15decf869c3cf"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/proving-things-quant.tex"},"number":"19.5","physical_page":310,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=310","section_title_id":"Derivasi dengan Kuantor","solution_state":"not_audited","source_problem_id":"c80:OLP-0076:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0076"},{"chapter":"main:19","component":"main","id":"c80:OLP-0077:problem:001:main-fol","local_reader_url":"reader.pdf#page=310","mapping":{"canonical_section_label":"fol:seq:ptn:sec","canonical_section_value":["19.8","250","Gagasan Teori-Bukti","section*.2009",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=310","combined_page":310,"destination":"probd*.2166","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0077","observed_import_path":"content/first-order-logic/sequent-calculus/proof-theoretic-notions.tex","occurrence_id":"c80:OLP-0077:problem:001:main-fol","printed_number":"19.6","source":{"block":{"bytes":66,"sha256":"549938a5f2a42bcd034061f9867b9a7cb95465c4c253518cf0110e36f65009c7"},"byte_end_exclusive":5195,"byte_start":5129,"end_line":145,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":143},"source_file":{"bytes":6084,"sha256":"aea2dd5d73394a3cd97b72ada3e7d21aac0113cc4d995b54196a5506b1fa5a81"},"source_occurrence_order":143,"source_path":"content/first-order-logic/sequent-calculus/proof-theoretic-notions.tex","source_problem_id":"c80:OLP-0077:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":68,"sha256":"829b46b99b3757465472ad119d84fc2c53c41a8bba02ed75fa867238f0fd8663"},"byte_end_exclusive":5457,"byte_start":5389,"end_line":150,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":148},"target_file":{"bytes":6431,"sha256":"12837032db27238fc42e074d8bdf85b6ba6b93fb69aa3584cf76f33d3d1a3b27"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/proof-theoretic-notions.tex"},"number":"19.6","physical_page":310,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=310","section_title_id":"Gagasan Teori-Bukti","solution_state":"not_audited","source_problem_id":"c80:OLP-0077:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0077"},{"chapter":"main:19","component":"main","id":"c80:OLP-0078:problem:001:main-fol","local_reader_url":"reader.pdf#page=310","mapping":{"canonical_section_label":"fol:seq:prv:sec","canonical_section_value":["19.9","251","\\usetoken {S}{derivability} dan Konsistensi","section*.2035",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=310","combined_page":310,"destination":"probd*.2168","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0078","observed_import_path":"content/first-order-logic/sequent-calculus/provability-consistency.tex","occurrence_id":"c80:OLP-0078:problem:001:main-fol","printed_number":"19.7","source":{"block":{"bytes":104,"sha256":"0955e30ee695af98659b6884ce8b1f612fd85f739bd4871827fa1cddf56201e3"},"byte_end_exclusive":2355,"byte_start":2251,"end_line":73,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":71},"source_file":{"bytes":4129,"sha256":"3e784d39f38d393203a7623b34e8fcad64e3299c102ee2ef96a812b5e6c8c229"},"source_occurrence_order":144,"source_path":"content/first-order-logic/sequent-calculus/provability-consistency.tex","source_problem_id":"c80:OLP-0078:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":120,"sha256":"7c315feed657a249afb0f73283fb7e0750166404dcd9784aa27fb257800463a0"},"byte_end_exclusive":2407,"byte_start":2287,"end_line":78,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":75},"target_file":{"bytes":4157,"sha256":"858f7f8d28106db6de7e18e9317efb8a6ccca0b48ebef5c1fd4926b6a14b3f9c"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/provability-consistency.tex"},"number":"19.7","physical_page":310,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=310","section_title_id":"Keterderivasian dan Konsistensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0078:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0078"},{"chapter":"main:19","component":"main","id":"c80:OLP-0081:problem:001:main-fol","local_reader_url":"reader.pdf#page=310","mapping":{"canonical_section_label":"fol:seq:sou:sec","canonical_section_value":["19.12","254","Kesahihan","section*.2081",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=310","combined_page":310,"destination":"probd*.2170","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0081","observed_import_path":"content/first-order-logic/sequent-calculus/soundness.tex","occurrence_id":"c80:OLP-0081:problem:001:main-fol","printed_number":"19.8","source":{"block":{"bytes":93,"sha256":"0f00f20df3345818f978ed37f5e4df365a3931c3e1d16f74367687e6b5e12565"},"byte_end_exclusive":16470,"byte_start":16377,"end_line":337,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":335},"source_file":{"bytes":18047,"sha256":"d9f6180bee35f29553144b6eca5a1eb1916e0262dcdc8c30f50193a53d8001fa"},"source_occurrence_order":145,"source_path":"content/first-order-logic/sequent-calculus/soundness.tex","source_problem_id":"c80:OLP-0081:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":89,"sha256":"03395ad448eb3931cb8d4b8b6b80e42e884837474ca27bf7e5ca2999f5a919d7"},"byte_end_exclusive":17327,"byte_start":17238,"end_line":363,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":361},"target_file":{"bytes":18961,"sha256":"427331d19c0c5c4eca75e4ba260a58ca26f53221713d0672bc2586eb86afcf6b"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/soundness.tex"},"number":"19.8","physical_page":310,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=310","section_title_id":"Kesahihan","solution_state":"not_audited","source_problem_id":"c80:OLP-0081:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0081"},{"chapter":"main:19","component":"main","id":"c80:OLP-0082:problem:001:main-fol","local_reader_url":"reader.pdf#page=310","mapping":{"canonical_section_label":"fol:seq:ide:sec","canonical_section_value":["19.13","259","\\usetoken {P}{derivation} dengan \\usetoken {S}{identity}","section*.2112",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=310","combined_page":310,"destination":"probd*.2172","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0082","observed_import_path":"content/first-order-logic/sequent-calculus/identity.tex","occurrence_id":"c80:OLP-0082:problem:001:main-fol","printed_number":"19.9","source":{"block":{"bytes":354,"sha256":"432df2c5e8b626d61d49ce87dc3e8947067c097970676f147a105ff58f6277c5"},"byte_end_exclusive":2437,"byte_start":2083,"end_line":75,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":67},"source_file":{"bytes":2457,"sha256":"f9abed3c3d8c2079b2be27fdcb551c8f1987d1b4db18ece56d4c9e1a7b066856"},"source_occurrence_order":146,"source_path":"content/first-order-logic/sequent-calculus/identity.tex","source_problem_id":"c80:OLP-0082:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":349,"sha256":"b07a7dc549368c836e4b12e599d08f80603147b35023dc692262cd00d69b3ce6"},"byte_end_exclusive":2457,"byte_start":2108,"end_line":78,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":70},"target_file":{"bytes":2474,"sha256":"f61e66e89e0b21beba942d90a08b46d26a700955dce5421f63972345c4148f37"},"target_path":"locale/id/content/first-order-logic/sequent-calculus/identity.tex"},"number":"19.9","physical_page":310,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=310","section_title_id":"Derivasi dengan Predikat identitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0082:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0082"},{"chapter":"main:20","component":"main","id":"c80:OLP-0089:problem:001:main-fol","local_reader_url":"reader.pdf#page=335","mapping":{"canonical_section_label":"fol:ntd:pro:sec","canonical_section_value":["20.5","267","Contoh \\usetoken {P}{derivation}","section*.2197",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=335","combined_page":335,"destination":"probd*.2323","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0089","observed_import_path":"content/first-order-logic/natural-deduction/proving-things.tex","occurrence_id":"c80:OLP-0089:problem:001:main-fol","printed_number":"20.1","source":{"block":{"bytes":326,"sha256":"aa213382c37bd815206e1bf15f592769c6aad9796433e4f09da6be72026e9292"},"byte_end_exclusive":10028,"byte_start":9702,"end_line":275,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":267},"source_file":{"bytes":11372,"sha256":"ff58b86389a21dbc6f240f49e62d5fca0bdb4d3ba54e0d364792cdcddd34724f"},"source_occurrence_order":147,"source_path":"content/first-order-logic/natural-deduction/proving-things.tex","source_problem_id":"c80:OLP-0089:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":330,"sha256":"0233d2e8c6293f05843c1655a0ff7d7e3d44633fb04b9e46addc06f2e898577e"},"byte_end_exclusive":10153,"byte_start":9823,"end_line":282,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":274},"target_file":{"bytes":11486,"sha256":"069d99c8af43dc287db35c769f82c6e44e691275a9dc96456ec82e06389e2652"},"target_path":"locale/id/content/first-order-logic/natural-deduction/proving-things.tex"},"number":"20.1","physical_page":335,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=335","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0089:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0089"},{"chapter":"main:20","component":"main","id":"c80:OLP-0089:problem:002:main-fol","local_reader_url":"reader.pdf#page=336","mapping":{"canonical_section_label":"fol:ntd:pro:sec","canonical_section_value":["20.5","267","Contoh \\usetoken {P}{derivation}","section*.2197",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=336","combined_page":336,"destination":"probd*.2329","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0089","observed_import_path":"content/first-order-logic/natural-deduction/proving-things.tex","occurrence_id":"c80:OLP-0089:problem:002:main-fol","printed_number":"20.2","source":{"block":{"bytes":769,"sha256":"b93ecc9621f10e60830333d7021f583b78bd480f518d661126e4dd5b128f9d29"},"byte_end_exclusive":10801,"byte_start":10032,"end_line":293,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":277},"source_file":{"bytes":11372,"sha256":"ff58b86389a21dbc6f240f49e62d5fca0bdb4d3ba54e0d364792cdcddd34724f"},"source_occurrence_order":148,"source_path":"content/first-order-logic/natural-deduction/proving-things.tex","source_problem_id":"c80:OLP-0089:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":765,"sha256":"cef233892a255b42099e156e21768269cd5265097d64e0a83c657bbfe37de1b3"},"byte_end_exclusive":10920,"byte_start":10155,"end_line":300,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":284},"target_file":{"bytes":11486,"sha256":"069d99c8af43dc287db35c769f82c6e44e691275a9dc96456ec82e06389e2652"},"target_path":"locale/id/content/first-order-logic/natural-deduction/proving-things.tex"},"number":"20.2","physical_page":336,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=336","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0089:problem:002","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0089"},{"chapter":"main:20","component":"main","id":"c80:OLP-0089:problem:003:main-fol","local_reader_url":"reader.pdf#page=336","mapping":{"canonical_section_label":"fol:ntd:pro:sec","canonical_section_value":["20.5","267","Contoh \\usetoken {P}{derivation}","section*.2197",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=336","combined_page":336,"destination":"probd*.2343","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0089","observed_import_path":"content/first-order-logic/natural-deduction/proving-things.tex","occurrence_id":"c80:OLP-0089:problem:003:main-fol","printed_number":"20.3","source":{"block":{"bytes":547,"sha256":"e8b5c927314b4d7b855dabab619727995e19f381daaeb73cc52a64b73962b209"},"byte_end_exclusive":11352,"byte_start":10805,"end_line":308,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":295},"source_file":{"bytes":11372,"sha256":"ff58b86389a21dbc6f240f49e62d5fca0bdb4d3ba54e0d364792cdcddd34724f"},"source_occurrence_order":149,"source_path":"content/first-order-logic/natural-deduction/proving-things.tex","source_problem_id":"c80:OLP-0089:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":547,"sha256":"4160facebd7912f81b01bf63f4b07afe6767d3fe8059b81f31ebb18255853411"},"byte_end_exclusive":11469,"byte_start":10922,"end_line":315,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":302},"target_file":{"bytes":11486,"sha256":"069d99c8af43dc287db35c769f82c6e44e691275a9dc96456ec82e06389e2652"},"target_path":"locale/id/content/first-order-logic/natural-deduction/proving-things.tex"},"number":"20.3","physical_page":336,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=336","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0089:problem:003","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0089"},{"chapter":"main:20","component":"main","id":"c80:OLP-0090:problem:001:main-fol","local_reader_url":"reader.pdf#page=336","mapping":{"canonical_section_label":"fol:ntd:prq:sec","canonical_section_value":["20.6","271","\\usetoken {P}{derivation} dengan Kuantor","section*.2204",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=336","combined_page":336,"destination":"probd*.2353","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0090","observed_import_path":"content/first-order-logic/natural-deduction/proving-things-quant.tex","occurrence_id":"c80:OLP-0090:problem:001:main-fol","printed_number":"20.4","source":{"block":{"bytes":640,"sha256":"1c49764e9787808440a00e14a32202b6bb8f0edfff6dbfd6bcbd33d79d0eff4c"},"byte_end_exclusive":9420,"byte_start":8780,"end_line":243,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":230},"source_file":{"bytes":9803,"sha256":"6f49b930a86f60a1cca318d70259378f7bc6b5ebb76f307665c4eb4363e8235f"},"source_occurrence_order":150,"source_path":"content/first-order-logic/natural-deduction/proving-things-quant.tex","source_problem_id":"c80:OLP-0090:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":639,"sha256":"0198120039749d4f2fd9aee05140975b90d8b2f09ea945547a3a1abc6bd4e0fe"},"byte_end_exclusive":9678,"byte_start":9039,"end_line":245,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":232},"target_file":{"bytes":10061,"sha256":"928d581265fc79e95633bc44151c1df984ef2ac4d06916c995b526fb539a230a"},"target_path":"locale/id/content/first-order-logic/natural-deduction/proving-things-quant.tex"},"number":"20.4","physical_page":336,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=336","section_title_id":"Derivasi dengan Kuantor","solution_state":"not_audited","source_problem_id":"c80:OLP-0090:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0090"},{"chapter":"main:20","component":"main","id":"c80:OLP-0090:problem:002:main-fol","local_reader_url":"reader.pdf#page=337","mapping":{"canonical_section_label":"fol:ntd:prq:sec","canonical_section_value":["20.6","271","\\usetoken {P}{derivation} dengan Kuantor","section*.2204",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","combined_page":337,"destination":"probd*.2361","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0090","observed_import_path":"content/first-order-logic/natural-deduction/proving-things-quant.tex","occurrence_id":"c80:OLP-0090:problem:002:main-fol","printed_number":"20.5","source":{"block":{"bytes":359,"sha256":"37711939c9cfb0615f033a23c876b094c2ee82cf3ea0813091e44943b53b96c2"},"byte_end_exclusive":9783,"byte_start":9424,"end_line":253,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":245},"source_file":{"bytes":9803,"sha256":"6f49b930a86f60a1cca318d70259378f7bc6b5ebb76f307665c4eb4363e8235f"},"source_occurrence_order":151,"source_path":"content/first-order-logic/natural-deduction/proving-things-quant.tex","source_problem_id":"c80:OLP-0090:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":364,"sha256":"902bea552e492bb3b54907c6b5cb51e4f8f58c366df52a756b195f105fedbee9"},"byte_end_exclusive":10044,"byte_start":9680,"end_line":255,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":247},"target_file":{"bytes":10061,"sha256":"928d581265fc79e95633bc44151c1df984ef2ac4d06916c995b526fb539a230a"},"target_path":"locale/id/content/first-order-logic/natural-deduction/proving-things-quant.tex"},"number":"20.5","physical_page":337,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","section_title_id":"Derivasi dengan Kuantor","solution_state":"not_audited","source_problem_id":"c80:OLP-0090:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0090"},{"chapter":"main:20","component":"main","id":"c80:OLP-0091:problem:001:main-fol","local_reader_url":"reader.pdf#page=337","mapping":{"canonical_section_label":"fol:ntd:ptn:sec","canonical_section_value":["20.7","274","Gagasan Teori-Bukti","section*.2211",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","combined_page":337,"destination":"probd*.2366","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0091","observed_import_path":"content/first-order-logic/natural-deduction/proof-theoretic-notions.tex","occurrence_id":"c80:OLP-0091:problem:001:main-fol","printed_number":"20.6","source":{"block":{"bytes":66,"sha256":"a82f32d9eaac904471ab742f5ca6b93f4015145a793b84342be87290dd84c1b9"},"byte_end_exclusive":4185,"byte_start":4119,"end_line":127,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":125},"source_file":{"bytes":5198,"sha256":"7e05743251dd0c5071685193a98c28baea1c77b06836f11e3f3e3aa6a6bd9198"},"source_occurrence_order":152,"source_path":"content/first-order-logic/natural-deduction/proof-theoretic-notions.tex","source_problem_id":"c80:OLP-0091:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":68,"sha256":"34369860636027d15489c6942d4e6d1011a3b1e77497baf2bd31d4271d9ef26f"},"byte_end_exclusive":4418,"byte_start":4350,"end_line":133,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":131},"target_file":{"bytes":5475,"sha256":"bacfe229b38696e84d8debf870a167cab73b58b60c3ae3f0fa7fa9b760a6d1d9"},"target_path":"locale/id/content/first-order-logic/natural-deduction/proof-theoretic-notions.tex"},"number":"20.6","physical_page":337,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","section_title_id":"Gagasan Teori-Bukti","solution_state":"not_audited","source_problem_id":"c80:OLP-0091:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0091"},{"chapter":"main:20","component":"main","id":"c80:OLP-0092:problem:001:main-fol","local_reader_url":"reader.pdf#page=337","mapping":{"canonical_section_label":"fol:ntd:prv:sec","canonical_section_value":["20.8","276","\\usetoken {S}{derivability} dan Konsistensi","section*.2240",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","combined_page":337,"destination":"probd*.2368","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0092","observed_import_path":"content/first-order-logic/natural-deduction/provability-consistency.tex","occurrence_id":"c80:OLP-0092:problem:001:main-fol","printed_number":"20.7","source":{"block":{"bytes":105,"sha256":"9a30b9f2143fe9c45a64979025282560d8ef19e93ed20ee5c8f89aa2037c8eeb"},"byte_end_exclusive":2400,"byte_start":2295,"end_line":80,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":77},"source_file":{"bytes":4037,"sha256":"9d967013e14c7f911bf612ddab65b22a2e5f8d90f182926741c0bf7cab5076bc"},"source_occurrence_order":153,"source_path":"content/first-order-logic/natural-deduction/provability-consistency.tex","source_problem_id":"c80:OLP-0092:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":120,"sha256":"7c315feed657a249afb0f73283fb7e0750166404dcd9784aa27fb257800463a0"},"byte_end_exclusive":2436,"byte_start":2316,"end_line":82,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":79},"target_file":{"bytes":4052,"sha256":"86d6278f81fdfc0a96cdbc0f1e92e90d32e92afee5ac618ee1b7aa2da4ca130c"},"target_path":"locale/id/content/first-order-logic/natural-deduction/provability-consistency.tex"},"number":"20.7","physical_page":337,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","section_title_id":"Keterderivasian dan Konsistensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0092:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0092"},{"chapter":"main:20","component":"main","id":"c80:OLP-0095:problem:001:main-fol","local_reader_url":"reader.pdf#page=337","mapping":{"canonical_section_label":"fol:ntd:sou:sec","canonical_section_value":["20.11","279","Kesahihan","section*.2286",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","combined_page":337,"destination":"probd*.2370","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0095","observed_import_path":"content/first-order-logic/natural-deduction/soundness.tex","occurrence_id":"c80:OLP-0095:problem:001:main-fol","printed_number":"20.8","source":{"block":{"bytes":85,"sha256":"07059a3b38b83c9933738e94853237d7b1ff567f09f6fb0653c532253c64324a"},"byte_end_exclusive":12331,"byte_start":12246,"end_line":282,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":280},"source_file":{"bytes":13330,"sha256":"e470b5e3a94dd4445dcedc0bbb2d4bb9c5520a3f79ea754f37e4ae1501376e35"},"source_occurrence_order":154,"source_path":"content/first-order-logic/natural-deduction/soundness.tex","source_problem_id":"c80:OLP-0095:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":81,"sha256":"7bf3392f34b68ff2f07a5724b560db0236c26a52e1d7b529a08c926705c024cc"},"byte_end_exclusive":12763,"byte_start":12682,"end_line":294,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":292},"target_file":{"bytes":13776,"sha256":"f80b84001385431cce1809dddb5093ad3e69c37d6a89e58243c30e9f7dd57cfd"},"target_path":"locale/id/content/first-order-logic/natural-deduction/soundness.tex"},"number":"20.8","physical_page":337,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","section_title_id":"Kesahihan","solution_state":"not_audited","source_problem_id":"c80:OLP-0095:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0095"},{"chapter":"main:20","component":"main","id":"c80:OLP-0096:problem:001:main-fol","local_reader_url":"reader.pdf#page=337","mapping":{"canonical_section_label":"fol:ntd:ide:sec","canonical_section_value":["20.12","283","\\usetoken {P}{derivation} dengan \\usetoken {S}{identity}","section*.2312",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","combined_page":337,"destination":"probd*.2372","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0096","observed_import_path":"content/first-order-logic/natural-deduction/identity.tex","occurrence_id":"c80:OLP-0096:problem:001:main-fol","printed_number":"20.9","source":{"block":{"bytes":258,"sha256":"0d8aac39b310d6e0513b13228ac7f9fd2bda4e4b1f224a0807fd7f1a4a997dbc"},"byte_end_exclusive":1480,"byte_start":1222,"end_line":57,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":52},"source_file":{"bytes":3953,"sha256":"d5df1d1bb3818a275e2439a584a3851036870182afde592fa6e8f80b55c00add"},"source_occurrence_order":155,"source_path":"content/first-order-logic/natural-deduction/identity.tex","source_problem_id":"c80:OLP-0096:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":264,"sha256":"88a8d5c6488e8ee413a269a5a91588c89d129295b838ba4eec7973ee01d02623"},"byte_end_exclusive":1499,"byte_start":1235,"end_line":58,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":53},"target_file":{"bytes":4139,"sha256":"d3292913ff525b924b0be718fb3a0c3f5215444ff1ed9e12bd0f650b18e3dc0c"},"target_path":"locale/id/content/first-order-logic/natural-deduction/identity.tex"},"number":"20.9","physical_page":337,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","section_title_id":"Derivasi dengan Predikat identitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0096:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0096"},{"chapter":"main:20","component":"main","id":"c80:OLP-0096:problem:002:main-fol","local_reader_url":"reader.pdf#page=337","mapping":{"canonical_section_label":"fol:ntd:ide:sec","canonical_section_value":["20.12","283","\\usetoken {P}{derivation} dengan \\usetoken {S}{identity}","section*.2312",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","combined_page":337,"destination":"probd*.2374","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0096","observed_import_path":"content/first-order-logic/natural-deduction/identity.tex","occurrence_id":"c80:OLP-0096:problem:002:main-fol","printed_number":"20.10","source":{"block":{"bytes":358,"sha256":"e61f2928524005bcbf8214aa901290ae0347e7f7c2778656b398b79d8bc39a6b"},"byte_end_exclusive":3933,"byte_start":3575,"end_line":122,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":114},"source_file":{"bytes":3953,"sha256":"d5df1d1bb3818a275e2439a584a3851036870182afde592fa6e8f80b55c00add"},"source_occurrence_order":156,"source_path":"content/first-order-logic/natural-deduction/identity.tex","source_problem_id":"c80:OLP-0096:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":348,"sha256":"a04f014449bce715f1cf2065d5a9893ac28564aaa631ab4b6fd822356e79103e"},"byte_end_exclusive":4122,"byte_start":3774,"end_line":126,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":118},"target_file":{"bytes":4139,"sha256":"d3292913ff525b924b0be718fb3a0c3f5215444ff1ed9e12bd0f650b18e3dc0c"},"target_path":"locale/id/content/first-order-logic/natural-deduction/identity.tex"},"number":"20.10","physical_page":337,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=337","section_title_id":"Derivasi dengan Predikat identitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0096:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0096"},{"chapter":"main:21","component":"main","id":"c80:OLP-0103:problem:001:main-fol","local_reader_url":"reader.pdf#page=364","mapping":{"canonical_section_label":"fol:tab:pro:sec","canonical_section_value":["21.5","292","Contoh \\usetoken {P}{tableau}","section*.2398",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=364","combined_page":364,"destination":"probd*.2523","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0103","observed_import_path":"content/first-order-logic/tableaux/proving-things.tex","occurrence_id":"c80:OLP-0103:problem:001:main-fol","printed_number":"21.1","source":{"block":{"bytes":419,"sha256":"044fab701963c9605dac1ecbb063a7e0a1fe24ae69fe2c8d7f8faf61f33fc5ca"},"byte_end_exclusive":17006,"byte_start":16587,"end_line":426,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":418},"source_file":{"bytes":18685,"sha256":"ba6a2d3c2f7c7504daa17942290c75084bbfab92663a492557ca6530a175d914"},"source_occurrence_order":157,"source_path":"content/first-order-logic/tableaux/proving-things.tex","source_problem_id":"c80:OLP-0103:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":421,"sha256":"ebbc9803371a252b44f2f3acc4b7c8694f8391a9ba40582e1498ec6eefc8d710"},"byte_end_exclusive":16952,"byte_start":16531,"end_line":428,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":420},"target_file":{"bytes":18631,"sha256":"f79e9535dd985bf948ef84154dba9de10e33bc8baa585cd098a981a0ccbe13fe"},"target_path":"locale/id/content/first-order-logic/tableaux/proving-things.tex"},"number":"21.1","physical_page":364,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=364","section_title_id":"Contoh Tableau","solution_state":"not_audited","source_problem_id":"c80:OLP-0103:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0103"},{"chapter":"main:21","component":"main","id":"c80:OLP-0103:problem:002:main-fol","local_reader_url":"reader.pdf#page=364","mapping":{"canonical_section_label":"fol:tab:pro:sec","canonical_section_value":["21.5","292","Contoh \\usetoken {P}{tableau}","section*.2398",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=364","combined_page":364,"destination":"probd*.2529","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0103","observed_import_path":"content/first-order-logic/tableaux/proving-things.tex","occurrence_id":"c80:OLP-0103:problem:002:main-fol","printed_number":"21.2","source":{"block":{"bytes":974,"sha256":"3bce462687db84aeaf55d0c0f821e9bf359cd8158bef4ee2c224f8fa8c3aefe8"},"byte_end_exclusive":17984,"byte_start":17010,"end_line":444,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":428},"source_file":{"bytes":18685,"sha256":"ba6a2d3c2f7c7504daa17942290c75084bbfab92663a492557ca6530a175d914"},"source_occurrence_order":158,"source_path":"content/first-order-logic/tableaux/proving-things.tex","source_problem_id":"c80:OLP-0103:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":983,"sha256":"b204da31cc031b70aeea7d4f19b95e05ab6c4877248bfe5a538dd1da89173e89"},"byte_end_exclusive":17937,"byte_start":16954,"end_line":446,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":430},"target_file":{"bytes":18631,"sha256":"f79e9535dd985bf948ef84154dba9de10e33bc8baa585cd098a981a0ccbe13fe"},"target_path":"locale/id/content/first-order-logic/tableaux/proving-things.tex"},"number":"21.2","physical_page":364,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=364","section_title_id":"Contoh Tableau","solution_state":"not_audited","source_problem_id":"c80:OLP-0103:problem:002","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0103"},{"chapter":"main:21","component":"main","id":"c80:OLP-0103:problem:003:main-fol","local_reader_url":"reader.pdf#page=364","mapping":{"canonical_section_label":"fol:tab:pro:sec","canonical_section_value":["21.5","292","Contoh \\usetoken {P}{tableau}","section*.2398",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=364","combined_page":364,"destination":"probd*.2543","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0103","observed_import_path":"content/first-order-logic/tableaux/proving-things.tex","occurrence_id":"c80:OLP-0103:problem:003:main-fol","printed_number":"21.3","source":{"block":{"bytes":677,"sha256":"8c28ac70d0fae33e9ab0b21ebbcb3e16b8b176fc06af624936c4d6d0fc5d012f"},"byte_end_exclusive":18665,"byte_start":17988,"end_line":458,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":446},"source_file":{"bytes":18685,"sha256":"ba6a2d3c2f7c7504daa17942290c75084bbfab92663a492557ca6530a175d914"},"source_occurrence_order":159,"source_path":"content/first-order-logic/tableaux/proving-things.tex","source_problem_id":"c80:OLP-0103:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":675,"sha256":"a02753b05c0049a6dd8500c4e8c161fe4c1fda92b32ab9bed5eac82f8e821508"},"byte_end_exclusive":18614,"byte_start":17939,"end_line":460,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":448},"target_file":{"bytes":18631,"sha256":"f79e9535dd985bf948ef84154dba9de10e33bc8baa585cd098a981a0ccbe13fe"},"target_path":"locale/id/content/first-order-logic/tableaux/proving-things.tex"},"number":"21.3","physical_page":364,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=364","section_title_id":"Contoh Tableau","solution_state":"not_audited","source_problem_id":"c80:OLP-0103:problem:003","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0103"},{"chapter":"main:21","component":"main","id":"c80:OLP-0104:problem:001:main-fol","local_reader_url":"reader.pdf#page=365","mapping":{"canonical_section_label":"fol:tab:prq:sec","canonical_section_value":["21.6","296","\\usetoken {P}{tableau} dengan Kuantor","section*.2405",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","combined_page":365,"destination":"probd*.2553","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0104","observed_import_path":"content/first-order-logic/tableaux/proving-things-quant.tex","occurrence_id":"c80:OLP-0104:problem:001:main-fol","printed_number":"21.4","source":{"block":{"bytes":720,"sha256":"2fce0aa48ec07cb8d5a53f05ac5cca57cef212844fcf07547fdcfd8c54420396"},"byte_end_exclusive":13197,"byte_start":12477,"end_line":333,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":317},"source_file":{"bytes":13575,"sha256":"72370c12bee0766fb0e674ebae09ec7940f611ff7f9592284dadfe21516b4032"},"source_occurrence_order":160,"source_path":"content/first-order-logic/tableaux/proving-things-quant.tex","source_problem_id":"c80:OLP-0104:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":714,"sha256":"06673393e9f0e217936ccb65e98948745ff38edfc105a874717803eabe6d203c"},"byte_end_exclusive":13357,"byte_start":12643,"end_line":341,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":325},"target_file":{"bytes":13733,"sha256":"62e3146a2ac1dd03cdb6b6b1e533d9bf192176c9aeadf231c960066b07f6b01c"},"target_path":"locale/id/content/first-order-logic/tableaux/proving-things-quant.tex"},"number":"21.4","physical_page":365,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","section_title_id":"Tableau dengan Kuantor","solution_state":"not_audited","source_problem_id":"c80:OLP-0104:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0104"},{"chapter":"main:21","component":"main","id":"c80:OLP-0104:problem:002:main-fol","local_reader_url":"reader.pdf#page=365","mapping":{"canonical_section_label":"fol:tab:prq:sec","canonical_section_value":["21.6","296","\\usetoken {P}{tableau} dengan Kuantor","section*.2405",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","combined_page":365,"destination":"probd*.2561","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0104","observed_import_path":"content/first-order-logic/tableaux/proving-things-quant.tex","occurrence_id":"c80:OLP-0104:problem:002:main-fol","printed_number":"21.5","source":{"block":{"bytes":354,"sha256":"a25eae572e339ed7db4e45648a71247a1e75c6cb5c687ae88f71800fffe01ac8"},"byte_end_exclusive":13555,"byte_start":13201,"end_line":342,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":335},"source_file":{"bytes":13575,"sha256":"72370c12bee0766fb0e674ebae09ec7940f611ff7f9592284dadfe21516b4032"},"source_occurrence_order":161,"source_path":"content/first-order-logic/tableaux/proving-things-quant.tex","source_problem_id":"c80:OLP-0104:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":357,"sha256":"779b6e174099cfdc61602bfd7eb713bb166ad152d45ae37105842f96234b5654"},"byte_end_exclusive":13716,"byte_start":13359,"end_line":350,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":343},"target_file":{"bytes":13733,"sha256":"62e3146a2ac1dd03cdb6b6b1e533d9bf192176c9aeadf231c960066b07f6b01c"},"target_path":"locale/id/content/first-order-logic/tableaux/proving-things-quant.tex"},"number":"21.5","physical_page":365,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","section_title_id":"Tableau dengan Kuantor","solution_state":"not_audited","source_problem_id":"c80:OLP-0104:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0104"},{"chapter":"main:21","component":"main","id":"c80:OLP-0105:problem:001:main-fol","local_reader_url":"reader.pdf#page=365","mapping":{"canonical_section_label":"fol:tab:ptn:sec","canonical_section_value":["21.7","299","Gagasan Teori-Bukti","section*.2412",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","combined_page":365,"destination":"probd*.2566","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0105","observed_import_path":"content/first-order-logic/tableaux/proof-theoretic-notions.tex","occurrence_id":"c80:OLP-0105:problem:001:main-fol","printed_number":"21.6","source":{"block":{"bytes":66,"sha256":"37c3c3a269a5f1c2673cc08508c9745c5ed928ac9fd64852f463f5e50d33958e"},"byte_end_exclusive":4580,"byte_start":4514,"end_line":153,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":151},"source_file":{"bytes":5711,"sha256":"bad25c1ba9db9de17f7c2ff5fffa2c4f9f00aa13d23c197e5337fe759d6fdd39"},"source_occurrence_order":162,"source_path":"content/first-order-logic/tableaux/proof-theoretic-notions.tex","source_problem_id":"c80:OLP-0105:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":68,"sha256":"be5bdd258c1988abcff9b299cbbc30bd70732150f482d23076b76ffd317a64a0"},"byte_end_exclusive":4830,"byte_start":4762,"end_line":159,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":157},"target_file":{"bytes":6047,"sha256":"30666351ff3c8a7b063d6c067d1e4fb9fde62b1ee8b9902e9043553167533f6c"},"target_path":"locale/id/content/first-order-logic/tableaux/proof-theoretic-notions.tex"},"number":"21.6","physical_page":365,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","section_title_id":"Gagasan Teori-Bukti","solution_state":"not_audited","source_problem_id":"c80:OLP-0105:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0105"},{"chapter":"main:21","component":"main","id":"c80:OLP-0106:problem:001:main-fol","local_reader_url":"reader.pdf#page=365","mapping":{"canonical_section_label":"fol:tab:prv:sec","canonical_section_value":["21.8","301","\\usetoken {S}{derivability} dan Konsistensi","section*.2438",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","combined_page":365,"destination":"probd*.2568","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0106","observed_import_path":"content/first-order-logic/tableaux/provability-consistency.tex","occurrence_id":"c80:OLP-0106:problem:001:main-fol","printed_number":"21.7","source":{"block":{"bytes":104,"sha256":"0955e30ee695af98659b6884ce8b1f612fd85f739bd4871827fa1cddf56201e3"},"byte_end_exclusive":2851,"byte_start":2747,"end_line":77,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":75},"source_file":{"bytes":6270,"sha256":"6d159d1c93f6b4bb24cf3d16e7f18096e15881679ef5f64db5b25cee57cccdef"},"source_occurrence_order":163,"source_path":"content/first-order-logic/tableaux/provability-consistency.tex","source_problem_id":"c80:OLP-0106:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":120,"sha256":"7c315feed657a249afb0f73283fb7e0750166404dcd9784aa27fb257800463a0"},"byte_end_exclusive":2943,"byte_start":2823,"end_line":81,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":78},"target_file":{"bytes":6363,"sha256":"bdc3328b70caee7c0f136cf32594d26af46cc3971230a0189756b50d804a425d"},"target_path":"locale/id/content/first-order-logic/tableaux/provability-consistency.tex"},"number":"21.7","physical_page":365,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","section_title_id":"Keterderivasian dan Konsistensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0106:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0106"},{"chapter":"main:21","component":"main","id":"c80:OLP-0109:problem:001:main-fol","local_reader_url":"reader.pdf#page=365","mapping":{"canonical_section_label":"fol:tab:sou:sec","canonical_section_value":["21.11","306","Kesahihan","section*.2484",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","combined_page":365,"destination":"probd*.2570","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0109","observed_import_path":"content/first-order-logic/tableaux/soundness.tex","occurrence_id":"c80:OLP-0109:problem:001:main-fol","printed_number":"21.8","source":{"block":{"bytes":93,"sha256":"e5fb6b22ee0e497240ec7497b52adc3d10af5dbde6c6443c84260dd0cfb18f68"},"byte_end_exclusive":9621,"byte_start":9528,"end_line":195,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":193},"source_file":{"bytes":11066,"sha256":"49f119364f19485fa74c0c18e849f20b746e8edec9fdccb9e98a8aff7250a744"},"source_occurrence_order":164,"source_path":"content/first-order-logic/tableaux/soundness.tex","source_problem_id":"c80:OLP-0109:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":89,"sha256":"9e350c1f1fdb24a238ad4a7485e9656fa2741b40a7efa878694e2cfcdc4c1697"},"byte_end_exclusive":10362,"byte_start":10273,"end_line":211,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":209},"target_file":{"bytes":11862,"sha256":"57c4bec87ff1c14c1d93c790c823cbfa1208b14ec37c29e69921c4378c11efaa"},"target_path":"locale/id/content/first-order-logic/tableaux/soundness.tex"},"number":"21.8","physical_page":365,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","section_title_id":"Kesahihan","solution_state":"not_audited","source_problem_id":"c80:OLP-0109:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0109"},{"chapter":"main:21","component":"main","id":"c80:OLP-0110:problem:001:main-fol","local_reader_url":"reader.pdf#page=365","mapping":{"canonical_section_label":"fol:tab:ide:sec","canonical_section_value":["21.12","309","\\usetoken {P}{tableau} dengan \\usetoken {S}{identity}","section*.2514",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","combined_page":365,"destination":"probd*.2572","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0110","observed_import_path":"content/first-order-logic/tableaux/identity.tex","occurrence_id":"c80:OLP-0110:problem:001:main-fol","printed_number":"21.9","source":{"block":{"bytes":397,"sha256":"03c62c8ef94998c837a9f75cde44d9809c1cb917b6d8c0ae27a3134786920c70"},"byte_end_exclusive":3481,"byte_start":3084,"end_line":103,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":93},"source_file":{"bytes":3501,"sha256":"b40df45226792d6995a13afbc4341601207236b40cdb11920e9d48d0c81b2088"},"source_occurrence_order":165,"source_path":"content/first-order-logic/tableaux/identity.tex","source_problem_id":"c80:OLP-0110:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":395,"sha256":"a5da88c5e89e0ab5a02e19ba9ae770ce6b09e9422a9e4d712f688c777ff57887"},"byte_end_exclusive":3539,"byte_start":3144,"end_line":106,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":96},"target_file":{"bytes":3556,"sha256":"426cb8468be193ddad85b6f4d1673a65219b7b6d7a5328873a10ef766f816d98"},"target_path":"locale/id/content/first-order-logic/tableaux/identity.tex"},"number":"21.9","physical_page":365,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=365","section_title_id":"Tableau dengan Predikat identitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0110:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0110"},{"chapter":"main:22","component":"main","id":"c80:OLP-0116:problem:001:main-fol","local_reader_url":"reader.pdf#page=380","mapping":{"canonical_section_label":"fol:axd:pro:sec","canonical_section_value":["22.4","316","Contoh \\usetoken {P}{derivation}","section*.2617",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","combined_page":380,"destination":"probd*.2750","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0116","observed_import_path":"content/first-order-logic/axiomatic-deduction/proving-things.tex","occurrence_id":"c80:OLP-0116:problem:001:main-fol","printed_number":"22.1","source":{"block":{"bytes":285,"sha256":"45760a09394c5dd7fb690fb75590299f26a1262f61c7f7c6d6c534b21e422a65"},"byte_end_exclusive":5579,"byte_start":5294,"end_line":128,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":120},"source_file":{"bytes":5603,"sha256":"ac5dc1913eb14bc8d0ba0adb9d45d08b0882f02c4d7f152b654fc153f61fb1a7"},"source_occurrence_order":166,"source_path":"content/first-order-logic/axiomatic-deduction/proving-things.tex","source_problem_id":"c80:OLP-0116:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":308,"sha256":"64fc8fc2d3eb1a1b3f699f7514262142b29cdc47c5edcbc38b3bbe26f91602f2"},"byte_end_exclusive":5864,"byte_start":5556,"end_line":134,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":126},"target_file":{"bytes":5883,"sha256":"5c885977e1c8b31d2c7472951ba0c56294f11a51948d0471e19e18032e0255fb"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/proving-things.tex"},"number":"22.1","physical_page":380,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","section_title_id":"Contoh Derivasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0116:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0116"},{"chapter":"main:22","component":"main","id":"c80:OLP-0118:problem:001:main-fol","local_reader_url":"reader.pdf#page=380","mapping":{"canonical_section_label":"fol:axd:ptn:sec","canonical_section_value":["22.6","318","Gagasan Teori-Bukti","section*.2630",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","combined_page":380,"destination":"probd*.2755","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0118","observed_import_path":"content/first-order-logic/axiomatic-deduction/proof-theoretic-notions.tex","occurrence_id":"c80:OLP-0118:problem:001:main-fol","printed_number":"22.2","source":{"block":{"bytes":67,"sha256":"c057a569cf0702a66a2d38b02d11a5797b97516a9938f9b5f4db54b833c414c2"},"byte_end_exclusive":3319,"byte_start":3252,"end_line":103,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":101},"source_file":{"bytes":4402,"sha256":"d5cd7ef578090b935af9013ba65f020ea8c043b95ec17ed9a758a01129bbf859"},"source_occurrence_order":167,"source_path":"content/first-order-logic/axiomatic-deduction/proof-theoretic-notions.tex","source_problem_id":"c80:OLP-0118:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":68,"sha256":"0a037d77c30bd66904ad8e56f7f13506774bc45556c2c0bb1596bdbeedcb6e88"},"byte_end_exclusive":3531,"byte_start":3463,"end_line":108,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":106},"target_file":{"bytes":4681,"sha256":"0cde205089a80ce92a16b6396501e9686ad28d3e65f620586cc907918fced36f"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/proof-theoretic-notions.tex"},"number":"22.2","physical_page":380,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","section_title_id":"Gagasan Teori-Bukti","solution_state":"not_audited","source_problem_id":"c80:OLP-0118:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0118"},{"chapter":"main:22","component":"main","id":"c80:OLP-0119:problem:001:main-fol","local_reader_url":"reader.pdf#page=380","mapping":{"canonical_section_label":"fol:axd:ded:sec","canonical_section_value":["22.7","319","Teorema Deduksi","section*.2656",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","combined_page":380,"destination":"probd*.2757","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0119","observed_import_path":"content/first-order-logic/axiomatic-deduction/deduction-theorem.tex","occurrence_id":"c80:OLP-0119:problem:001:main-fol","printed_number":"22.3","source":{"block":{"bytes":72,"sha256":"b171f94a8d7ee74e47b792bb87a53a4b6c6973933d808023e6fa2305c2eb88e6"},"byte_end_exclusive":4720,"byte_start":4648,"end_line":123,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":121},"source_file":{"bytes":4859,"sha256":"f74129e7541a9452530ebc0ab630c8763cd0d4177532baf43cd249c635642cd4"},"source_occurrence_order":168,"source_path":"content/first-order-logic/axiomatic-deduction/deduction-theorem.tex","source_problem_id":"c80:OLP-0119:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":74,"sha256":"5257f5f26896bb051e7e0809a7cbc677e471b0cae396d5a6733371a0f539f865"},"byte_end_exclusive":5070,"byte_start":4996,"end_line":131,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":129},"target_file":{"bytes":5203,"sha256":"102ce64d4034f6b914cc93b843e7c73c3354b0b8d3fba25a70be0ffa4b49b78b"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/deduction-theorem.tex"},"number":"22.3","physical_page":380,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","section_title_id":"Teorema Deduksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0119:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0119"},{"chapter":"main:22","component":"main","id":"c80:OLP-0120:problem:001:main-fol","local_reader_url":"reader.pdf#page=380","mapping":{"canonical_section_label":"fol:axd:ddq:sec","canonical_section_value":["22.8","320","Teorema Deduksi dengan Kuantor","section*.2670",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","combined_page":380,"destination":"probd*.2759","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0120","observed_import_path":"content/first-order-logic/axiomatic-deduction/deduction-theorem-quantifiers.tex","occurrence_id":"c80:OLP-0120:problem:001:main-fol","printed_number":"22.4","source":{"block":{"bytes":93,"sha256":"4fff5e87ec9faaf2c344629dcff49912434668a1f5a6f28d918fbb3584800032"},"byte_end_exclusive":2214,"byte_start":2121,"end_line":56,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":54},"source_file":{"bytes":2234,"sha256":"0da5dfe61f218d9ef0820e07f1e6c0d71ef4e912d010e83e7484690bdd9af1e7"},"source_occurrence_order":169,"source_path":"content/first-order-logic/axiomatic-deduction/deduction-theorem-quantifiers.tex","source_problem_id":"c80:OLP-0120:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":89,"sha256":"301f33be33d004c249ab8235afa35501096d7d84f9a1557a0e126bd5dcf360ac"},"byte_end_exclusive":2380,"byte_start":2291,"end_line":60,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":58},"target_file":{"bytes":2397,"sha256":"cd80372bb1abdbf88fe8ef34268239258484559adeeb5735f5c2b445c2472030"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/deduction-theorem-quantifiers.tex"},"number":"22.4","physical_page":380,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","section_title_id":"Teorema Deduksi dengan Kuantor","solution_state":"not_audited","source_problem_id":"c80:OLP-0120:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0120"},{"chapter":"main:22","component":"main","id":"c80:OLP-0121:problem:001:main-fol","local_reader_url":"reader.pdf#page=380","mapping":{"canonical_section_label":"fol:axd:prv:sec","canonical_section_value":["22.9","321","\\usetoken {S}{derivability} dan Konsistensi","section*.2674",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","combined_page":380,"destination":"probd*.2761","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0121","observed_import_path":"content/first-order-logic/axiomatic-deduction/provability-consistency.tex","occurrence_id":"c80:OLP-0121:problem:001:main-fol","printed_number":"22.5","source":{"block":{"bytes":105,"sha256":"9a30b9f2143fe9c45a64979025282560d8ef19e93ed20ee5c8f89aa2037c8eeb"},"byte_end_exclusive":2177,"byte_start":2072,"end_line":58,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":55},"source_file":{"bytes":2979,"sha256":"069b652fa3cf1c8e7719ae95d355398b866c9ecf42ff747b755ddbf5fd3b6eef"},"source_occurrence_order":170,"source_path":"content/first-order-logic/axiomatic-deduction/provability-consistency.tex","source_problem_id":"c80:OLP-0121:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":120,"sha256":"7c315feed657a249afb0f73283fb7e0750166404dcd9784aa27fb257800463a0"},"byte_end_exclusive":2286,"byte_start":2166,"end_line":67,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":64},"target_file":{"bytes":3070,"sha256":"9a5f29d51ddc4b455c8ea911c67935363ec1c612d72301ffdd159161abcf38bc"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/provability-consistency.tex"},"number":"22.5","physical_page":380,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","section_title_id":"Keterderivasian dan Konsistensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0121:problem:001","source_reuse_count":2,"topic":"first-order-logic","unit_id":"OLP-0121"},{"chapter":"main:22","component":"main","id":"c80:OLP-0121:problem:002:main-fol","local_reader_url":"reader.pdf#page=380","mapping":{"canonical_section_label":"fol:axd:prv:sec","canonical_section_value":["22.9","321","\\usetoken {S}{derivability} dan Konsistensi","section*.2674",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","combined_page":380,"destination":"probd*.2763","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0121","observed_import_path":"content/first-order-logic/axiomatic-deduction/provability-consistency.tex","occurrence_id":"c80:OLP-0121:problem:002:main-fol","printed_number":"22.6","source":{"block":{"bytes":84,"sha256":"5d3485f98c71e5f974493cee99b113b72a88e5e2a4e95f298fda0c786d43d7ff"},"byte_end_exclusive":2826,"byte_start":2742,"end_line":83,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":81},"source_file":{"bytes":2979,"sha256":"069b652fa3cf1c8e7719ae95d355398b866c9ecf42ff747b755ddbf5fd3b6eef"},"source_occurrence_order":171,"source_path":"content/first-order-logic/axiomatic-deduction/provability-consistency.tex","source_problem_id":"c80:OLP-0121:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":86,"sha256":"f7fd81228dae023bb381de455b40e2dcf180c3fa843fff8857d528b43f1d1190"},"byte_end_exclusive":2925,"byte_start":2839,"end_line":93,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":91},"target_file":{"bytes":3070,"sha256":"9a5f29d51ddc4b455c8ea911c67935363ec1c612d72301ffdd159161abcf38bc"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/provability-consistency.tex"},"number":"22.6","physical_page":380,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","section_title_id":"Keterderivasian dan Konsistensi","solution_state":"not_audited","source_problem_id":"c80:OLP-0121:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0121"},{"chapter":"main:22","component":"main","id":"c80:OLP-0124:problem:001:main-fol","local_reader_url":"reader.pdf#page=380","mapping":{"canonical_section_label":"fol:axd:sou:sec","canonical_section_value":["22.12","323","Kesahihan","section*.2720",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","combined_page":380,"destination":"probd*.2765","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0124","observed_import_path":"content/first-order-logic/axiomatic-deduction/soundness.tex","occurrence_id":"c80:OLP-0124:problem:001:main-fol","printed_number":"22.7","source":{"block":{"bytes":87,"sha256":"aa81d2dc08ddc1d7674f73bc63b0775846f2a4e026e247e038d80456c11525fb"},"byte_end_exclusive":4989,"byte_start":4902,"end_line":116,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":114},"source_file":{"bytes":5850,"sha256":"a3a783ae2add6b2420527ad65c82eb6a5e0c02ac8a44e3b34b757bc27985c1cf"},"source_occurrence_order":172,"source_path":"content/first-order-logic/axiomatic-deduction/soundness.tex","source_problem_id":"c80:OLP-0124:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":83,"sha256":"922f84b4859af13fa10194faa90fb03520a14661bc221df87c312eeefa7b3a19"},"byte_end_exclusive":5474,"byte_start":5391,"end_line":126,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":124},"target_file":{"bytes":6367,"sha256":"7d74a286dc99a38a0c1c158be38700387bc013c3434163c8ad080124d4e465ca"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/soundness.tex"},"number":"22.7","physical_page":380,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","section_title_id":"Kesahihan","solution_state":"not_audited","source_problem_id":"c80:OLP-0124:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0124"},{"chapter":"main:22","component":"main","id":"c80:OLP-0125:problem:001:main-fol","local_reader_url":"reader.pdf#page=380","mapping":{"canonical_section_label":"fol:axd:ide:sec","canonical_section_value":["22.13","324","\\usetoken {P}{derivation} dengan \\usetoken {S}{identity}","section*.2735",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","combined_page":380,"destination":"probd*.2767","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0125","observed_import_path":"content/first-order-logic/axiomatic-deduction/identity.tex","occurrence_id":"c80:OLP-0125:problem:001:main-fol","printed_number":"22.8","source":{"block":{"bytes":66,"sha256":"db8e4a656d7117f91c30af1a9993719837ab1e9a2f617028ed90363169526287"},"byte_end_exclusive":886,"byte_start":820,"end_line":36,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":34},"source_file":{"bytes":1355,"sha256":"424d98f16806276deeb9cc0c5e0d1f70d25dd2026f0fe25f03d65d1cde1d69e1"},"source_occurrence_order":173,"source_path":"content/first-order-logic/axiomatic-deduction/identity.tex","source_problem_id":"c80:OLP-0125:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":67,"sha256":"7f3d10db7e176d8ae44bb513cdf6e7c941f9b5d0f566b34fb7730877f619212d"},"byte_end_exclusive":892,"byte_start":825,"end_line":36,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":34},"target_file":{"bytes":1404,"sha256":"374b7ce8182cf8a6d0a8dc2c7708d23ff989adc2768b360f678ba003066a337f"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/identity.tex"},"number":"22.8","physical_page":380,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=380","section_title_id":"Derivasi dengan Predikat identitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0125:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0125"},{"chapter":"main:23","component":"main","id":"c80:OLP-0129:problem:001:main-fol","local_reader_url":"reader.pdf#page=401","mapping":{"canonical_section_label":"fol:com:ccs:sec","canonical_section_value":["23.3","329","Himpunan \\usetoken {P}{sentence} yang Lengkap dan Konsisten","section*.2771",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","combined_page":401,"destination":"probd*.2919","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0129","observed_import_path":"content/first-order-logic/completeness/complete-consistent-sets.tex","occurrence_id":"c80:OLP-0129:problem:001:main-fol","printed_number":"23.1","source":{"block":{"bytes":80,"sha256":"f671e83f73e40f33fcd39e23b7df707ba7bf64c1d1883ce28226fe24b15c283e"},"byte_end_exclusive":8978,"byte_start":8898,"end_line":214,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":212},"source_file":{"bytes":9125,"sha256":"cf7d517de5d2d257492c66f2cf16347fce490f2d932681a3f6ebd2386e9b1ffd"},"source_occurrence_order":174,"source_path":"content/first-order-logic/completeness/complete-consistent-sets.tex","source_problem_id":"c80:OLP-0129:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":76,"sha256":"ce55ec1137dc2a9451169505596ca89029be026b7a498c4ebb943e761649f40a"},"byte_end_exclusive":9244,"byte_start":9168,"end_line":220,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":218},"target_file":{"bytes":9379,"sha256":"511b66430c9ccff411eeacd30e9145672a8b7a6bb49665138e8242be1d9874b9"},"target_path":"locale/id/content/first-order-logic/completeness/complete-consistent-sets.tex"},"number":"23.1","physical_page":401,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","section_title_id":"Himpunan Kalimat yang Lengkap dan Konsisten","solution_state":"not_audited","source_problem_id":"c80:OLP-0129:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0129"},{"chapter":"main:23","component":"main","id":"c80:OLP-0133:problem:001:main-fol","local_reader_url":"reader.pdf#page=401","mapping":{"canonical_section_label":"fol:com:ide:sec","canonical_section_value":["23.7","335","Identitas","section*.2835",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","combined_page":401,"destination":"probd*.2921","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0133","observed_import_path":"content/first-order-logic/completeness/identity.tex","occurrence_id":"c80:OLP-0133:problem:001:main-fol","printed_number":"23.2","source":{"block":{"bytes":89,"sha256":"bf9b3129716dd8101dcdbef3c0773c1304c76ef26c7e98fc7b41f27cfcb5fb13"},"byte_end_exclusive":3177,"byte_start":3088,"end_line":84,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":82},"source_file":{"bytes":8036,"sha256":"2b497ead07aad76f2db101bd56768abd9bc71df7c819164edf0183656d148e7d"},"source_occurrence_order":175,"source_path":"content/first-order-logic/completeness/identity.tex","source_problem_id":"c80:OLP-0133:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":88,"sha256":"f648ffddf8e85d938e1335774f59eab34abe4d26fc97d8cc64ff9054d3507057"},"byte_end_exclusive":3321,"byte_start":3233,"end_line":84,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":82},"target_file":{"bytes":8606,"sha256":"a942eae602d6c4c17e5c15bdf604fbcb62278e42bb4f7539bc075b559f5b8b19"},"target_path":"locale/id/content/first-order-logic/completeness/identity.tex"},"number":"23.2","physical_page":401,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","section_title_id":"Identitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0133:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0133"},{"chapter":"main:23","component":"main","id":"c80:OLP-0133:problem:002:main-fol","local_reader_url":"reader.pdf#page=401","mapping":{"canonical_section_label":"fol:com:ide:sec","canonical_section_value":["23.7","335","Identitas","section*.2835",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","combined_page":401,"destination":"probd*.2923","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0133","observed_import_path":"content/first-order-logic/completeness/identity.tex","occurrence_id":"c80:OLP-0133:problem:002:main-fol","printed_number":"23.3","source":{"block":{"bytes":101,"sha256":"59fd7fdc4dbc80af555cdfc7727ab385f0f2db897880f95daf4e0152f3f65909"},"byte_end_exclusive":6772,"byte_start":6671,"end_line":173,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":171},"source_file":{"bytes":8036,"sha256":"2b497ead07aad76f2db101bd56768abd9bc71df7c819164edf0183656d148e7d"},"source_occurrence_order":176,"source_path":"content/first-order-logic/completeness/identity.tex","source_problem_id":"c80:OLP-0133:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":100,"sha256":"97babc433aa2267686337285882240dcb793cd8ae8628e422b0237e3c630d987"},"byte_end_exclusive":7241,"byte_start":7141,"end_line":180,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":178},"target_file":{"bytes":8606,"sha256":"a942eae602d6c4c17e5c15bdf604fbcb62278e42bb4f7539bc075b559f5b8b19"},"target_path":"locale/id/content/first-order-logic/completeness/identity.tex"},"number":"23.3","physical_page":401,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","section_title_id":"Identitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0133:problem:002","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0133"},{"chapter":"main:23","component":"main","id":"c80:OLP-0134:problem:001:main-fol","local_reader_url":"reader.pdf#page=401","mapping":{"canonical_section_label":"fol:com:cth:sec","canonical_section_value":["23.8","338","Teorema Kelengkapan","section*.2870",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","combined_page":401,"destination":"probd*.2925","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0134","observed_import_path":"content/first-order-logic/completeness/completeness-thm.tex","occurrence_id":"c80:OLP-0134:problem:001:main-fol","printed_number":"23.4","source":{"block":{"bytes":204,"sha256":"c8a2371366ca304a787d1167280ca41a78381ff025212f5ecc9cccb311ca0252"},"byte_end_exclusive":3316,"byte_start":3112,"end_line":88,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":84},"source_file":{"bytes":4768,"sha256":"5510644c6a3ff18e97d5e97a928d00cb0b091506e8c10bafa504c1b2c38b242b"},"source_occurrence_order":177,"source_path":"content/first-order-logic/completeness/completeness-thm.tex","source_problem_id":"c80:OLP-0134:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":211,"sha256":"40f322e742833546daacfc3227ba585b906e09260de0805cf22b2656b16cb228"},"byte_end_exclusive":3455,"byte_start":3244,"end_line":91,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":87},"target_file":{"bytes":5094,"sha256":"4b0bac6de38c3bff7964d7a6a3ddea772c3e89d3deb34728d9c670a85daf5390"},"target_path":"locale/id/content/first-order-logic/completeness/completeness-thm.tex"},"number":"23.4","physical_page":401,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","section_title_id":"Teorema Kelengkapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0134:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0134"},{"chapter":"main:23","component":"main","id":"c80:OLP-0134:problem:003:main-fol","local_reader_url":"reader.pdf#page=401","mapping":{"canonical_section_label":"fol:com:cth:sec","canonical_section_value":["23.8","338","Teorema Kelengkapan","section*.2870",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","combined_page":401,"destination":"probd*.2927","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0134","observed_import_path":"content/first-order-logic/completeness/completeness-thm.tex","occurrence_id":"c80:OLP-0134:problem:003:main-fol","printed_number":"23.5","source":{"block":{"bytes":558,"sha256":"9a84db0ac47670a8483f9165c5caa87b6b47ee6b8249a52852abd173c23061c8"},"byte_end_exclusive":4143,"byte_start":3585,"end_line":109,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":100},"source_file":{"bytes":4768,"sha256":"5510644c6a3ff18e97d5e97a928d00cb0b091506e8c10bafa504c1b2c38b242b"},"source_occurrence_order":178,"source_path":"content/first-order-logic/completeness/completeness-thm.tex","source_problem_id":"c80:OLP-0134:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":656,"sha256":"9df45efbc3d6fa70f1dc3721413ea112eeaf80587c8a3755304dae88ba2d39eb"},"byte_end_exclusive":4379,"byte_start":3723,"end_line":113,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":103},"target_file":{"bytes":5094,"sha256":"4b0bac6de38c3bff7964d7a6a3ddea772c3e89d3deb34728d9c670a85daf5390"},"target_path":"locale/id/content/first-order-logic/completeness/completeness-thm.tex"},"number":"23.5","physical_page":401,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","section_title_id":"Teorema Kelengkapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0134:problem:003","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0134"},{"chapter":"main:23","component":"main","id":"c80:OLP-0135:problem:001:main-fol","local_reader_url":"reader.pdf#page=401","mapping":{"canonical_section_label":"fol:com:com:sec","canonical_section_value":["23.9","338","Teorema Kekompakan","section*.2877",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","combined_page":401,"destination":"probd*.2929","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0135","observed_import_path":"content/first-order-logic/completeness/compactness.tex","occurrence_id":"c80:OLP-0135:problem:001:main-fol","printed_number":"23.6","source":{"block":{"bytes":78,"sha256":"da618b31d227243411cf45d32dc576c06e8844d603298105726a241c50e1e5f8"},"byte_end_exclusive":3288,"byte_start":3210,"end_line":81,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":79},"source_file":{"bytes":9051,"sha256":"a872b7018576b26eb53179792e27b5b0af3338b5220712086e1be7d928b3d65c"},"source_occurrence_order":179,"source_path":"content/first-order-logic/completeness/compactness.tex","source_problem_id":"c80:OLP-0135:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":81,"sha256":"1417e3c2906b87157c14bf2efc58f34108b251b36020c6088778f1da5924e4f0"},"byte_end_exclusive":3691,"byte_start":3610,"end_line":89,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":87},"target_file":{"bytes":10238,"sha256":"f2fc3640457ef267ef280c20867bdd8531be3968cb2a6e826b7478afcd5b25dd"},"target_path":"locale/id/content/first-order-logic/completeness/compactness.tex"},"number":"23.6","physical_page":401,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=401","section_title_id":"Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0135:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0135"},{"chapter":"main:23","component":"main","id":"c80:OLP-0135:problem:003:main-fol","local_reader_url":"reader.pdf#page=402","mapping":{"canonical_section_label":"fol:com:com:sec","canonical_section_value":["23.9","338","Teorema Kekompakan","section*.2877",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","combined_page":402,"destination":"probd*.2931","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0135","observed_import_path":"content/first-order-logic/completeness/compactness.tex","occurrence_id":"c80:OLP-0135:problem:003:main-fol","printed_number":"23.7","source":{"block":{"bytes":530,"sha256":"12337a554d0497e675e5f2ac9753da740f1132c9bf758420b7be99cd1cda2940"},"byte_end_exclusive":7598,"byte_start":7068,"end_line":166,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":157},"source_file":{"bytes":9051,"sha256":"a872b7018576b26eb53179792e27b5b0af3338b5220712086e1be7d928b3d65c"},"source_occurrence_order":180,"source_path":"content/first-order-logic/completeness/compactness.tex","source_problem_id":"c80:OLP-0135:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":514,"sha256":"801e1a1e97e098525cadbe6ffe9a26272926999398e29d6906acec67a193d887"},"byte_end_exclusive":8490,"byte_start":7976,"end_line":182,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":174},"target_file":{"bytes":10238,"sha256":"f2fc3640457ef267ef280c20867bdd8531be3968cb2a6e826b7478afcd5b25dd"},"target_path":"locale/id/content/first-order-logic/completeness/compactness.tex"},"number":"23.7","physical_page":402,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","section_title_id":"Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0135:problem:003","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0135"},{"chapter":"main:23","component":"main","id":"c80:OLP-0136:problem:001:main-fol","local_reader_url":"reader.pdf#page=402","mapping":{"canonical_section_label":"fol:com:cpd:sec","canonical_section_value":["23.10","340","Pembuktian Langsung Teorema Kekompakan","section*.2891",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","combined_page":402,"destination":"probd*.2933","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0136","observed_import_path":"content/first-order-logic/completeness/compactness-direct.tex","occurrence_id":"c80:OLP-0136:problem:001:main-fol","printed_number":"23.8","source":{"block":{"bytes":97,"sha256":"70487cf0c96791436df87ebed5cae518e6af1c3809f21da3f49bb7ca94e5afcd"},"byte_end_exclusive":1720,"byte_start":1623,"end_line":49,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"source_file":{"bytes":5558,"sha256":"e6398fcc96ac7a2e787c5128d1b2dbf8f515dbd0e780004831abcfd0c3f327d8"},"source_occurrence_order":181,"source_path":"content/first-order-logic/completeness/compactness-direct.tex","source_problem_id":"c80:OLP-0136:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":100,"sha256":"9fbffd9b9202db9b3be597b693f81257d115a7b767ff8b60cfcf6cc272d8a888"},"byte_end_exclusive":1838,"byte_start":1738,"end_line":51,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":48},"target_file":{"bytes":6005,"sha256":"fd3eb3eefc7ca9366e8bfb896ab48a2a61e81113c567d1818eb4a7ea2f495e9a"},"target_path":"locale/id/content/first-order-logic/completeness/compactness-direct.tex"},"number":"23.8","physical_page":402,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","section_title_id":"Pembuktian Langsung Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0136:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0136"},{"chapter":"main:23","component":"main","id":"c80:OLP-0136:problem:003:main-fol","local_reader_url":"reader.pdf#page=402","mapping":{"canonical_section_label":"fol:com:cpd:sec","canonical_section_value":["23.10","340","Pembuktian Langsung Teorema Kekompakan","section*.2891",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","combined_page":402,"destination":"probd*.2935","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0136","observed_import_path":"content/first-order-logic/completeness/compactness-direct.tex","occurrence_id":"c80:OLP-0136:problem:003:main-fol","printed_number":"23.9","source":{"block":{"bytes":239,"sha256":"59c2099e8e5a2ca6f5f6c39af6f5598c439d6d8da1a30d8e559ebcbe45259f30"},"byte_end_exclusive":2303,"byte_start":2064,"end_line":70,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":66},"source_file":{"bytes":5558,"sha256":"e6398fcc96ac7a2e787c5128d1b2dbf8f515dbd0e780004831abcfd0c3f327d8"},"source_occurrence_order":182,"source_path":"content/first-order-logic/completeness/compactness-direct.tex","source_problem_id":"c80:OLP-0136:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":275,"sha256":"b193b04c6335454ce5da35753fbd57cf954b66d03adfbd1c388c1a2b9ecbd95d"},"byte_end_exclusive":2491,"byte_start":2216,"end_line":75,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":70},"target_file":{"bytes":6005,"sha256":"fd3eb3eefc7ca9366e8bfb896ab48a2a61e81113c567d1818eb4a7ea2f495e9a"},"target_path":"locale/id/content/first-order-logic/completeness/compactness-direct.tex"},"number":"23.9","physical_page":402,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","section_title_id":"Pembuktian Langsung Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0136:problem:003","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0136"},{"chapter":"main:23","component":"main","id":"c80:OLP-0136:problem:004:main-fol","local_reader_url":"reader.pdf#page=402","mapping":{"canonical_section_label":"fol:com:cpd:sec","canonical_section_value":["23.10","340","Pembuktian Langsung Teorema Kekompakan","section*.2891",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","combined_page":402,"destination":"probd*.2937","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0136","observed_import_path":"content/first-order-logic/completeness/compactness-direct.tex","occurrence_id":"c80:OLP-0136:problem:004:main-fol","printed_number":"23.10","source":{"block":{"bytes":75,"sha256":"74da675a42cf32d444d6e64415357fea6396584a2b03ccb09ad7dcd200928f83"},"byte_end_exclusive":2827,"byte_start":2752,"end_line":88,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":86},"source_file":{"bytes":5558,"sha256":"e6398fcc96ac7a2e787c5128d1b2dbf8f515dbd0e780004831abcfd0c3f327d8"},"source_occurrence_order":183,"source_path":"content/first-order-logic/completeness/compactness-direct.tex","source_problem_id":"c80:OLP-0136:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":76,"sha256":"3fc224300c51cd1d24fa7484ae76835cc985b6d3770623b24b6ae1883fc1dd0a"},"byte_end_exclusive":3056,"byte_start":2980,"end_line":93,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":91},"target_file":{"bytes":6005,"sha256":"fd3eb3eefc7ca9366e8bfb896ab48a2a61e81113c567d1818eb4a7ea2f495e9a"},"target_path":"locale/id/content/first-order-logic/completeness/compactness-direct.tex"},"number":"23.10","physical_page":402,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","section_title_id":"Pembuktian Langsung Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0136:problem:004","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0136"},{"chapter":"main:23","component":"main","id":"c80:OLP-0136:problem:005:main-fol","local_reader_url":"reader.pdf#page=402","mapping":{"canonical_section_label":"fol:com:cpd:sec","canonical_section_value":["23.10","340","Pembuktian Langsung Teorema Kekompakan","section*.2891",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","combined_page":402,"destination":"probd*.2939","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0136","observed_import_path":"content/first-order-logic/completeness/compactness-direct.tex","occurrence_id":"c80:OLP-0136:problem:005:main-fol","printed_number":"23.11","source":{"block":{"bytes":255,"sha256":"da438e76707828e2d1cb79f4d2589aa70fa292e35299e7dbd83d2809cddd7b18"},"byte_end_exclusive":3287,"byte_start":3032,"end_line":103,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":98},"source_file":{"bytes":5558,"sha256":"e6398fcc96ac7a2e787c5128d1b2dbf8f515dbd0e780004831abcfd0c3f327d8"},"source_occurrence_order":184,"source_path":"content/first-order-logic/completeness/compactness-direct.tex","source_problem_id":"c80:OLP-0136:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":294,"sha256":"2794606521a10013bc038d3fb5818429882c7080fd0a2415f1374494f026c3c6"},"byte_end_exclusive":3593,"byte_start":3299,"end_line":108,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":103},"target_file":{"bytes":6005,"sha256":"fd3eb3eefc7ca9366e8bfb896ab48a2a61e81113c567d1818eb4a7ea2f495e9a"},"target_path":"locale/id/content/first-order-logic/completeness/compactness-direct.tex"},"number":"23.11","physical_page":402,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","section_title_id":"Pembuktian Langsung Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0136:problem:005","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0136"},{"chapter":"main:23","component":"main","id":"c80:OLP-0136:problem:007:main-fol","local_reader_url":"reader.pdf#page=402","mapping":{"canonical_section_label":"fol:com:cpd:sec","canonical_section_value":["23.10","340","Pembuktian Langsung Teorema Kekompakan","section*.2891",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","combined_page":402,"destination":"probd*.2941","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0136","observed_import_path":"content/first-order-logic/completeness/compactness-direct.tex","occurrence_id":"c80:OLP-0136:problem:007:main-fol","printed_number":"23.12","source":{"block":{"bytes":198,"sha256":"3db74c9ddc5ee90d20750becc9d3cf4c7943f04622aa086e55f2f2227214c0de"},"byte_end_exclusive":5294,"byte_start":5096,"end_line":150,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":7,"start_line":146},"source_file":{"bytes":5558,"sha256":"e6398fcc96ac7a2e787c5128d1b2dbf8f515dbd0e780004831abcfd0c3f327d8"},"source_occurrence_order":185,"source_path":"content/first-order-logic/completeness/compactness-direct.tex","source_problem_id":"c80:OLP-0136:problem:007","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":192,"sha256":"0a897352160687ab01a3b92a44c003cc0560546994978b4801510a8cc0566cf6"},"byte_end_exclusive":5755,"byte_start":5563,"end_line":159,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":7,"start_line":155},"target_file":{"bytes":6005,"sha256":"fd3eb3eefc7ca9366e8bfb896ab48a2a61e81113c567d1818eb4a7ea2f495e9a"},"target_path":"locale/id/content/first-order-logic/completeness/compactness-direct.tex"},"number":"23.12","physical_page":402,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=402","section_title_id":"Pembuktian Langsung Teorema Kekompakan","solution_state":"not_audited","source_problem_id":"c80:OLP-0136:problem:007","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0136"},{"chapter":"main:25","component":"main","id":"c80:OLP-0184:problem:001:main-fol","local_reader_url":"reader.pdf#page=431","mapping":{"canonical_section_label":"mod:bas::chap","canonical_section_value":["25","358","Dasar-Dasar Teori Model","chapter*.2995",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=431","combined_page":431,"destination":"probd*.3113","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0184","observed_import_path":"content/model-theory/basics/reducts-and-expansions.tex","occurrence_id":"c80:OLP-0184:problem:001:main-fol","printed_number":"25.1","source":{"block":{"bytes":67,"sha256":"ef6beafbb20b85a69eb35b2238d53e8627f164f97ec41bfee2fdd5d78f1a99f3"},"byte_end_exclusive":1951,"byte_start":1884,"end_line":57,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":55},"source_file":{"bytes":2342,"sha256":"f570b7501195fe1f9f137521c31af6e33c31c6d87d304e82649408b523aec20d"},"source_occurrence_order":186,"source_path":"content/model-theory/basics/reducts-and-expansions.tex","source_problem_id":"c80:OLP-0184:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":68,"sha256":"e8cc60bc122fdc75694d99c1ba641e085f95df0da502727a03e52181eabf0a29"},"byte_end_exclusive":2036,"byte_start":1968,"end_line":59,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":57},"target_file":{"bytes":2457,"sha256":"2ec4dee5ed0193a016974974a0b863051c504a7ea0b7860982dbf76a2feecacf"},"target_path":"locale/id/content/model-theory/basics/reducts-and-expansions.tex"},"number":"25.1","physical_page":431,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=431","section_title_id":"Dasar-Dasar Teori Model","solution_state":"not_audited","source_problem_id":"c80:OLP-0184:problem:001","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0184"},{"chapter":"main:25","component":"main","id":"c80:OLP-0187:problem:001:main-fol","local_reader_url":"reader.pdf#page=431","mapping":{"canonical_section_label":"mod:bas:iso:sec","canonical_section_value":["25.4","360","Struktur-Struktur Isomorfik","section*.3024",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=431","combined_page":431,"destination":"probd*.3115","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0187","observed_import_path":"content/model-theory/basics/isomorphism.tex","occurrence_id":"c80:OLP-0187:problem:001:main-fol","printed_number":"25.2","source":{"block":{"bytes":233,"sha256":"f8a91cdbbda43d6948095054795d5eb54f50c83d04958551f6db861045d56db4"},"byte_end_exclusive":4937,"byte_start":4704,"end_line":117,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":112},"source_file":{"bytes":5316,"sha256":"400ced4b63fe2ab03f95db16b1169e3bfa382ae0b4346c839c36220f51aac563"},"source_occurrence_order":187,"source_path":"content/model-theory/basics/isomorphism.tex","source_problem_id":"c80:OLP-0187:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":253,"sha256":"7e05b2d083ca750944e88765dc12a90b9f6b0ced90e76af1586147eabeda7f11"},"byte_end_exclusive":5341,"byte_start":5088,"end_line":124,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":119},"target_file":{"bytes":5764,"sha256":"d6796fd03e7dec30c975a5be47b0c921eb739e20a34a05a4ed4b5c7629b3b67a"},"target_path":"locale/id/content/model-theory/basics/isomorphism.tex"},"number":"25.2","physical_page":431,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=431","section_title_id":"Struktur-Struktur Isomorfik","solution_state":"not_audited","source_problem_id":"c80:OLP-0187:problem:001","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0187"},{"chapter":"main:25","component":"main","id":"c80:OLP-0187:problem:002:main-fol","local_reader_url":"reader.pdf#page=431","mapping":{"canonical_section_label":"mod:bas:iso:sec","canonical_section_value":["25.4","360","Struktur-Struktur Isomorfik","section*.3024",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=431","combined_page":431,"destination":"probd*.3117","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0187","observed_import_path":"content/model-theory/basics/isomorphism.tex","occurrence_id":"c80:OLP-0187:problem:002:main-fol","printed_number":"25.3","source":{"block":{"bytes":225,"sha256":"251668e332704946b9a3cf971cc0eb54eed78d0ae84814a28a143cc86664a6ae"},"byte_end_exclusive":5294,"byte_start":5069,"end_line":128,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":124},"source_file":{"bytes":5316,"sha256":"400ced4b63fe2ab03f95db16b1169e3bfa382ae0b4346c839c36220f51aac563"},"source_occurrence_order":188,"source_path":"content/model-theory/basics/isomorphism.tex","source_problem_id":"c80:OLP-0187:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":255,"sha256":"8ae6a6c5ca62a1188241d5b4e6513f2824482f89c999b70fc151f30a5ed3f371"},"byte_end_exclusive":5747,"byte_start":5492,"end_line":136,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":131},"target_file":{"bytes":5764,"sha256":"d6796fd03e7dec30c975a5be47b0c921eb739e20a34a05a4ed4b5c7629b3b67a"},"target_path":"locale/id/content/model-theory/basics/isomorphism.tex"},"number":"25.3","physical_page":431,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=431","section_title_id":"Struktur-Struktur Isomorfik","solution_state":"not_audited","source_problem_id":"c80:OLP-0187:problem:002","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0187"},{"chapter":"main:25","component":"main","id":"c80:OLP-0189:problem:001:main-fol","local_reader_url":"reader.pdf#page=431","mapping":{"canonical_section_label":"mod:bas::chap","canonical_section_value":["25","358","Dasar-Dasar Teori Model","chapter*.2995",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=431","combined_page":431,"destination":"probd*.3119","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0189","observed_import_path":"content/model-theory/basics/partial-iso.tex","occurrence_id":"c80:OLP-0189:problem:001:main-fol","printed_number":"25.4","source":{"block":{"bytes":130,"sha256":"ed38a5a5b062e76f754787781363560bdb4d68a92f10e6506d475a1a3cbaabc4"},"byte_end_exclusive":3226,"byte_start":3096,"end_line":83,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":80},"source_file":{"bytes":9702,"sha256":"9233c0428a52f321404fd272342e7e2ad90b16efcc7c6a0c5d766717eb739e97"},"source_occurrence_order":189,"source_path":"content/model-theory/basics/partial-iso.tex","source_problem_id":"c80:OLP-0189:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":168,"sha256":"da64303d93b818924c487cbaac3c3eef4483b04297c9df6516199b362ee10bf1"},"byte_end_exclusive":3354,"byte_start":3186,"end_line":81,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":78},"target_file":{"bytes":10789,"sha256":"99b60edc8873fc776f48cba2eabab075722fc24abb6bf7c2c3d3bc1726e7e9ad"},"target_path":"locale/id/content/model-theory/basics/partial-iso.tex"},"number":"25.4","physical_page":431,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=431","section_title_id":"Dasar-Dasar Teori Model","solution_state":"not_audited","source_problem_id":"c80:OLP-0189:problem:001","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0189"},{"chapter":"main:25","component":"main","id":"c80:OLP-0190:problem:001:main-fol","local_reader_url":"reader.pdf#page=431","mapping":{"canonical_section_label":"mod:bas::chap","canonical_section_value":["25","358","Dasar-Dasar Teori Model","chapter*.2995",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=431","combined_page":431,"destination":"probd*.3121","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0190","observed_import_path":"content/model-theory/basics/dlo.tex","occurrence_id":"c80:OLP-0190:problem:001:main-fol","printed_number":"25.5","source":{"block":{"bytes":145,"sha256":"be6925088eb9810e02814cf5b5dad5d54d69f94036e642dcc60d30e4922726be"},"byte_end_exclusive":2658,"byte_start":2513,"end_line":66,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":63},"source_file":{"bytes":3593,"sha256":"2176d8add7d120c359c3a1f83010e0dcbcfa8a70c3d7595bf87931eb67354a8a"},"source_occurrence_order":190,"source_path":"content/model-theory/basics/dlo.tex","source_problem_id":"c80:OLP-0190:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":138,"sha256":"8ea1a83372ee354c24100c8ae7c71a2902e141ea05eac8a20e732b65d5708aa8"},"byte_end_exclusive":3334,"byte_start":3196,"end_line":75,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":72},"target_file":{"bytes":4341,"sha256":"2b51e8ca5f2cc7be5d411b76b921bff42252366088b3f0c66bcdf3f45fdcba00"},"target_path":"locale/id/content/model-theory/basics/dlo.tex"},"number":"25.5","physical_page":431,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=431","section_title_id":"Dasar-Dasar Teori Model","solution_state":"not_audited","source_problem_id":"c80:OLP-0190:problem:001","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0190"},{"chapter":"main:26","component":"main","id":"c80:OLP-0193:problem:001:main-fol","local_reader_url":"reader.pdf#page=445","mapping":{"canonical_section_label":"mod:mar:stm:sec","canonical_section_value":["26.2","367","Model Standar Aritmetika","section*.3124",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=445","combined_page":445,"destination":"probd*.3201","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0193","observed_import_path":"content/model-theory/models-of-arithmetic/standard-models.tex","occurrence_id":"c80:OLP-0193:problem:001:main-fol","printed_number":"26.1","source":{"block":{"bytes":261,"sha256":"80f2bf56b6eea12d0e63b73f27a600ecd9dc090c375ee582bf8fcdfcea227beb"},"byte_end_exclusive":2248,"byte_start":1987,"end_line":57,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":52},"source_file":{"bytes":8027,"sha256":"27e39b49bb28308233f0874de2d15ff5f33d61cc294acfa635bde0bbe4710019"},"source_occurrence_order":191,"source_path":"content/model-theory/models-of-arithmetic/standard-models.tex","source_problem_id":"c80:OLP-0193:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":259,"sha256":"9896cf0d97b3da9143fcd527a8ad1da0c3834f9cca1dbe453c826654e4729c29"},"byte_end_exclusive":2378,"byte_start":2119,"end_line":59,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":53},"target_file":{"bytes":8498,"sha256":"ba088247a64abe988f2ba8fe573645aa4cf479e489394fd2908ad33236478381"},"target_path":"locale/id/content/model-theory/models-of-arithmetic/standard-models.tex"},"number":"26.1","physical_page":445,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=445","section_title_id":"Model Standar Aritmetika","solution_state":"not_audited","source_problem_id":"c80:OLP-0193:problem:001","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0193"},{"chapter":"main:26","component":"main","id":"c80:OLP-0194:problem:001:main-fol","local_reader_url":"reader.pdf#page=445","mapping":{"canonical_section_label":"mod:mar::chap","canonical_section_value":["26","366","Model-Model Aritmetika","chapter*.3122",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=445","combined_page":445,"destination":"probd*.3203","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0194","observed_import_path":"content/model-theory/models-of-arithmetic/non-standard-models.tex","occurrence_id":"c80:OLP-0194:problem:001:main-fol","printed_number":"26.2","source":{"block":{"bytes":704,"sha256":"79cb2ccfb1136536db2a406d9bddec5a544df01a0943ae5da704d6d8306334a0"},"byte_end_exclusive":2438,"byte_start":1734,"end_line":64,"environment":"prob","environments":["align*","enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":49},"source_file":{"bytes":4779,"sha256":"0895b776d3e5ded7c9695e63ec9f268dd0e096b38040c558624f4784c3024fcc"},"source_occurrence_order":192,"source_path":"content/model-theory/models-of-arithmetic/non-standard-models.tex","source_problem_id":"c80:OLP-0194:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":730,"sha256":"3d13595ee2665a170dee050716d2b89370ed743d8fc714a6578c43efc6da6995"},"byte_end_exclusive":2820,"byte_start":2090,"end_line":68,"environment":"prob","environments":["align*","enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":52},"target_file":{"bytes":5682,"sha256":"9db7cabfc574cc05fab3c6db3c6dd177fedec1085d23731dfad282bad90e98b5"},"target_path":"locale/id/content/model-theory/models-of-arithmetic/non-standard-models.tex"},"number":"26.2","physical_page":445,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=445","section_title_id":"Model-Model Aritmetika","solution_state":"not_audited","source_problem_id":"c80:OLP-0194:problem:001","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0194"},{"chapter":"main:26","component":"main","id":"c80:OLP-0195:problem:001:main-fol","local_reader_url":"reader.pdf#page=445","mapping":{"canonical_section_label":"mod:mar::chap","canonical_section_value":["26","366","Model-Model Aritmetika","chapter*.3122",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=445","combined_page":445,"destination":"probd*.3214","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0195","observed_import_path":"content/model-theory/models-of-arithmetic/models-of-q.tex","occurrence_id":"c80:OLP-0195:problem:001:main-fol","printed_number":"26.3","source":{"block":{"bytes":498,"sha256":"ace54eef3127af5d571a85d51760e5da7eb474eef956364eccc3e68b294d1940"},"byte_end_exclusive":5039,"byte_start":4541,"end_line":131,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":121},"source_file":{"bytes":8047,"sha256":"e7f932a05807df4e416bb015cc0aac662de3fb3f0a9f8e3e0ea1a9a4f1283aa7"},"source_occurrence_order":193,"source_path":"content/model-theory/models-of-arithmetic/models-of-q.tex","source_problem_id":"c80:OLP-0195:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":531,"sha256":"d1da8590d22832c8a20390dcad6ecdbb0d52574bd212f084bc733e6d6eacc26a"},"byte_end_exclusive":5319,"byte_start":4788,"end_line":142,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":130},"target_file":{"bytes":8451,"sha256":"cac0c778335ce4f67fb7b351b2deaa8e9829038441dd910988ecb8050000e9d8"},"target_path":"locale/id/content/model-theory/models-of-arithmetic/models-of-q.tex"},"number":"26.3","physical_page":445,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=445","section_title_id":"Model-Model Aritmetika","solution_state":"not_audited","source_problem_id":"c80:OLP-0195:problem:001","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0195"},{"chapter":"main:26","component":"main","id":"c80:OLP-0195:problem:002:main-fol","local_reader_url":"reader.pdf#page=445","mapping":{"canonical_section_label":"mod:mar::chap","canonical_section_value":["26","366","Model-Model Aritmetika","chapter*.3122",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=445","combined_page":445,"destination":"probd*.3222","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0195","observed_import_path":"content/model-theory/models-of-arithmetic/models-of-q.tex","occurrence_id":"c80:OLP-0195:problem:002:main-fol","printed_number":"26.4","source":{"block":{"bytes":490,"sha256":"586fad635e3588b2ba7243276f679a87eb6e0cd17cf28d2cebc5ef19fa70eb47"},"byte_end_exclusive":7234,"byte_start":6744,"end_line":185,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":176},"source_file":{"bytes":8047,"sha256":"e7f932a05807df4e416bb015cc0aac662de3fb3f0a9f8e3e0ea1a9a4f1283aa7"},"source_occurrence_order":194,"source_path":"content/model-theory/models-of-arithmetic/models-of-q.tex","source_problem_id":"c80:OLP-0195:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":506,"sha256":"8db0b753dde19b0c938936df1643dda7f68f10092435d0be25e9d380d20c44af"},"byte_end_exclusive":7566,"byte_start":7060,"end_line":202,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":191},"target_file":{"bytes":8451,"sha256":"cac0c778335ce4f67fb7b351b2deaa8e9829038441dd910988ecb8050000e9d8"},"target_path":"locale/id/content/model-theory/models-of-arithmetic/models-of-q.tex"},"number":"26.4","physical_page":445,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=445","section_title_id":"Model-Model Aritmetika","solution_state":"not_audited","source_problem_id":"c80:OLP-0195:problem:002","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0195"},{"chapter":"main:26","component":"main","id":"c80:OLP-0195:problem:003:main-fol","local_reader_url":"reader.pdf#page=445","mapping":{"canonical_section_label":"mod:mar::chap","canonical_section_value":["26","366","Model-Model Aritmetika","chapter*.3122",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=445","combined_page":445,"destination":"probd*.3230","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0195","observed_import_path":"content/model-theory/models-of-arithmetic/models-of-q.tex","occurrence_id":"c80:OLP-0195:problem:003:main-fol","printed_number":"26.5","source":{"block":{"bytes":198,"sha256":"e89b6bc024214ce3febc8630601db616b44d658ce19fc6278bd777c16a235e97"},"byte_end_exclusive":7436,"byte_start":7238,"end_line":191,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":187},"source_file":{"bytes":8047,"sha256":"e7f932a05807df4e416bb015cc0aac662de3fb3f0a9f8e3e0ea1a9a4f1283aa7"},"source_occurrence_order":195,"source_path":"content/model-theory/models-of-arithmetic/models-of-q.tex","source_problem_id":"c80:OLP-0195:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":208,"sha256":"36388c33e834b57057915b258fd874d90f4d8f2dfc501c1414bca87a461ff792"},"byte_end_exclusive":7776,"byte_start":7568,"end_line":208,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":204},"target_file":{"bytes":8451,"sha256":"cac0c778335ce4f67fb7b351b2deaa8e9829038441dd910988ecb8050000e9d8"},"target_path":"locale/id/content/model-theory/models-of-arithmetic/models-of-q.tex"},"number":"26.5","physical_page":445,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=445","section_title_id":"Model-Model Aritmetika","solution_state":"not_audited","source_problem_id":"c80:OLP-0195:problem:003","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0195"},{"chapter":"main:26","component":"main","id":"c80:OLP-0196:problem:001:main-fol","local_reader_url":"reader.pdf#page=446","mapping":{"canonical_section_label":"mod:mar::chap","canonical_section_value":["26","366","Model-Model Aritmetika","chapter*.3122",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=446","combined_page":446,"destination":"probd*.3232","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0196","observed_import_path":"content/model-theory/models-of-arithmetic/models-of-pa.tex","occurrence_id":"c80:OLP-0196:problem:001:main-fol","printed_number":"26.6","source":{"block":{"bytes":235,"sha256":"55ddbc2f5a91d52e9a6eee4c77e3eab412e5c6d103f1946a9dab47ef097936b3"},"byte_end_exclusive":3032,"byte_start":2797,"end_line":78,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":73},"source_file":{"bytes":10747,"sha256":"8c4dec337b74d9a8dd3cb6a65065ba12e883518dba2a17834041d01d85c219be"},"source_occurrence_order":196,"source_path":"content/model-theory/models-of-arithmetic/models-of-pa.tex","source_problem_id":"c80:OLP-0196:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":248,"sha256":"0cb6f30c277050442e9de670049aa6cedb46281ff89773f476fcf3e431a0cb2d"},"byte_end_exclusive":3300,"byte_start":3052,"end_line":79,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":74},"target_file":{"bytes":11657,"sha256":"cc7ef489662e2f913627d9be0589f68c3ca052745e999105100c6dceca79632c"},"target_path":"locale/id/content/model-theory/models-of-arithmetic/models-of-pa.tex"},"number":"26.6","physical_page":446,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=446","section_title_id":"Model-Model Aritmetika","solution_state":"not_audited","source_problem_id":"c80:OLP-0196:problem:001","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0196"},{"chapter":"main:26","component":"main","id":"c80:OLP-0196:problem:002:main-fol","local_reader_url":"reader.pdf#page=446","mapping":{"canonical_section_label":"mod:mar::chap","canonical_section_value":["26","366","Model-Model Aritmetika","chapter*.3122",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=446","combined_page":446,"destination":"probd*.3234","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0196","observed_import_path":"content/model-theory/models-of-arithmetic/models-of-pa.tex","occurrence_id":"c80:OLP-0196:problem:002:main-fol","printed_number":"26.7","source":{"block":{"bytes":101,"sha256":"1c082113c97b23cb27d76ea0be94d8a7c95b376c9eb068209011fe4ba7054886"},"byte_end_exclusive":8474,"byte_start":8373,"end_line":213,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":210},"source_file":{"bytes":10747,"sha256":"8c4dec337b74d9a8dd3cb6a65065ba12e883518dba2a17834041d01d85c219be"},"source_occurrence_order":197,"source_path":"content/model-theory/models-of-arithmetic/models-of-pa.tex","source_problem_id":"c80:OLP-0196:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":109,"sha256":"5d4b93fa038939d1d23acee44940e102de60dea663c5cb8a17ddb8a52b8a5a74"},"byte_end_exclusive":9213,"byte_start":9104,"end_line":223,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":220},"target_file":{"bytes":11657,"sha256":"cc7ef489662e2f913627d9be0589f68c3ca052745e999105100c6dceca79632c"},"target_path":"locale/id/content/model-theory/models-of-arithmetic/models-of-pa.tex"},"number":"26.7","physical_page":446,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=446","section_title_id":"Model-Model Aritmetika","solution_state":"not_audited","source_problem_id":"c80:OLP-0196:problem:002","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0196"},{"chapter":"main:26","component":"main","id":"c80:OLP-0196:problem:003:main-fol","local_reader_url":"reader.pdf#page=446","mapping":{"canonical_section_label":"mod:mar::chap","canonical_section_value":["26","366","Model-Model Aritmetika","chapter*.3122",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=446","combined_page":446,"destination":"probd*.3236","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0196","observed_import_path":"content/model-theory/models-of-arithmetic/models-of-pa.tex","occurrence_id":"c80:OLP-0196:problem:003:main-fol","printed_number":"26.8","source":{"block":{"bytes":276,"sha256":"96bc22221601c2194178df666bb871323a731a3892f6c4e0c4cbaace0ba86caa"},"byte_end_exclusive":9297,"byte_start":9021,"end_line":236,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":230},"source_file":{"bytes":10747,"sha256":"8c4dec337b74d9a8dd3cb6a65065ba12e883518dba2a17834041d01d85c219be"},"source_occurrence_order":198,"source_path":"content/model-theory/models-of-arithmetic/models-of-pa.tex","source_problem_id":"c80:OLP-0196:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":275,"sha256":"ca42b75ca4650ebc3906f1a8b91d1087aeb6611e3cc9b909278a53309305b3fc"},"byte_end_exclusive":10040,"byte_start":9765,"end_line":246,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":240},"target_file":{"bytes":11657,"sha256":"cc7ef489662e2f913627d9be0589f68c3ca052745e999105100c6dceca79632c"},"target_path":"locale/id/content/model-theory/models-of-arithmetic/models-of-pa.tex"},"number":"26.8","physical_page":446,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=446","section_title_id":"Model-Model Aritmetika","solution_state":"not_audited","source_problem_id":"c80:OLP-0196:problem:003","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0196"},{"chapter":"main:26","component":"main","id":"c80:OLP-0197:problem:001:main-fol","local_reader_url":"reader.pdf#page=446","mapping":{"canonical_section_label":"mod:mar::chap","canonical_section_value":["26","366","Model-Model Aritmetika","chapter*.3122",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=446","combined_page":446,"destination":"probd*.3238","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0197","observed_import_path":"content/model-theory/models-of-arithmetic/computable-models.tex","occurrence_id":"c80:OLP-0197:problem:001:main-fol","printed_number":"26.9","source":{"block":{"bytes":156,"sha256":"024554621478673635866ba2ac814c4981facf503eac60a8305f758e6abe8732"},"byte_end_exclusive":4371,"byte_start":4215,"end_line":110,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":107},"source_file":{"bytes":4759,"sha256":"79a6a13d59f055788182e0fe9117c3e98782317a71ac747db0e7483ca118cac5"},"source_occurrence_order":199,"source_path":"content/model-theory/models-of-arithmetic/computable-models.tex","source_problem_id":"c80:OLP-0197:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":168,"sha256":"0a0140bcce95ba4a399eb2801dd24d25aa59aa9e3f92cab341ed431a56eda4e6"},"byte_end_exclusive":4580,"byte_start":4412,"end_line":109,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":105},"target_file":{"bytes":5043,"sha256":"0264a073e61750ce378a0574cc77c98f52fde7b8866a489629e792c2b5fc3d92"},"target_path":"locale/id/content/model-theory/models-of-arithmetic/computable-models.tex"},"number":"26.9","physical_page":446,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=446","section_title_id":"Model-Model Aritmetika","solution_state":"not_audited","source_problem_id":"c80:OLP-0197:problem:001","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0197"},{"chapter":"main:29","component":"main","id":"c80:OLP-0213:problem:001:main-fol","local_reader_url":"reader.pdf#page=490","mapping":{"canonical_section_label":"cmp:rec:prf:sec","canonical_section_value":["29.4","395","Fungsi Rekursif Primitif","section*.3318",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=490","combined_page":490,"destination":"probd*.3438","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0213","observed_import_path":"content/computability/recursive-functions/pr-functions.tex","occurrence_id":"c80:OLP-0213:problem:001:main-fol","printed_number":"29.1","source":{"block":{"bytes":310,"sha256":"8243378c5ce012291eb05a335e2d9430b146fbd5c62e445e6b841485beae8f95"},"byte_end_exclusive":4787,"byte_start":4477,"end_line":131,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":125},"source_file":{"bytes":6082,"sha256":"1bb48caec3680c643d88cee6a910542ce36852e8f97b4e1728d4b5fc59d8f22f"},"source_occurrence_order":200,"source_path":"content/computability/recursive-functions/pr-functions.tex","source_problem_id":"c80:OLP-0213:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":315,"sha256":"685449083df6b00829e092a208849bd1a90fb8c48fff6f87246a97c9fedc1bd6"},"byte_end_exclusive":4968,"byte_start":4653,"end_line":128,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":123},"target_file":{"bytes":6306,"sha256":"aab48ec733e9f3daa58721215f2a15c330077c67455d9347c3209e09b3fe0f65"},"target_path":"locale/id/content/computability/recursive-functions/pr-functions.tex"},"number":"29.1","physical_page":490,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=490","section_title_id":"Fungsi Rekursif Primitif","solution_state":"not_audited","source_problem_id":"c80:OLP-0213:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0213"},{"chapter":"main:29","component":"main","id":"c80:OLP-0214:problem:001:main-fol","local_reader_url":"reader.pdf#page=490","mapping":{"canonical_section_label":"cmp:rec:not:sec","canonical_section_value":["29.5","397","Notasi Rekursi Primitif","section*.3338",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=490","combined_page":490,"destination":"probd*.3440","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0214","observed_import_path":"content/computability/recursive-functions/notation-pr-functions.tex","occurrence_id":"c80:OLP-0214:problem:001:main-fol","printed_number":"29.2","source":{"block":{"bytes":87,"sha256":"cfefd0b139cd955fa277a9bfce2aa1ad9b9fab5dba712abddc2d872b305e73d2"},"byte_end_exclusive":2114,"byte_start":2027,"end_line":49,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"source_file":{"bytes":2134,"sha256":"6018c8fb8ec86201286b019a60163a63ca076925d3044dde7060394822241272"},"source_occurrence_order":201,"source_path":"content/computability/recursive-functions/notation-pr-functions.tex","source_problem_id":"c80:OLP-0214:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":81,"sha256":"4948e17288e303bf0cd10d393bea782efc32412c591b62bd7ac867508875c0d9"},"byte_end_exclusive":2248,"byte_start":2167,"end_line":49,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"target_file":{"bytes":2265,"sha256":"7a40c15cf26721ecfc4063307cadce211184c8c710027d63bf75ae1b9de6d9bb"},"target_path":"locale/id/content/computability/recursive-functions/notation-pr-functions.tex"},"number":"29.2","physical_page":490,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=490","section_title_id":"Notasi Rekursi Primitif","solution_state":"not_audited","source_problem_id":"c80:OLP-0214:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0214"},{"chapter":"main:29","component":"main","id":"c80:OLP-0216:problem:001:main-fol","local_reader_url":"reader.pdf#page=490","mapping":{"canonical_section_label":"cmp:rec:exa:sec","canonical_section_value":["29.7","398","Contoh Fungsi Rekursif Primitif","section*.3340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=490","combined_page":490,"destination":"probd*.3442","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0216","observed_import_path":"content/computability/recursive-functions/examples.tex","occurrence_id":"c80:OLP-0216:problem:001:main-fol","printed_number":"29.3","source":{"block":{"bytes":69,"sha256":"8ecb56012cbd4f3bf38c90b6b9f4fdc0cc7a459cb592aa26dc04a6fcf66f73a1"},"byte_end_exclusive":4825,"byte_start":4756,"end_line":153,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":151},"source_file":{"bytes":5988,"sha256":"431b72df17cd6de28a2f475f360742639cc40b5abc1a68d0d7e91794a88188d9"},"source_occurrence_order":202,"source_path":"content/computability/recursive-functions/examples.tex","source_problem_id":"c80:OLP-0216:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":70,"sha256":"f564e62979a5dc12cd947343faf565f954d56df5b15856eb7508038cb179eefe"},"byte_end_exclusive":4912,"byte_start":4842,"end_line":153,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":151},"target_file":{"bytes":6128,"sha256":"de9d2a764c7f611a8882c6b2efd6809d3fb89ee9d58fea562471715d4e400282"},"target_path":"locale/id/content/computability/recursive-functions/examples.tex"},"number":"29.3","physical_page":490,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=490","section_title_id":"Contoh Fungsi Rekursif Primitif","solution_state":"not_audited","source_problem_id":"c80:OLP-0216:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0216"},{"chapter":"main:29","component":"main","id":"c80:OLP-0216:problem:002:main-fol","local_reader_url":"reader.pdf#page=490","mapping":{"canonical_section_label":"cmp:rec:exa:sec","canonical_section_value":["29.7","398","Contoh Fungsi Rekursif Primitif","section*.3340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=490","combined_page":490,"destination":"probd*.3444","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0216","observed_import_path":"content/computability/recursive-functions/examples.tex","occurrence_id":"c80:OLP-0216:problem:002:main-fol","printed_number":"29.4","source":{"block":{"bytes":165,"sha256":"03a08002827a6df7f5e0588d8acf17915e9f01528624d1aa9644d656835873da"},"byte_end_exclusive":4994,"byte_start":4829,"end_line":160,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":155},"source_file":{"bytes":5988,"sha256":"431b72df17cd6de28a2f475f360742639cc40b5abc1a68d0d7e91794a88188d9"},"source_occurrence_order":203,"source_path":"content/computability/recursive-functions/examples.tex","source_problem_id":"c80:OLP-0216:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":173,"sha256":"d76a9a26c2b413d8fd6df44f20f90d80e664ecc03c28e1166d618dcf7a6612f3"},"byte_end_exclusive":5087,"byte_start":4914,"end_line":160,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":155},"target_file":{"bytes":6128,"sha256":"de9d2a764c7f611a8882c6b2efd6809d3fb89ee9d58fea562471715d4e400282"},"target_path":"locale/id/content/computability/recursive-functions/examples.tex"},"number":"29.4","physical_page":490,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=490","section_title_id":"Contoh Fungsi Rekursif Primitif","solution_state":"not_audited","source_problem_id":"c80:OLP-0216:problem:002","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0216"},{"chapter":"main:29","component":"main","id":"c80:OLP-0216:problem:003:main-fol","local_reader_url":"reader.pdf#page=490","mapping":{"canonical_section_label":"cmp:rec:exa:sec","canonical_section_value":["29.7","398","Contoh Fungsi Rekursif Primitif","section*.3340",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=490","combined_page":490,"destination":"probd*.3446","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0216","observed_import_path":"content/computability/recursive-functions/examples.tex","occurrence_id":"c80:OLP-0216:problem:003:main-fol","printed_number":"29.5","source":{"block":{"bytes":305,"sha256":"757fce2c5078a146ac6e2e6c112055fb1b101313064d890ae271703ae6e482fc"},"byte_end_exclusive":5303,"byte_start":4998,"end_line":168,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":162},"source_file":{"bytes":5988,"sha256":"431b72df17cd6de28a2f475f360742639cc40b5abc1a68d0d7e91794a88188d9"},"source_occurrence_order":204,"source_path":"content/computability/recursive-functions/examples.tex","source_problem_id":"c80:OLP-0216:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":322,"sha256":"e8d1ec9773ad3290051005e840de91f4294c7d296b7859cad69d0ddf85fd5793"},"byte_end_exclusive":5411,"byte_start":5089,"end_line":167,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":162},"target_file":{"bytes":6128,"sha256":"de9d2a764c7f611a8882c6b2efd6809d3fb89ee9d58fea562471715d4e400282"},"target_path":"locale/id/content/computability/recursive-functions/examples.tex"},"number":"29.5","physical_page":490,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=490","section_title_id":"Contoh Fungsi Rekursif Primitif","solution_state":"not_audited","source_problem_id":"c80:OLP-0216:problem:003","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0216"},{"chapter":"main:29","component":"main","id":"c80:OLP-0217:problem:001:main-fol","local_reader_url":"reader.pdf#page=491","mapping":{"canonical_section_label":"cmp:rec:prr:sec","canonical_section_value":["29.8","401","Relasi Rekursif Primitif","section*.3367",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","combined_page":491,"destination":"probd*.3448","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0217","observed_import_path":"content/computability/recursive-functions/pr-relations.tex","occurrence_id":"c80:OLP-0217:problem:001:main-fol","printed_number":"29.6","source":{"block":{"bytes":133,"sha256":"da8b58f6d7cd5d01be15d73a3ea5630e76f30847720f25d08634dbec818bcc36"},"byte_end_exclusive":4406,"byte_start":4273,"end_line":124,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":121},"source_file":{"bytes":5700,"sha256":"8323a8010f1d1faed641b5efc44c46956e1264fc4120c95e67edc26fbaa4ace2"},"source_occurrence_order":205,"source_path":"content/computability/recursive-functions/pr-relations.tex","source_problem_id":"c80:OLP-0217:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":138,"sha256":"b6baea6c1dfc10623601f41a9695a3373a32b24e6f7cf6c5969d6726eb5668a5"},"byte_end_exclusive":4538,"byte_start":4400,"end_line":126,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":123},"target_file":{"bytes":5901,"sha256":"8ebdfa0064852f7506fc26fc9da47e04dc97a16b0f035215365fabbc1372fe9e"},"target_path":"locale/id/content/computability/recursive-functions/pr-relations.tex"},"number":"29.6","physical_page":491,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","section_title_id":"Relasi Rekursif Primitif","solution_state":"not_audited","source_problem_id":"c80:OLP-0217:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0217"},{"chapter":"main:29","component":"main","id":"c80:OLP-0218:problem:001:main-fol","local_reader_url":"reader.pdf#page=491","mapping":{"canonical_section_label":"cmp:rec:bmi:sec","canonical_section_value":["29.9","403","Minimisasi Berbatas","section*.3385",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","combined_page":491,"destination":"probd*.3450","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0218","observed_import_path":"content/computability/recursive-functions/bounded-minimization.tex","occurrence_id":"c80:OLP-0218:problem:001:main-fol","printed_number":"29.7","source":{"block":{"bytes":265,"sha256":"996076eea84e136f3a6570057c7343d971f12600290ee17374bb592e27665768"},"byte_end_exclusive":2573,"byte_start":2308,"end_line":69,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":64},"source_file":{"bytes":2593,"sha256":"e92c4c37e242325519960ad6cc05f288cac99a3422e3eec6557f70325ce4a75e"},"source_occurrence_order":206,"source_path":"content/computability/recursive-functions/bounded-minimization.tex","source_problem_id":"c80:OLP-0218:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":296,"sha256":"4481af20184ff5f4efcbe963291a941a107ac826a266b877c2bf19637fc6aff4"},"byte_end_exclusive":2823,"byte_start":2527,"end_line":69,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":64},"target_file":{"bytes":2840,"sha256":"f04c6e560379cd17bee782acf4ba6228af21c2a2943b5873e3bad93688c2b991"},"target_path":"locale/id/content/computability/recursive-functions/bounded-minimization.tex"},"number":"29.7","physical_page":491,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","section_title_id":"Minimisasi Berbatas","solution_state":"not_audited","source_problem_id":"c80:OLP-0218:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0218"},{"chapter":"main:29","component":"main","id":"c80:OLP-0219:problem:001:main-fol","local_reader_url":"reader.pdf#page=491","mapping":{"canonical_section_label":"cmp:rec:pri:sec","canonical_section_value":["29.10","404","Bilangan Prima","section*.3392",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","combined_page":491,"destination":"probd*.3452","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0219","observed_import_path":"content/computability/recursive-functions/primes.tex","occurrence_id":"c80:OLP-0219:problem:001:main-fol","printed_number":"29.8","source":{"block":{"bytes":87,"sha256":"fa8cec249b58bc8409478ddcd78a701c0b3d236e9dbf653c3f4b9f0eb55df3c8"},"byte_end_exclusive":3414,"byte_start":3327,"end_line":78,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":76},"source_file":{"bytes":3434,"sha256":"02365c0e9de7f0df4bfae770dc311f59c8947e48422a8570de4c5e2c2d6a9157"},"source_occurrence_order":207,"source_path":"content/computability/recursive-functions/primes.tex","source_problem_id":"c80:OLP-0219:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":93,"sha256":"8eb7cc140274d95880ab0333a56cb0fc7a60a4d8beffdaaf0e71e73e8909f30f"},"byte_end_exclusive":3911,"byte_start":3818,"end_line":82,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":80},"target_file":{"bytes":3928,"sha256":"cd6bef4686c5b66ac5a33c9adb77caa497047057da087e96b026dc5677b83342"},"target_path":"locale/id/content/computability/recursive-functions/primes.tex"},"number":"29.8","physical_page":491,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","section_title_id":"Bilangan Prima","solution_state":"not_audited","source_problem_id":"c80:OLP-0219:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0219"},{"chapter":"main:29","component":"main","id":"c80:OLP-0220:problem:001:main-fol","local_reader_url":"reader.pdf#page=491","mapping":{"canonical_section_label":"cmp:rec:seq:sec","canonical_section_value":["29.11","405","Barisan","section*.3393",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","combined_page":491,"destination":"probd*.3454","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0220","observed_import_path":"content/computability/recursive-functions/sequences.tex","occurrence_id":"c80:OLP-0220:problem:001:main-fol","printed_number":"29.9","source":{"block":{"bytes":197,"sha256":"e5068269087abf0c2436b0661a5ba5b946b23bda476d227c782d670f76f6b8aa"},"byte_end_exclusive":6191,"byte_start":5994,"end_line":176,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":170},"source_file":{"bytes":6799,"sha256":"8199ddcf003b44e0e6d5a050d32ddbb13322d6a62bfe998b075c493d8a905dee"},"source_occurrence_order":208,"source_path":"content/computability/recursive-functions/sequences.tex","source_problem_id":"c80:OLP-0220:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":187,"sha256":"8ee67ae2cb84a2ccff20fadb3aa157b72b3258528e52402f92400247d1906f9d"},"byte_end_exclusive":6665,"byte_start":6478,"end_line":178,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":172},"target_file":{"bytes":7243,"sha256":"8a0c136363e88b1e73a3714826b83c23d96f8e08a07adddabd5a13e2bc37a4f8"},"target_path":"locale/id/content/computability/recursive-functions/sequences.tex"},"number":"29.9","physical_page":491,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","section_title_id":"Barisan","solution_state":"not_audited","source_problem_id":"c80:OLP-0220:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0220"},{"chapter":"main:29","component":"main","id":"c80:OLP-0220:problem:002:main-fol","local_reader_url":"reader.pdf#page=491","mapping":{"canonical_section_label":"cmp:rec:seq:sec","canonical_section_value":["29.11","405","Barisan","section*.3393",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","combined_page":491,"destination":"probd*.3456","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0220","observed_import_path":"content/computability/recursive-functions/sequences.tex","occurrence_id":"c80:OLP-0220:problem:002:main-fol","printed_number":"29.10","source":{"block":{"bytes":259,"sha256":"ef3eacd5649abcf97164c07f30195ab374e3e4effc3312524c6b037d5241d480"},"byte_end_exclusive":6454,"byte_start":6195,"end_line":185,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":178},"source_file":{"bytes":6799,"sha256":"8199ddcf003b44e0e6d5a050d32ddbb13322d6a62bfe998b075c493d8a905dee"},"source_occurrence_order":209,"source_path":"content/computability/recursive-functions/sequences.tex","source_problem_id":"c80:OLP-0220:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":248,"sha256":"a2bf6f78f8d2f7dc808380f36602e9216b562af0d8a45e9220839640c2a59b44"},"byte_end_exclusive":6915,"byte_start":6667,"end_line":187,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":180},"target_file":{"bytes":7243,"sha256":"8a0c136363e88b1e73a3714826b83c23d96f8e08a07adddabd5a13e2bc37a4f8"},"target_path":"locale/id/content/computability/recursive-functions/sequences.tex"},"number":"29.10","physical_page":491,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","section_title_id":"Barisan","solution_state":"not_audited","source_problem_id":"c80:OLP-0220:problem:002","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0220"},{"chapter":"main:29","component":"main","id":"c80:OLP-0220:problem:003:main-fol","local_reader_url":"reader.pdf#page=491","mapping":{"canonical_section_label":"cmp:rec:seq:sec","canonical_section_value":["29.11","405","Barisan","section*.3393",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","combined_page":491,"destination":"probd*.3458","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0220","observed_import_path":"content/computability/recursive-functions/sequences.tex","occurrence_id":"c80:OLP-0220:problem:003:main-fol","printed_number":"29.11","source":{"block":{"bytes":69,"sha256":"f96fdb94b5f11ac9f6826ad08e0895aa7cc127b282798081b878f4c758516bce"},"byte_end_exclusive":6775,"byte_start":6706,"end_line":200,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":198},"source_file":{"bytes":6799,"sha256":"8199ddcf003b44e0e6d5a050d32ddbb13322d6a62bfe998b075c493d8a905dee"},"source_occurrence_order":210,"source_path":"content/computability/recursive-functions/sequences.tex","source_problem_id":"c80:OLP-0220:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":70,"sha256":"09064ab7be8cd24887aee65bb9aefef749daa117d4832f9a03249082326a15b7"},"byte_end_exclusive":7226,"byte_start":7156,"end_line":201,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":199},"target_file":{"bytes":7243,"sha256":"8a0c136363e88b1e73a3714826b83c23d96f8e08a07adddabd5a13e2bc37a4f8"},"target_path":"locale/id/content/computability/recursive-functions/sequences.tex"},"number":"29.11","physical_page":491,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","section_title_id":"Barisan","solution_state":"not_audited","source_problem_id":"c80:OLP-0220:problem:003","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0220"},{"chapter":"main:29","component":"main","id":"c80:OLP-0221:problem:001:main-fol","local_reader_url":"reader.pdf#page=491","mapping":{"canonical_section_label":"cmp:rec:tre:sec","canonical_section_value":["29.12","407","Pohon","section*.3409",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","combined_page":491,"destination":"probd*.3460","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0221","observed_import_path":"content/computability/recursive-functions/trees.tex","occurrence_id":"c80:OLP-0221:problem:001:main-fol","printed_number":"29.12","source":{"block":{"bytes":276,"sha256":"2c24b3cbe1b91c3d9f3fd430d26a9d72f79fba7c9798ee809f28c98be21ddac0"},"byte_end_exclusive":3466,"byte_start":3190,"end_line":75,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":70},"source_file":{"bytes":3488,"sha256":"894b0c7adc8dcd90f8dcf342c07f0a1255861174f73b004c1fcd56c90b314d3a"},"source_occurrence_order":211,"source_path":"content/computability/recursive-functions/trees.tex","source_problem_id":"c80:OLP-0221:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":258,"sha256":"64725bdd5f8d93e48f4c0ffb8afff858a98ebda3568406387d497a2c8952308c"},"byte_end_exclusive":3655,"byte_start":3397,"end_line":77,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":72},"target_file":{"bytes":3672,"sha256":"e22bbf144d44a920adea44810d41bc2d900b385347f2a6887b1ba2a9de8e4b87"},"target_path":"locale/id/content/computability/recursive-functions/trees.tex"},"number":"29.12","physical_page":491,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","section_title_id":"Pohon","solution_state":"not_audited","source_problem_id":"c80:OLP-0221:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0221"},{"chapter":"main:29","component":"main","id":"c80:OLP-0222:problem:001:main-fol","local_reader_url":"reader.pdf#page=491","mapping":{"canonical_section_label":"cmp:rec:ore:sec","canonical_section_value":["29.13","408","Bentuk Rekursi Lain","section*.3413",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","combined_page":491,"destination":"probd*.3462","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0222","observed_import_path":"content/computability/recursive-functions/other-recursions.tex","occurrence_id":"c80:OLP-0222:problem:001:main-fol","printed_number":"29.13","source":{"block":{"bytes":296,"sha256":"23044254309b3c668a699ef0c2970b3fbf54776eba7d7a1c12be9a9759af1eab"},"byte_end_exclusive":2219,"byte_start":1923,"end_line":55,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":50},"source_file":{"bytes":2725,"sha256":"f3e558032c6f1e11bfe8710653a5a544ab28a3344e14b0606efb8d8c42f5942e"},"source_occurrence_order":212,"source_path":"content/computability/recursive-functions/other-recursions.tex","source_problem_id":"c80:OLP-0222:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":337,"sha256":"eefe3be8ab20bf2bbf390baa74e934f05fd2d233d49cdebd9f5a4308210100ac"},"byte_end_exclusive":2292,"byte_start":1955,"end_line":55,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":49},"target_file":{"bytes":2796,"sha256":"513d7ba221b70f6355ebf8ace0682057246d552666316e77aab464e23ef6f4f3"},"target_path":"locale/id/content/computability/recursive-functions/other-recursions.tex"},"number":"29.13","physical_page":491,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=491","section_title_id":"Bentuk Rekursi Lain","solution_state":"not_audited","source_problem_id":"c80:OLP-0222:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0222"},{"chapter":"main:30","component":"main","id":"c80:OLP-0234:problem:001:main-fol","local_reader_url":"reader.pdf#page=520","mapping":{"canonical_section_label":"cmp:thy:nou:sec","canonical_section_value":["30.6","420","Tidak Ada Fungsi Dapat Dihitung Universal","section*.3492",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=520","combined_page":520,"destination":"probd*.3600","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0234","observed_import_path":"content/computability/computability-theory/no-universal-function.tex","occurrence_id":"c80:OLP-0234:problem:001:main-fol","printed_number":"30.1","source":{"block":{"bytes":328,"sha256":"4dbbc080aec3bde415b6cc88b0c23f0f1bf6ea97f227c285af92668cff8dcc6d"},"byte_end_exclusive":1810,"byte_start":1482,"end_line":49,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":43},"source_file":{"bytes":1832,"sha256":"21cdbc8e03343aed5b966aa8df3cb1670e06ff46bc95d6f70a25a45d68edb8c0"},"source_occurrence_order":213,"source_path":"content/computability/computability-theory/no-universal-function.tex","source_problem_id":"c80:OLP-0234:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":364,"sha256":"9cbe58aff933d380594cda904215fa8af195f6c340ab2562a88ab37ec02fc921"},"byte_end_exclusive":1945,"byte_start":1581,"end_line":49,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":43},"target_file":{"bytes":1964,"sha256":"e014fe981b9afb21ff6dce349e38e100e3b1b94c499de967160414047484740b"},"target_path":"locale/id/content/computability/computability-theory/no-universal-function.tex"},"number":"30.1","physical_page":520,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=520","section_title_id":"Tidak Ada Fungsi Dapat Dihitung Universal","solution_state":"not_audited","source_problem_id":"c80:OLP-0234:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0234"},{"chapter":"main:30","component":"main","id":"c80:OLP-0244:problem:001:main-fol","local_reader_url":"reader.pdf#page=520","mapping":{"canonical_section_label":"cmp:thy:ppr:sec","canonical_section_value":["30.16","429","Sifat Redusibilitas","section*.3548",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=520","combined_page":520,"destination":"probd*.3602","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0244","observed_import_path":"content/computability/computability-theory/prop-reduce.tex","occurrence_id":"c80:OLP-0244:problem:001:main-fol","printed_number":"30.2","source":{"block":{"bytes":213,"sha256":"a46db05b84a73e1efb032f8f562f11e130eeebafd22e034c9c4afe969cb17aa5"},"byte_end_exclusive":1082,"byte_start":869,"end_line":33,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":29},"source_file":{"bytes":4102,"sha256":"aba1c5594c0c29e062f0d40bd85948f4977a962cbdad14f492bc19b36e51504d"},"source_occurrence_order":214,"source_path":"content/computability/computability-theory/prop-reduce.tex","source_problem_id":"c80:OLP-0244:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":250,"sha256":"2cadcfea2cae861a7ebfcf899b3297d6d1897cb4327a8f8550558f11c186536a"},"byte_end_exclusive":1169,"byte_start":919,"end_line":33,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":29},"target_file":{"bytes":4455,"sha256":"2ae07d0b8f70ea9e4be1774abdca73deaef77fb853807736ee27e0f1f5a5904c"},"target_path":"locale/id/content/computability/computability-theory/prop-reduce.tex"},"number":"30.2","physical_page":520,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=520","section_title_id":"Sifat Redusibilitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0244:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0244"},{"chapter":"main:30","component":"main","id":"c80:OLP-0244:problem:002:main-fol","local_reader_url":"reader.pdf#page=520","mapping":{"canonical_section_label":"cmp:thy:ppr:sec","canonical_section_value":["30.16","429","Sifat Redusibilitas","section*.3548",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=520","combined_page":520,"destination":"probd*.3604","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0244","observed_import_path":"content/computability/computability-theory/prop-reduce.tex","occurrence_id":"c80:OLP-0244:problem:002:main-fol","printed_number":"30.3","source":{"block":{"bytes":161,"sha256":"c2fd4b3213f9b5d4c4a9a2d0e240fa47d75fd0edff5630691d4bd2f3ce2ef01e"},"byte_end_exclusive":2322,"byte_start":2161,"end_line":66,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":63},"source_file":{"bytes":4102,"sha256":"aba1c5594c0c29e062f0d40bd85948f4977a962cbdad14f492bc19b36e51504d"},"source_occurrence_order":215,"source_path":"content/computability/computability-theory/prop-reduce.tex","source_problem_id":"c80:OLP-0244:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":183,"sha256":"29cd7f91627f0867593ded5c4a2e9817c0dd59fd643f50776d0e14d69329bc55"},"byte_end_exclusive":2558,"byte_start":2375,"end_line":68,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":64},"target_file":{"bytes":4455,"sha256":"2ae07d0b8f70ea9e4be1774abdca73deaef77fb853807736ee27e0f1f5a5904c"},"target_path":"locale/id/content/computability/computability-theory/prop-reduce.tex"},"number":"30.3","physical_page":520,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=520","section_title_id":"Sifat Redusibilitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0244:problem:002","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0244"},{"chapter":"main:30","component":"main","id":"c80:OLP-0244:problem:003:main-fol","local_reader_url":"reader.pdf#page=520","mapping":{"canonical_section_label":"cmp:thy:ppr:sec","canonical_section_value":["30.16","429","Sifat Redusibilitas","section*.3548",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=520","combined_page":520,"destination":"probd*.3606","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0244","observed_import_path":"content/computability/computability-theory/prop-reduce.tex","occurrence_id":"c80:OLP-0244:problem:003:main-fol","printed_number":"30.4","source":{"block":{"bytes":120,"sha256":"69291397d1124dfdadb98686e02c7b2b35de7e6dc8afa8692b9fcca29fb9466a"},"byte_end_exclusive":2446,"byte_start":2326,"end_line":71,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":68},"source_file":{"bytes":4102,"sha256":"aba1c5594c0c29e062f0d40bd85948f4977a962cbdad14f492bc19b36e51504d"},"source_occurrence_order":216,"source_path":"content/computability/computability-theory/prop-reduce.tex","source_problem_id":"c80:OLP-0244:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":134,"sha256":"fee5934b51dd8bf4fce34744eb6a23894d10672f058a41e2493c7cdc1df5580c"},"byte_end_exclusive":2694,"byte_start":2560,"end_line":73,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":70},"target_file":{"bytes":4455,"sha256":"2ae07d0b8f70ea9e4be1774abdca73deaef77fb853807736ee27e0f1f5a5904c"},"target_path":"locale/id/content/computability/computability-theory/prop-reduce.tex"},"number":"30.4","physical_page":520,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=520","section_title_id":"Sifat Redusibilitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0244:problem:003","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0244"},{"chapter":"main:30","component":"main","id":"c80:OLP-0245:problem:001:main-fol","local_reader_url":"reader.pdf#page=520","mapping":{"canonical_section_label":"cmp:thy:cce:sec","canonical_section_value":["30.17","430","Himpunan Terenumerasi Secara Komputabel Lengkap","section*.3557",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=520","combined_page":520,"destination":"probd*.3608","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0245","observed_import_path":"content/computability/computability-theory/complete-ce-sets.tex","occurrence_id":"c80:OLP-0245:problem:001:main-fol","printed_number":"30.5","source":{"block":{"bytes":59,"sha256":"fa823a642970d2cc369290f5cbbd0bbc9ba777e8e446b7c04cb8ae0ebb4bb7de"},"byte_end_exclusive":1474,"byte_start":1415,"end_line":49,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"source_file":{"bytes":1925,"sha256":"f2b3d831482a977fe0d186eed0e916f4efa52c2aeb2cd828e29a1d012bb0c377"},"source_occurrence_order":217,"source_path":"content/computability/computability-theory/complete-ce-sets.tex","source_problem_id":"c80:OLP-0245:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":53,"sha256":"84865ae282c64bc33cdb3811893c1b3ef6f8701a698fd1b89813a0ba2ac101a1"},"byte_end_exclusive":1690,"byte_start":1637,"end_line":52,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":50},"target_file":{"bytes":2129,"sha256":"a31f3e187a7dbee8cea007fdc54b45caf70ad3d4f5de134f1f75a4cda832cb8f"},"target_path":"locale/id/content/computability/computability-theory/complete-ce-sets.tex"},"number":"30.5","physical_page":520,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=520","section_title_id":"Himpunan Terenumerasi Secara Komputabel Lengkap","solution_state":"not_audited","source_problem_id":"c80:OLP-0245:problem:001","source_reuse_count":1,"topic":"computability","unit_id":"OLP-0245"},{"chapter":"main:31","component":"main","id":"c80:OLP-0255:problem:001:main-fol","local_reader_url":"reader.pdf#page=541","mapping":{"canonical_section_label":"tur:mac:rep:sec","canonical_section_value":["31.2","442","Merepresentasikan Mesin Turing","section*.3617",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=541","combined_page":541,"destination":"probd*.3707","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0255","observed_import_path":"content/turing-machines/machines-computations/representing-tms.tex","occurrence_id":"c80:OLP-0255:problem:001:main-fol","printed_number":"31.1","source":{"block":{"bytes":150,"sha256":"6dc697e68f3d4946df28bd0c89c507d227fff7a5c42f13c124984ecd744eb837"},"byte_end_exclusive":11583,"byte_start":11433,"end_line":260,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":257},"source_file":{"bytes":13199,"sha256":"e38cb6c2fa1059639fe3c8ebd00400a185526a9b17a2dd5dd4b1e9da0a927fa4"},"source_occurrence_order":218,"source_path":"content/turing-machines/machines-computations/representing-tms.tex","source_problem_id":"c80:OLP-0255:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":145,"sha256":"b05a09e13797fb38d002a55a5efc958527fe5db436a055c26ec4270ea38c6982"},"byte_end_exclusive":11512,"byte_start":11367,"end_line":252,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":249},"target_file":{"bytes":13115,"sha256":"f53b4c95ec85a1f40109e23e8bbb75646546e77daf5aeae3cb0d011ca2a240c0"},"target_path":"locale/id/content/turing-machines/machines-computations/representing-tms.tex"},"number":"31.1","physical_page":541,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=541","section_title_id":"Merepresentasikan Mesin Turing","solution_state":"not_audited","source_problem_id":"c80:OLP-0255:problem:001","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0255"},{"chapter":"main:31","component":"main","id":"c80:OLP-0255:problem:002:main-fol","local_reader_url":"reader.pdf#page=541","mapping":{"canonical_section_label":"tur:mac:rep:sec","canonical_section_value":["31.2","442","Merepresentasikan Mesin Turing","section*.3617",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=541","combined_page":541,"destination":"probd*.3709","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0255","observed_import_path":"content/turing-machines/machines-computations/representing-tms.tex","occurrence_id":"c80:OLP-0255:problem:002:main-fol","printed_number":"31.2","source":{"block":{"bytes":517,"sha256":"8a1d930f894f273c81825aac830a6efedf90f538b7a0eb46f8b93e6bdaef3670"},"byte_end_exclusive":12104,"byte_start":11587,"end_line":270,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":262},"source_file":{"bytes":13199,"sha256":"e38cb6c2fa1059639fe3c8ebd00400a185526a9b17a2dd5dd4b1e9da0a927fa4"},"source_occurrence_order":219,"source_path":"content/turing-machines/machines-computations/representing-tms.tex","source_problem_id":"c80:OLP-0255:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":501,"sha256":"a0b89af49753969d6548ecdd4fbb74e747a991277834f65468d6dac9690a2f91"},"byte_end_exclusive":12015,"byte_start":11514,"end_line":262,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":254},"target_file":{"bytes":13115,"sha256":"f53b4c95ec85a1f40109e23e8bbb75646546e77daf5aeae3cb0d011ca2a240c0"},"target_path":"locale/id/content/turing-machines/machines-computations/representing-tms.tex"},"number":"31.2","physical_page":541,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=541","section_title_id":"Merepresentasikan Mesin Turing","solution_state":"not_audited","source_problem_id":"c80:OLP-0255:problem:002","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0255"},{"chapter":"main:31","component":"main","id":"c80:OLP-0255:problem:003:main-fol","local_reader_url":"reader.pdf#page=541","mapping":{"canonical_section_label":"tur:mac:rep:sec","canonical_section_value":["31.2","442","Merepresentasikan Mesin Turing","section*.3617",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=541","combined_page":541,"destination":"probd*.3711","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0255","observed_import_path":"content/turing-machines/machines-computations/representing-tms.tex","occurrence_id":"c80:OLP-0255:problem:003:main-fol","printed_number":"31.3","source":{"block":{"bytes":282,"sha256":"d048941c0fb2906056c7776dcdfa3b80333714e6cbb92ed7e1fa908f4976f987"},"byte_end_exclusive":12390,"byte_start":12108,"end_line":277,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":272},"source_file":{"bytes":13199,"sha256":"e38cb6c2fa1059639fe3c8ebd00400a185526a9b17a2dd5dd4b1e9da0a927fa4"},"source_occurrence_order":220,"source_path":"content/turing-machines/machines-computations/representing-tms.tex","source_problem_id":"c80:OLP-0255:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":321,"sha256":"747b3e66716ecc65aef7c19d5817e27d502ed8a4e71f65f4d5d87431a660aee7"},"byte_end_exclusive":12338,"byte_start":12017,"end_line":270,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":264},"target_file":{"bytes":13115,"sha256":"f53b4c95ec85a1f40109e23e8bbb75646546e77daf5aeae3cb0d011ca2a240c0"},"target_path":"locale/id/content/turing-machines/machines-computations/representing-tms.tex"},"number":"31.3","physical_page":541,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=541","section_title_id":"Merepresentasikan Mesin Turing","solution_state":"not_audited","source_problem_id":"c80:OLP-0255:problem:003","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0255"},{"chapter":"main:31","component":"main","id":"c80:OLP-0255:problem:004:main-fol","local_reader_url":"reader.pdf#page=542","mapping":{"canonical_section_label":"tur:mac:rep:sec","canonical_section_value":["31.2","442","Merepresentasikan Mesin Turing","section*.3617",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","combined_page":542,"destination":"probd*.3713","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0255","observed_import_path":"content/turing-machines/machines-computations/representing-tms.tex","occurrence_id":"c80:OLP-0255:problem:004:main-fol","printed_number":"31.4","source":{"block":{"bytes":403,"sha256":"ddda83998e3149abf86c2a4126e417d37f0c90f19a893b8be50fce5888d123a7"},"byte_end_exclusive":12797,"byte_start":12394,"end_line":286,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":279},"source_file":{"bytes":13199,"sha256":"e38cb6c2fa1059639fe3c8ebd00400a185526a9b17a2dd5dd4b1e9da0a927fa4"},"source_occurrence_order":221,"source_path":"content/turing-machines/machines-computations/representing-tms.tex","source_problem_id":"c80:OLP-0255:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":386,"sha256":"1024d98f9bcac33f0a0619a4457cce29b548182a8f17a66720e7034ba73bfc73"},"byte_end_exclusive":12726,"byte_start":12340,"end_line":278,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":272},"target_file":{"bytes":13115,"sha256":"f53b4c95ec85a1f40109e23e8bbb75646546e77daf5aeae3cb0d011ca2a240c0"},"target_path":"locale/id/content/turing-machines/machines-computations/representing-tms.tex"},"number":"31.4","physical_page":542,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","section_title_id":"Merepresentasikan Mesin Turing","solution_state":"not_audited","source_problem_id":"c80:OLP-0255:problem:004","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0255"},{"chapter":"main:31","component":"main","id":"c80:OLP-0255:problem:005:main-fol","local_reader_url":"reader.pdf#page=542","mapping":{"canonical_section_label":"tur:mac:rep:sec","canonical_section_value":["31.2","442","Merepresentasikan Mesin Turing","section*.3617",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","combined_page":542,"destination":"probd*.3715","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0255","observed_import_path":"content/turing-machines/machines-computations/representing-tms.tex","occurrence_id":"c80:OLP-0255:problem:005:main-fol","printed_number":"31.5","source":{"block":{"bytes":378,"sha256":"d711c6a255cebeb1a657f3f992c9fa77a366d4e19c061ebcaeeaf290c95b38af"},"byte_end_exclusive":13179,"byte_start":12801,"end_line":295,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":288},"source_file":{"bytes":13199,"sha256":"e38cb6c2fa1059639fe3c8ebd00400a185526a9b17a2dd5dd4b1e9da0a927fa4"},"source_occurrence_order":222,"source_path":"content/turing-machines/machines-computations/representing-tms.tex","source_problem_id":"c80:OLP-0255:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":370,"sha256":"f29a3cded02165d657b760e6b4a4c4092c0b22cdbf8bf0519258c0a912836e32"},"byte_end_exclusive":13098,"byte_start":12728,"end_line":286,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":280},"target_file":{"bytes":13115,"sha256":"f53b4c95ec85a1f40109e23e8bbb75646546e77daf5aeae3cb0d011ca2a240c0"},"target_path":"locale/id/content/turing-machines/machines-computations/representing-tms.tex"},"number":"31.5","physical_page":542,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","section_title_id":"Merepresentasikan Mesin Turing","solution_state":"not_audited","source_problem_id":"c80:OLP-0255:problem:005","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0255"},{"chapter":"main:31","component":"main","id":"c80:OLP-0258:problem:001:main-fol","local_reader_url":"reader.pdf#page=542","mapping":{"canonical_section_label":"tur:mac:una:sec","canonical_section_value":["31.5","447","Representasi Uner Bilangan","section*.3657",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","combined_page":542,"destination":"probd*.3717","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0258","observed_import_path":"content/turing-machines/machines-computations/unary-numbers.tex","occurrence_id":"c80:OLP-0258:problem:001:main-fol","printed_number":"31.6","source":{"block":{"bytes":129,"sha256":"5373f78be9551db47a5c3a611634b303e6ffa810a63592015d6e73f0ab0e90fa"},"byte_end_exclusive":1265,"byte_start":1136,"end_line":36,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":33},"source_file":{"bytes":10787,"sha256":"409632297a69260d6b40f8831f3bd2a61f8254684e5bedf952b57088f393d4d0"},"source_occurrence_order":223,"source_path":"content/turing-machines/machines-computations/unary-numbers.tex","source_problem_id":"c80:OLP-0258:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":120,"sha256":"0953d07b3fe4941eb4483395e59441b2e1b3a20a92896ef6ec24d9e7998a948f"},"byte_end_exclusive":1281,"byte_start":1161,"end_line":36,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":33},"target_file":{"bytes":11044,"sha256":"b588f924d26c4a6eedc4ce886312b34f9708d6a96db9dc786813e948068a8635"},"target_path":"locale/id/content/turing-machines/machines-computations/unary-numbers.tex"},"number":"31.6","physical_page":542,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","section_title_id":"Representasi Uner Bilangan","solution_state":"not_audited","source_problem_id":"c80:OLP-0258:problem:001","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0258"},{"chapter":"main:31","component":"main","id":"c80:OLP-0258:problem:002:main-fol","local_reader_url":"reader.pdf#page=542","mapping":{"canonical_section_label":"tur:mac:una:sec","canonical_section_value":["31.5","447","Representasi Uner Bilangan","section*.3657",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","combined_page":542,"destination":"probd*.3719","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0258","observed_import_path":"content/turing-machines/machines-computations/unary-numbers.tex","occurrence_id":"c80:OLP-0258:problem:002:main-fol","printed_number":"31.7","source":{"block":{"bytes":181,"sha256":"32230590fc7035795f80c089212f754f509331198a33efdf817dcfb975cb8d32"},"byte_end_exclusive":2762,"byte_start":2581,"end_line":70,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":66},"source_file":{"bytes":10787,"sha256":"409632297a69260d6b40f8831f3bd2a61f8254684e5bedf952b57088f393d4d0"},"source_occurrence_order":224,"source_path":"content/turing-machines/machines-computations/unary-numbers.tex","source_problem_id":"c80:OLP-0258:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":174,"sha256":"17e104aba9f0b20a4d5802986d82c5f66a60a01df0b72f35ea5eb203f8e036fc"},"byte_end_exclusive":2794,"byte_start":2620,"end_line":71,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":67},"target_file":{"bytes":11044,"sha256":"b588f924d26c4a6eedc4ce886312b34f9708d6a96db9dc786813e948068a8635"},"target_path":"locale/id/content/turing-machines/machines-computations/unary-numbers.tex"},"number":"31.7","physical_page":542,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","section_title_id":"Representasi Uner Bilangan","solution_state":"not_audited","source_problem_id":"c80:OLP-0258:problem:002","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0258"},{"chapter":"main:31","component":"main","id":"c80:OLP-0258:problem:003:main-fol","local_reader_url":"reader.pdf#page=542","mapping":{"canonical_section_label":"tur:mac:una:sec","canonical_section_value":["31.5","447","Representasi Uner Bilangan","section*.3657",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","combined_page":542,"destination":"probd*.3721","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0258","observed_import_path":"content/turing-machines/machines-computations/unary-numbers.tex","occurrence_id":"c80:OLP-0258:problem:003:main-fol","printed_number":"31.8","source":{"block":{"bytes":497,"sha256":"480dcdcae7141c1cc8c2ade20c48316df6c4ef76b90367659138abb302e3b24c"},"byte_end_exclusive":9400,"byte_start":8903,"end_line":196,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":187},"source_file":{"bytes":10787,"sha256":"409632297a69260d6b40f8831f3bd2a61f8254684e5bedf952b57088f393d4d0"},"source_occurrence_order":225,"source_path":"content/turing-machines/machines-computations/unary-numbers.tex","source_problem_id":"c80:OLP-0258:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":527,"sha256":"3f6884e6433a776a00e0918bbe91bfdf56e8fa75629ec416dca9b3da42f88a99"},"byte_end_exclusive":9602,"byte_start":9075,"end_line":198,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":189},"target_file":{"bytes":11044,"sha256":"b588f924d26c4a6eedc4ce886312b34f9708d6a96db9dc786813e948068a8635"},"target_path":"locale/id/content/turing-machines/machines-computations/unary-numbers.tex"},"number":"31.8","physical_page":542,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","section_title_id":"Representasi Uner Bilangan","solution_state":"not_audited","source_problem_id":"c80:OLP-0258:problem:003","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0258"},{"chapter":"main:31","component":"main","id":"c80:OLP-0258:problem:004:main-fol","local_reader_url":"reader.pdf#page=542","mapping":{"canonical_section_label":"tur:mac:una:sec","canonical_section_value":["31.5","447","Representasi Uner Bilangan","section*.3657",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","combined_page":542,"destination":"probd*.3723","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0258","observed_import_path":"content/turing-machines/machines-computations/unary-numbers.tex","occurrence_id":"c80:OLP-0258:problem:004:main-fol","printed_number":"31.9","source":{"block":{"bytes":210,"sha256":"25bd99db7a1956b1db8df0915cc49040cec2c5e65e28d1ba534a8c23342e2d6a"},"byte_end_exclusive":9614,"byte_start":9404,"end_line":202,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":198},"source_file":{"bytes":10787,"sha256":"409632297a69260d6b40f8831f3bd2a61f8254684e5bedf952b57088f393d4d0"},"source_occurrence_order":226,"source_path":"content/turing-machines/machines-computations/unary-numbers.tex","source_problem_id":"c80:OLP-0258:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":203,"sha256":"27cd4c3f5625b06cff919d4bf7bda5096967a0b2490b73dd23438579976df7de"},"byte_end_exclusive":9807,"byte_start":9604,"end_line":204,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":200},"target_file":{"bytes":11044,"sha256":"b588f924d26c4a6eedc4ce886312b34f9708d6a96db9dc786813e948068a8635"},"target_path":"locale/id/content/turing-machines/machines-computations/unary-numbers.tex"},"number":"31.9","physical_page":542,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","section_title_id":"Representasi Uner Bilangan","solution_state":"not_audited","source_problem_id":"c80:OLP-0258:problem:004","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0258"},{"chapter":"main:31","component":"main","id":"c80:OLP-0258:problem:005:main-fol","local_reader_url":"reader.pdf#page=542","mapping":{"canonical_section_label":"tur:mac:una:sec","canonical_section_value":["31.5","447","Representasi Uner Bilangan","section*.3657",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","combined_page":542,"destination":"probd*.3725","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0258","observed_import_path":"content/turing-machines/machines-computations/unary-numbers.tex","occurrence_id":"c80:OLP-0258:problem:005:main-fol","printed_number":"31.10","source":{"block":{"bytes":262,"sha256":"8ecc55f9144770600c5ff44fd748ce93ffa8803bbdbf0ec56ad74f9212c0c211"},"byte_end_exclusive":9880,"byte_start":9618,"end_line":214,"environment":"prob","environments":["cases"],"labels":[],"literal_labels":[],"ordinal":5,"start_line":204},"source_file":{"bytes":10787,"sha256":"409632297a69260d6b40f8831f3bd2a61f8254684e5bedf952b57088f393d4d0"},"source_occurrence_order":227,"source_path":"content/turing-machines/machines-computations/unary-numbers.tex","source_problem_id":"c80:OLP-0258:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":251,"sha256":"971e01725c90d747c32112407fec1e1966b039d3e3a7d8bccf31ced49373bb0f"},"byte_end_exclusive":10060,"byte_start":9809,"end_line":216,"environment":"prob","environments":["cases"],"labels":[],"literal_labels":[],"ordinal":5,"start_line":206},"target_file":{"bytes":11044,"sha256":"b588f924d26c4a6eedc4ce886312b34f9708d6a96db9dc786813e948068a8635"},"target_path":"locale/id/content/turing-machines/machines-computations/unary-numbers.tex"},"number":"31.10","physical_page":542,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","section_title_id":"Representasi Uner Bilangan","solution_state":"not_audited","source_problem_id":"c80:OLP-0258:problem:005","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0258"},{"chapter":"main:31","component":"main","id":"c80:OLP-0258:problem:006:main-fol","local_reader_url":"reader.pdf#page=542","mapping":{"canonical_section_label":"tur:mac:una:sec","canonical_section_value":["31.5","447","Representasi Uner Bilangan","section*.3657",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","combined_page":542,"destination":"probd*.3727","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0258","observed_import_path":"content/turing-machines/machines-computations/unary-numbers.tex","occurrence_id":"c80:OLP-0258:problem:006:main-fol","printed_number":"31.11","source":{"block":{"bytes":407,"sha256":"06d60dcfdec6a69cc742e05cb74a869d6252b739e4cadbf27c6cab8f40ae4cea"},"byte_end_exclusive":10291,"byte_start":9884,"end_line":224,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":6,"start_line":216},"source_file":{"bytes":10787,"sha256":"409632297a69260d6b40f8831f3bd2a61f8254684e5bedf952b57088f393d4d0"},"source_occurrence_order":228,"source_path":"content/turing-machines/machines-computations/unary-numbers.tex","source_problem_id":"c80:OLP-0258:problem:006","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":437,"sha256":"0891a68a32f1143229a0935cf80413288d8c50969e954b662f23b8f4ca19efd8"},"byte_end_exclusive":10499,"byte_start":10062,"end_line":226,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":6,"start_line":218},"target_file":{"bytes":11044,"sha256":"b588f924d26c4a6eedc4ce886312b34f9708d6a96db9dc786813e948068a8635"},"target_path":"locale/id/content/turing-machines/machines-computations/unary-numbers.tex"},"number":"31.11","physical_page":542,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","section_title_id":"Representasi Uner Bilangan","solution_state":"not_audited","source_problem_id":"c80:OLP-0258:problem:006","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0258"},{"chapter":"main:31","component":"main","id":"c80:OLP-0260:problem:001:main-fol","local_reader_url":"reader.pdf#page=542","mapping":{"canonical_section_label":"tur:mac:dis:sec","canonical_section_value":["31.7","450","Mesin Disiplin","section*.3676",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","combined_page":542,"destination":"probd*.3729","exact_problem_labels":["tur:mac:dis:prob:disc-succ"],"fol_context":true,"native_unit_id":"OLP-0260","observed_import_path":"content/turing-machines/machines-computations/disciplined-machines.tex","occurrence_id":"c80:OLP-0260:problem:001:main-fol","printed_number":"31.12","source":{"block":{"bytes":114,"sha256":"2ab44f64fec4ff4f191688e5e73aab51b81485970f0f591a231694e8d4c43610"},"byte_end_exclusive":4005,"byte_start":3891,"end_line":88,"environment":"prob","environments":[],"labels":[],"literal_labels":["tur:mac:dis:prob:disc-succ"],"ordinal":1,"start_line":86},"source_file":{"bytes":4226,"sha256":"a58be19fe04f48aa1e0941f4c9a3f59fc6e5ae7673e96987062cda5dcccf6a0f"},"source_occurrence_order":229,"source_path":"content/turing-machines/machines-computations/disciplined-machines.tex","source_problem_id":"c80:OLP-0260:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":116,"sha256":"d4c475927053d2515feb86362c4bbd872439a5f19835e9d6639ae2ab69063522"},"byte_end_exclusive":4063,"byte_start":3947,"end_line":87,"environment":"prob","environments":[],"labels":[],"literal_labels":["tur:mac:dis:prob:disc-succ"],"ordinal":1,"start_line":85},"target_file":{"bytes":4286,"sha256":"fbbb656fa67e4377ae974c13956eaa4cd35938b6a3cfadf81053d5fb70960fc7"},"target_path":"locale/id/content/turing-machines/machines-computations/disciplined-machines.tex"},"number":"31.12","physical_page":542,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=542","section_title_id":"Mesin Disiplin","solution_state":"not_audited","source_problem_id":"c80:OLP-0260:problem:001","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0260"},{"chapter":"main:31","component":"main","id":"c80:OLP-0260:problem:002:main-fol","local_reader_url":"reader.pdf#page=543","mapping":{"canonical_section_label":"tur:mac:dis:sec","canonical_section_value":["31.7","450","Mesin Disiplin","section*.3676",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=543","combined_page":543,"destination":"probd*.3731","exact_problem_labels":["tur:mac:dis:prob:copier"],"fol_context":true,"native_unit_id":"OLP-0260","observed_import_path":"content/turing-machines/machines-computations/disciplined-machines.tex","occurrence_id":"c80:OLP-0260:problem:002:main-fol","printed_number":"31.13","source":{"block":{"bytes":195,"sha256":"1bf02929563e64c4525f09645e2963503af6e5b32b313f7467dbda9f864b935b"},"byte_end_exclusive":4206,"byte_start":4011,"end_line":94,"environment":"prob","environments":[],"labels":[],"literal_labels":["tur:mac:dis:prob:copier"],"ordinal":2,"start_line":91},"source_file":{"bytes":4226,"sha256":"a58be19fe04f48aa1e0941f4c9a3f59fc6e5ae7673e96987062cda5dcccf6a0f"},"source_occurrence_order":230,"source_path":"content/turing-machines/machines-computations/disciplined-machines.tex","source_problem_id":"c80:OLP-0260:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":203,"sha256":"1177704029e81481dec06bc08b25be302ba09b55d0062430a4eac396513bee68"},"byte_end_exclusive":4269,"byte_start":4066,"end_line":93,"environment":"prob","environments":[],"labels":[],"literal_labels":["tur:mac:dis:prob:copier"],"ordinal":2,"start_line":90},"target_file":{"bytes":4286,"sha256":"fbbb656fa67e4377ae974c13956eaa4cd35938b6a3cfadf81053d5fb70960fc7"},"target_path":"locale/id/content/turing-machines/machines-computations/disciplined-machines.tex"},"number":"31.13","physical_page":543,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=543","section_title_id":"Mesin Disiplin","solution_state":"not_audited","source_problem_id":"c80:OLP-0260:problem:002","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0260"},{"chapter":"main:31","component":"main","id":"c80:OLP-0261:problem:001:main-fol","local_reader_url":"reader.pdf#page=543","mapping":{"canonical_section_label":"tur:mac:cmb:sec","canonical_section_value":["31.8","452","Menggabungkan Mesin Turing","section*.3688",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=543","combined_page":543,"destination":"probd*.3733","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0261","observed_import_path":"content/turing-machines/machines-computations/combining-machines.tex","occurrence_id":"c80:OLP-0261:problem:001:main-fol","printed_number":"31.14","source":{"block":{"bytes":189,"sha256":"b6a1c906bdd0311ea9c3ce71d843e7c6314498d24456bf729de3d064364aa228"},"byte_end_exclusive":8374,"byte_start":8185,"end_line":170,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":166},"source_file":{"bytes":8392,"sha256":"a76bb5aa1ed05ffecb0f7a120f2077099c74c009e36b09792505e8c274b8d541"},"source_occurrence_order":231,"source_path":"content/turing-machines/machines-computations/combining-machines.tex","source_problem_id":"c80:OLP-0261:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":188,"sha256":"4459fd8630d67f8e000081fc0c0afb4bdee8e3d66fffa6617dc68d7709fb4a6a"},"byte_end_exclusive":8634,"byte_start":8446,"end_line":172,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":168},"target_file":{"bytes":8650,"sha256":"9d022fd29ed78d54e1d0cd1ccf16421f400cd6bee4249c7fe27d67c9c8582630"},"target_path":"locale/id/content/turing-machines/machines-computations/combining-machines.tex"},"number":"31.14","physical_page":543,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=543","section_title_id":"Menggabungkan Mesin Turing","solution_state":"not_audited","source_problem_id":"c80:OLP-0261:problem:001","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0261"},{"chapter":"main:32","component":"main","id":"c80:OLP-0266:problem:001:main-fol","local_reader_url":"reader.pdf#page=566","mapping":{"canonical_section_label":"tur:und:enu:sec","canonical_section_value":["32.2","459","Mengenumerasi Mesin Turing","section*.3736",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=566","combined_page":566,"destination":"probd*.3851","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0266","observed_import_path":"content/turing-machines/undecidability/enumerating-tms.tex","occurrence_id":"c80:OLP-0266:problem:001:main-fol","printed_number":"32.1","source":{"block":{"bytes":338,"sha256":"b7dbdcd940851dc84c6fd6a82186b7167b32a662a7d6c16a1f24805725127456"},"byte_end_exclusive":7079,"byte_start":6741,"end_line":151,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":145},"source_file":{"bytes":7099,"sha256":"a921bb03bf1688c6c0ee1bb3297dbb8a1a7473a9c1572426c461bafd98b083cb"},"source_occurrence_order":232,"source_path":"content/turing-machines/undecidability/enumerating-tms.tex","source_problem_id":"c80:OLP-0266:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":361,"sha256":"2080533fba009880484a1750f98b8c26cd632fa27db8b3a5ef19523b44536940"},"byte_end_exclusive":7476,"byte_start":7115,"end_line":150,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":144},"target_file":{"bytes":7493,"sha256":"fb11c534b017e9c6cb4b3ba3722fde0a82b7adce5383466147b8c5bf58f4e338"},"target_path":"locale/id/content/turing-machines/undecidability/enumerating-tms.tex"},"number":"32.1","physical_page":566,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=566","section_title_id":"Mengenumerasi Mesin Turing","solution_state":"not_audited","source_problem_id":"c80:OLP-0266:problem:001","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0266"},{"chapter":"main:32","component":"main","id":"c80:OLP-0268:problem:001:main-fol","local_reader_url":"reader.pdf#page=566","mapping":{"canonical_section_label":"tur:und:hal:sec","canonical_section_value":["32.4","463","Masalah Penghentian","section*.3759",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=566","combined_page":566,"destination":"probd*.3853","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0268","observed_import_path":"content/turing-machines/undecidability/halting-problem.tex","occurrence_id":"c80:OLP-0268:problem:001:main-fol","printed_number":"32.2","source":{"block":{"bytes":289,"sha256":"f2c00ec8591b35ede813ebb51d1153713c58791d4edffd0bff69bf9205e80058"},"byte_end_exclusive":4960,"byte_start":4671,"end_line":120,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":115},"source_file":{"bytes":5950,"sha256":"f3ee453093e0f15ac6191d22345e7111e7533ddb3f004ccc1847a3b8d917a503"},"source_occurrence_order":233,"source_path":"content/turing-machines/undecidability/halting-problem.tex","source_problem_id":"c80:OLP-0268:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":318,"sha256":"cd741185a5b4c39c05c4838149c1b86c17c5dca58b40699dfd103ff88c6e1de1"},"byte_end_exclusive":5498,"byte_start":5180,"end_line":122,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":117},"target_file":{"bytes":6588,"sha256":"f6b945b7bc25ed63d6c5e711bf2464cf4fb27b5bff73f0d8facef234b642ff8c"},"target_path":"locale/id/content/turing-machines/undecidability/halting-problem.tex"},"number":"32.2","physical_page":566,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=566","section_title_id":"Masalah Penghentian","solution_state":"not_audited","source_problem_id":"c80:OLP-0268:problem:001","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0268"},{"chapter":"main:32","component":"main","id":"c80:OLP-0268:problem:002:main-fol","local_reader_url":"reader.pdf#page=566","mapping":{"canonical_section_label":"tur:und:hal:sec","canonical_section_value":["32.4","463","Masalah Penghentian","section*.3759",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=566","combined_page":566,"destination":"probd*.3855","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0268","observed_import_path":"content/turing-machines/undecidability/halting-problem.tex","occurrence_id":"c80:OLP-0268:problem:002:main-fol","printed_number":"32.3","source":{"block":{"bytes":193,"sha256":"7187755577aa9092d89d42c4f8bf463a485961dc804e526eef95d938e5578cb2"},"byte_end_exclusive":5157,"byte_start":4964,"end_line":126,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":122},"source_file":{"bytes":5950,"sha256":"f3ee453093e0f15ac6191d22345e7111e7533ddb3f004ccc1847a3b8d917a503"},"source_occurrence_order":234,"source_path":"content/turing-machines/undecidability/halting-problem.tex","source_problem_id":"c80:OLP-0268:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":216,"sha256":"e68118f1fee004a465e67e89e085d3594032dd99a44364feda02a801f91d7846"},"byte_end_exclusive":5716,"byte_start":5500,"end_line":128,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":124},"target_file":{"bytes":6588,"sha256":"f6b945b7bc25ed63d6c5e711bf2464cf4fb27b5bff73f0d8facef234b642ff8c"},"target_path":"locale/id/content/turing-machines/undecidability/halting-problem.tex"},"number":"32.3","physical_page":566,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=566","section_title_id":"Masalah Penghentian","solution_state":"not_audited","source_problem_id":"c80:OLP-0268:problem:002","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0268"},{"chapter":"main:32","component":"main","id":"c80:OLP-0268:problem:003:main-fol","local_reader_url":"reader.pdf#page=566","mapping":{"canonical_section_label":"tur:und:hal:sec","canonical_section_value":["32.4","463","Masalah Penghentian","section*.3759",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=566","combined_page":566,"destination":"probd*.3857","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0268","observed_import_path":"content/turing-machines/undecidability/halting-problem.tex","occurrence_id":"c80:OLP-0268:problem:003:main-fol","printed_number":"32.4","source":{"block":{"bytes":459,"sha256":"1eceff52d07ea88834ebce851e905ffb27b670fffb1dc33e7f4a1262aea9a7ca"},"byte_end_exclusive":5620,"byte_start":5161,"end_line":136,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":128},"source_file":{"bytes":5950,"sha256":"f3ee453093e0f15ac6191d22345e7111e7533ddb3f004ccc1847a3b8d917a503"},"source_occurrence_order":235,"source_path":"content/turing-machines/undecidability/halting-problem.tex","source_problem_id":"c80:OLP-0268:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":514,"sha256":"98a578786de6c3787911de9e459c6b0488180bd30950be46c64a6b412a67c472"},"byte_end_exclusive":6232,"byte_start":5718,"end_line":138,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":130},"target_file":{"bytes":6588,"sha256":"f6b945b7bc25ed63d6c5e711bf2464cf4fb27b5bff73f0d8facef234b642ff8c"},"target_path":"locale/id/content/turing-machines/undecidability/halting-problem.tex"},"number":"32.4","physical_page":566,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=566","section_title_id":"Masalah Penghentian","solution_state":"not_audited","source_problem_id":"c80:OLP-0268:problem:003","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0268"},{"chapter":"main:32","component":"main","id":"c80:OLP-0268:problem:004:main-fol","local_reader_url":"reader.pdf#page=567","mapping":{"canonical_section_label":"tur:und:hal:sec","canonical_section_value":["32.4","463","Masalah Penghentian","section*.3759",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","combined_page":567,"destination":"probd*.3859","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0268","observed_import_path":"content/turing-machines/undecidability/halting-problem.tex","occurrence_id":"c80:OLP-0268:problem:004:main-fol","printed_number":"32.5","source":{"block":{"bytes":306,"sha256":"07166e6af7a55da972663cb622f659747426c6a92bef945e9e5272f63a8fbf3a"},"byte_end_exclusive":5930,"byte_start":5624,"end_line":147,"environment":"prob","environments":["cases"],"labels":[],"literal_labels":[],"ordinal":4,"start_line":138},"source_file":{"bytes":5950,"sha256":"f3ee453093e0f15ac6191d22345e7111e7533ddb3f004ccc1847a3b8d917a503"},"source_occurrence_order":236,"source_path":"content/turing-machines/undecidability/halting-problem.tex","source_problem_id":"c80:OLP-0268:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":337,"sha256":"4c4cf8b525d5cafe82b7a27894c498d0225c9cd446f59191080e1f1899590785"},"byte_end_exclusive":6571,"byte_start":6234,"end_line":149,"environment":"prob","environments":["cases"],"labels":[],"literal_labels":[],"ordinal":4,"start_line":140},"target_file":{"bytes":6588,"sha256":"f6b945b7bc25ed63d6c5e711bf2464cf4fb27b5bff73f0d8facef234b642ff8c"},"target_path":"locale/id/content/turing-machines/undecidability/halting-problem.tex"},"number":"32.5","physical_page":567,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","section_title_id":"Masalah Penghentian","solution_state":"not_audited","source_problem_id":"c80:OLP-0268:problem:004","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0268"},{"chapter":"main:32","component":"main","id":"c80:OLP-0270:problem:001:main-fol","local_reader_url":"reader.pdf#page=567","mapping":{"canonical_section_label":"tur:und:rep:sec","canonical_section_value":["32.6","465","Merepresentasikan Mesin Turing","section*.3775",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","combined_page":567,"destination":"probd*.3861","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0270","observed_import_path":"content/turing-machines/undecidability/representing-tms.tex","occurrence_id":"c80:OLP-0270:problem:001:main-fol","printed_number":"32.6","source":{"block":{"bytes":100,"sha256":"2392e9daa9a7f65276f05523d6ae3c03e92d70f2fb2391b55db4a691de4cbea1"},"byte_end_exclusive":8237,"byte_start":8137,"end_line":209,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":206},"source_file":{"bytes":8257,"sha256":"e27aa694148cad6fa6ad74cd0326a4330b4e250068ca0455f8329be697bde72d"},"source_occurrence_order":237,"source_path":"content/turing-machines/undecidability/representing-tms.tex","source_problem_id":"c80:OLP-0270:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":108,"sha256":"f15be6b3444d0f706c51fa24a82faa668ad23042319fa612c1172f5bbd3451df"},"byte_end_exclusive":8373,"byte_start":8265,"end_line":207,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":204},"target_file":{"bytes":8390,"sha256":"93c7d554d5241fd42bca8f748d83eb81d82f4037021930392e2d4e54040103d3"},"target_path":"locale/id/content/turing-machines/undecidability/representing-tms.tex"},"number":"32.6","physical_page":567,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","section_title_id":"Merepresentasikan Mesin Turing","solution_state":"not_audited","source_problem_id":"c80:OLP-0270:problem:001","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0270"},{"chapter":"main:32","component":"main","id":"c80:OLP-0271:problem:001:main-fol","local_reader_url":"reader.pdf#page=567","mapping":{"canonical_section_label":"tur:und:ver:sec","canonical_section_value":["32.7","468","Memverifikasi Representasi","section*.3797",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","combined_page":567,"destination":"probd*.3863","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0271","observed_import_path":"content/turing-machines/undecidability/verification.tex","occurrence_id":"c80:OLP-0271:problem:001:main-fol","printed_number":"32.7","source":{"block":{"bytes":119,"sha256":"c74e5539969e4f4dc114404028bc767bacdce29172a77f60dee4dcfd4d08e35d"},"byte_end_exclusive":11149,"byte_start":11030,"end_line":244,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":241},"source_file":{"bytes":14313,"sha256":"05b5a11a1aac078e442c710f0d29815833f684b0a40140a1705dca43cbd65351"},"source_occurrence_order":238,"source_path":"content/turing-machines/undecidability/verification.tex","source_problem_id":"c80:OLP-0271:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":116,"sha256":"c671cc05e783daa8fe410f1931128efd4b9631a883fcf0c633223d6e04fc9993"},"byte_end_exclusive":11747,"byte_start":11631,"end_line":249,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":246},"target_file":{"bytes":15086,"sha256":"212dc477c735aff0267431a8e61673c89a5ce646ff43d3feaf22a94948635eb5"},"target_path":"locale/id/content/turing-machines/undecidability/verification.tex"},"number":"32.7","physical_page":567,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","section_title_id":"Memverifikasi Representasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0271:problem:001","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0271"},{"chapter":"main:32","component":"main","id":"c80:OLP-0271:problem:002:main-fol","local_reader_url":"reader.pdf#page=567","mapping":{"canonical_section_label":"tur:und:ver:sec","canonical_section_value":["32.7","468","Memverifikasi Representasi","section*.3797",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","combined_page":567,"destination":"probd*.3865","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0271","observed_import_path":"content/turing-machines/undecidability/verification.tex","occurrence_id":"c80:OLP-0271:problem:002:main-fol","printed_number":"32.8","source":{"block":{"bytes":204,"sha256":"06940d2c3b85376532107eb01e4fd5e4d2563b3d9b3ea78714156fa96c8a67fd"},"byte_end_exclusive":11357,"byte_start":11153,"end_line":250,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":246},"source_file":{"bytes":14313,"sha256":"05b5a11a1aac078e442c710f0d29815833f684b0a40140a1705dca43cbd65351"},"source_occurrence_order":239,"source_path":"content/turing-machines/undecidability/verification.tex","source_problem_id":"c80:OLP-0271:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":223,"sha256":"89e3efaf990efe4645c54438051f436c7f4142f75b6fd8da46f5c36eb63e815a"},"byte_end_exclusive":11972,"byte_start":11749,"end_line":256,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":251},"target_file":{"bytes":15086,"sha256":"212dc477c735aff0267431a8e61673c89a5ce646ff43d3feaf22a94948635eb5"},"target_path":"locale/id/content/turing-machines/undecidability/verification.tex"},"number":"32.8","physical_page":567,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","section_title_id":"Memverifikasi Representasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0271:problem:002","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0271"},{"chapter":"main:32","component":"main","id":"c80:OLP-0271:problem:003:main-fol","local_reader_url":"reader.pdf#page=567","mapping":{"canonical_section_label":"tur:und:ver:sec","canonical_section_value":["32.7","468","Memverifikasi Representasi","section*.3797",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","combined_page":567,"destination":"probd*.3867","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0271","observed_import_path":"content/turing-machines/undecidability/verification.tex","occurrence_id":"c80:OLP-0271:problem:003:main-fol","printed_number":"32.9","source":{"block":{"bytes":300,"sha256":"392794dc704f0fb2b798205c9baf93c5595d2bcb7ae97508c809d511fbb63427"},"byte_end_exclusive":11661,"byte_start":11361,"end_line":258,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":252},"source_file":{"bytes":14313,"sha256":"05b5a11a1aac078e442c710f0d29815833f684b0a40140a1705dca43cbd65351"},"source_occurrence_order":240,"source_path":"content/turing-machines/undecidability/verification.tex","source_problem_id":"c80:OLP-0271:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":298,"sha256":"1a28de07f408b447ba25d9b76758cf840543f264244b237406a5c16560966d9c"},"byte_end_exclusive":12272,"byte_start":11974,"end_line":264,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":258},"target_file":{"bytes":15086,"sha256":"212dc477c735aff0267431a8e61673c89a5ce646ff43d3feaf22a94948635eb5"},"target_path":"locale/id/content/turing-machines/undecidability/verification.tex"},"number":"32.9","physical_page":567,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","section_title_id":"Memverifikasi Representasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0271:problem:003","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0271"},{"chapter":"main:32","component":"main","id":"c80:OLP-0273:problem:001:main-fol","local_reader_url":"reader.pdf#page=567","mapping":{"canonical_section_label":"tur:und:tra:sec","canonical_section_value":["32.9","473","Teorema Trakhtenbrot","section*.3830",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","combined_page":567,"destination":"probd*.3869","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0273","observed_import_path":"content/turing-machines/undecidability/trakhtenbrot.tex","occurrence_id":"c80:OLP-0273:problem:001:main-fol","printed_number":"32.10","source":{"block":{"bytes":1028,"sha256":"f7fb5b2a53a0b7acde445542fb2749cc65a3829243fb1a0ddec9a6da72b148c8"},"byte_end_exclusive":4254,"byte_start":3226,"end_line":86,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":68},"source_file":{"bytes":11251,"sha256":"d0ab9328c29faabbc06e98c43cd4610a497b45d84b86ac33fbddd1abafac7665"},"source_occurrence_order":241,"source_path":"content/turing-machines/undecidability/trakhtenbrot.tex","source_problem_id":"c80:OLP-0273:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":1095,"sha256":"2a67ec39d8bc602ed4ec7b872bc70339116c989ee1e3750c9b7e5230a3fdaab3"},"byte_end_exclusive":4604,"byte_start":3509,"end_line":92,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":70},"target_file":{"bytes":12167,"sha256":"63113eec71e48783aeaf39d5b1323d74b7c033f40ade9458bd37e6db392d4cf5"},"target_path":"locale/id/content/turing-machines/undecidability/trakhtenbrot.tex"},"number":"32.10","physical_page":567,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","section_title_id":"Teorema Trakhtenbrot","solution_state":"not_audited","source_problem_id":"c80:OLP-0273:problem:001","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0273"},{"chapter":"main:32","component":"main","id":"c80:OLP-0273:problem:002:main-fol","local_reader_url":"reader.pdf#page=567","mapping":{"canonical_section_label":"tur:und:tra:sec","canonical_section_value":["32.9","473","Teorema Trakhtenbrot","section*.3830",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","combined_page":567,"destination":"probd*.3871","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0273","observed_import_path":"content/turing-machines/undecidability/trakhtenbrot.tex","occurrence_id":"c80:OLP-0273:problem:002:main-fol","printed_number":"32.11","source":{"block":{"bytes":139,"sha256":"0a41680ed1d2c392a08a1566ca42f71be3a48a3a858724962d38f51f9aca54e7"},"byte_end_exclusive":8391,"byte_start":8252,"end_line":190,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":187},"source_file":{"bytes":11251,"sha256":"d0ab9328c29faabbc06e98c43cd4610a497b45d84b86ac33fbddd1abafac7665"},"source_occurrence_order":242,"source_path":"content/turing-machines/undecidability/trakhtenbrot.tex","source_problem_id":"c80:OLP-0273:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":143,"sha256":"729328360233727bd5baeac4b6a199babe59568007b1d5eb23e2174a8dfca333"},"byte_end_exclusive":8874,"byte_start":8731,"end_line":198,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":195},"target_file":{"bytes":12167,"sha256":"63113eec71e48783aeaf39d5b1323d74b7c033f40ade9458bd37e6db392d4cf5"},"target_path":"locale/id/content/turing-machines/undecidability/trakhtenbrot.tex"},"number":"32.11","physical_page":567,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","section_title_id":"Teorema Trakhtenbrot","solution_state":"not_audited","source_problem_id":"c80:OLP-0273:problem:002","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0273"},{"chapter":"main:32","component":"main","id":"c80:OLP-0273:problem:003:main-fol","local_reader_url":"reader.pdf#page=567","mapping":{"canonical_section_label":"tur:und:tra:sec","canonical_section_value":["32.9","473","Teorema Trakhtenbrot","section*.3830",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","combined_page":567,"destination":"probd*.3873","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0273","observed_import_path":"content/turing-machines/undecidability/trakhtenbrot.tex","occurrence_id":"c80:OLP-0273:problem:003:main-fol","printed_number":"32.12","source":{"block":{"bytes":208,"sha256":"ff8069dd87d8ae849514e3b8c0cf26e9cb7b7989be705822a92326e1a9c0359f"},"byte_end_exclusive":9794,"byte_start":9586,"end_line":221,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":217},"source_file":{"bytes":11251,"sha256":"d0ab9328c29faabbc06e98c43cd4610a497b45d84b86ac33fbddd1abafac7665"},"source_occurrence_order":243,"source_path":"content/turing-machines/undecidability/trakhtenbrot.tex","source_problem_id":"c80:OLP-0273:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":229,"sha256":"5639f090815dfa510ebd93cea8f40d2fb7d64ac2bfd03f7cf20e659559bdfe4d"},"byte_end_exclusive":10486,"byte_start":10257,"end_line":233,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":229},"target_file":{"bytes":12167,"sha256":"63113eec71e48783aeaf39d5b1323d74b7c033f40ade9458bd37e6db392d4cf5"},"target_path":"locale/id/content/turing-machines/undecidability/trakhtenbrot.tex"},"number":"32.12","physical_page":567,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","section_title_id":"Teorema Trakhtenbrot","solution_state":"not_audited","source_problem_id":"c80:OLP-0273:problem:003","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0273"},{"chapter":"main:32","component":"main","id":"c80:OLP-0273:problem:004:main-fol","local_reader_url":"reader.pdf#page=567","mapping":{"canonical_section_label":"tur:und:tra:sec","canonical_section_value":["32.9","473","Teorema Trakhtenbrot","section*.3830",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","combined_page":567,"destination":"probd*.3875","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0273","observed_import_path":"content/turing-machines/undecidability/trakhtenbrot.tex","occurrence_id":"c80:OLP-0273:problem:004:main-fol","printed_number":"32.13","source":{"block":{"bytes":432,"sha256":"ddbe656c56f8509ca40240958fd6c9bdf44ba36c881bbebc47639644dd1d51d2"},"byte_end_exclusive":11229,"byte_start":10797,"end_line":257,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":249},"source_file":{"bytes":11251,"sha256":"d0ab9328c29faabbc06e98c43cd4610a497b45d84b86ac33fbddd1abafac7665"},"source_occurrence_order":244,"source_path":"content/turing-machines/undecidability/trakhtenbrot.tex","source_problem_id":"c80:OLP-0273:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":499,"sha256":"b53db52f668edd8f2b43bda1eb0cce8616b91da7bcfa7d760d5e9f8cacff1155"},"byte_end_exclusive":12149,"byte_start":11650,"end_line":271,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":263},"target_file":{"bytes":12167,"sha256":"63113eec71e48783aeaf39d5b1323d74b7c033f40ade9458bd37e6db392d4cf5"},"target_path":"locale/id/content/turing-machines/undecidability/trakhtenbrot.tex"},"number":"32.13","physical_page":567,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=567","section_title_id":"Teorema Trakhtenbrot","solution_state":"not_audited","source_problem_id":"c80:OLP-0273:problem:004","source_reuse_count":1,"topic":"turing-machines","unit_id":"OLP-0273"},{"chapter":"main:33","component":"main","id":"c80:OLP-0279:problem:001:main-fol","local_reader_url":"reader.pdf#page=583","mapping":{"canonical_section_label":"inc:int:dec:sec","canonical_section_value":["33.4","487","Ketakterputusan dan Ketaklengkapan","section*.3937",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=583","combined_page":583,"destination":"probd*.3949","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0279","observed_import_path":"content/incompleteness/introduction/undecidability.tex","occurrence_id":"c80:OLP-0279:problem:001:main-fol","printed_number":"33.1","source":{"block":{"bytes":167,"sha256":"37bd8cbc365feeffe778652aa09d0c1514675792aa9c7d771e3340f66a28688e"},"byte_end_exclusive":4999,"byte_start":4832,"end_line":116,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":112},"source_file":{"bytes":6143,"sha256":"5f2510480cd5f60fcfcc684dd91fb900e682c13ed3b52aec44c22bb70397c4f8"},"source_occurrence_order":245,"source_path":"content/incompleteness/introduction/undecidability.tex","source_problem_id":"c80:OLP-0279:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":195,"sha256":"f2b48e8ad704365653b83ec73c01bff2296199e1d078bda273e4ee20636e7b38"},"byte_end_exclusive":5381,"byte_start":5186,"end_line":119,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":115},"target_file":{"bytes":6562,"sha256":"6466a75fd23982401d8b3559c5312f80c3d61cec67d87555c9f5e83a10c325b1"},"target_path":"locale/id/content/incompleteness/introduction/undecidability.tex"},"number":"33.1","physical_page":583,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=583","section_title_id":"Ketakterputusan dan Ketaklengkapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0279:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0279"},{"chapter":"main:34","component":"main","id":"c80:OLP-0283:problem:001:main-fol","local_reader_url":"reader.pdf#page=603","mapping":{"canonical_section_label":"inc:art:trm:sec","canonical_section_value":["34.3","493","Pengodean Suku","section*.3968",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","combined_page":603,"destination":"probd*.4073","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0283","observed_import_path":"content/incompleteness/arithmetization-syntax/coding-terms.tex","occurrence_id":"c80:OLP-0283:problem:001:main-fol","printed_number":"34.1","source":{"block":{"bytes":183,"sha256":"c043fdd908115c150628f765fd9774e82437e73ecd26986657e4234e94af9e92"},"byte_end_exclusive":4406,"byte_start":4223,"end_line":99,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":95},"source_file":{"bytes":4771,"sha256":"9b178e3ceebb5293c82d56e355ca312aec3bfe3be553f09f7c23df9119dc78b8"},"source_occurrence_order":246,"source_path":"content/incompleteness/arithmetization-syntax/coding-terms.tex","source_problem_id":"c80:OLP-0283:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":183,"sha256":"1af6e5ee55a2ff759ca410b3c174245194182340e15cd5602f440b8f276206d2"},"byte_end_exclusive":4687,"byte_start":4504,"end_line":100,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":96},"target_file":{"bytes":5047,"sha256":"c98fc780ba293c004dfe2ba465df6106027d0d35bacfcb8aee3ea5b316394063"},"target_path":"locale/id/content/incompleteness/arithmetization-syntax/coding-terms.tex"},"number":"34.1","physical_page":603,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","section_title_id":"Pengodean Suku","solution_state":"not_audited","source_problem_id":"c80:OLP-0283:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0283"},{"chapter":"main:34","component":"main","id":"c80:OLP-0284:problem:001:main-fol","local_reader_url":"reader.pdf#page=603","mapping":{"canonical_section_label":"inc:art:frm:sec","canonical_section_value":["34.4","494","Pengodean \\printtoken {P}{formula}","section*.3981",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","combined_page":603,"destination":"probd*.4075","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0284","observed_import_path":"content/incompleteness/arithmetization-syntax/coding-formulas.tex","occurrence_id":"c80:OLP-0284:problem:001:main-fol","printed_number":"34.2","source":{"block":{"bytes":172,"sha256":"8788adc184a7cd2b1bbdb121fb885128529ffcfbcb2c7a4d7813037b33093570"},"byte_end_exclusive":1882,"byte_start":1710,"end_line":59,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":55},"source_file":{"bytes":2818,"sha256":"4109b6c1085f27ff1e2410537f29cd688c22cc4446e3978572b7dd93b0cf32f3"},"source_occurrence_order":247,"source_path":"content/incompleteness/arithmetization-syntax/coding-formulas.tex","source_problem_id":"c80:OLP-0284:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":181,"sha256":"3667dff8935e9f015b6708f9a20d72739b0c34cffd50e2f654ef9d5e103712dc"},"byte_end_exclusive":2201,"byte_start":2020,"end_line":61,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":57},"target_file":{"bytes":3210,"sha256":"7fa53f5f501b8e8b1f9d47c06d8629b356fdf68f92f4195f1a321941a36b492c"},"target_path":"locale/id/content/incompleteness/arithmetization-syntax/coding-formulas.tex"},"number":"34.2","physical_page":603,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","section_title_id":"Pengodean Formula","solution_state":"not_audited","source_problem_id":"c80:OLP-0284:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0284"},{"chapter":"main:34","component":"main","id":"c80:OLP-0284:problem:002:main-fol","local_reader_url":"reader.pdf#page=603","mapping":{"canonical_section_label":"inc:art:frm:sec","canonical_section_value":["34.4","494","Pengodean \\printtoken {P}{formula}","section*.3981",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","combined_page":603,"destination":"probd*.4077","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0284","observed_import_path":"content/incompleteness/arithmetization-syntax/coding-formulas.tex","occurrence_id":"c80:OLP-0284:problem:002:main-fol","printed_number":"34.3","source":{"block":{"bytes":193,"sha256":"8966f200042bd7b2c0e9f48c41203787b9aa7838e1a5e862a303196b37a6b131"},"byte_end_exclusive":2380,"byte_start":2187,"end_line":76,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":72},"source_file":{"bytes":2818,"sha256":"4109b6c1085f27ff1e2410537f29cd688c22cc4446e3978572b7dd93b0cf32f3"},"source_occurrence_order":248,"source_path":"content/incompleteness/arithmetization-syntax/coding-formulas.tex","source_problem_id":"c80:OLP-0284:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":225,"sha256":"833ad89050a4c403f7ecd1d926a10b65a338b78faf17d6ffc08002e4f8cb438f"},"byte_end_exclusive":2734,"byte_start":2509,"end_line":78,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":74},"target_file":{"bytes":3210,"sha256":"7fa53f5f501b8e8b1f9d47c06d8629b356fdf68f92f4195f1a321941a36b492c"},"target_path":"locale/id/content/incompleteness/arithmetization-syntax/coding-formulas.tex"},"number":"34.3","physical_page":603,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","section_title_id":"Pengodean Formula","solution_state":"not_audited","source_problem_id":"c80:OLP-0284:problem:002","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0284"},{"chapter":"main:34","component":"main","id":"c80:OLP-0285:problem:001:main-fol","local_reader_url":"reader.pdf#page=603","mapping":{"canonical_section_label":"inc:art:sub:sec","canonical_section_value":["34.5","495","Substitusi","section*.3998",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","combined_page":603,"destination":"probd*.4079","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0285","observed_import_path":"content/incompleteness/arithmetization-syntax/substitution.tex","occurrence_id":"c80:OLP-0285:problem:001:main-fol","printed_number":"34.4","source":{"block":{"bytes":68,"sha256":"a23888b6c95c5dc38fcc0f98e3c8a34089ce593d544f729a4ca683f83d463684"},"byte_end_exclusive":1594,"byte_start":1526,"end_line":54,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":52},"source_file":{"bytes":1614,"sha256":"bc67d981609236a40000a6a0a162ca22b3de0ade1a3b41911a7fc7089649e74a"},"source_occurrence_order":249,"source_path":"content/incompleteness/arithmetization-syntax/substitution.tex","source_problem_id":"c80:OLP-0285:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":70,"sha256":"1d7660bdf5b74d928c79e4e7a2982863937c51c81ef0b96485f438c2f1c18df0"},"byte_end_exclusive":1589,"byte_start":1519,"end_line":52,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":50},"target_file":{"bytes":1606,"sha256":"be5f4c64483c9246ab8a80ec33a612789375360ca323b268caed79ac000460d1"},"target_path":"locale/id/content/incompleteness/arithmetization-syntax/substitution.tex"},"number":"34.4","physical_page":603,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","section_title_id":"Substitusi","solution_state":"not_audited","source_problem_id":"c80:OLP-0285:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0285"},{"chapter":"main:34","component":"main","id":"c80:OLP-0286:problem:001:main-fol","local_reader_url":"reader.pdf#page=603","mapping":{"canonical_section_label":"inc:art:plk:sec","canonical_section_value":["34.6","496","\\usetoken {P}{derivation} dalam $\\Log {LK}$","section*.4005",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","combined_page":603,"destination":"probd*.4081","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0286","observed_import_path":"content/incompleteness/arithmetization-syntax/proofs-in-lk.tex","occurrence_id":"c80:OLP-0286:problem:001:main-fol","printed_number":"34.5","source":{"block":{"bytes":612,"sha256":"87cecaf8bab1e83b7f004dfbecb4285d28eca7ba2f2ada951bd2b057fbfed082"},"byte_end_exclusive":9685,"byte_start":9073,"end_line":231,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":217},"source_file":{"bytes":11888,"sha256":"cfe9c7d281dffc120412291224ee312054c74d3f5bcd677079dc81a5dc0378d7"},"source_occurrence_order":250,"source_path":"content/incompleteness/arithmetization-syntax/proofs-in-lk.tex","source_problem_id":"c80:OLP-0286:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":608,"sha256":"45bf9e7eec3b256dab4bea0b19f53802e03b9e7c92d4b14152e7d95f935b5c12"},"byte_end_exclusive":9902,"byte_start":9294,"end_line":228,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":215},"target_file":{"bytes":12201,"sha256":"ab0b21d1108c5dcec5e5f165af1462b6c00582fcd3509705d86412ab0fa9fa2f"},"target_path":"locale/id/content/incompleteness/arithmetization-syntax/proofs-in-lk.tex"},"number":"34.5","physical_page":603,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","section_title_id":"Derivasi dalam LK","solution_state":"not_audited","source_problem_id":"c80:OLP-0286:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0286"},{"chapter":"main:34","component":"main","id":"c80:OLP-0287:problem:001:main-fol","local_reader_url":"reader.pdf#page=603","mapping":{"canonical_section_label":"inc:art:pnd:sec","canonical_section_value":["34.7","499","\\usetoken {P}{derivation} dalam Deduksi Alami","section*.4021",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","combined_page":603,"destination":"probd*.4087","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0287","observed_import_path":"content/incompleteness/arithmetization-syntax/proofs-in-nd.tex","occurrence_id":"c80:OLP-0287:problem:001:main-fol","printed_number":"34.6","source":{"block":{"bytes":802,"sha256":"b3b2a0786791c411a14d9153a05635be31647af49416518bd08d8f387f5ea9ee"},"byte_end_exclusive":10720,"byte_start":9918,"end_line":247,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":230},"source_file":{"bytes":14424,"sha256":"55474c8446caeca99377485d8c57460c3a492300243be06d64952f220fdd432f"},"source_occurrence_order":251,"source_path":"content/incompleteness/arithmetization-syntax/proofs-in-nd.tex","source_problem_id":"c80:OLP-0287:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":803,"sha256":"cfaa012e5ed03155fe554c45804a46f78b3e31d27acddcbfbedf1d9d6d27baeb"},"byte_end_exclusive":11046,"byte_start":10243,"end_line":245,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":229},"target_file":{"bytes":15159,"sha256":"c4443d0b828d48219f5ab2b050cd1c5c7595e510578e1ac7bc0a27a912c53368"},"target_path":"locale/id/content/incompleteness/arithmetization-syntax/proofs-in-nd.tex"},"number":"34.6","physical_page":603,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=603","section_title_id":"Derivasi dalam Deduksi Alami","solution_state":"not_audited","source_problem_id":"c80:OLP-0287:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0287"},{"chapter":"main:34","component":"main","id":"c80:OLP-0288:problem:001:main-fol","local_reader_url":"reader.pdf#page=604","mapping":{"canonical_section_label":"inc:art:pax:sec","canonical_section_value":["34.8","503","\\usetoken {P}{derivation} Aksiomatik","section*.4047",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=604","combined_page":604,"destination":"probd*.4093","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0288","observed_import_path":"content/incompleteness/arithmetization-syntax/proofs-in-ax.tex","occurrence_id":"c80:OLP-0288:problem:001:main-fol","printed_number":"34.7","source":{"block":{"bytes":309,"sha256":"4e155d960783087e2ec72a2a5100872922fa22a24955de073a511a70dce3b476"},"byte_end_exclusive":6740,"byte_start":6431,"end_line":160,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":152},"source_file":{"bytes":9616,"sha256":"08e0df4fde4ac32dee1672b4135f83e835033c845a64820692ce821ebcb1fb8e"},"source_occurrence_order":252,"source_path":"content/incompleteness/arithmetization-syntax/proofs-in-ax.tex","source_problem_id":"c80:OLP-0288:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":308,"sha256":"ad7ab15877766d4e884623f7014b38d6311d169c4a8f7d193f4b6de31178997b"},"byte_end_exclusive":7114,"byte_start":6806,"end_line":164,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":156},"target_file":{"bytes":10144,"sha256":"d173def38e6686f7c9309dd3a7cac832471a5e3b30f09cf2f0741ac11efaee5d"},"target_path":"locale/id/content/incompleteness/arithmetization-syntax/proofs-in-ax.tex"},"number":"34.7","physical_page":604,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=604","section_title_id":"Derivasi Aksiomatik","solution_state":"not_audited","source_problem_id":"c80:OLP-0288:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0288"},{"chapter":"main:35","component":"main","id":"c80:OLP-0292:problem:001:main-fol","local_reader_url":"reader.pdf#page=627","mapping":{"canonical_section_label":"inc:req:bet:sec","canonical_section_value":["35.3","511","Lema Fungsi Beta","section*.4128",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","combined_page":627,"destination":"probd*.4262","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0292","observed_import_path":"content/incompleteness/representability-in-q/beta-function.tex","occurrence_id":"c80:OLP-0292:problem:001:main-fol","printed_number":"35.1","source":{"block":{"bytes":269,"sha256":"f71dfb224984b0292a9ab24b7baa47af361965e4560e6487a995fa5e36391be9"},"byte_end_exclusive":6973,"byte_start":6704,"end_line":179,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":174},"source_file":{"bytes":6993,"sha256":"4ba46568ec3fc0ac66b9769d4ecf30f4cfce1bf09e4b27bd99540bbfd9eff9ed"},"source_occurrence_order":253,"source_path":"content/incompleteness/representability-in-q/beta-function.tex","source_problem_id":"c80:OLP-0292:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":272,"sha256":"a6e2e639ce69b79d3cedb7a420ce646b7e18d61a1a3bd23915c4106df850849d"},"byte_end_exclusive":7554,"byte_start":7282,"end_line":184,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":179},"target_file":{"bytes":7571,"sha256":"1b36f9f0dc6fc5e965ef0019d8c5fe4654fce8a9d0bb6a341bd70062915af96f"},"target_path":"locale/id/content/incompleteness/representability-in-q/beta-function.tex"},"number":"35.1","physical_page":627,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","section_title_id":"Lema Fungsi Beta","solution_state":"not_audited","source_problem_id":"c80:OLP-0292:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0292"},{"chapter":"main:35","component":"main","id":"c80:OLP-0294:problem:001:main-fol","local_reader_url":"reader.pdf#page=627","mapping":{"canonical_section_label":"inc:req:bre:sec","canonical_section_value":["35.5","514","Fungsi-Fungsi Dasar Dapat Direpresentasikan dalam~$\\Th {Q}$","section*.4150",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","combined_page":627,"destination":"probd*.4264","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0294","observed_import_path":"content/incompleteness/representability-in-q/basic-representable.tex","occurrence_id":"c80:OLP-0294:problem:001:main-fol","printed_number":"35.2","source":{"block":{"bytes":148,"sha256":"045f56ce051e2325c62b1efd720418cc67c9241676e45ca8cee4d70b0a1122d5"},"byte_end_exclusive":1974,"byte_start":1826,"end_line":52,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":49},"source_file":{"bytes":8619,"sha256":"05adb7ef6d0558b05056834a66c31d87dcf5f8e0f90ebf2afb26b5f0cc9b1be3"},"source_occurrence_order":254,"source_path":"content/incompleteness/representability-in-q/basic-representable.tex","source_problem_id":"c80:OLP-0294:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":157,"sha256":"c25b2105f20596f919f81ef460c4036046842f551847ae00e906f6d0f9008b00"},"byte_end_exclusive":2051,"byte_start":1894,"end_line":54,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":51},"target_file":{"bytes":9209,"sha256":"ccce84ebbb2db06ac35e55c3b5dba046be23a3e4ac03c85af6013eff60eaa03d"},"target_path":"locale/id/content/incompleteness/representability-in-q/basic-representable.tex"},"number":"35.2","physical_page":627,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","section_title_id":"Fungsi-Fungsi Dasar Dapat Direpresentasikan dalam Q","solution_state":"not_audited","source_problem_id":"c80:OLP-0294:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0294"},{"chapter":"main:35","component":"main","id":"c80:OLP-0294:problem:002:main-fol","local_reader_url":"reader.pdf#page=627","mapping":{"canonical_section_label":"inc:req:bre:sec","canonical_section_value":["35.5","514","Fungsi-Fungsi Dasar Dapat Direpresentasikan dalam~$\\Th {Q}$","section*.4150",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","combined_page":627,"destination":"probd*.4266","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0294","observed_import_path":"content/incompleteness/representability-in-q/basic-representable.tex","occurrence_id":"c80:OLP-0294:problem:002:main-fol","printed_number":"35.3","source":{"block":{"bytes":73,"sha256":"59481e37273db9509fa1e9788ccb439f87769f12536da9a8f176e63930b64c99"},"byte_end_exclusive":7662,"byte_start":7589,"end_line":209,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":207},"source_file":{"bytes":8619,"sha256":"05adb7ef6d0558b05056834a66c31d87dcf5f8e0f90ebf2afb26b5f0cc9b1be3"},"source_occurrence_order":255,"source_path":"content/incompleteness/representability-in-q/basic-representable.tex","source_problem_id":"c80:OLP-0294:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":74,"sha256":"8b7e961ce5d86efb8a07c17a90d52f3891320b4987c54e378088022f6631e102"},"byte_end_exclusive":8201,"byte_start":8127,"end_line":218,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":216},"target_file":{"bytes":9209,"sha256":"ccce84ebbb2db06ac35e55c3b5dba046be23a3e4ac03c85af6013eff60eaa03d"},"target_path":"locale/id/content/incompleteness/representability-in-q/basic-representable.tex"},"number":"35.3","physical_page":627,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","section_title_id":"Fungsi-Fungsi Dasar Dapat Direpresentasikan dalam Q","solution_state":"not_audited","source_problem_id":"c80:OLP-0294:problem:002","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0294"},{"chapter":"main:35","component":"main","id":"c80:OLP-0294:problem:003:main-fol","local_reader_url":"reader.pdf#page=627","mapping":{"canonical_section_label":"inc:req:bre:sec","canonical_section_value":["35.5","514","Fungsi-Fungsi Dasar Dapat Direpresentasikan dalam~$\\Th {Q}$","section*.4150",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","combined_page":627,"destination":"probd*.4268","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0294","observed_import_path":"content/incompleteness/representability-in-q/basic-representable.tex","occurrence_id":"c80:OLP-0294:problem:003:main-fol","printed_number":"35.4","source":{"block":{"bytes":118,"sha256":"ea00e2a6c9f2653ad06b0d275a503e7ec35011940cdddb212d8e0a8a842894c3"},"byte_end_exclusive":7784,"byte_start":7666,"end_line":214,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":211},"source_file":{"bytes":8619,"sha256":"05adb7ef6d0558b05056834a66c31d87dcf5f8e0f90ebf2afb26b5f0cc9b1be3"},"source_occurrence_order":256,"source_path":"content/incompleteness/representability-in-q/basic-representable.tex","source_problem_id":"c80:OLP-0294:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":128,"sha256":"5ba444eca1b88b9020cad13b62e5670b2e24398b0fb0a4dfd4d2c3f9a84058ba"},"byte_end_exclusive":8331,"byte_start":8203,"end_line":223,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":220},"target_file":{"bytes":9209,"sha256":"ccce84ebbb2db06ac35e55c3b5dba046be23a3e4ac03c85af6013eff60eaa03d"},"target_path":"locale/id/content/incompleteness/representability-in-q/basic-representable.tex"},"number":"35.4","physical_page":627,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","section_title_id":"Fungsi-Fungsi Dasar Dapat Direpresentasikan dalam Q","solution_state":"not_audited","source_problem_id":"c80:OLP-0294:problem:003","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0294"},{"chapter":"main:35","component":"main","id":"c80:OLP-0295:problem:001:main-fol","local_reader_url":"reader.pdf#page=627","mapping":{"canonical_section_label":"inc:req:cmp:sec","canonical_section_value":["35.6","517","Komposisi Dapat Direpresentasikan dalam $\\Th {Q}$","section*.4175",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","combined_page":627,"destination":"probd*.4270","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0295","observed_import_path":"content/incompleteness/representability-in-q/composition-representable.tex","occurrence_id":"c80:OLP-0295:problem:001:main-fol","printed_number":"35.5","source":{"block":{"bytes":207,"sha256":"1f1927e95b2175082f41094331ecc9b9113ace98ec0c7826865f51a9d17710c4"},"byte_end_exclusive":3530,"byte_start":3323,"end_line":99,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":95},"source_file":{"bytes":3550,"sha256":"d22633ee0bf189ad4dbc0e58588cbab3293ba97014a16064c2804f4db38fd6ab"},"source_occurrence_order":257,"source_path":"content/incompleteness/representability-in-q/composition-representable.tex","source_problem_id":"c80:OLP-0295:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":223,"sha256":"673008d6ce6ecdb3c335018834379fde3cc03b00e347563e8a78e8522c0a919b"},"byte_end_exclusive":3709,"byte_start":3486,"end_line":104,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":100},"target_file":{"bytes":3726,"sha256":"880a75a4a32158eb90719fbb1404c36fccad4ffdc2d088d40b1905b221669b4b"},"target_path":"locale/id/content/incompleteness/representability-in-q/composition-representable.tex"},"number":"35.5","physical_page":627,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","section_title_id":"Komposisi Dapat Direpresentasikan dalam Q","solution_state":"not_audited","source_problem_id":"c80:OLP-0295:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0295"},{"chapter":"main:35","component":"main","id":"c80:OLP-0298:problem:001:main-fol","local_reader_url":"reader.pdf#page=627","mapping":{"canonical_section_label":"inc:req:rel:sec","canonical_section_value":["35.9","522","Merepresentasikan Relasi","section*.4212",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","combined_page":627,"destination":"probd*.4272","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0298","observed_import_path":"content/incompleteness/representability-in-q/representing-relations.tex","occurrence_id":"c80:OLP-0298:problem:001:main-fol","printed_number":"35.6","source":{"block":{"bytes":90,"sha256":"ad17001dca73e2ad5c8f229066dede2248419565d247e6c9189b5317868849c0"},"byte_end_exclusive":2451,"byte_start":2361,"end_line":60,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":58},"source_file":{"bytes":2471,"sha256":"aa293645fefba6b196a4c52f9de43e69a86f3e0747e6420573add3349236d3f6"},"source_occurrence_order":258,"source_path":"content/incompleteness/representability-in-q/representing-relations.tex","source_problem_id":"c80:OLP-0298:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":114,"sha256":"94bfa4809f0380ad2ceeb4037cd108eb2fe73080eb43827ae33abb0916c13029"},"byte_end_exclusive":2586,"byte_start":2472,"end_line":64,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":61},"target_file":{"bytes":2603,"sha256":"efbdd4599b6efe4aada88b1406696e7593d8b0ec448fc6b481949047a1b5dbcd"},"target_path":"locale/id/content/incompleteness/representability-in-q/representing-relations.tex"},"number":"35.6","physical_page":627,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","section_title_id":"Merepresentasikan Relasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0298:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0298"},{"chapter":"main:35","component":"main","id":"c80:OLP-0300:problem:001:main-fol","local_reader_url":"reader.pdf#page=627","mapping":{"canonical_section_label":"inc:inp:s1c:sec","canonical_section_value":["35.11","523","Kelengkapan \\texorpdfstring {$\\Sigma _1$}{Sigma-1}","section*.4225",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","combined_page":627,"destination":"probd*.4274","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0300","observed_import_path":"content/incompleteness/representability-in-q/sigma1-completeness.tex","occurrence_id":"c80:OLP-0300:problem:001:main-fol","printed_number":"35.7","source":{"block":{"bytes":105,"sha256":"45613aa9766e45538ce9c72ae59f554662d33e616b5805dbe35ba7749d80dce1"},"byte_end_exclusive":3483,"byte_start":3378,"end_line":94,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":91},"source_file":{"bytes":11879,"sha256":"769ec60e34823143347732bbf659035f00c18a93d627e795cc597b3442bc11fe"},"source_occurrence_order":259,"source_path":"content/incompleteness/representability-in-q/sigma1-completeness.tex","source_problem_id":"c80:OLP-0300:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":114,"sha256":"403e7fb1a3226e370cb942c43fc506751fd5a4316a66d91e410309ae8b110109"},"byte_end_exclusive":3632,"byte_start":3518,"end_line":93,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":90},"target_file":{"bytes":12369,"sha256":"5bc0b89535103f9020b350d10b638405327d494570745e808daec14c6b91f181"},"target_path":"locale/id/content/incompleteness/representability-in-q/sigma1-completeness.tex"},"number":"35.7","physical_page":627,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","section_title_id":"Kelengkapan Sigma-1","solution_state":"not_audited","source_problem_id":"c80:OLP-0300:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0300"},{"chapter":"main:35","component":"main","id":"c80:OLP-0300:problem:002:main-fol","local_reader_url":"reader.pdf#page=627","mapping":{"canonical_section_label":"inc:inp:s1c:sec","canonical_section_value":["35.11","523","Kelengkapan \\texorpdfstring {$\\Sigma _1$}{Sigma-1}","section*.4225",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","combined_page":627,"destination":"probd*.4276","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0300","observed_import_path":"content/incompleteness/representability-in-q/sigma1-completeness.tex","occurrence_id":"c80:OLP-0300:problem:002:main-fol","printed_number":"35.8","source":{"block":{"bytes":108,"sha256":"06c6abee0b4b06af1b74ebaf4727dfe4428265c9872b9b059d520f36c0616ec0"},"byte_end_exclusive":7803,"byte_start":7695,"end_line":198,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":195},"source_file":{"bytes":11879,"sha256":"769ec60e34823143347732bbf659035f00c18a93d627e795cc597b3442bc11fe"},"source_occurrence_order":260,"source_path":"content/incompleteness/representability-in-q/sigma1-completeness.tex","source_problem_id":"c80:OLP-0300:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":116,"sha256":"b7832dc39067b70ce46a6e9b9be6cb9572b089fb8144f27f65b84d86a05f1f1a"},"byte_end_exclusive":8174,"byte_start":8058,"end_line":201,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":198},"target_file":{"bytes":12369,"sha256":"5bc0b89535103f9020b350d10b638405327d494570745e808daec14c6b91f181"},"target_path":"locale/id/content/incompleteness/representability-in-q/sigma1-completeness.tex"},"number":"35.8","physical_page":627,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=627","section_title_id":"Kelengkapan Sigma-1","solution_state":"not_audited","source_problem_id":"c80:OLP-0300:problem:002","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0300"},{"chapter":"main:35","component":"main","id":"c80:OLP-0300:problem:003:main-fol","local_reader_url":"reader.pdf#page=628","mapping":{"canonical_section_label":"inc:inp:s1c:sec","canonical_section_value":["35.11","523","Kelengkapan \\texorpdfstring {$\\Sigma _1$}{Sigma-1}","section*.4225",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=628","combined_page":628,"destination":"probd*.4278","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0300","observed_import_path":"content/incompleteness/representability-in-q/sigma1-completeness.tex","occurrence_id":"c80:OLP-0300:problem:003:main-fol","printed_number":"35.9","source":{"block":{"bytes":108,"sha256":"c98bb8438fef25db396f29eb80df11f95530caf38e516c11e342f27592ce92c8"},"byte_end_exclusive":11177,"byte_start":11069,"end_line":280,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":277},"source_file":{"bytes":11879,"sha256":"769ec60e34823143347732bbf659035f00c18a93d627e795cc597b3442bc11fe"},"source_occurrence_order":261,"source_path":"content/incompleteness/representability-in-q/sigma1-completeness.tex","source_problem_id":"c80:OLP-0300:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":116,"sha256":"5077675dcb8e950d5c9e503017003d05db65b15be389783ccdbf240689ce100d"},"byte_end_exclusive":11654,"byte_start":11538,"end_line":279,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":276},"target_file":{"bytes":12369,"sha256":"5bc0b89535103f9020b350d10b638405327d494570745e808daec14c6b91f181"},"target_path":"locale/id/content/incompleteness/representability-in-q/sigma1-completeness.tex"},"number":"35.9","physical_page":628,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=628","section_title_id":"Kelengkapan Sigma-1","solution_state":"not_audited","source_problem_id":"c80:OLP-0300:problem:003","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0300"},{"chapter":"main:37","component":"main","id":"c80:OLP-0314:problem:001:main-fol","local_reader_url":"reader.pdf#page=652","mapping":{"canonical_section_label":"inc:inp:fix:sec","canonical_section_value":["37.2","535","Lema Titik Tetap","section*.4344",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=652","combined_page":652,"destination":"probd*.4421","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0314","observed_import_path":"content/incompleteness/incompleteness-provability/fixed-point-lemma.tex","occurrence_id":"c80:OLP-0314:problem:001:main-fol","printed_number":"37.1","source":{"block":{"bytes":233,"sha256":"7d676b30349c26951b2ed22bd4bc0c36cdac832f280c1b67eb2a64f183ed65d3"},"byte_end_exclusive":6175,"byte_start":5942,"end_line":138,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":134},"source_file":{"bytes":6195,"sha256":"d329f0cdc9aee3a35e49a487c9ee01fed67c4811ba6dc455a05646bc3a326dd3"},"source_occurrence_order":262,"source_path":"content/incompleteness/incompleteness-provability/fixed-point-lemma.tex","source_problem_id":"c80:OLP-0314:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":270,"sha256":"f6181b73597741af700cbbb55f211382087abdaae06fc6345376ca7e51d239bd"},"byte_end_exclusive":6521,"byte_start":6251,"end_line":138,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":133},"target_file":{"bytes":6538,"sha256":"138a5837409b73c8545bcb932a90d000e4d35a1b5ec9ad07734c9ff57c43afb9"},"target_path":"locale/id/content/incompleteness/incompleteness-provability/fixed-point-lemma.tex"},"number":"37.1","physical_page":652,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=652","section_title_id":"Lema Titik Tetap","solution_state":"not_audited","source_problem_id":"c80:OLP-0314:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0314"},{"chapter":"main:37","component":"main","id":"c80:OLP-0315:problem:001:main-fol","local_reader_url":"reader.pdf#page=653","mapping":{"canonical_section_label":"inc:inp:1in:sec","canonical_section_value":["37.3","537","Teorema Ketaklengkapan Pertama","section*.4350",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=653","combined_page":653,"destination":"probd*.4423","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0315","observed_import_path":"content/incompleteness/incompleteness-provability/first-incompleteness-thm.tex","occurrence_id":"c80:OLP-0315:problem:001:main-fol","printed_number":"37.2","source":{"block":{"bytes":289,"sha256":"50fcfb115741a7cf592ab9f46804794d72769ff9c08f34719049f4b6552b54ac"},"byte_end_exclusive":5228,"byte_start":4939,"end_line":112,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":107},"source_file":{"bytes":5764,"sha256":"eeedd9cfee28ead98ba638711d797b37b8a1069af1c2a5ffb6c1427572651114"},"source_occurrence_order":263,"source_path":"content/incompleteness/incompleteness-provability/first-incompleteness-thm.tex","source_problem_id":"c80:OLP-0315:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":314,"sha256":"e34f4aadf01ac1295178f07b9968ff33fe6ebcc0fa3cf57698b32187843d3630"},"byte_end_exclusive":5618,"byte_start":5304,"end_line":117,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":112},"target_file":{"bytes":6185,"sha256":"d13ffb0823291f04ccbf42c0c1a09d02786b4cbfedcdf1375928f43f5b1fd64d"},"target_path":"locale/id/content/incompleteness/incompleteness-provability/first-incompleteness-thm.tex"},"number":"37.2","physical_page":653,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=653","section_title_id":"Teorema Ketaklengkapan Pertama","solution_state":"not_audited","source_problem_id":"c80:OLP-0315:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0315"},{"chapter":"main:37","component":"main","id":"c80:OLP-0316:problem:001:main-fol","local_reader_url":"reader.pdf#page=653","mapping":{"canonical_section_label":"inc:inp:ros:sec","canonical_section_value":["37.4","538","Teorema Rosser","section*.4363",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=653","combined_page":653,"destination":"probd*.4425","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0316","observed_import_path":"content/incompleteness/incompleteness-provability/rosser-thm.tex","occurrence_id":"c80:OLP-0316:problem:001:main-fol","printed_number":"37.3","source":{"block":{"bytes":552,"sha256":"5b4c1066509f407d70ec983376d0a799a122da2e564d9efe4d0572af7d305a1c"},"byte_end_exclusive":6820,"byte_start":6268,"end_line":134,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":124},"source_file":{"bytes":6840,"sha256":"41f6fcc111f4df5f50827d2c5e46ffda33b3477a165915bd5b3c8122f0445dad"},"source_occurrence_order":264,"source_path":"content/incompleteness/incompleteness-provability/rosser-thm.tex","source_problem_id":"c80:OLP-0316:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":631,"sha256":"8c420c8a553d91b873500aa4fc9d797c78610752894be2c66b9cc35f629a3b9c"},"byte_end_exclusive":7353,"byte_start":6722,"end_line":152,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":141},"target_file":{"bytes":7370,"sha256":"2fa0f2dae95fda59164dcd3534a44a32502361e61e32aa5c83a3c9e07cdbed86"},"target_path":"locale/id/content/incompleteness/incompleteness-provability/rosser-thm.tex"},"number":"37.3","physical_page":653,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=653","section_title_id":"Teorema Rosser","solution_state":"not_audited","source_problem_id":"c80:OLP-0316:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0316"},{"chapter":"main:37","component":"main","id":"c80:OLP-0319:problem:001:main-fol","local_reader_url":"reader.pdf#page=653","mapping":{"canonical_section_label":"inc:inp:2in:sec","canonical_section_value":["37.7","541","Teorema Ketaklengkapan Kedua","section*.4370",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=653","combined_page":653,"destination":"probd*.4427","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0319","observed_import_path":"content/incompleteness/incompleteness-provability/second-incompleteness-thm.tex","occurrence_id":"c80:OLP-0319:problem:001:main-fol","printed_number":"37.4","source":{"block":{"bytes":93,"sha256":"36af65e8a44a65e87c76ec203094133124e5d21e9bdfe40d0068beefaa545f1e"},"byte_end_exclusive":4723,"byte_start":4630,"end_line":107,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":105},"source_file":{"bytes":5784,"sha256":"3ea221f4e1886b84738ce9a3268717630946305a41a6dfb8f74266d969f7a762"},"source_occurrence_order":265,"source_path":"content/incompleteness/incompleteness-provability/second-incompleteness-thm.tex","source_problem_id":"c80:OLP-0319:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":97,"sha256":"3afe70f0ef8ce289674acd00f6ad61510698a284d2208f9c0b512719fa3df785"},"byte_end_exclusive":4958,"byte_start":4861,"end_line":111,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":108},"target_file":{"bytes":6058,"sha256":"4d2d848c35ad05da6cce5359993b6692482196532f648fd2348746413bccfe00"},"target_path":"locale/id/content/incompleteness/incompleteness-provability/second-incompleteness-thm.tex"},"number":"37.4","physical_page":653,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=653","section_title_id":"Teorema Ketaklengkapan Kedua","solution_state":"not_audited","source_problem_id":"c80:OLP-0319:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0319"},{"chapter":"main:37","component":"main","id":"c80:OLP-0320:problem:001:main-fol","local_reader_url":"reader.pdf#page=653","mapping":{"canonical_section_label":"inc:inp:lob:sec","canonical_section_value":["37.8","543","Teorema L\\\"ob","section*.4384",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=653","combined_page":653,"destination":"probd*.4429","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0320","observed_import_path":"content/incompleteness/incompleteness-provability/lob-thm.tex","occurrence_id":"c80:OLP-0320:problem:001:main-fol","printed_number":"37.5","source":{"block":{"bytes":519,"sha256":"d8f049ad79a1a3b6d44749be3c1bafd84fbe38dad430cdc8dc25b5590a9512f3"},"byte_end_exclusive":7338,"byte_start":6819,"end_line":151,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":140},"source_file":{"bytes":7358,"sha256":"f9e81b079e6b7209d6d6dc94d2ab89273a16ff791a9c03e8a3104a1ce805125e"},"source_occurrence_order":266,"source_path":"content/incompleteness/incompleteness-provability/lob-thm.tex","source_problem_id":"c80:OLP-0320:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":535,"sha256":"68d1a211a327127172911612c43b66234971f405c8c46d41152165d848341f5c"},"byte_end_exclusive":7699,"byte_start":7164,"end_line":157,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":146},"target_file":{"bytes":7716,"sha256":"30f8892e9223af99c5e5874509bf8dd028ce38045c0bd68a4da8c8c8a281a7b3"},"target_path":"locale/id/content/incompleteness/incompleteness-provability/lob-thm.tex"},"number":"37.5","physical_page":653,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=653","section_title_id":"Teorema Löb","solution_state":"not_audited","source_problem_id":"c80:OLP-0320:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0320"},{"chapter":"main:37","component":"main","id":"c80:OLP-0321:problem:001:main-fol","local_reader_url":"reader.pdf#page=653","mapping":{"canonical_section_label":"inc:inp:tar:sec","canonical_section_value":["37.9","546","Ketakterdefinisian Kebenaran","section*.4407",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=653","combined_page":653,"destination":"probd*.4435","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0321","observed_import_path":"content/incompleteness/incompleteness-provability/tarski-thm.tex","occurrence_id":"c80:OLP-0321:problem:001:main-fol","printed_number":"37.6","source":{"block":{"bytes":123,"sha256":"b9cff3138179ad9a4f5d7ff75850d62474dc82ef9971a1b2dc4b7663bba6019b"},"byte_end_exclusive":2706,"byte_start":2583,"end_line":76,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":73},"source_file":{"bytes":4452,"sha256":"b83d5521afa3dd7e7c72318f242a6e78267addb406ccaa463c646b9cd5527dfd"},"source_occurrence_order":267,"source_path":"content/incompleteness/incompleteness-provability/tarski-thm.tex","source_problem_id":"c80:OLP-0321:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":134,"sha256":"88845906f8aa409228552f8f947ac1c764423f60bb420689362e77c212e534f2"},"byte_end_exclusive":2906,"byte_start":2772,"end_line":77,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":74},"target_file":{"bytes":4871,"sha256":"1b8f86c97a3af6126ffa19611e46398a338059bb92a74bee070f17eefc9e4ea9"},"target_path":"locale/id/content/incompleteness/incompleteness-provability/tarski-thm.tex"},"number":"37.6","physical_page":653,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=653","section_title_id":"Ketakterdefinisian Kebenaran","solution_state":"not_audited","source_problem_id":"c80:OLP-0321:problem:001","source_reuse_count":1,"topic":"incompleteness","unit_id":"OLP-0321"},{"chapter":"main:38","component":"main","id":"c80:OLP-0326:problem:001:main-fol","local_reader_url":"reader.pdf#page=665","mapping":{"canonical_section_label":"sol:syn:sat:sec","canonical_section_value":["38.3","553","Keterpenuhan","section*.4452",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=665","combined_page":665,"destination":"probd*.4500","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0326","observed_import_path":"content/second-order-logic/syntax-and-semantics/satisfaction.tex","occurrence_id":"c80:OLP-0326:problem:001:main-fol","printed_number":"38.1","source":{"block":{"bytes":424,"sha256":"9fc072affb31e556c9e4966c58c9b6ca31b03d28f2f88f93102e2ae98b94258d"},"byte_end_exclusive":8869,"byte_start":8445,"end_line":208,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":198},"source_file":{"bytes":8889,"sha256":"888d180bad24363cba4c5e08a0d00fbe06e004f11b1278072379532764145302"},"source_occurrence_order":268,"source_path":"content/second-order-logic/syntax-and-semantics/satisfaction.tex","source_problem_id":"c80:OLP-0326:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":472,"sha256":"04d7b3737ea01e7a6fd990ceae741751ecf1f39abdd38fe1afb387b047a99c29"},"byte_end_exclusive":9409,"byte_start":8937,"end_line":218,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":208},"target_file":{"bytes":9426,"sha256":"3abf4b09726b93ae362716312393905a5ea914fb1e34732deea27e4bf680de0c"},"target_path":"locale/id/content/second-order-logic/syntax-and-semantics/satisfaction.tex"},"number":"38.1","physical_page":665,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=665","section_title_id":"Keterpenuhan","solution_state":"not_audited","source_problem_id":"c80:OLP-0326:problem:001","source_reuse_count":1,"topic":"second-order-logic","unit_id":"OLP-0326"},{"chapter":"main:38","component":"main","id":"c80:OLP-0328:problem:001:main-fol","local_reader_url":"reader.pdf#page=665","mapping":{"canonical_section_label":"sol:syn:exp:sec","canonical_section_value":["38.5","555","Daya Ekspresif","section*.4484",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=665","combined_page":665,"destination":"probd*.4504","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0328","observed_import_path":"content/second-order-logic/syntax-and-semantics/expressive-power.tex","occurrence_id":"c80:OLP-0328:problem:001:main-fol","printed_number":"38.2","source":{"block":{"bytes":123,"sha256":"ebeffe2677445ac5b693ed6948496fe343b8e7ea2dbe787042cfc61b1ecf8a34"},"byte_end_exclusive":2737,"byte_start":2614,"end_line":62,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":59},"source_file":{"bytes":4197,"sha256":"012d62525a1dcefa38d5d70eb605f5d33e6ddff6b616ecb530beaa4aa3f42af2"},"source_occurrence_order":269,"source_path":"content/second-order-logic/syntax-and-semantics/expressive-power.tex","source_problem_id":"c80:OLP-0328:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":142,"sha256":"9b7c3247c686e1bcc96f2bc398bbc7cc657b70b49a4e4325873ca2a6794f1fd1"},"byte_end_exclusive":3171,"byte_start":3029,"end_line":65,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":62},"target_file":{"bytes":4770,"sha256":"f1aa526b03bb04bfe0406868d36e1206e1ab13d974bf4b278cb11d5d4d21ec5b"},"target_path":"locale/id/content/second-order-logic/syntax-and-semantics/expressive-power.tex"},"number":"38.2","physical_page":665,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=665","section_title_id":"Daya Ekspresif","solution_state":"not_audited","source_problem_id":"c80:OLP-0328:problem:001","source_reuse_count":1,"topic":"second-order-logic","unit_id":"OLP-0328"},{"chapter":"main:38","component":"main","id":"c80:OLP-0329:problem:001:main-fol","local_reader_url":"reader.pdf#page=665","mapping":{"canonical_section_label":"sol:syn:siz:sec","canonical_section_value":["38.6","556","Mendeskripsikan \\usetoken {P}{domain} Tak Hingga dan \\usetoken {S}{enumerable}","section*.4491",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=665","combined_page":665,"destination":"probd*.4506","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0329","observed_import_path":"content/second-order-logic/syntax-and-semantics/inf-count.tex","occurrence_id":"c80:OLP-0329:problem:001:main-fol","printed_number":"38.3","source":{"block":{"bytes":289,"sha256":"cb4aa4020f44a675a5409d442c0e75bad8259b19bbbeb994348070254c3ff40b"},"byte_end_exclusive":5606,"byte_start":5317,"end_line":130,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":125},"source_file":{"bytes":5628,"sha256":"05941ff3223be4d1e2085b995ead321b0ac32c4e70ea95a76a5cb2f48c5a526c"},"source_occurrence_order":270,"source_path":"content/second-order-logic/syntax-and-semantics/inf-count.tex","source_problem_id":"c80:OLP-0329:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":292,"sha256":"e882846ec76bf9a696d7247be0dffbd6d41cd7ec43a9b74b0ac46a610f049a9e"},"byte_end_exclusive":6381,"byte_start":6089,"end_line":139,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":134},"target_file":{"bytes":6398,"sha256":"99ecb7dc055b2f863d2cbe231ad7758a3d5966f623da20c27fbcadc95c57319f"},"target_path":"locale/id/content/second-order-logic/syntax-and-semantics/inf-count.tex"},"number":"38.3","physical_page":665,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=665","section_title_id":"Mendeskripsikan Domain Tak Hingga dan Terhitung","solution_state":"not_audited","source_problem_id":"c80:OLP-0329:problem:001","source_reuse_count":1,"topic":"second-order-logic","unit_id":"OLP-0329"},{"chapter":"main:39","component":"main","id":"c80:OLP-0332:problem:001:main-fol","local_reader_url":"reader.pdf#page=671","mapping":{"canonical_section_label":"sol:met:spa:sec","canonical_section_value":["39.2","560","Aritmetika Orde Kedua","section*.4509",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=671","combined_page":671,"destination":"probd*.4539","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0332","observed_import_path":"content/second-order-logic/metatheory/second-order-arithmetic.tex","occurrence_id":"c80:OLP-0332:problem:001:main-fol","printed_number":"39.1","source":{"block":{"bytes":93,"sha256":"6970807cb89cac5cc633577c6f0f0acd188f30285f9b7617dbfbe074fc228a4b"},"byte_end_exclusive":5286,"byte_start":5193,"end_line":130,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":128},"source_file":{"bytes":5306,"sha256":"98b9ea14e07c131a798a54d4bb78ac429c45a58c1e1f53b36b5e2176e9c90771"},"source_occurrence_order":271,"source_path":"content/second-order-logic/metatheory/second-order-arithmetic.tex","source_problem_id":"c80:OLP-0332:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":89,"sha256":"4c742044614d6411ed7dbee29db8e57ca3c4f39b0e54132d3a0d4032c5d43e44"},"byte_end_exclusive":5539,"byte_start":5450,"end_line":133,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":131},"target_file":{"bytes":5556,"sha256":"cd6af37adac9bee887a6a5e599c3a8bbaf769e3d82d31e2d9da69fd99c950b85"},"target_path":"locale/id/content/second-order-logic/metatheory/second-order-arithmetic.tex"},"number":"39.1","physical_page":671,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=671","section_title_id":"Aritmetika Orde Kedua","solution_state":"not_audited","source_problem_id":"c80:OLP-0332:problem:001","source_reuse_count":1,"topic":"second-order-logic","unit_id":"OLP-0332"},{"chapter":"main:39","component":"main","id":"c80:OLP-0334:problem:001:main-fol","local_reader_url":"reader.pdf#page=671","mapping":{"canonical_section_label":"sol:met:com:sec","canonical_section_value":["39.4","562","Logika Orde Kedua Tidak Kompak","section*.4526",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=671","combined_page":671,"destination":"probd*.4541","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0334","observed_import_path":"content/second-order-logic/metatheory/compactness.tex","occurrence_id":"c80:OLP-0334:problem:001:main-fol","printed_number":"39.2","source":{"block":{"bytes":195,"sha256":"2057aa88a14426f87428a46b292ef6c77a0b1db56019a63bec39190db3ad9fca"},"byte_end_exclusive":2455,"byte_start":2260,"end_line":68,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":64},"source_file":{"bytes":2477,"sha256":"3d6f37ee6ce0b5d5b37798be31a6d44ef95c5ca79a9660bdb4319e0a24d118db"},"source_occurrence_order":272,"source_path":"content/second-order-logic/metatheory/compactness.tex","source_problem_id":"c80:OLP-0334:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":235,"sha256":"1c58ec5af5a583c1dac15d5785587768740075ae39ba2e097b7da97ea7bc26a4"},"byte_end_exclusive":2701,"byte_start":2466,"end_line":69,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":65},"target_file":{"bytes":2719,"sha256":"20cb79cbdc6e2f170bcad24d15640d97fa69b324954365a5d55ef6c48833c0d6"},"target_path":"locale/id/content/second-order-logic/metatheory/compactness.tex"},"number":"39.2","physical_page":671,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=671","section_title_id":"Logika Orde Kedua Tidak Kompak","solution_state":"not_audited","source_problem_id":"c80:OLP-0334:problem:001","source_reuse_count":1,"topic":"second-order-logic","unit_id":"OLP-0334"},{"chapter":"main:42","component":"main","id":"c80:OLP-0357:problem:001:main-fol","local_reader_url":"reader.pdf#page=710","mapping":{"canonical_section_label":"lam:syn:trm:sec","canonical_section_value":["42.1","582","Suku","section*.4647",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","combined_page":710,"destination":"probd*.4842","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0357","observed_import_path":"content/lambda-calculus/syntax/terms.tex","occurrence_id":"c80:OLP-0357:problem:001:main-fol","printed_number":"42.1","source":{"block":{"bytes":116,"sha256":"01ec76be4bc4ca1915a934155c524aed03d15270b6d7d42102a712b19ae5f4c4"},"byte_end_exclusive":2005,"byte_start":1889,"end_line":50,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"source_file":{"bytes":2025,"sha256":"f7da91449121d3c5e274e51f6a08fce106d1dbacb7e5293b79cc09b3da019b38"},"source_occurrence_order":273,"source_path":"content/lambda-calculus/syntax/terms.tex","source_problem_id":"c80:OLP-0357:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":107,"sha256":"7f4ea30a041114195e59cb203b1579a1bd0fb38b0590e6d5ba0edcc6c30e535d"},"byte_end_exclusive":2074,"byte_start":1967,"end_line":51,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":48},"target_file":{"bytes":2091,"sha256":"74f816e7568811d7c04b65ab6dfad7c6656c2c4455e5f0f559af1704d9e31bd3"},"target_path":"locale/id/content/lambda-calculus/syntax/terms.tex"},"number":"42.1","physical_page":710,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","section_title_id":"Suku","solution_state":"not_audited","source_problem_id":"c80:OLP-0357:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0357"},{"chapter":"main:42","component":"main","id":"c80:OLP-0358:problem:001:main-fol","local_reader_url":"reader.pdf#page=710","mapping":{"canonical_section_label":"lam:syn:unq:sec","canonical_section_value":["42.2","582","Keterbacaan Unik","section*.4653",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","combined_page":710,"destination":"probd*.4844","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0358","observed_import_path":"content/lambda-calculus/syntax/unique-readability.tex","occurrence_id":"c80:OLP-0358:problem:001:main-fol","printed_number":"42.2","source":{"block":{"bytes":104,"sha256":"1ba734d64eb78c1b03d9320181856e3628aeafd73c1787ce723a8e7c42c46d24"},"byte_end_exclusive":1556,"byte_start":1452,"end_line":49,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":46},"source_file":{"bytes":3895,"sha256":"7cf0dbeb234ca9f4519bbf378aea91b6bd78795ae0db47c4ecb9682c36efff01"},"source_occurrence_order":274,"source_path":"content/lambda-calculus/syntax/unique-readability.tex","source_problem_id":"c80:OLP-0358:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":101,"sha256":"4eb94377f60f5a9d08115a3843723a42690a81103fa81d37b32988ff2cf16826"},"byte_end_exclusive":1607,"byte_start":1506,"end_line":48,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":46},"target_file":{"bytes":4027,"sha256":"93c917b8f12c2e1b44459e7e1511b71ec527f957b56ff3fff3d72e6254852643"},"target_path":"locale/id/content/lambda-calculus/syntax/unique-readability.tex"},"number":"42.2","physical_page":710,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","section_title_id":"Keterbacaan Unik","solution_state":"not_audited","source_problem_id":"c80:OLP-0358:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0358"},{"chapter":"main:42","component":"main","id":"c80:OLP-0359:problem:001:main-fol","local_reader_url":"reader.pdf#page=710","mapping":{"canonical_section_label":"lam:syn:abb:sec","canonical_section_value":["42.3","583","Sintaksis Singkat","section*.4673",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","combined_page":710,"destination":"probd*.4846","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0359","observed_import_path":"content/lambda-calculus/syntax/abbreviated-syntax.tex","occurrence_id":"c80:OLP-0359:problem:001:main-fol","printed_number":"42.3","source":{"block":{"bytes":110,"sha256":"4f40224a15818ffa2adce218afe9225c592c4fb6b41604aeb15c961ab00ef94e"},"byte_end_exclusive":1314,"byte_start":1204,"end_line":42,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":39},"source_file":{"bytes":1334,"sha256":"b9987c121bb971f20b15b2e4700b11b7f03ce17e854887de1de2a83c817f288f"},"source_occurrence_order":275,"source_path":"content/lambda-calculus/syntax/abbreviated-syntax.tex","source_problem_id":"c80:OLP-0359:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":121,"sha256":"3fff98797634c1f06939ec1e228977127f26e8f98a8e7c49bb668fba96223d3f"},"byte_end_exclusive":1413,"byte_start":1292,"end_line":43,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":40},"target_file":{"bytes":1430,"sha256":"287fc44e467b5e59a920f52a0b78a50763cd0f3d3ed40ae49c09d4ef026850ec"},"target_path":"locale/id/content/lambda-calculus/syntax/abbreviated-syntax.tex"},"number":"42.3","physical_page":710,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","section_title_id":"Sintaksis Singkat","solution_state":"not_audited","source_problem_id":"c80:OLP-0359:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0359"},{"chapter":"main:42","component":"main","id":"c80:OLP-0360:problem:001:main-fol","local_reader_url":"reader.pdf#page=710","mapping":{"canonical_section_label":"lam:syn:fv:sec","canonical_section_value":["42.4","584","Variabel Bebas","section*.4677",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","combined_page":710,"destination":"probd*.4848","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0360","observed_import_path":"content/lambda-calculus/syntax/free-variables.tex","occurrence_id":"c80:OLP-0360:problem:001:main-fol","printed_number":"42.4","source":{"block":{"bytes":440,"sha256":"4c26bbd37247c2703ceee7a60d4ba7c3398f515a70d49bd688ffaff29ee619ef"},"byte_end_exclusive":3157,"byte_start":2717,"end_line":73,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":64},"source_file":{"bytes":4698,"sha256":"b6f1fbf35150b62139dbaec9f0e48f5c8aa723f8fc84cfc1a0b3e620bcbbdd8e"},"source_occurrence_order":276,"source_path":"content/lambda-calculus/syntax/free-variables.tex","source_problem_id":"c80:OLP-0360:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":441,"sha256":"7be230c07feb0237d03927bffc314460029bc1fd313c5d8053b0a35cddee3733"},"byte_end_exclusive":3324,"byte_start":2883,"end_line":76,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":67},"target_file":{"bytes":4914,"sha256":"15f7c5c8dbd0d56ae9f9669edd3bdce5ec366a5e1f319b11757c0902bc21734d"},"target_path":"locale/id/content/lambda-calculus/syntax/free-variables.tex"},"number":"42.4","physical_page":710,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","section_title_id":"Variabel Bebas","solution_state":"not_audited","source_problem_id":"c80:OLP-0360:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0360"},{"chapter":"main:42","component":"main","id":"c80:OLP-0360:problem:002:main-fol","local_reader_url":"reader.pdf#page=710","mapping":{"canonical_section_label":"lam:syn:fv:sec","canonical_section_value":["42.4","584","Variabel Bebas","section*.4677",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","combined_page":710,"destination":"probd*.4853","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0360","observed_import_path":"content/lambda-calculus/syntax/free-variables.tex","occurrence_id":"c80:OLP-0360:problem:002:main-fol","printed_number":"42.5","source":{"block":{"bytes":63,"sha256":"973e235d1c0f53b3775a0cfd7b2cee4820d90128545f9c46e8788ba5809295ed"},"byte_end_exclusive":4678,"byte_start":4615,"end_line":114,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":112},"source_file":{"bytes":4698,"sha256":"b6f1fbf35150b62139dbaec9f0e48f5c8aa723f8fc84cfc1a0b3e620bcbbdd8e"},"source_occurrence_order":277,"source_path":"content/lambda-calculus/syntax/free-variables.tex","source_problem_id":"c80:OLP-0360:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":64,"sha256":"b2aa4efaabdbc0602c7196555f62c6abf361b9911aaa2488d7ba2c3f9a89b9f5"},"byte_end_exclusive":4897,"byte_start":4833,"end_line":116,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":114},"target_file":{"bytes":4914,"sha256":"15f7c5c8dbd0d56ae9f9669edd3bdce5ec366a5e1f319b11757c0902bc21734d"},"target_path":"locale/id/content/lambda-calculus/syntax/free-variables.tex"},"number":"42.5","physical_page":710,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","section_title_id":"Variabel Bebas","solution_state":"not_audited","source_problem_id":"c80:OLP-0360:problem:002","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0360"},{"chapter":"main:42","component":"main","id":"c80:OLP-0361:problem:001:main-fol","local_reader_url":"reader.pdf#page=710","mapping":{"canonical_section_label":"lam:syn:sub:sec","canonical_section_value":["42.5","585","Substitusi","section*.4696",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","combined_page":710,"destination":"probd*.4855","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0361","observed_import_path":"content/lambda-calculus/syntax/substitution.tex","occurrence_id":"c80:OLP-0361:problem:001:main-fol","printed_number":"42.6","source":{"block":{"bytes":297,"sha256":"feca3653e23e219bac67e151b480b6484cd9b7b3b001c1c0ed70a5c3c3909ee4"},"byte_end_exclusive":2600,"byte_start":2303,"end_line":61,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":54},"source_file":{"bytes":6578,"sha256":"d718cdebd5f5b3b43e4bbb33a167d89458a9b2e378cda57300c1a24df6e7e9bd"},"source_occurrence_order":278,"source_path":"content/lambda-calculus/syntax/substitution.tex","source_problem_id":"c80:OLP-0361:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":283,"sha256":"5464109cbb646915f41993f83a0c47f49e8dd8a632063d45e6b6c272b60b490f"},"byte_end_exclusive":2738,"byte_start":2455,"end_line":63,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":56},"target_file":{"bytes":6782,"sha256":"f3effcd8f23fe5025fff2539b512060b08c01e1ef0c673c73fb3d0039c3d6b8b"},"target_path":"locale/id/content/lambda-calculus/syntax/substitution.tex"},"number":"42.6","physical_page":710,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","section_title_id":"Substitusi","solution_state":"not_audited","source_problem_id":"c80:OLP-0361:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0361"},{"chapter":"main:42","component":"main","id":"c80:OLP-0361:problem:002:main-fol","local_reader_url":"reader.pdf#page=710","mapping":{"canonical_section_label":"lam:syn:sub:sec","canonical_section_value":["42.5","585","Substitusi","section*.4696",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","combined_page":710,"destination":"probd*.4860","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0361","observed_import_path":"content/lambda-calculus/syntax/substitution.tex","occurrence_id":"c80:OLP-0361:problem:002:main-fol","printed_number":"42.7","source":{"block":{"bytes":85,"sha256":"224f9c4e8169e020e185b173e00b045487559580d3528853f99524f917b8a1f2"},"byte_end_exclusive":3753,"byte_start":3668,"end_line":93,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":91},"source_file":{"bytes":6578,"sha256":"d718cdebd5f5b3b43e4bbb33a167d89458a9b2e378cda57300c1a24df6e7e9bd"},"source_occurrence_order":279,"source_path":"content/lambda-calculus/syntax/substitution.tex","source_problem_id":"c80:OLP-0361:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":81,"sha256":"5a10896e42dec80f3f01bf3ae77ca7fa800d4c5bd1c0eabc7b5f04a649045b0a"},"byte_end_exclusive":3910,"byte_start":3829,"end_line":97,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":95},"target_file":{"bytes":6782,"sha256":"f3effcd8f23fe5025fff2539b512060b08c01e1ef0c673c73fb3d0039c3d6b8b"},"target_path":"locale/id/content/lambda-calculus/syntax/substitution.tex"},"number":"42.7","physical_page":710,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","section_title_id":"Substitusi","solution_state":"not_audited","source_problem_id":"c80:OLP-0361:problem:002","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0361"},{"chapter":"main:42","component":"main","id":"c80:OLP-0361:problem:003:main-fol","local_reader_url":"reader.pdf#page=710","mapping":{"canonical_section_label":"lam:syn:sub:sec","canonical_section_value":["42.5","585","Substitusi","section*.4696",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","combined_page":710,"destination":"probd*.4862","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0361","observed_import_path":"content/lambda-calculus/syntax/substitution.tex","occurrence_id":"c80:OLP-0361:problem:003:main-fol","printed_number":"42.8","source":{"block":{"bytes":82,"sha256":"43dc5d34fb826483fa48e51e2a2b7fadc16e1474b3b2115340a8d0a5a7541e1a"},"byte_end_exclusive":5225,"byte_start":5143,"end_line":131,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":129},"source_file":{"bytes":6578,"sha256":"d718cdebd5f5b3b43e4bbb33a167d89458a9b2e378cda57300c1a24df6e7e9bd"},"source_occurrence_order":280,"source_path":"content/lambda-calculus/syntax/substitution.tex","source_problem_id":"c80:OLP-0361:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":78,"sha256":"23a8fc8426d47d62de00eb1d9a83287620d4b2c0c13492b89853883436138281"},"byte_end_exclusive":5424,"byte_start":5346,"end_line":135,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":133},"target_file":{"bytes":6782,"sha256":"f3effcd8f23fe5025fff2539b512060b08c01e1ef0c673c73fb3d0039c3d6b8b"},"target_path":"locale/id/content/lambda-calculus/syntax/substitution.tex"},"number":"42.8","physical_page":710,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","section_title_id":"Substitusi","solution_state":"not_audited","source_problem_id":"c80:OLP-0361:problem:003","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0361"},{"chapter":"main:42","component":"main","id":"c80:OLP-0361:problem:004:main-fol","local_reader_url":"reader.pdf#page=710","mapping":{"canonical_section_label":"lam:syn:sub:sec","canonical_section_value":["42.5","585","Substitusi","section*.4696",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","combined_page":710,"destination":"probd*.4864","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0361","observed_import_path":"content/lambda-calculus/syntax/substitution.tex","occurrence_id":"c80:OLP-0361:problem:004:main-fol","printed_number":"42.9","source":{"block":{"bytes":65,"sha256":"7ad5aaffde716a11a82a667684b2eb11d1d208d3801165b09a473a3ea4256dba"},"byte_end_exclusive":5476,"byte_start":5411,"end_line":144,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":142},"source_file":{"bytes":6578,"sha256":"d718cdebd5f5b3b43e4bbb33a167d89458a9b2e378cda57300c1a24df6e7e9bd"},"source_occurrence_order":281,"source_path":"content/lambda-calculus/syntax/substitution.tex","source_problem_id":"c80:OLP-0361:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":66,"sha256":"222437152e0ce8f7b37fd42e97354feffcb4732428cd563960229bc07cbd213c"},"byte_end_exclusive":5665,"byte_start":5599,"end_line":148,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":146},"target_file":{"bytes":6782,"sha256":"f3effcd8f23fe5025fff2539b512060b08c01e1ef0c673c73fb3d0039c3d6b8b"},"target_path":"locale/id/content/lambda-calculus/syntax/substitution.tex"},"number":"42.9","physical_page":710,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=710","section_title_id":"Substitusi","solution_state":"not_audited","source_problem_id":"c80:OLP-0361:problem:004","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0361"},{"chapter":"main:42","component":"main","id":"c80:OLP-0361:problem:005:main-fol","local_reader_url":"reader.pdf#page=711","mapping":{"canonical_section_label":"lam:syn:sub:sec","canonical_section_value":["42.5","585","Substitusi","section*.4696",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","combined_page":711,"destination":"probd*.4866","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0361","observed_import_path":"content/lambda-calculus/syntax/substitution.tex","occurrence_id":"c80:OLP-0361:problem:005:main-fol","printed_number":"42.10","source":{"block":{"bytes":81,"sha256":"e7d82c29a893c16f639e1689ba1b33d5ad54596575b30ba8d5c08f4552c116b2"},"byte_end_exclusive":6558,"byte_start":6477,"end_line":177,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":175},"source_file":{"bytes":6578,"sha256":"d718cdebd5f5b3b43e4bbb33a167d89458a9b2e378cda57300c1a24df6e7e9bd"},"source_occurrence_order":282,"source_path":"content/lambda-calculus/syntax/substitution.tex","source_problem_id":"c80:OLP-0361:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":77,"sha256":"73465a9097bb7e6a41dd584c572f7bc238c07a9e14edec1bed250f8b136cea5d"},"byte_end_exclusive":6765,"byte_start":6688,"end_line":181,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":179},"target_file":{"bytes":6782,"sha256":"f3effcd8f23fe5025fff2539b512060b08c01e1ef0c673c73fb3d0039c3d6b8b"},"target_path":"locale/id/content/lambda-calculus/syntax/substitution.tex"},"number":"42.10","physical_page":711,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","section_title_id":"Substitusi","solution_state":"not_audited","source_problem_id":"c80:OLP-0361:problem:005","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0361"},{"chapter":"main:42","component":"main","id":"c80:OLP-0362:problem:001:main-fol","local_reader_url":"reader.pdf#page=711","mapping":{"canonical_section_label":"lam:syn:alp:sec","canonical_section_value":["42.6","587","Konversi-$\\alpha $","section*.4724",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","combined_page":711,"destination":"probd*.4868","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0362","observed_import_path":"content/lambda-calculus/syntax/alpha.tex","occurrence_id":"c80:OLP-0362:problem:001:main-fol","printed_number":"42.11","source":{"block":{"bytes":317,"sha256":"18b89758982a3af9272ba05fc43130701a379a45c3da56d0d33bedcc3d92f533"},"byte_end_exclusive":4294,"byte_start":3977,"end_line":110,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":103},"source_file":{"bytes":10414,"sha256":"41c0f51cf8b5b3f125aa23b0e5590cd339e9dd69bc0f1877e165b07782b2c664"},"source_occurrence_order":283,"source_path":"content/lambda-calculus/syntax/alpha.tex","source_problem_id":"c80:OLP-0362:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":320,"sha256":"f5d66bb50428683685d850bdc33b184da33c0abc91d0648866de76cf0bb26faa"},"byte_end_exclusive":4518,"byte_start":4198,"end_line":113,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":106},"target_file":{"bytes":10948,"sha256":"b60ccfa45c5c2bf836d2bd3a381fc5ddd76ef8926e50b02ff25abe470ae7a169"},"target_path":"locale/id/content/lambda-calculus/syntax/alpha.tex"},"number":"42.11","physical_page":711,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","section_title_id":"Konversi-","solution_state":"not_audited","source_problem_id":"c80:OLP-0362:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0362"},{"chapter":"main:42","component":"main","id":"c80:OLP-0362:problem:002:main-fol","local_reader_url":"reader.pdf#page=711","mapping":{"canonical_section_label":"lam:syn:alp:sec","canonical_section_value":["42.6","587","Konversi-$\\alpha $","section*.4724",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","combined_page":711,"destination":"probd*.4873","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0362","observed_import_path":"content/lambda-calculus/syntax/alpha.tex","occurrence_id":"c80:OLP-0362:problem:002:main-fol","printed_number":"42.12","source":{"block":{"bytes":84,"sha256":"71bd84b0d5d17c0f92b2ed633429cbdd4c24edef1b22695cb3a688dd797c3fe9"},"byte_end_exclusive":5635,"byte_start":5551,"end_line":149,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":147},"source_file":{"bytes":10414,"sha256":"41c0f51cf8b5b3f125aa23b0e5590cd339e9dd69bc0f1877e165b07782b2c664"},"source_occurrence_order":284,"source_path":"content/lambda-calculus/syntax/alpha.tex","source_problem_id":"c80:OLP-0362:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":80,"sha256":"4d1a7e503f9759f66cc497efaaff1c91299774dabb2a4f620f51f30956423ba3"},"byte_end_exclusive":5840,"byte_start":5760,"end_line":152,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":150},"target_file":{"bytes":10948,"sha256":"b60ccfa45c5c2bf836d2bd3a381fc5ddd76ef8926e50b02ff25abe470ae7a169"},"target_path":"locale/id/content/lambda-calculus/syntax/alpha.tex"},"number":"42.12","physical_page":711,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","section_title_id":"Konversi-","solution_state":"not_audited","source_problem_id":"c80:OLP-0362:problem:002","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0362"},{"chapter":"main:42","component":"main","id":"c80:OLP-0362:problem:003:main-fol","local_reader_url":"reader.pdf#page=711","mapping":{"canonical_section_label":"lam:syn:alp:sec","canonical_section_value":["42.6","587","Konversi-$\\alpha $","section*.4724",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","combined_page":711,"destination":"probd*.4875","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0362","observed_import_path":"content/lambda-calculus/syntax/alpha.tex","occurrence_id":"c80:OLP-0362:problem:003:main-fol","printed_number":"42.13","source":{"block":{"bytes":80,"sha256":"a9cb0db746257490c3afafb1b081cf276e5a3d401e4fb7ef439196e9b7ca3b01"},"byte_end_exclusive":6506,"byte_start":6426,"end_line":173,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":171},"source_file":{"bytes":10414,"sha256":"41c0f51cf8b5b3f125aa23b0e5590cd339e9dd69bc0f1877e165b07782b2c664"},"source_occurrence_order":285,"source_path":"content/lambda-calculus/syntax/alpha.tex","source_problem_id":"c80:OLP-0362:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":77,"sha256":"a6283f987128d33331dfabe1ea85525a644914c2a6f8eee76d892e335183c1a3"},"byte_end_exclusive":6723,"byte_start":6646,"end_line":176,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":174},"target_file":{"bytes":10948,"sha256":"b60ccfa45c5c2bf836d2bd3a381fc5ddd76ef8926e50b02ff25abe470ae7a169"},"target_path":"locale/id/content/lambda-calculus/syntax/alpha.tex"},"number":"42.13","physical_page":711,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","section_title_id":"Konversi-","solution_state":"not_audited","source_problem_id":"c80:OLP-0362:problem:003","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0362"},{"chapter":"main:42","component":"main","id":"c80:OLP-0362:problem:004:main-fol","local_reader_url":"reader.pdf#page=711","mapping":{"canonical_section_label":"lam:syn:alp:sec","canonical_section_value":["42.6","587","Konversi-$\\alpha $","section*.4724",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","combined_page":711,"destination":"probd*.4877","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0362","observed_import_path":"content/lambda-calculus/syntax/alpha.tex","occurrence_id":"c80:OLP-0362:problem:004:main-fol","printed_number":"42.14","source":{"block":{"bytes":67,"sha256":"0f09fec1859a6dc6fc2b80118aaf4d691f86a4af26a30be98152871121424052"},"byte_end_exclusive":7888,"byte_start":7821,"end_line":218,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":216},"source_file":{"bytes":10414,"sha256":"41c0f51cf8b5b3f125aa23b0e5590cd339e9dd69bc0f1877e165b07782b2c664"},"source_occurrence_order":286,"source_path":"content/lambda-calculus/syntax/alpha.tex","source_problem_id":"c80:OLP-0362:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":68,"sha256":"9284978cdd0e09037802e646005a5ebae6501cd9b0689dc18d78a54ca23a2044"},"byte_end_exclusive":8275,"byte_start":8207,"end_line":223,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":221},"target_file":{"bytes":10948,"sha256":"b60ccfa45c5c2bf836d2bd3a381fc5ddd76ef8926e50b02ff25abe470ae7a169"},"target_path":"locale/id/content/lambda-calculus/syntax/alpha.tex"},"number":"42.14","physical_page":711,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","section_title_id":"Konversi-","solution_state":"not_audited","source_problem_id":"c80:OLP-0362:problem:004","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0362"},{"chapter":"main:42","component":"main","id":"c80:OLP-0362:problem:005:main-fol","local_reader_url":"reader.pdf#page=711","mapping":{"canonical_section_label":"lam:syn:alp:sec","canonical_section_value":["42.6","587","Konversi-$\\alpha $","section*.4724",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","combined_page":711,"destination":"probd*.4879","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0362","observed_import_path":"content/lambda-calculus/syntax/alpha.tex","occurrence_id":"c80:OLP-0362:problem:005:main-fol","printed_number":"42.15","source":{"block":{"bytes":81,"sha256":"18ca0e6af7d10488399624ffa0888cad83db8c4795d5dc5e53c26a8fa1316129"},"byte_end_exclusive":9991,"byte_start":9910,"end_line":268,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":266},"source_file":{"bytes":10414,"sha256":"41c0f51cf8b5b3f125aa23b0e5590cd339e9dd69bc0f1877e165b07782b2c664"},"source_occurrence_order":287,"source_path":"content/lambda-calculus/syntax/alpha.tex","source_problem_id":"c80:OLP-0362:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":77,"sha256":"2d0018910771dd0a75f2c8e602b2cd6a7ff90cd7011ed241f7ecfcf51b4d6b96"},"byte_end_exclusive":10507,"byte_start":10430,"end_line":275,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":273},"target_file":{"bytes":10948,"sha256":"b60ccfa45c5c2bf836d2bd3a381fc5ddd76ef8926e50b02ff25abe470ae7a169"},"target_path":"locale/id/content/lambda-calculus/syntax/alpha.tex"},"number":"42.15","physical_page":711,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","section_title_id":"Konversi-","solution_state":"not_audited","source_problem_id":"c80:OLP-0362:problem:005","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0362"},{"chapter":"main:42","component":"main","id":"c80:OLP-0365:problem:001:main-fol","local_reader_url":"reader.pdf#page=711","mapping":{"canonical_section_label":"lam:int:bet:sec","canonical_section_value":["42.9","593","Reduksi-$\\beta $","section*.4806",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","combined_page":711,"destination":"probd*.4881","exact_problem_labels":["lam:int:bet:prob:def"],"fol_context":true,"native_unit_id":"OLP-0365","observed_import_path":"content/lambda-calculus/syntax/beta.tex","occurrence_id":"c80:OLP-0365:problem:001:main-fol","printed_number":"42.16","source":{"block":{"bytes":199,"sha256":"16472d6c259095ea61cef5b48985ff0b33c9f8fa740c667b9c54c1e85c721f64"},"byte_end_exclusive":1100,"byte_start":901,"end_line":30,"environment":"prob","environments":[],"labels":["prob:def"],"literal_labels":[],"ordinal":1,"start_line":27},"source_file":{"bytes":4912,"sha256":"c96b738bedb1278e240742f504f23e84bc65a485a628e513b542038791f29328"},"source_occurrence_order":288,"source_path":"content/lambda-calculus/syntax/beta.tex","source_problem_id":"c80:OLP-0365:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":232,"sha256":"aceb51db016975c443cc830a161def33a06ebca3fea68b2f2b0744ef8cb12580"},"byte_end_exclusive":1121,"byte_start":889,"end_line":31,"environment":"prob","environments":[],"labels":["prob:def"],"literal_labels":[],"ordinal":1,"start_line":27},"target_file":{"bytes":5204,"sha256":"0a82e60579ff07d359d08e4024ddc6ad290eadcca6b92b2ac104222ab90550b9"},"target_path":"locale/id/content/lambda-calculus/syntax/beta.tex"},"number":"42.16","physical_page":711,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=711","section_title_id":"Reduksi-","solution_state":"not_audited","source_problem_id":"c80:OLP-0365:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0365"},{"chapter":"main:43","component":"main","id":"c80:OLP-0369:problem:001:main-fol","local_reader_url":"reader.pdf#page=719","mapping":{"canonical_section_label":"lam:cr:pb:sec","canonical_section_value":["43.2","598","Reduksi-$\\beta $ Paralel","section*.4889",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=719","combined_page":719,"destination":"probd*.4983","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0369","observed_import_path":"content/lambda-calculus/church-rosser/parallel-beta-reduction.tex","occurrence_id":"c80:OLP-0369:problem:001:main-fol","printed_number":"43.1","source":{"block":{"bytes":64,"sha256":"d110f5b2cfc20c55d5d48692d40a60725569ca6b4c94e2ce8822793f965a1114"},"byte_end_exclusive":1747,"byte_start":1683,"end_line":49,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"source_file":{"bytes":6347,"sha256":"152950cfbf2a17ef827a7e70210ef025d99e347eadcfb6c5c9a405e2bf1e6210"},"source_occurrence_order":289,"source_path":"content/lambda-calculus/church-rosser/parallel-beta-reduction.tex","source_problem_id":"c80:OLP-0369:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":65,"sha256":"c4b89796d2fdbec7ad8dc3586102a05aafcaee23cc6457c346b808fcb41443ea"},"byte_end_exclusive":1815,"byte_start":1750,"end_line":50,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":48},"target_file":{"bytes":6428,"sha256":"899300babdf7060ccf15278055b6d3db26966a3fd558b501535de452bec49603"},"target_path":"locale/id/content/lambda-calculus/church-rosser/parallel-beta-reduction.tex"},"number":"43.1","physical_page":719,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=719","section_title_id":"Reduksi- Paralel","solution_state":"not_audited","source_problem_id":"c80:OLP-0369:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0369"},{"chapter":"main:43","component":"main","id":"c80:OLP-0369:problem:002:main-fol","local_reader_url":"reader.pdf#page=719","mapping":{"canonical_section_label":"lam:cr:pb:sec","canonical_section_value":["43.2","598","Reduksi-$\\beta $ Paralel","section*.4889",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=719","combined_page":719,"destination":"probd*.4985","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0369","observed_import_path":"content/lambda-calculus/church-rosser/parallel-beta-reduction.tex","occurrence_id":"c80:OLP-0369:problem:002:main-fol","printed_number":"43.2","source":{"block":{"bytes":80,"sha256":"02f8a21cecf4c15586a896ad9e5706ec255247deb55198b60f5837986028d433"},"byte_end_exclusive":4125,"byte_start":4045,"end_line":104,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":102},"source_file":{"bytes":6347,"sha256":"152950cfbf2a17ef827a7e70210ef025d99e347eadcfb6c5c9a405e2bf1e6210"},"source_occurrence_order":290,"source_path":"content/lambda-calculus/church-rosser/parallel-beta-reduction.tex","source_problem_id":"c80:OLP-0369:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":76,"sha256":"b1bf858f064f97de90e2ef44c528876343f64f1b5aa222d46d7e30a004354e64"},"byte_end_exclusive":4188,"byte_start":4112,"end_line":107,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":105},"target_file":{"bytes":6428,"sha256":"899300babdf7060ccf15278055b6d3db26966a3fd558b501535de452bec49603"},"target_path":"locale/id/content/lambda-calculus/church-rosser/parallel-beta-reduction.tex"},"number":"43.2","physical_page":719,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=719","section_title_id":"Reduksi- Paralel","solution_state":"not_audited","source_problem_id":"c80:OLP-0369:problem:002","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0369"},{"chapter":"main:43","component":"main","id":"c80:OLP-0369:problem:003:main-fol","local_reader_url":"reader.pdf#page=719","mapping":{"canonical_section_label":"lam:cr:pb:sec","canonical_section_value":["43.2","598","Reduksi-$\\beta $ Paralel","section*.4889",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=719","combined_page":719,"destination":"probd*.4987","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0369","observed_import_path":"content/lambda-calculus/church-rosser/parallel-beta-reduction.tex","occurrence_id":"c80:OLP-0369:problem:003:main-fol","printed_number":"43.3","source":{"block":{"bytes":80,"sha256":"5e7ea96e017a6435d27b4db61f321bf005ad695bf9484ca71540f15494f79843"},"byte_end_exclusive":6170,"byte_start":6090,"end_line":145,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":143},"source_file":{"bytes":6347,"sha256":"152950cfbf2a17ef827a7e70210ef025d99e347eadcfb6c5c9a405e2bf1e6210"},"source_occurrence_order":291,"source_path":"content/lambda-calculus/church-rosser/parallel-beta-reduction.tex","source_problem_id":"c80:OLP-0369:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":76,"sha256":"c25716ac5369fe107b266d2d846ea6802fec66073992ecf40c67e0b87a5733d2"},"byte_end_exclusive":6266,"byte_start":6190,"end_line":152,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":150},"target_file":{"bytes":6428,"sha256":"899300babdf7060ccf15278055b6d3db26966a3fd558b501535de452bec49603"},"target_path":"locale/id/content/lambda-calculus/church-rosser/parallel-beta-reduction.tex"},"number":"43.3","physical_page":719,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=719","section_title_id":"Reduksi- Paralel","solution_state":"not_audited","source_problem_id":"c80:OLP-0369:problem:003","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0369"},{"chapter":"main:43","component":"main","id":"c80:OLP-0371:problem:001:main-fol","local_reader_url":"reader.pdf#page=719","mapping":{"canonical_section_label":"lam:cr:pbe:sec","canonical_section_value":["43.4","601","Reduksi-$\\beta \\eta $ Paralel","section*.4941",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=719","combined_page":719,"destination":"probd*.4989","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0371","observed_import_path":"content/lambda-calculus/church-rosser/parallel-beta-eta-reduction.tex","occurrence_id":"c80:OLP-0371:problem:001:main-fol","printed_number":"43.4","source":{"block":{"bytes":65,"sha256":"7399617a7f6ec984a5c84ca10086c6b7398dacbaaca97e335ed058aa705d6680"},"byte_end_exclusive":1368,"byte_start":1303,"end_line":43,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":41},"source_file":{"bytes":3512,"sha256":"c1f77ddcdbbbd3070000c2ab163db1a427369bc88bbb57f129e2577a0c12696a"},"source_occurrence_order":292,"source_path":"content/lambda-calculus/church-rosser/parallel-beta-eta-reduction.tex","source_problem_id":"c80:OLP-0371:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":66,"sha256":"ff5d5e2399fd9da1f4139782811defdb8cacfd7d5bb1039730680afc45b0b02a"},"byte_end_exclusive":1336,"byte_start":1270,"end_line":43,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":41},"target_file":{"bytes":3399,"sha256":"a0c93a9a258685cb2326d9362de25adfb6e3720e57f66a6031bee586ffebd7bc"},"target_path":"locale/id/content/lambda-calculus/church-rosser/parallel-beta-eta-reduction.tex"},"number":"43.4","physical_page":719,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=719","section_title_id":"Reduksi- Paralel","solution_state":"not_audited","source_problem_id":"c80:OLP-0371:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0371"},{"chapter":"main:44","component":"main","id":"c80:OLP-0375:problem:001:main-fol","local_reader_url":"reader.pdf#page=734","mapping":{"canonical_section_label":"lam:rep:arf:sec","canonical_section_value":["44.2","605","Fungsi Aritmetika yang \\usetoken {S}{lambda definable}","section*.4996",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=734","combined_page":734,"destination":"probd*.5049","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0375","observed_import_path":"content/lambda-calculus/lambda-definability/arithmetical-functions.tex","occurrence_id":"c80:OLP-0375:problem:001:main-fol","printed_number":"44.1","source":{"block":{"bytes":192,"sha256":"3d2dc781f01425cde01c25c37e8be40b5156f43f1f02864ae7ef18e5c551f7c4"},"byte_end_exclusive":2013,"byte_start":1821,"end_line":54,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":48},"source_file":{"bytes":5131,"sha256":"1e7500fb862e562250b59df5e786130148b9565564417d060138f0542141fe2e"},"source_occurrence_order":293,"source_path":"content/lambda-calculus/lambda-definability/arithmetical-functions.tex","source_problem_id":"c80:OLP-0375:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":187,"sha256":"725be185dc04bc8b808317200b918f1fe04c0a6939cae26bf8a1455a6058d644"},"byte_end_exclusive":2068,"byte_start":1881,"end_line":56,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":50},"target_file":{"bytes":5380,"sha256":"fd50c02f5378f6911039f14ef667ae557f103a853e9acc02a1b84a983994b4b6"},"target_path":"locale/id/content/lambda-calculus/lambda-definability/arithmetical-functions.tex"},"number":"44.1","physical_page":734,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=734","section_title_id":"Fungsi Aritmetika yang Dapat didefinisikan secara ","solution_state":"not_audited","source_problem_id":"c80:OLP-0375:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0375"},{"chapter":"main:44","component":"main","id":"c80:OLP-0375:problem:002:main-fol","local_reader_url":"reader.pdf#page=734","mapping":{"canonical_section_label":"lam:rep:arf:sec","canonical_section_value":["44.2","605","Fungsi Aritmetika yang \\usetoken {S}{lambda definable}","section*.4996",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=734","combined_page":734,"destination":"probd*.5051","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0375","observed_import_path":"content/lambda-calculus/lambda-definability/arithmetical-functions.tex","occurrence_id":"c80:OLP-0375:problem:002:main-fol","printed_number":"44.2","source":{"block":{"bytes":170,"sha256":"9cbd68946ddefde418139d3307972309bb9be06bb563660770e037e297117c15"},"byte_end_exclusive":4569,"byte_start":4399,"end_line":123,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":117},"source_file":{"bytes":5131,"sha256":"1e7500fb862e562250b59df5e786130148b9565564417d060138f0542141fe2e"},"source_occurrence_order":294,"source_path":"content/lambda-calculus/lambda-definability/arithmetical-functions.tex","source_problem_id":"c80:OLP-0375:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":168,"sha256":"7a28f0720ba0cef7e4ff29bb831fa6aa90d35207201e006238313ee03250738a"},"byte_end_exclusive":4803,"byte_start":4635,"end_line":128,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":122},"target_file":{"bytes":5380,"sha256":"fd50c02f5378f6911039f14ef667ae557f103a853e9acc02a1b84a983994b4b6"},"target_path":"locale/id/content/lambda-calculus/lambda-definability/arithmetical-functions.tex"},"number":"44.2","physical_page":734,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=734","section_title_id":"Fungsi Aritmetika yang Dapat didefinisikan secara ","solution_state":"not_audited","source_problem_id":"c80:OLP-0375:problem:002","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0375"},{"chapter":"main:44","component":"main","id":"c80:OLP-0376:problem:001:main-fol","local_reader_url":"reader.pdf#page=734","mapping":{"canonical_section_label":"lam:ldf:pai:sec","canonical_section_value":["44.3","607","Pasangan dan Pendahulu","section*.5008",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=734","combined_page":734,"destination":"probd*.5053","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0376","observed_import_path":"content/lambda-calculus/lambda-definability/pairs.tex","occurrence_id":"c80:OLP-0376:problem:001:main-fol","printed_number":"44.3","source":{"block":{"bytes":92,"sha256":"a5f49e878a825dc8af2900e6697344b18cc8958e1438a3f863432f9024ef8ff0"},"byte_end_exclusive":1046,"byte_start":954,"end_line":36,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":34},"source_file":{"bytes":1799,"sha256":"9832c9a0d78ac0dc04080fcf7613d117c29a21fe27e51c3bb7f1e6a29c69efdf"},"source_occurrence_order":295,"source_path":"content/lambda-calculus/lambda-definability/pairs.tex","source_problem_id":"c80:OLP-0376:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":94,"sha256":"25dee41cd15507779fd01d333ce6b5d483075387910e94cd6810a15198768381"},"byte_end_exclusive":1134,"byte_start":1040,"end_line":37,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":35},"target_file":{"bytes":1955,"sha256":"8058b7dc72ad7ab862020fd6aa0ea4fb99002b38f83048e411bf74c37006d4e5"},"target_path":"locale/id/content/lambda-calculus/lambda-definability/pairs.tex"},"number":"44.3","physical_page":734,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=734","section_title_id":"Pasangan dan Pendahulu","solution_state":"not_audited","source_problem_id":"c80:OLP-0376:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0376"},{"chapter":"main:44","component":"main","id":"c80:OLP-0377:problem:001:main-fol","local_reader_url":"reader.pdf#page=734","mapping":{"canonical_section_label":"lam:ldf:tvr:sec","canonical_section_value":["44.4","608","Nilai Kebenaran dan Relasi","section*.5011",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=734","combined_page":734,"destination":"probd*.5055","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0377","observed_import_path":"content/lambda-calculus/lambda-definability/truth-values.tex","occurrence_id":"c80:OLP-0377:problem:001:main-fol","printed_number":"44.4","source":{"block":{"bytes":205,"sha256":"9ee07f75c7b726463c30524d7b5f53c1c77717bd361c350bcfdd5dcb055cbb21"},"byte_end_exclusive":3228,"byte_start":3023,"end_line":76,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":72},"source_file":{"bytes":3248,"sha256":"2bde4662af2aefb9be953d1f7abf5e1af20dd022705ecf28f33aa86866c8d8f0"},"source_occurrence_order":296,"source_path":"content/lambda-calculus/lambda-definability/truth-values.tex","source_problem_id":"c80:OLP-0377:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":214,"sha256":"416f89ff291e765d8d02156153cc5e136dea842c6a907ecdd17d1484df0226b0"},"byte_end_exclusive":3534,"byte_start":3320,"end_line":78,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":74},"target_file":{"bytes":3551,"sha256":"1cde1a67069aa4443ba24f000756a5f3f5456284b520108b89e3eb0693ee0f96"},"target_path":"locale/id/content/lambda-calculus/lambda-definability/truth-values.tex"},"number":"44.4","physical_page":734,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=734","section_title_id":"Nilai Kebenaran dan Relasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0377:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0377"},{"chapter":"main:44","component":"main","id":"c80:OLP-0378:problem:001:main-fol","local_reader_url":"reader.pdf#page=734","mapping":{"canonical_section_label":"lam:ldf:prf:sec","canonical_section_value":["44.5","609","Fungsi Rekursif Primitif yang \\usetoken {S}{lambda definable}","section*.5014",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=734","combined_page":734,"destination":"probd*.5057","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0378","observed_import_path":"content/lambda-calculus/lambda-definability/primitive-recursive-functions.tex","occurrence_id":"c80:OLP-0378:problem:001:main-fol","printed_number":"44.5","source":{"block":{"bytes":171,"sha256":"ea98ed98ee857645af0149f88d7a638792c1d9ad152856e919e6b47172d17f7a"},"byte_end_exclusive":1613,"byte_start":1442,"end_line":51,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"source_file":{"bytes":5987,"sha256":"9e059524acc2a9576a93578fbb7fcbcb7e32dbe2a9b2bacc117b013e00b61b62"},"source_occurrence_order":297,"source_path":"content/lambda-calculus/lambda-definability/primitive-recursive-functions.tex","source_problem_id":"c80:OLP-0378:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":169,"sha256":"3a5fbe6da33508ba479b34853d7d0572a2c9ed5fa819f4f42365536c5863118c"},"byte_end_exclusive":1637,"byte_start":1468,"end_line":52,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":48},"target_file":{"bytes":6205,"sha256":"f7f1fd96b4544d5417d2a9f730ffc3865ee2249f7a6c7daca02b09d558271af8"},"target_path":"locale/id/content/lambda-calculus/lambda-definability/primitive-recursive-functions.tex"},"number":"44.5","physical_page":734,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=734","section_title_id":"Fungsi Rekursif Primitif yang Dapat didefinisikan secara ","solution_state":"not_audited","source_problem_id":"c80:OLP-0378:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0378"},{"chapter":"main:45","component":"main","id":"c80:OLP-0390:problem:001:main-fol","local_reader_url":"reader.pdf#page=743","mapping":{"canonical_section_label":"mvl:syn:sem:sec","canonical_section_value":["45.6","622","Pengertian Semantik","section*.5102",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=743","combined_page":743,"destination":"probd*.5132","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0390","observed_import_path":"content/many-valued-logic/syntax-and-semantics/semantic-notions.tex","occurrence_id":"c80:OLP-0390:problem:001:main-fol","printed_number":"45.1","source":{"block":{"bytes":75,"sha256":"305bc907c9b6873dd50f1dfce2122a23a3c9951f94a183407b3df3ac3d60bb58"},"byte_end_exclusive":1851,"byte_start":1776,"end_line":59,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":57},"source_file":{"bytes":2406,"sha256":"b0d2713e104a374b3afc7c351b18cdc6f8270a5804161c97be024ca273bd2df9"},"source_occurrence_order":298,"source_path":"content/many-valued-logic/syntax-and-semantics/semantic-notions.tex","source_problem_id":"c80:OLP-0390:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":77,"sha256":"3a09c9d039d27036e233da507eac45a5e456410f8caa3babda0b41d9fb06d47a"},"byte_end_exclusive":1994,"byte_start":1917,"end_line":61,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":59},"target_file":{"bytes":2577,"sha256":"3d7e8fbea9a88c632e662960bdd5d39a3862b133790e0acf2043ec45e648b506"},"target_path":"locale/id/content/many-valued-logic/syntax-and-semantics/semantic-notions.tex"},"number":"45.1","physical_page":743,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=743","section_title_id":"Pengertian Semantik","solution_state":"not_audited","source_problem_id":"c80:OLP-0390:problem:001","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0390"},{"chapter":"main:46","component":"main","id":"c80:OLP-0394:problem:001:main-fol","local_reader_url":"reader.pdf#page=753","mapping":{"canonical_section_label":"mvl:thr:luk:sec","canonical_section_value":["46.2","625","Logika \\L ukasiewicz","section*.5135",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","combined_page":753,"destination":"probd*.5202","exact_problem_labels":["mvl:thr:luk:prob:luk-iff"],"fol_context":true,"native_unit_id":"OLP-0394","observed_import_path":"content/many-valued-logic/three-valued-logics/lukasiewicz.tex","occurrence_id":"c80:OLP-0394:problem:001:main-fol","printed_number":"46.1","source":{"block":{"bytes":204,"sha256":"9110abdabc5b0e13248facce60858c8a183d64e5e7254bce3da57d9fd1664df6"},"byte_end_exclusive":6174,"byte_start":5970,"end_line":139,"environment":"prob","environments":[],"labels":[],"literal_labels":["mvl:thr:luk:prob:luk-iff"],"ordinal":1,"start_line":136},"source_file":{"bytes":10307,"sha256":"f4f46fab1263ab5437fc91964cf3e61a658ca18f5739c520a43f4e45f669f2ab"},"source_occurrence_order":299,"source_path":"content/many-valued-logic/three-valued-logics/lukasiewicz.tex","source_problem_id":"c80:OLP-0394:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":229,"sha256":"dbde86c0cec1488e0b4ae6f7f076c940eee75b973199957b3ab6d06d63c66b9a"},"byte_end_exclusive":6261,"byte_start":6032,"end_line":142,"environment":"prob","environments":[],"labels":[],"literal_labels":["mvl:thr:luk:prob:luk-iff"],"ordinal":1,"start_line":138},"target_file":{"bytes":10480,"sha256":"8f5b07679e55515cfe5224089dc2ec15ab68d4d127ef506c21dd2fabf943c93c"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/lukasiewicz.tex"},"number":"46.1","physical_page":753,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","section_title_id":"Logika Łukasiewicz","solution_state":"not_audited","source_problem_id":"c80:OLP-0394:problem:001","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0394"},{"chapter":"main:46","component":"main","id":"c80:OLP-0394:problem:002:main-fol","local_reader_url":"reader.pdf#page=753","mapping":{"canonical_section_label":"mvl:thr:luk:sec","canonical_section_value":["46.2","625","Logika \\L ukasiewicz","section*.5135",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","combined_page":753,"destination":"probd*.5204","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0394","observed_import_path":"content/many-valued-logic/three-valued-logics/lukasiewicz.tex","occurrence_id":"c80:OLP-0394:problem:002:main-fol","printed_number":"46.2","source":{"block":{"bytes":584,"sha256":"92d2955975f30f744a3762d9a3675b9a31cb025db7be8ed7e1df7e7e30eb9b81"},"byte_end_exclusive":7752,"byte_start":7168,"end_line":170,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":["mvl:thr:luk:prob:luk-taut-2","mvl:thr:luk:prob:luk-taut-3"],"ordinal":2,"start_line":159},"source_file":{"bytes":10307,"sha256":"f4f46fab1263ab5437fc91964cf3e61a658ca18f5739c520a43f4e45f669f2ab"},"source_occurrence_order":300,"source_path":"content/many-valued-logic/three-valued-logics/lukasiewicz.tex","source_problem_id":"c80:OLP-0394:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":586,"sha256":"f27aafbf830f002a86427356c88e53ef698159590dcb28b0d091eb889e43287e"},"byte_end_exclusive":7840,"byte_start":7254,"end_line":174,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":["mvl:thr:luk:prob:luk-taut-2","mvl:thr:luk:prob:luk-taut-3"],"ordinal":2,"start_line":162},"target_file":{"bytes":10480,"sha256":"8f5b07679e55515cfe5224089dc2ec15ab68d4d127ef506c21dd2fabf943c93c"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/lukasiewicz.tex"},"number":"46.2","physical_page":753,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","section_title_id":"Logika Łukasiewicz","solution_state":"not_audited","source_problem_id":"c80:OLP-0394:problem:002","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0394"},{"chapter":"main:46","component":"main","id":"c80:OLP-0394:problem:003:main-fol","local_reader_url":"reader.pdf#page=753","mapping":{"canonical_section_label":"mvl:thr:luk:sec","canonical_section_value":["46.2","625","Logika \\L ukasiewicz","section*.5135",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","combined_page":753,"destination":"probd*.5209","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0394","observed_import_path":"content/many-valued-logic/three-valued-logics/lukasiewicz.tex","occurrence_id":"c80:OLP-0394:problem:003:main-fol","printed_number":"46.3","source":{"block":{"bytes":276,"sha256":"90577e7d5afe9b10b3ba4ebe2229cce749d1f4c091b0f3ffb3acbb20c0a6521f"},"byte_end_exclusive":8032,"byte_start":7756,"end_line":179,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":172},"source_file":{"bytes":10307,"sha256":"f4f46fab1263ab5437fc91964cf3e61a658ca18f5739c520a43f4e45f669f2ab"},"source_occurrence_order":301,"source_path":"content/many-valued-logic/three-valued-logics/lukasiewicz.tex","source_problem_id":"c80:OLP-0394:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":263,"sha256":"852375466e19a05754a87641e4af7a635acd93dbef1465e8543342715a46a6f4"},"byte_end_exclusive":8105,"byte_start":7842,"end_line":184,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":176},"target_file":{"bytes":10480,"sha256":"8f5b07679e55515cfe5224089dc2ec15ab68d4d127ef506c21dd2fabf943c93c"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/lukasiewicz.tex"},"number":"46.3","physical_page":753,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","section_title_id":"Logika Łukasiewicz","solution_state":"not_audited","source_problem_id":"c80:OLP-0394:problem:003","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0394"},{"chapter":"main:46","component":"main","id":"c80:OLP-0394:problem:004:main-fol","local_reader_url":"reader.pdf#page=753","mapping":{"canonical_section_label":"mvl:thr:luk:sec","canonical_section_value":["46.2","625","Logika \\L ukasiewicz","section*.5135",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","combined_page":753,"destination":"probd*.5214","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0394","observed_import_path":"content/many-valued-logic/three-valued-logics/lukasiewicz.tex","occurrence_id":"c80:OLP-0394:problem:004:main-fol","printed_number":"46.4","source":{"block":{"bytes":332,"sha256":"fe24ff43ba509dbdf89836cde3f497a4b24a5c87fbbf75fd2350a37ef60df03f"},"byte_end_exclusive":8732,"byte_start":8400,"end_line":199,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":4,"start_line":190},"source_file":{"bytes":10307,"sha256":"f4f46fab1263ab5437fc91964cf3e61a658ca18f5739c520a43f4e45f669f2ab"},"source_occurrence_order":302,"source_path":"content/many-valued-logic/three-valued-logics/lukasiewicz.tex","source_problem_id":"c80:OLP-0394:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":356,"sha256":"e5bc48ba1b48e80ce208d75c2011281c179e43fee7d4dd98feb2d115373af9cb"},"byte_end_exclusive":8853,"byte_start":8497,"end_line":205,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":4,"start_line":195},"target_file":{"bytes":10480,"sha256":"8f5b07679e55515cfe5224089dc2ec15ab68d4d127ef506c21dd2fabf943c93c"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/lukasiewicz.tex"},"number":"46.4","physical_page":753,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","section_title_id":"Logika Łukasiewicz","solution_state":"not_audited","source_problem_id":"c80:OLP-0394:problem:004","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0394"},{"chapter":"main:46","component":"main","id":"c80:OLP-0394:problem:005:main-fol","local_reader_url":"reader.pdf#page=753","mapping":{"canonical_section_label":"mvl:thr:luk:sec","canonical_section_value":["46.2","625","Logika \\L ukasiewicz","section*.5135",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","combined_page":753,"destination":"probd*.5221","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0394","observed_import_path":"content/many-valued-logic/three-valued-logics/lukasiewicz.tex","occurrence_id":"c80:OLP-0394:problem:005:main-fol","printed_number":"46.5","source":{"block":{"bytes":211,"sha256":"58e4fe170d32522acca16e56fcdefd9aa7c1fac455a26f8d473018ec9752b6c4"},"byte_end_exclusive":9676,"byte_start":9465,"end_line":229,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":225},"source_file":{"bytes":10307,"sha256":"f4f46fab1263ab5437fc91964cf3e61a658ca18f5739c520a43f4e45f669f2ab"},"source_occurrence_order":303,"source_path":"content/many-valued-logic/three-valued-logics/lukasiewicz.tex","source_problem_id":"c80:OLP-0394:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":220,"sha256":"ef153ee559e0cb0601d93eb1e2ac5f8c627ad6b75428613f98eee62ed40f4fc5"},"byte_end_exclusive":9818,"byte_start":9598,"end_line":236,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":232},"target_file":{"bytes":10480,"sha256":"8f5b07679e55515cfe5224089dc2ec15ab68d4d127ef506c21dd2fabf943c93c"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/lukasiewicz.tex"},"number":"46.5","physical_page":753,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","section_title_id":"Logika Łukasiewicz","solution_state":"not_audited","source_problem_id":"c80:OLP-0394:problem:005","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0394"},{"chapter":"main:46","component":"main","id":"c80:OLP-0395:problem:001:main-fol","local_reader_url":"reader.pdf#page=753","mapping":{"canonical_section_label":"mvl:thr:skl:sec","canonical_section_value":["46.3","627","Logika Kleene","section*.5145",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","combined_page":753,"destination":"probd*.5223","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0395","observed_import_path":"content/many-valued-logic/three-valued-logics/kleene.tex","occurrence_id":"c80:OLP-0395:problem:001:main-fol","printed_number":"46.6","source":{"block":{"bytes":357,"sha256":"06c6fd506202a1783af00fc2d9133f46754af28a54edd75f4843c6b35c810063"},"byte_end_exclusive":6022,"byte_start":5665,"end_line":162,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":152},"source_file":{"bytes":7075,"sha256":"5630d9cb5c6a43dde8e85791827e95326ea0258b9be9aecbef3e89ee098cb376"},"source_occurrence_order":304,"source_path":"content/many-valued-logic/three-valued-logics/kleene.tex","source_problem_id":"c80:OLP-0395:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":391,"sha256":"1d76d81bc30e421a7b7b8f0dbd284e46df4305c1d150e2b2238bd1495b98eb7d"},"byte_end_exclusive":6181,"byte_start":5790,"end_line":168,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":157},"target_file":{"bytes":7318,"sha256":"0a11444f92998ba2bd7fb394dc2b73a20977e7a702c77546d340b816f732bd36"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/kleene.tex"},"number":"46.6","physical_page":753,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=753","section_title_id":"Logika Kleene","solution_state":"not_audited","source_problem_id":"c80:OLP-0395:problem:001","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0395"},{"chapter":"main:46","component":"main","id":"c80:OLP-0395:problem:002:main-fol","local_reader_url":"reader.pdf#page=754","mapping":{"canonical_section_label":"mvl:thr:skl:sec","canonical_section_value":["46.3","627","Logika Kleene","section*.5145",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=754","combined_page":754,"destination":"probd*.5230","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0395","observed_import_path":"content/many-valued-logic/three-valued-logics/kleene.tex","occurrence_id":"c80:OLP-0395:problem:002:main-fol","printed_number":"46.7","source":{"block":{"bytes":307,"sha256":"bdd17e49bdee9c39161b62bc458ef40fd7058508be2557e9307c832bb937804b"},"byte_end_exclusive":7055,"byte_start":6748,"end_line":194,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":188},"source_file":{"bytes":7075,"sha256":"5630d9cb5c6a43dde8e85791827e95326ea0258b9be9aecbef3e89ee098cb376"},"source_occurrence_order":305,"source_path":"content/many-valued-logic/three-valued-logics/kleene.tex","source_problem_id":"c80:OLP-0395:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":382,"sha256":"7732a58a7b26c0d7904d4f07b037c14a4216f6de812da51a953cc72053302491"},"byte_end_exclusive":7301,"byte_start":6919,"end_line":200,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":194},"target_file":{"bytes":7318,"sha256":"0a11444f92998ba2bd7fb394dc2b73a20977e7a702c77546d340b816f732bd36"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/kleene.tex"},"number":"46.7","physical_page":754,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=754","section_title_id":"Logika Kleene","solution_state":"not_audited","source_problem_id":"c80:OLP-0395:problem:002","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0395"},{"chapter":"main:46","component":"main","id":"c80:OLP-0396:problem:001:main-fol","local_reader_url":"reader.pdf#page=754","mapping":{"canonical_section_label":"mvl:thr:god:sec","canonical_section_value":["46.4","629","Logika G\\\"odel","section*.5161",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=754","combined_page":754,"destination":"probd*.5232","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0396","observed_import_path":"content/many-valued-logic/three-valued-logics/goedel.tex","occurrence_id":"c80:OLP-0396:problem:001:main-fol","printed_number":"46.8","source":{"block":{"bytes":319,"sha256":"5bf78a2c55de104fd4bc73943e90a9abdffae05cd6e3d56b8847c982f30ca0ed"},"byte_end_exclusive":3538,"byte_start":3219,"end_line":94,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":85},"source_file":{"bytes":4223,"sha256":"de6e29f7cf74c9ee8288354943e960df3ccb3f50ebaa2921442b20c9adac13bf"},"source_occurrence_order":306,"source_path":"content/many-valued-logic/three-valued-logics/goedel.tex","source_problem_id":"c80:OLP-0396:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":343,"sha256":"77d19419eccfc23767fcec9fcd204470d8cb9ca324250527ca616c6c5e5aa3ea"},"byte_end_exclusive":3619,"byte_start":3276,"end_line":96,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":87},"target_file":{"bytes":4336,"sha256":"269b447deb718c91a5f98a10fd69c7fa0147f9d6e5405415eddb17a601c68e8f"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/goedel.tex"},"number":"46.8","physical_page":754,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=754","section_title_id":"Logika Gödel","solution_state":"not_audited","source_problem_id":"c80:OLP-0396:problem:001","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0396"},{"chapter":"main:46","component":"main","id":"c80:OLP-0396:problem:002:main-fol","local_reader_url":"reader.pdf#page=754","mapping":{"canonical_section_label":"mvl:thr:god:sec","canonical_section_value":["46.4","629","Logika G\\\"odel","section*.5161",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=754","combined_page":754,"destination":"probd*.5234","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0396","observed_import_path":"content/many-valued-logic/three-valued-logics/goedel.tex","occurrence_id":"c80:OLP-0396:problem:002:main-fol","printed_number":"46.9","source":{"block":{"bytes":328,"sha256":"4b01cecd0c1d9ec52652a49537546f3c09b2d9c6b2141d8b4c9dd67e727cd402"},"byte_end_exclusive":3870,"byte_start":3542,"end_line":105,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":96},"source_file":{"bytes":4223,"sha256":"de6e29f7cf74c9ee8288354943e960df3ccb3f50ebaa2921442b20c9adac13bf"},"source_occurrence_order":307,"source_path":"content/many-valued-logic/three-valued-logics/goedel.tex","source_problem_id":"c80:OLP-0396:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":343,"sha256":"fc3f7866236bbf10688147a3d8d648bd78c3d3293223f9cdcfe5cb285cd97acb"},"byte_end_exclusive":3964,"byte_start":3621,"end_line":107,"environment":"prob","environments":["align*"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":98},"target_file":{"bytes":4336,"sha256":"269b447deb718c91a5f98a10fd69c7fa0147f9d6e5405415eddb17a601c68e8f"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/goedel.tex"},"number":"46.9","physical_page":754,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=754","section_title_id":"Logika Gödel","solution_state":"not_audited","source_problem_id":"c80:OLP-0396:problem:002","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0396"},{"chapter":"main:46","component":"main","id":"c80:OLP-0396:problem:003:main-fol","local_reader_url":"reader.pdf#page=754","mapping":{"canonical_section_label":"mvl:thr:god:sec","canonical_section_value":["46.4","629","Logika G\\\"odel","section*.5161",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=754","combined_page":754,"destination":"probd*.5236","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0396","observed_import_path":"content/many-valued-logic/three-valued-logics/goedel.tex","occurrence_id":"c80:OLP-0396:problem:003:main-fol","printed_number":"46.10","source":{"block":{"bytes":331,"sha256":"2e693efa2c2f1899215faee518f5e1122cb607a1116af3c8284d70a9af038214"},"byte_end_exclusive":4205,"byte_start":3874,"end_line":116,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":107},"source_file":{"bytes":4223,"sha256":"de6e29f7cf74c9ee8288354943e960df3ccb3f50ebaa2921442b20c9adac13bf"},"source_occurrence_order":308,"source_path":"content/many-valued-logic/three-valued-logics/goedel.tex","source_problem_id":"c80:OLP-0396:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":353,"sha256":"a85686a23368424784889ee51127dc734c798afb4b5d2b4ae7caa9b96d7ee8b8"},"byte_end_exclusive":4319,"byte_start":3966,"end_line":119,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":109},"target_file":{"bytes":4336,"sha256":"269b447deb718c91a5f98a10fd69c7fa0147f9d6e5405415eddb17a601c68e8f"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/goedel.tex"},"number":"46.10","physical_page":754,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=754","section_title_id":"Logika Gödel","solution_state":"not_audited","source_problem_id":"c80:OLP-0396:problem:003","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0396"},{"chapter":"main:46","component":"main","id":"c80:OLP-0397:problem:001:main-fol","local_reader_url":"reader.pdf#page=754","mapping":{"canonical_section_label":"mvl:thr:mul:sec","canonical_section_value":["46.5","630","Menetapkan Bukan Hanya~$\\True $","section*.5168",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=754","combined_page":754,"destination":"probd*.5243","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0397","observed_import_path":"content/many-valued-logic/three-valued-logics/multiple-designation.tex","occurrence_id":"c80:OLP-0397:problem:001:main-fol","printed_number":"46.11","source":{"block":{"bytes":195,"sha256":"4dc865771fa2cf1257564ed2b8d6c47a38737d595006c89b450ae4c487299091"},"byte_end_exclusive":5732,"byte_start":5537,"end_line":133,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":129},"source_file":{"bytes":8529,"sha256":"105d956c622e310bf3039faa57d0fb5604531a143cc8c7bcf3c48d26ee038a09"},"source_occurrence_order":309,"source_path":"content/many-valued-logic/three-valued-logics/multiple-designation.tex","source_problem_id":"c80:OLP-0397:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":178,"sha256":"e197d8d0c11780f560a48fe3308a248e8d03d5d2d5341229e6658cca0ad8e845"},"byte_end_exclusive":6156,"byte_start":5978,"end_line":147,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":143},"target_file":{"bytes":9094,"sha256":"6be7bb5e7d649bfa31f6387496124b44cbe193449f71714f52bac49853aa5e5e"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/multiple-designation.tex"},"number":"46.11","physical_page":754,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=754","section_title_id":"Menetapkan Bukan Hanya T","solution_state":"not_audited","source_problem_id":"c80:OLP-0397:problem:001","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0397"},{"chapter":"main:46","component":"main","id":"c80:OLP-0397:problem:002:main-fol","local_reader_url":"reader.pdf#page=755","mapping":{"canonical_section_label":"mvl:thr:mul:sec","canonical_section_value":["46.5","630","Menetapkan Bukan Hanya~$\\True $","section*.5168",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=755","combined_page":755,"destination":"probd*.5245","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0397","observed_import_path":"content/many-valued-logic/three-valued-logics/multiple-designation.tex","occurrence_id":"c80:OLP-0397:problem:002:main-fol","printed_number":"46.12","source":{"block":{"bytes":91,"sha256":"7982fa72a572719aaa841c151e37da40bf87381cc783c7f97d531c73b4c4e015"},"byte_end_exclusive":5827,"byte_start":5736,"end_line":137,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":135},"source_file":{"bytes":8529,"sha256":"105d956c622e310bf3039faa57d0fb5604531a143cc8c7bcf3c48d26ee038a09"},"source_occurrence_order":310,"source_path":"content/many-valued-logic/three-valued-logics/multiple-designation.tex","source_problem_id":"c80:OLP-0397:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":99,"sha256":"3016a8abd5cef3152f0cd2efb0660474ee650ddb0482b5b003348b67eb824b5b"},"byte_end_exclusive":6257,"byte_start":6158,"end_line":151,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":149},"target_file":{"bytes":9094,"sha256":"6be7bb5e7d649bfa31f6387496124b44cbe193449f71714f52bac49853aa5e5e"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/multiple-designation.tex"},"number":"46.12","physical_page":755,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=755","section_title_id":"Menetapkan Bukan Hanya T","solution_state":"not_audited","source_problem_id":"c80:OLP-0397:problem:002","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0397"},{"chapter":"main:46","component":"main","id":"c80:OLP-0397:problem:003:main-fol","local_reader_url":"reader.pdf#page=755","mapping":{"canonical_section_label":"mvl:thr:mul:sec","canonical_section_value":["46.5","630","Menetapkan Bukan Hanya~$\\True $","section*.5168",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=755","combined_page":755,"destination":"probd*.5247","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0397","observed_import_path":"content/many-valued-logic/three-valued-logics/multiple-designation.tex","occurrence_id":"c80:OLP-0397:problem:003:main-fol","printed_number":"46.13","source":{"block":{"bytes":418,"sha256":"426fb00faefbeda121799412b8800c62e4d326f4591d24bf686aa6ae99dabfc8"},"byte_end_exclusive":6605,"byte_start":6187,"end_line":157,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":146},"source_file":{"bytes":8529,"sha256":"105d956c622e310bf3039faa57d0fb5604531a143cc8c7bcf3c48d26ee038a09"},"source_occurrence_order":311,"source_path":"content/many-valued-logic/three-valued-logics/multiple-designation.tex","source_problem_id":"c80:OLP-0397:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":426,"sha256":"aa659aa405981407fed415b0007c11ed2dc73b599269a260fc157fa62f667987"},"byte_end_exclusive":7064,"byte_start":6638,"end_line":170,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":159},"target_file":{"bytes":9094,"sha256":"6be7bb5e7d649bfa31f6387496124b44cbe193449f71714f52bac49853aa5e5e"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/multiple-designation.tex"},"number":"46.13","physical_page":755,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=755","section_title_id":"Menetapkan Bukan Hanya T","solution_state":"not_audited","source_problem_id":"c80:OLP-0397:problem:003","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0397"},{"chapter":"main:46","component":"main","id":"c80:OLP-0397:problem:004:main-fol","local_reader_url":"reader.pdf#page=755","mapping":{"canonical_section_label":"mvl:thr:mul:sec","canonical_section_value":["46.5","630","Menetapkan Bukan Hanya~$\\True $","section*.5168",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=755","combined_page":755,"destination":"probd*.5255","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0397","observed_import_path":"content/many-valued-logic/three-valued-logics/multiple-designation.tex","occurrence_id":"c80:OLP-0397:problem:004:main-fol","printed_number":"46.14","source":{"block":{"bytes":267,"sha256":"0ae01bf0ce77d532942446b221867f1a9fb5db7956ffa321e5aac65096651e59"},"byte_end_exclusive":7420,"byte_start":7153,"end_line":180,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":4,"start_line":172},"source_file":{"bytes":8529,"sha256":"105d956c622e310bf3039faa57d0fb5604531a143cc8c7bcf3c48d26ee038a09"},"source_occurrence_order":312,"source_path":"content/many-valued-logic/three-valued-logics/multiple-designation.tex","source_problem_id":"c80:OLP-0397:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":267,"sha256":"7d6a26ceb7a22fb46d199cae63d4152abba83c5f58ade1d61f1b4f210102cd1f"},"byte_end_exclusive":7887,"byte_start":7620,"end_line":196,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":4,"start_line":188},"target_file":{"bytes":9094,"sha256":"6be7bb5e7d649bfa31f6387496124b44cbe193449f71714f52bac49853aa5e5e"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/multiple-designation.tex"},"number":"46.14","physical_page":755,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=755","section_title_id":"Menetapkan Bukan Hanya T","solution_state":"not_audited","source_problem_id":"c80:OLP-0397:problem:004","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0397"},{"chapter":"main:46","component":"main","id":"c80:OLP-0397:problem:005:main-fol","local_reader_url":"reader.pdf#page=755","mapping":{"canonical_section_label":"mvl:thr:mul:sec","canonical_section_value":["46.5","630","Menetapkan Bukan Hanya~$\\True $","section*.5168",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=755","combined_page":755,"destination":"probd*.5261","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0397","observed_import_path":"content/many-valued-logic/three-valued-logics/multiple-designation.tex","occurrence_id":"c80:OLP-0397:problem:005:main-fol","printed_number":"46.15","source":{"block":{"bytes":606,"sha256":"fcb84c4cbb4658e61bdd0ad9fdb12d34f9874dfe4e2504c321651e4f44dc9f1e"},"byte_end_exclusive":8509,"byte_start":7903,"end_line":207,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":197},"source_file":{"bytes":8529,"sha256":"105d956c622e310bf3039faa57d0fb5604531a143cc8c7bcf3c48d26ee038a09"},"source_occurrence_order":313,"source_path":"content/many-valued-logic/three-valued-logics/multiple-designation.tex","source_problem_id":"c80:OLP-0397:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":669,"sha256":"57469183f11757fde041193a5d727a03eacbdd9529d31c63053272e3f9d5f35e"},"byte_end_exclusive":9077,"byte_start":8408,"end_line":224,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":213},"target_file":{"bytes":9094,"sha256":"6be7bb5e7d649bfa31f6387496124b44cbe193449f71714f52bac49853aa5e5e"},"target_path":"locale/id/content/many-valued-logic/three-valued-logics/multiple-designation.tex"},"number":"46.15","physical_page":755,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=755","section_title_id":"Menetapkan Bukan Hanya T","solution_state":"not_audited","source_problem_id":"c80:OLP-0397:problem:005","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0397"},{"chapter":"main:47","component":"main","id":"c80:OLP-0400:problem:001:main-fol","local_reader_url":"reader.pdf#page=759","mapping":{"canonical_section_label":"mvl:inf:luk:sec","canonical_section_value":["47.2","636","Logika \\L ukasiewicz","section*.5264",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=759","combined_page":759,"destination":"probd*.5292","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0400","observed_import_path":"content/many-valued-logic/infinite-valued-logics/lukasiewicz.tex","occurrence_id":"c80:OLP-0400:problem:001:main-fol","printed_number":"47.1","source":{"block":{"bytes":74,"sha256":"ae349e0db3075c6619ca24bcb64db39a69b213d13d2cb5f935a26ac2ffbb44db"},"byte_end_exclusive":2739,"byte_start":2665,"end_line":94,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":92},"source_file":{"bytes":3129,"sha256":"3b6867d8660841a2e8ce81b27726e0848efb71629edd19aa77fd8cbc638ed543"},"source_occurrence_order":314,"source_path":"content/many-valued-logic/infinite-valued-logics/lukasiewicz.tex","source_problem_id":"c80:OLP-0400:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":75,"sha256":"6925891fe0dac8b04ea2246295c2fd647ca4798bd80152f15242ed0164dd11ce"},"byte_end_exclusive":2825,"byte_start":2750,"end_line":98,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":96},"target_file":{"bytes":3229,"sha256":"02929ea5a9daf746880daf4be2dec07abab988bd12bc15a2eaab19085c2a74f1"},"target_path":"locale/id/content/many-valued-logic/infinite-valued-logics/lukasiewicz.tex"},"number":"47.1","physical_page":759,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=759","section_title_id":"Logika Łukasiewicz","solution_state":"not_audited","source_problem_id":"c80:OLP-0400:problem:001","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0400"},{"chapter":"main:47","component":"main","id":"c80:OLP-0400:problem:002:main-fol","local_reader_url":"reader.pdf#page=759","mapping":{"canonical_section_label":"mvl:inf:luk:sec","canonical_section_value":["47.2","636","Logika \\L ukasiewicz","section*.5264",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=759","combined_page":759,"destination":"probd*.5294","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0400","observed_import_path":"content/many-valued-logic/infinite-valued-logics/lukasiewicz.tex","occurrence_id":"c80:OLP-0400:problem:002:main-fol","printed_number":"47.2","source":{"block":{"bytes":106,"sha256":"664264675988fdeefafac89a0b109dc69bab4f54d746e9cca423549b6903565a"},"byte_end_exclusive":3111,"byte_start":3005,"end_line":106,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":103},"source_file":{"bytes":3129,"sha256":"3b6867d8660841a2e8ce81b27726e0848efb71629edd19aa77fd8cbc638ed543"},"source_occurrence_order":315,"source_path":"content/many-valued-logic/infinite-valued-logics/lukasiewicz.tex","source_problem_id":"c80:OLP-0400:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":116,"sha256":"7c6f4e6720e4c80321833a339b0cdb7a1f28066a79af0d7b41b666b6743925b8"},"byte_end_exclusive":3212,"byte_start":3096,"end_line":109,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":106},"target_file":{"bytes":3229,"sha256":"02929ea5a9daf746880daf4be2dec07abab988bd12bc15a2eaab19085c2a74f1"},"target_path":"locale/id/content/many-valued-logic/infinite-valued-logics/lukasiewicz.tex"},"number":"47.2","physical_page":759,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=759","section_title_id":"Logika Łukasiewicz","solution_state":"not_audited","source_problem_id":"c80:OLP-0400:problem:002","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0400"},{"chapter":"main:47","component":"main","id":"c80:OLP-0401:problem:001:main-fol","local_reader_url":"reader.pdf#page=759","mapping":{"canonical_section_label":"mvl:inf:god:sec","canonical_section_value":["47.3","638","Logika-Logika G\\\"odel","section*.5277",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=759","combined_page":759,"destination":"probd*.5296","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0401","observed_import_path":"content/many-valued-logic/infinite-valued-logics/goedel.tex","occurrence_id":"c80:OLP-0401:problem:001:main-fol","printed_number":"47.3","source":{"block":{"bytes":74,"sha256":"cd407e03b15ffd02c021637b66354260e5a10dd699a8d0a45ea4f28493f05d5b"},"byte_end_exclusive":2788,"byte_start":2714,"end_line":97,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":95},"source_file":{"bytes":3992,"sha256":"e763954137e0c3ed9e2ce32d0ed248bd50e922f7f147fc0506e482878932314b"},"source_occurrence_order":316,"source_path":"content/many-valued-logic/infinite-valued-logics/goedel.tex","source_problem_id":"c80:OLP-0401:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":75,"sha256":"9e4e47f4d0e29641d92d01c0be0a31967bcd3eef0a6f806f95c9d8ca3b6eb3f8"},"byte_end_exclusive":2878,"byte_start":2803,"end_line":102,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":100},"target_file":{"bytes":4148,"sha256":"5fcd94e72e87ba849d096bededaa7a8967652d1abbe944ab6918f2e017ef703c"},"target_path":"locale/id/content/many-valued-logic/infinite-valued-logics/goedel.tex"},"number":"47.3","physical_page":759,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=759","section_title_id":"Logika-Logika Gödel","solution_state":"not_audited","source_problem_id":"c80:OLP-0401:problem:001","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0401"},{"chapter":"main:47","component":"main","id":"c80:OLP-0401:problem:002:main-fol","local_reader_url":"reader.pdf#page=759","mapping":{"canonical_section_label":"mvl:inf:god:sec","canonical_section_value":["47.3","638","Logika-Logika G\\\"odel","section*.5277",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=759","combined_page":759,"destination":"probd*.5298","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0401","observed_import_path":"content/many-valued-logic/infinite-valued-logics/goedel.tex","occurrence_id":"c80:OLP-0401:problem:002:main-fol","printed_number":"47.4","source":{"block":{"bytes":106,"sha256":"efad1f00c6f76f0fc2fcff383291a833eaa48b9bda5387c44354f8fb22ac8d9c"},"byte_end_exclusive":3804,"byte_start":3698,"end_line":120,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":117},"source_file":{"bytes":3992,"sha256":"e763954137e0c3ed9e2ce32d0ed248bd50e922f7f147fc0506e482878932314b"},"source_occurrence_order":317,"source_path":"content/many-valued-logic/infinite-valued-logics/goedel.tex","source_problem_id":"c80:OLP-0401:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":116,"sha256":"eae52e36722b03eba9b4c49cffaa9c35e80202ffaf3ed970ab66c8ef991f096e"},"byte_end_exclusive":3954,"byte_start":3838,"end_line":125,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":122},"target_file":{"bytes":4148,"sha256":"5fcd94e72e87ba849d096bededaa7a8967652d1abbe944ab6918f2e017ef703c"},"target_path":"locale/id/content/many-valued-logic/infinite-valued-logics/goedel.tex"},"number":"47.4","physical_page":759,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=759","section_title_id":"Logika-Logika Gödel","solution_state":"not_audited","source_problem_id":"c80:OLP-0401:problem:002","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0401"},{"chapter":"main:47","component":"main","id":"c80:OLP-0401:problem:003:main-fol","local_reader_url":"reader.pdf#page=759","mapping":{"canonical_section_label":"mvl:inf:god:sec","canonical_section_value":["47.3","638","Logika-Logika G\\\"odel","section*.5277",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=759","combined_page":759,"destination":"probd*.5300","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0401","observed_import_path":"content/many-valued-logic/infinite-valued-logics/goedel.tex","occurrence_id":"c80:OLP-0401:problem:003:main-fol","printed_number":"47.5","source":{"block":{"bytes":166,"sha256":"e741f52bb6d4f43532c17e20f9591bc1e6f812eaa5ce195b4862c055bab61ff8"},"byte_end_exclusive":3974,"byte_start":3808,"end_line":125,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":122},"source_file":{"bytes":3992,"sha256":"e763954137e0c3ed9e2ce32d0ed248bd50e922f7f147fc0506e482878932314b"},"source_occurrence_order":318,"source_path":"content/many-valued-logic/infinite-valued-logics/goedel.tex","source_problem_id":"c80:OLP-0401:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":175,"sha256":"c1163fe52aaeda1faf76e809e221cce9290b12cd6f59ad8031231313853903bb"},"byte_end_exclusive":4131,"byte_start":3956,"end_line":131,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":127},"target_file":{"bytes":4148,"sha256":"5fcd94e72e87ba849d096bededaa7a8967652d1abbe944ab6918f2e017ef703c"},"target_path":"locale/id/content/many-valued-logic/infinite-valued-logics/goedel.tex"},"number":"47.5","physical_page":759,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=759","section_title_id":"Logika-Logika Gödel","solution_state":"not_audited","source_problem_id":"c80:OLP-0401:problem:003","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0401"},{"chapter":"main:49","component":"main","id":"c80:OLP-0413:problem:001:main-fol","local_reader_url":"reader.pdf#page=782","mapping":{"canonical_section_label":"nml:syn:trw:sec","canonical_section_value":["49.5","653","Kebenaran pada Suatu Dunia","section*.5370",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=782","combined_page":782,"destination":"probd*.5452","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0413","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex","occurrence_id":"c80:OLP-0413:problem:001:main-fol","printed_number":"49.1","source":{"block":{"bytes":514,"sha256":"4f7d84304bddd080501cf7bedf08acd322d73cca59d6ff8b42d205d2f3672058"},"byte_end_exclusive":2984,"byte_start":2470,"end_line":69,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":55},"source_file":{"bytes":5344,"sha256":"082e6f52306e829ab4b612be9237998cf1d08bec190f972d849b8f6b5e74e8cc"},"source_occurrence_order":319,"source_path":"content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex","source_problem_id":"c80:OLP-0413:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":519,"sha256":"740d74be7cbdd347746d4179109ab5b2de576b976b4d566983b06a274dff1121"},"byte_end_exclusive":3378,"byte_start":2859,"end_line":75,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":61},"target_file":{"bytes":6104,"sha256":"21664e21df269b5c118f3d25107932a5eecf97e1d084d89b6f3deda0ce3e9f7d"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex"},"number":"49.1","physical_page":782,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=782","section_title_id":"Kebenaran pada Suatu Dunia","solution_state":"not_audited","source_problem_id":"c80:OLP-0413:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0413"},{"chapter":"main:49","component":"main","id":"c80:OLP-0413:problem:002:main-fol","local_reader_url":"reader.pdf#page=782","mapping":{"canonical_section_label":"nml:syn:trw:sec","canonical_section_value":["49.5","653","Kebenaran pada Suatu Dunia","section*.5370",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=782","combined_page":782,"destination":"probd*.5463","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0413","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex","occurrence_id":"c80:OLP-0413:problem:002:main-fol","printed_number":"49.2","source":{"block":{"bytes":102,"sha256":"d51785f9df0b600d595c347631f0cbf9c9bcc49cffeee44a4eda0fa45af3a498"},"byte_end_exclusive":4673,"byte_start":4571,"end_line":106,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":104},"source_file":{"bytes":5344,"sha256":"082e6f52306e829ab4b612be9237998cf1d08bec190f972d849b8f6b5e74e8cc"},"source_occurrence_order":320,"source_path":"content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex","source_problem_id":"c80:OLP-0413:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":98,"sha256":"b1a2c23a7af3fd742ec68b6079c2d2cb9e82c27b27c7e2110d62c343077f5e09"},"byte_end_exclusive":5374,"byte_start":5276,"end_line":116,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":114},"target_file":{"bytes":6104,"sha256":"21664e21df269b5c118f3d25107932a5eecf97e1d084d89b6f3deda0ce3e9f7d"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex"},"number":"49.2","physical_page":782,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=782","section_title_id":"Kebenaran pada Suatu Dunia","solution_state":"not_audited","source_problem_id":"c80:OLP-0413:problem:002","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0413"},{"chapter":"main:49","component":"main","id":"c80:OLP-0413:problem:003:main-fol","local_reader_url":"reader.pdf#page=782","mapping":{"canonical_section_label":"nml:syn:trw:sec","canonical_section_value":["49.5","653","Kebenaran pada Suatu Dunia","section*.5370",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=782","combined_page":782,"destination":"probd*.5465","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0413","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex","occurrence_id":"c80:OLP-0413:problem:003:main-fol","printed_number":"49.3","source":{"block":{"bytes":455,"sha256":"69be1273d4668bac40ca751663885c4a26ac68c0876134006ff5946ee9c6d1fb"},"byte_end_exclusive":5148,"byte_start":4693,"end_line":118,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":109},"source_file":{"bytes":5344,"sha256":"082e6f52306e829ab4b612be9237998cf1d08bec190f972d849b8f6b5e74e8cc"},"source_occurrence_order":321,"source_path":"content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex","source_problem_id":"c80:OLP-0413:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":510,"sha256":"4ddb237d3cff2a9d9de5b35dc0d1674828a98a930653eb6a9ae3282f9c73b2de"},"byte_end_exclusive":5901,"byte_start":5391,"end_line":130,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":119},"target_file":{"bytes":6104,"sha256":"21664e21df269b5c118f3d25107932a5eecf97e1d084d89b6f3deda0ce3e9f7d"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex"},"number":"49.3","physical_page":782,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=782","section_title_id":"Kebenaran pada Suatu Dunia","solution_state":"not_audited","source_problem_id":"c80:OLP-0413:problem:003","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0413"},{"chapter":"main:49","component":"main","id":"c80:OLP-0413:problem:004:main-fol","local_reader_url":"reader.pdf#page=783","mapping":{"canonical_section_label":"nml:syn:trw:sec","canonical_section_value":["49.5","653","Kebenaran pada Suatu Dunia","section*.5370",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","combined_page":783,"destination":"probd*.5469","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0413","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex","occurrence_id":"c80:OLP-0413:problem:004:main-fol","printed_number":"49.4","source":{"block":{"bytes":172,"sha256":"204eb913829a7f94e95b0f92db1a3dcba292b150dac36201c1ce56d70a29218e"},"byte_end_exclusive":5324,"byte_start":5152,"end_line":124,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":120},"source_file":{"bytes":5344,"sha256":"082e6f52306e829ab4b612be9237998cf1d08bec190f972d849b8f6b5e74e8cc"},"source_occurrence_order":322,"source_path":"content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex","source_problem_id":"c80:OLP-0413:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":184,"sha256":"ab7fd3cba1b718ed06acef7fd8573830544d9549fecc70377f93b184ebe2e225"},"byte_end_exclusive":6087,"byte_start":5903,"end_line":136,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":132},"target_file":{"bytes":6104,"sha256":"21664e21df269b5c118f3d25107932a5eecf97e1d084d89b6f3deda0ce3e9f7d"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/truth-at-w.tex"},"number":"49.4","physical_page":783,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","section_title_id":"Kebenaran pada Suatu Dunia","solution_state":"not_audited","source_problem_id":"c80:OLP-0413:problem:004","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0413"},{"chapter":"main:49","component":"main","id":"c80:OLP-0414:problem:001:main-fol","local_reader_url":"reader.pdf#page=783","mapping":{"canonical_section_label":"nml:syn:tru:sec","canonical_section_value":["49.6","654","Kebenaran dalam Suatu Model","section*.5390",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","combined_page":783,"destination":"probd*.5471","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0414","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/truth-in-model.tex","occurrence_id":"c80:OLP-0414:problem:001:main-fol","printed_number":"49.5","source":{"block":{"bytes":1235,"sha256":"05b9f1944c8e4ae31b8846c86d7a75c804637fadbae3f3052a3d079a0612582e"},"byte_end_exclusive":3224,"byte_start":1989,"end_line":82,"environment":"prob","environments":["center","tikzpicture","enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":55},"source_file":{"bytes":3244,"sha256":"d5de1040475bc5914585dddbf1d0a6988b91b47370448007d5b8d6149b8155aa"},"source_occurrence_order":323,"source_path":"content/normal-modal-logic/syntax-and-semantics/truth-in-model.tex","source_problem_id":"c80:OLP-0414:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":1231,"sha256":"ddec454297a658e05c56a770c16602e91a3ecd5760635d9a3a207af85ba5f4a1"},"byte_end_exclusive":3383,"byte_start":2152,"end_line":85,"environment":"prob","environments":["center","tikzpicture","enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":57},"target_file":{"bytes":3400,"sha256":"54b38651ad3ec0d64f88860973ad9639055d51940a19284e9e6fe21bc35c5db1"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/truth-in-model.tex"},"number":"49.5","physical_page":783,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","section_title_id":"Kebenaran dalam Suatu Model","solution_state":"not_audited","source_problem_id":"c80:OLP-0414:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0414"},{"chapter":"main:49","component":"main","id":"c80:OLP-0415:problem:001:main-fol","local_reader_url":"reader.pdf#page=783","mapping":{"canonical_section_label":"nml:syn:val:sec","canonical_section_value":["49.7","655","Validitas","section*.5400",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","combined_page":783,"destination":"probd*.5479","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0415","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/modal-validity.tex","occurrence_id":"c80:OLP-0415:problem:001:main-fol","printed_number":"49.6","source":{"block":{"bytes":218,"sha256":"8ff1cd648baf5ab641ac5033a34c67d65e0bca18dbb781585b84f7a562ed5f7d"},"byte_end_exclusive":2655,"byte_start":2437,"end_line":68,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":61},"source_file":{"bytes":2992,"sha256":"23df39bee4d4509f5b47252de718b4d838a2c05d92e7de008104b0bb5daa6a4f"},"source_occurrence_order":324,"source_path":"content/normal-modal-logic/syntax-and-semantics/modal-validity.tex","source_problem_id":"c80:OLP-0415:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":223,"sha256":"5ebc87292bd85c01e5e224856be7b56f7e5af703258187d7e41df2a0088758e5"},"byte_end_exclusive":2826,"byte_start":2603,"end_line":68,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":61},"target_file":{"bytes":3184,"sha256":"30e34a25efd6217af82cf1e4bcce9877351b517f5a0d1e468f4998e2af3879a0"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/modal-validity.tex"},"number":"49.6","physical_page":783,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","section_title_id":"Validitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0415:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0415"},{"chapter":"main:49","component":"main","id":"c80:OLP-0415:problem:002:main-fol","local_reader_url":"reader.pdf#page=783","mapping":{"canonical_section_label":"nml:syn:val:sec","canonical_section_value":["49.7","655","Validitas","section*.5400",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","combined_page":783,"destination":"probd*.5484","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0415","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/modal-validity.tex","occurrence_id":"c80:OLP-0415:problem:002:main-fol","printed_number":"49.7","source":{"block":{"bytes":313,"sha256":"9254b575a9b398c07fcf0376873a6f5aeb55bf2d3aafb7f9ff17a3e0fbb544db"},"byte_end_exclusive":2972,"byte_start":2659,"end_line":76,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":70},"source_file":{"bytes":2992,"sha256":"23df39bee4d4509f5b47252de718b4d838a2c05d92e7de008104b0bb5daa6a4f"},"source_occurrence_order":325,"source_path":"content/normal-modal-logic/syntax-and-semantics/modal-validity.tex","source_problem_id":"c80:OLP-0415:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":339,"sha256":"1d28b421767a8ad4910b2985e6db8fa9281d174f92c420f50ec64c7b21626e4e"},"byte_end_exclusive":3167,"byte_start":2828,"end_line":76,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":70},"target_file":{"bytes":3184,"sha256":"30e34a25efd6217af82cf1e4bcce9877351b517f5a0d1e468f4998e2af3879a0"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/modal-validity.tex"},"number":"49.7","physical_page":783,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","section_title_id":"Validitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0415:problem:002","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0415"},{"chapter":"main:49","component":"main","id":"c80:OLP-0417:problem:001:main-fol","local_reader_url":"reader.pdf#page=783","mapping":{"canonical_section_label":"nml:syn:sch:sec","canonical_section_value":["49.9","657","Skema dan Validitas","section*.5425",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","combined_page":783,"destination":"probd*.5486","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0417","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","occurrence_id":"c80:OLP-0417:problem:001:main-fol","printed_number":"49.8","source":{"block":{"bytes":73,"sha256":"2a42542e36f91ab68d121a97b24d1a602763fa8626d2006c99425ee77f88eb34"},"byte_end_exclusive":2578,"byte_start":2505,"end_line":73,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":71},"source_file":{"bytes":6644,"sha256":"5c9f569fbee942e71c14aab2686c1d8034a553e2ae7c92b2afcaa1cebd66cef7"},"source_occurrence_order":326,"source_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","source_problem_id":"c80:OLP-0417:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":74,"sha256":"f52cc59c2edeeb8b8ced903261ccce972b1ea6136482928d5b834ec2b7fe94d2"},"byte_end_exclusive":2713,"byte_start":2639,"end_line":74,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":72},"target_file":{"bytes":6982,"sha256":"a96d812e956ef305b9a079b25eaa30636f1ab1dfba9061a905aeb09cc2821cda"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/schemas.tex"},"number":"49.8","physical_page":783,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","section_title_id":"Skema dan Validitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0417:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0417"},{"chapter":"main:49","component":"main","id":"c80:OLP-0417:problem:002:main-fol","local_reader_url":"reader.pdf#page=783","mapping":{"canonical_section_label":"nml:syn:sch:sec","canonical_section_value":["49.9","657","Skema dan Validitas","section*.5425",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","combined_page":783,"destination":"probd*.5488","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0417","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","occurrence_id":"c80:OLP-0417:problem:002:main-fol","printed_number":"49.9","source":{"block":{"bytes":165,"sha256":"9ca01bbbc57ab7a403ec1e8d8153535aa803579ce27ab3775ce5391b12027d13"},"byte_end_exclusive":3976,"byte_start":3811,"end_line":108,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":104},"source_file":{"bytes":6644,"sha256":"5c9f569fbee942e71c14aab2686c1d8034a553e2ae7c92b2afcaa1cebd66cef7"},"source_occurrence_order":327,"source_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","source_problem_id":"c80:OLP-0417:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":172,"sha256":"a45c04b95dc68e6787dabac9699db1b0cb40bbd504ddaf097f61c47402e3a647"},"byte_end_exclusive":4237,"byte_start":4065,"end_line":110,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":106},"target_file":{"bytes":6982,"sha256":"a96d812e956ef305b9a079b25eaa30636f1ab1dfba9061a905aeb09cc2821cda"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/schemas.tex"},"number":"49.9","physical_page":783,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","section_title_id":"Skema dan Validitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0417:problem:002","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0417"},{"chapter":"main:49","component":"main","id":"c80:OLP-0417:problem:003:main-fol","local_reader_url":"reader.pdf#page=783","mapping":{"canonical_section_label":"nml:syn:sch:sec","canonical_section_value":["49.9","657","Skema dan Validitas","section*.5425",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","combined_page":783,"destination":"probd*.5490","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0417","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","occurrence_id":"c80:OLP-0417:problem:003:main-fol","printed_number":"49.10","source":{"block":{"bytes":390,"sha256":"a2243cc5eb122d8a1cb48e0b6aee85563b733c374a0d816906915b5dbdf4fbf0"},"byte_end_exclusive":4920,"byte_start":4530,"end_line":129,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":119},"source_file":{"bytes":6644,"sha256":"5c9f569fbee942e71c14aab2686c1d8034a553e2ae7c92b2afcaa1cebd66cef7"},"source_occurrence_order":328,"source_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","source_problem_id":"c80:OLP-0417:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":388,"sha256":"ebcfb44930370e3354579910ac5125ec0ea8e923c4534c51200187b627237e62"},"byte_end_exclusive":5283,"byte_start":4895,"end_line":132,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":122},"target_file":{"bytes":6982,"sha256":"a96d812e956ef305b9a079b25eaa30636f1ab1dfba9061a905aeb09cc2821cda"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/schemas.tex"},"number":"49.10","physical_page":783,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=783","section_title_id":"Skema dan Validitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0417:problem:003","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0417"},{"chapter":"main:49","component":"main","id":"c80:OLP-0417:problem:004:main-fol","local_reader_url":"reader.pdf#page=784","mapping":{"canonical_section_label":"nml:syn:sch:sec","canonical_section_value":["49.9","657","Skema dan Validitas","section*.5425",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=784","combined_page":784,"destination":"probd*.5492","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0417","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","occurrence_id":"c80:OLP-0417:problem:004:main-fol","printed_number":"49.11","source":{"block":{"bytes":212,"sha256":"2fe0fdff2cbf6af7959c312bae357f3b0fdc8b81e1fd0c23eae57f8fd123ab86"},"byte_end_exclusive":6091,"byte_start":5879,"end_line":162,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":158},"source_file":{"bytes":6644,"sha256":"5c9f569fbee942e71c14aab2686c1d8034a553e2ae7c92b2afcaa1cebd66cef7"},"source_occurrence_order":329,"source_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","source_problem_id":"c80:OLP-0417:problem:004","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":211,"sha256":"98efa6b7cc5837fe24a34edf432161539ba9158a2c12884072e5b75895825adc"},"byte_end_exclusive":6428,"byte_start":6217,"end_line":165,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":161},"target_file":{"bytes":6982,"sha256":"a96d812e956ef305b9a079b25eaa30636f1ab1dfba9061a905aeb09cc2821cda"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/schemas.tex"},"number":"49.11","physical_page":784,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=784","section_title_id":"Skema dan Validitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0417:problem:004","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0417"},{"chapter":"main:49","component":"main","id":"c80:OLP-0417:problem:005:main-fol","local_reader_url":"reader.pdf#page=784","mapping":{"canonical_section_label":"nml:syn:sch:sec","canonical_section_value":["49.9","657","Skema dan Validitas","section*.5425",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=784","combined_page":784,"destination":"probd*.5494","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0417","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","occurrence_id":"c80:OLP-0417:problem:005:main-fol","printed_number":"49.12","source":{"block":{"bytes":253,"sha256":"71ccdbac50aa05d8b6e9a68cf477845a4352b39581767631f96b9c0e3ff0ddd1"},"byte_end_exclusive":6348,"byte_start":6095,"end_line":171,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":5,"start_line":164},"source_file":{"bytes":6644,"sha256":"5c9f569fbee942e71c14aab2686c1d8034a553e2ae7c92b2afcaa1cebd66cef7"},"source_occurrence_order":330,"source_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","source_problem_id":"c80:OLP-0417:problem:005","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":247,"sha256":"2faa7f7021f61e8ede187571d47ce0aa6d5fac7c7c8f8adcddd02fd533167185"},"byte_end_exclusive":6677,"byte_start":6430,"end_line":174,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":5,"start_line":167},"target_file":{"bytes":6982,"sha256":"a96d812e956ef305b9a079b25eaa30636f1ab1dfba9061a905aeb09cc2821cda"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/schemas.tex"},"number":"49.12","physical_page":784,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=784","section_title_id":"Skema dan Validitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0417:problem:005","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0417"},{"chapter":"main:49","component":"main","id":"c80:OLP-0417:problem:006:main-fol","local_reader_url":"reader.pdf#page=784","mapping":{"canonical_section_label":"nml:syn:sch:sec","canonical_section_value":["49.9","657","Skema dan Validitas","section*.5425",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=784","combined_page":784,"destination":"probd*.5498","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0417","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","occurrence_id":"c80:OLP-0417:problem:006:main-fol","printed_number":"49.13","source":{"block":{"bytes":272,"sha256":"46b4bf350a9599aeb15e312e48f4ded95bc2b6de30db8d99f531a7356f7194cf"},"byte_end_exclusive":6624,"byte_start":6352,"end_line":180,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":6,"start_line":173},"source_file":{"bytes":6644,"sha256":"5c9f569fbee942e71c14aab2686c1d8034a553e2ae7c92b2afcaa1cebd66cef7"},"source_occurrence_order":331,"source_path":"content/normal-modal-logic/syntax-and-semantics/schemas.tex","source_problem_id":"c80:OLP-0417:problem:006","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":286,"sha256":"69450cd520595b9ce7c9b0b77488facc7fb48f30e04ad7bfa8370323752d9693"},"byte_end_exclusive":6965,"byte_start":6679,"end_line":184,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":6,"start_line":176},"target_file":{"bytes":6982,"sha256":"a96d812e956ef305b9a079b25eaa30636f1ab1dfba9061a905aeb09cc2821cda"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/schemas.tex"},"number":"49.13","physical_page":784,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=784","section_title_id":"Skema dan Validitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0417:problem:006","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0417"},{"chapter":"main:49","component":"main","id":"c80:OLP-0418:problem:001:main-fol","local_reader_url":"reader.pdf#page=784","mapping":{"canonical_section_label":"nml:syn:ent:sec","canonical_section_value":["49.10","659","Perikutan","section*.5444",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=784","combined_page":784,"destination":"probd*.5502","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0418","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/entailment.tex","occurrence_id":"c80:OLP-0418:problem:001:main-fol","printed_number":"49.14","source":{"block":{"bytes":76,"sha256":"f8877feba6e414f71483bc461cda7c2a089b538a5e168be3bd354945944fddf3"},"byte_end_exclusive":3339,"byte_start":3263,"end_line":78,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":76},"source_file":{"bytes":3491,"sha256":"101130800880b56a39c7d9dea583488c625739deceeaa402e90fd22d47962a05"},"source_occurrence_order":332,"source_path":"content/normal-modal-logic/syntax-and-semantics/entailment.tex","source_problem_id":"c80:OLP-0418:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":80,"sha256":"1e41a1995c52ea6227a2032a98eecb037449f0419fdd631ae41e16d29c78ca81"},"byte_end_exclusive":3598,"byte_start":3518,"end_line":84,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":82},"target_file":{"bytes":3748,"sha256":"a457e07146e08fad3380d1068b39fc934a0911094fb46fb218028e598d7f04dd"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/entailment.tex"},"number":"49.14","physical_page":784,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=784","section_title_id":"Perikutan","solution_state":"not_audited","source_problem_id":"c80:OLP-0418:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0418"},{"chapter":"main:49","component":"main","id":"c80:OLP-0418:problem:002:main-fol","local_reader_url":"reader.pdf#page=784","mapping":{"canonical_section_label":"nml:syn:ent:sec","canonical_section_value":["49.10","659","Perikutan","section*.5444",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=784","combined_page":784,"destination":"probd*.5504","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0418","observed_import_path":"content/normal-modal-logic/syntax-and-semantics/entailment.tex","occurrence_id":"c80:OLP-0418:problem:002:main-fol","printed_number":"49.15","source":{"block":{"bytes":128,"sha256":"b254f120d54e8c7738c19dcda1a61ed320d84a7c543b1cd7473b3fffe2475ec6"},"byte_end_exclusive":3471,"byte_start":3343,"end_line":83,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":80},"source_file":{"bytes":3491,"sha256":"101130800880b56a39c7d9dea583488c625739deceeaa402e90fd22d47962a05"},"source_occurrence_order":333,"source_path":"content/normal-modal-logic/syntax-and-semantics/entailment.tex","source_problem_id":"c80:OLP-0418:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":131,"sha256":"6bb78326054a6a6959632a2fb2c76055249c74faa272874a9f7e7129e0f47ca7"},"byte_end_exclusive":3731,"byte_start":3600,"end_line":89,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":86},"target_file":{"bytes":3748,"sha256":"a457e07146e08fad3380d1068b39fc934a0911094fb46fb218028e598d7f04dd"},"target_path":"locale/id/content/normal-modal-logic/syntax-and-semantics/entailment.tex"},"number":"49.15","physical_page":784,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=784","section_title_id":"Perikutan","solution_state":"not_audited","source_problem_id":"c80:OLP-0418:problem:002","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0418"},{"chapter":"main:50","component":"main","id":"c80:OLP-0421:problem:001:main-fol","local_reader_url":"reader.pdf#page=797","mapping":{"canonical_section_label":"nml:frd:acc:sec","canonical_section_value":["50.2","664","Sifat Relasi Aksesibilitas","section*.5507",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","combined_page":797,"destination":"probd*.5601","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0421","observed_import_path":"content/normal-modal-logic/frame-definability/properties-accessibility.tex","occurrence_id":"c80:OLP-0421:problem:001:main-fol","printed_number":"50.1","source":{"block":{"bytes":90,"sha256":"22093e1b06c128b530b958e80765a58452f27a04b377bff1bb59908f8b76ac67"},"byte_end_exclusive":2946,"byte_start":2856,"end_line":74,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":72},"source_file":{"bytes":8096,"sha256":"6934aac16103b285862b4c8619a88082d92d60dfb66f0a5c93ed746b52316d20"},"source_occurrence_order":334,"source_path":"content/normal-modal-logic/frame-definability/properties-accessibility.tex","source_problem_id":"c80:OLP-0421:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":86,"sha256":"ceeb9dc5625f2dec211fcb9732f748d9a45d20984462491dbe8cf1e7fa8dad4a"},"byte_end_exclusive":3012,"byte_start":2926,"end_line":75,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":73},"target_file":{"bytes":8186,"sha256":"9e78ef6e940341f0edc354546b8947d56115802ae3dc43ccba3a8712dddf7e43"},"target_path":"locale/id/content/normal-modal-logic/frame-definability/properties-accessibility.tex"},"number":"50.1","physical_page":797,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","section_title_id":"Sifat Relasi Aksesibilitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0421:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0421"},{"chapter":"main:50","component":"main","id":"c80:OLP-0421:problem:002:main-fol","local_reader_url":"reader.pdf#page=797","mapping":{"canonical_section_label":"nml:frd:acc:sec","canonical_section_value":["50.2","664","Sifat Relasi Aksesibilitas","section*.5507",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","combined_page":797,"destination":"probd*.5603","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0421","observed_import_path":"content/normal-modal-logic/frame-definability/properties-accessibility.tex","occurrence_id":"c80:OLP-0421:problem:002:main-fol","printed_number":"50.2","source":{"block":{"bytes":86,"sha256":"fc8a6e2c84277f18ef14d29ee7814721d92467c2cd6a34455cf22bf48330e965"},"byte_end_exclusive":5061,"byte_start":4975,"end_line":123,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":121},"source_file":{"bytes":8096,"sha256":"6934aac16103b285862b4c8619a88082d92d60dfb66f0a5c93ed746b52316d20"},"source_occurrence_order":335,"source_path":"content/normal-modal-logic/frame-definability/properties-accessibility.tex","source_problem_id":"c80:OLP-0421:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":91,"sha256":"d20ef93ba9113fb1da2837e54f0baed6a80d93c8c0cafaf11541468e6365a27a"},"byte_end_exclusive":5119,"byte_start":5028,"end_line":122,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":120},"target_file":{"bytes":8186,"sha256":"9e78ef6e940341f0edc354546b8947d56115802ae3dc43ccba3a8712dddf7e43"},"target_path":"locale/id/content/normal-modal-logic/frame-definability/properties-accessibility.tex"},"number":"50.2","physical_page":797,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","section_title_id":"Sifat Relasi Aksesibilitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0421:problem:002","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0421"},{"chapter":"main:50","component":"main","id":"c80:OLP-0421:problem:003:main-fol","local_reader_url":"reader.pdf#page=797","mapping":{"canonical_section_label":"nml:frd:acc:sec","canonical_section_value":["50.2","664","Sifat Relasi Aksesibilitas","section*.5507",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","combined_page":797,"destination":"probd*.5605","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0421","observed_import_path":"content/normal-modal-logic/frame-definability/properties-accessibility.tex","occurrence_id":"c80:OLP-0421:problem:003:main-fol","printed_number":"50.3","source":{"block":{"bytes":258,"sha256":"ef86a4b141700c2fd8c99c4366fda83349dfe50bb109693a14ea51e91d95ed0a"},"byte_end_exclusive":8072,"byte_start":7814,"end_line":187,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":182},"source_file":{"bytes":8096,"sha256":"6934aac16103b285862b4c8619a88082d92d60dfb66f0a5c93ed746b52316d20"},"source_occurrence_order":336,"source_path":"content/normal-modal-logic/frame-definability/properties-accessibility.tex","source_problem_id":"c80:OLP-0421:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":277,"sha256":"0a8abd3f2ceb0fabfa06bf55b17b3b053f945b704fe09fc4b644af70060947eb"},"byte_end_exclusive":8169,"byte_start":7892,"end_line":185,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":180},"target_file":{"bytes":8186,"sha256":"9e78ef6e940341f0edc354546b8947d56115802ae3dc43ccba3a8712dddf7e43"},"target_path":"locale/id/content/normal-modal-logic/frame-definability/properties-accessibility.tex"},"number":"50.3","physical_page":797,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","section_title_id":"Sifat Relasi Aksesibilitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0421:problem:003","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0421"},{"chapter":"main:50","component":"main","id":"c80:OLP-0423:problem:001:main-fol","local_reader_url":"reader.pdf#page=797","mapping":{"canonical_section_label":"nml:frd:def:sec","canonical_section_value":["50.4","666","Keterdefinisian Kerangka","section*.5525",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","combined_page":797,"destination":"probd*.5607","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0423","observed_import_path":"content/normal-modal-logic/frame-definability/definability.tex","occurrence_id":"c80:OLP-0423:problem:001:main-fol","printed_number":"50.4","source":{"block":{"bytes":379,"sha256":"1326113bfee2b88d9acbf2283fbf4fb7df91a18e8fd86642aa82d5592ce8365d"},"byte_end_exclusive":6090,"byte_start":5711,"end_line":126,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":119},"source_file":{"bytes":7953,"sha256":"072dfd4f743977f825a23d779ca9236013811255aee629948a92b96bfb4cbefd"},"source_occurrence_order":337,"source_path":"content/normal-modal-logic/frame-definability/definability.tex","source_problem_id":"c80:OLP-0423:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":393,"sha256":"f3c0fc75952bf2e88d3baccb403b6561a8f1fe1ea70bef7464f10dea10ebbabd"},"byte_end_exclusive":6492,"byte_start":6099,"end_line":130,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":123},"target_file":{"bytes":8376,"sha256":"c3e97a821266f535e3d4094e044889037c1105561ac48d0226f5438dbdb2ffcf"},"target_path":"locale/id/content/normal-modal-logic/frame-definability/definability.tex"},"number":"50.4","physical_page":797,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","section_title_id":"Keterdefinisian Kerangka","solution_state":"not_audited","source_problem_id":"c80:OLP-0423:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0423"},{"chapter":"main:50","component":"main","id":"c80:OLP-0423:problem:002:main-fol","local_reader_url":"reader.pdf#page=797","mapping":{"canonical_section_label":"nml:frd:def:sec","canonical_section_value":["50.4","666","Keterdefinisian Kerangka","section*.5525",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","combined_page":797,"destination":"probd*.5609","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0423","observed_import_path":"content/normal-modal-logic/frame-definability/definability.tex","occurrence_id":"c80:OLP-0423:problem:002:main-fol","printed_number":"50.5","source":{"block":{"bytes":77,"sha256":"af11933dc95b232968d617ce580a5d84cbcab3387dcd81d3c83021c15b4b5940"},"byte_end_exclusive":7933,"byte_start":7856,"end_line":165,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":163},"source_file":{"bytes":7953,"sha256":"072dfd4f743977f825a23d779ca9236013811255aee629948a92b96bfb4cbefd"},"source_occurrence_order":338,"source_path":"content/normal-modal-logic/frame-definability/definability.tex","source_problem_id":"c80:OLP-0423:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":78,"sha256":"e222afd5f48563a9c04e6f4a787d1d080ea48e18668867bf72c57e21d372661f"},"byte_end_exclusive":8359,"byte_start":8281,"end_line":167,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":165},"target_file":{"bytes":8376,"sha256":"c3e97a821266f535e3d4094e044889037c1105561ac48d0226f5438dbdb2ffcf"},"target_path":"locale/id/content/normal-modal-logic/frame-definability/definability.tex"},"number":"50.5","physical_page":797,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","section_title_id":"Keterdefinisian Kerangka","solution_state":"not_audited","source_problem_id":"c80:OLP-0423:problem:002","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0423"},{"chapter":"main:50","component":"main","id":"c80:OLP-0425:problem:001:main-fol","local_reader_url":"reader.pdf#page=797","mapping":{"canonical_section_label":"nml:frd:es5:sec","canonical_section_value":["50.6","669","Relasi Ekuivalensi dan \\Log {S5}","section*.5553",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","combined_page":797,"destination":"probd*.5611","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0425","observed_import_path":"content/normal-modal-logic/frame-definability/equivalence-S5.tex","occurrence_id":"c80:OLP-0425:problem:001:main-fol","printed_number":"50.6","source":{"block":{"bytes":508,"sha256":"aaa8537226711d5c1261c9e9a11839920a6dfab7d95cd93e8aef35e59f5491ff"},"byte_end_exclusive":2399,"byte_start":1891,"end_line":63,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":52},"source_file":{"bytes":5886,"sha256":"8e65223dede5d8d51bcb8416f051f72b483f092fbc48a78f7039be70ee13935d"},"source_occurrence_order":339,"source_path":"content/normal-modal-logic/frame-definability/equivalence-S5.tex","source_problem_id":"c80:OLP-0425:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":526,"sha256":"0e2152730371f219b7f81048b371015cf41663cb2414abd58b5fd335f8685e32"},"byte_end_exclusive":2395,"byte_start":1869,"end_line":60,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":49},"target_file":{"bytes":5995,"sha256":"de64afd02368b557256e6c17eac016a4b799de00f382605d4e84b7021c8462fa"},"target_path":"locale/id/content/normal-modal-logic/frame-definability/equivalence-S5.tex"},"number":"50.6","physical_page":797,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=797","section_title_id":"Relasi Ekuivalensi dan S5","solution_state":"not_audited","source_problem_id":"c80:OLP-0425:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0425"},{"chapter":"main:51","component":"main","id":"c80:OLP-0429:problem:001:main-fol","local_reader_url":"reader.pdf#page=815","mapping":{"canonical_section_label":"nml:prf:nor:sec","canonical_section_value":["51.2","675","Logika Modal Normal","section*.5629",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","combined_page":815,"destination":"probd*.5789","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0429","observed_import_path":"content/normal-modal-logic/axioms-systems/normal-logics.tex","occurrence_id":"c80:OLP-0429:problem:001:main-fol","printed_number":"51.1","source":{"block":{"bytes":76,"sha256":"6e581fd3317a9de16dd9a302fecfcdc0047dd3d458b9663988583852978f8497"},"byte_end_exclusive":3789,"byte_start":3713,"end_line":99,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":97},"source_file":{"bytes":4495,"sha256":"26665f5c6237cf0fa90f5ca122fd38e0278de2eb3e385ceaf656e8119de0b746"},"source_occurrence_order":340,"source_path":"content/normal-modal-logic/axioms-systems/normal-logics.tex","source_problem_id":"c80:OLP-0429:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":77,"sha256":"d2de948802370cce0cedc1d46f7df75119ebcd70e23d5f1ed8f50cbfb679fab9"},"byte_end_exclusive":3898,"byte_start":3821,"end_line":101,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":99},"target_file":{"bytes":4657,"sha256":"98c4d51443f1a29e1f197fd849b91097d1d0f944a6af97a304af3d4755c1f280"},"target_path":"locale/id/content/normal-modal-logic/axioms-systems/normal-logics.tex"},"number":"51.1","physical_page":815,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","section_title_id":"Logika Modal Normal","solution_state":"not_audited","source_problem_id":"c80:OLP-0429:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0429"},{"chapter":"main:51","component":"main","id":"c80:OLP-0431:problem:001:main-fol","local_reader_url":"reader.pdf#page=815","mapping":{"canonical_section_label":"nml:prf:prk:sec","canonical_section_value":["51.4","678","Pembuktian dalam \\Log {K}","section*.5663",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","combined_page":815,"destination":"probd*.5791","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0431","observed_import_path":"content/normal-modal-logic/axioms-systems/proofs-in-K.tex","occurrence_id":"c80:OLP-0431:problem:001:main-fol","printed_number":"51.2","source":{"block":{"bytes":281,"sha256":"b65510a0b40b25b6da16631510e82450d15956d3f4188e1b38f08d3de705c6aa"},"byte_end_exclusive":6586,"byte_start":6305,"end_line":157,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":150},"source_file":{"bytes":6606,"sha256":"2898ed73e8bfcfa8908ce113e21931f8d6f8f275e3bdfd0cb304aa907632d8dd"},"source_occurrence_order":341,"source_path":"content/normal-modal-logic/axioms-systems/proofs-in-K.tex","source_problem_id":"c80:OLP-0431:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":275,"sha256":"eba6d1720267a31038cce8b0fa34e3497fa6384c92f946c73da00b30fc257e38"},"byte_end_exclusive":6470,"byte_start":6195,"end_line":156,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":149},"target_file":{"bytes":6487,"sha256":"598ec6f4ae35c27aa5d54147f670eb60588ceb7d2f1bb8a6071b084180aaca89"},"target_path":"locale/id/content/normal-modal-logic/axioms-systems/proofs-in-K.tex"},"number":"51.2","physical_page":815,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","section_title_id":"Pembuktian dalam K","solution_state":"not_audited","source_problem_id":"c80:OLP-0431:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0431"},{"chapter":"main:51","component":"main","id":"c80:OLP-0432:problem:001:main-fol","local_reader_url":"reader.pdf#page=815","mapping":{"canonical_section_label":"nml:prf:der:sec","canonical_section_value":["51.5","680","Aturan Turunan","section*.5676",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","combined_page":815,"destination":"probd*.5796","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0432","observed_import_path":"content/normal-modal-logic/axioms-systems/derived-rules.tex","occurrence_id":"c80:OLP-0432:problem:001:main-fol","printed_number":"51.3","source":{"block":{"bytes":233,"sha256":"c7c70cbfb0e341678e36d86532af5ad0e0b92c6b83b62219b0022391a28d4893"},"byte_end_exclusive":2966,"byte_start":2733,"end_line":86,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":82},"source_file":{"bytes":6335,"sha256":"f1c5297ba77e51aa0d3311330a018d6e9edd0e002512f730ce32c18b75c47245"},"source_occurrence_order":342,"source_path":"content/normal-modal-logic/axioms-systems/derived-rules.tex","source_problem_id":"c80:OLP-0432:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":238,"sha256":"85970329c44c57307f5dcde015b9d25933035344b093563993611cc8a8e8cba6"},"byte_end_exclusive":3014,"byte_start":2776,"end_line":88,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":84},"target_file":{"bytes":6406,"sha256":"dd394a6acd3ce6100edd1808bd62fc893f7f7db6df4360de8a154a38969a5b83"},"target_path":"locale/id/content/normal-modal-logic/axioms-systems/derived-rules.tex"},"number":"51.3","physical_page":815,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","section_title_id":"Aturan Turunan","solution_state":"not_audited","source_problem_id":"c80:OLP-0432:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0432"},{"chapter":"main:51","component":"main","id":"c80:OLP-0433:problem:001:main-fol","local_reader_url":"reader.pdf#page=815","mapping":{"canonical_section_label":"nml:prf:mpr:sec","canonical_section_value":["51.6","681","Pembuktian Lain dalam \\Log {K}","section*.5695",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","combined_page":815,"destination":"probd*.5798","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0433","observed_import_path":"content/normal-modal-logic/axioms-systems/more-proofs-in-K.tex","occurrence_id":"c80:OLP-0433:problem:001:main-fol","printed_number":"51.4","source":{"block":{"bytes":373,"sha256":"bc4c0b39f01c68d8fc622d1e8b783c1bfa78aaadf7b8d4adc6896cd1cd89a15f"},"byte_end_exclusive":3628,"byte_start":3255,"end_line":99,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":89},"source_file":{"bytes":3648,"sha256":"b9162a0c9f7c828fefb03d65e0f8385aa3bfd4391256b63547752aa1363f1bfb"},"source_occurrence_order":343,"source_path":"content/normal-modal-logic/axioms-systems/more-proofs-in-K.tex","source_problem_id":"c80:OLP-0433:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":371,"sha256":"98712bd8ade1dc5640791ba56d2fb7442b431792fd9e9d7697ff4368fe7842a5"},"byte_end_exclusive":3587,"byte_start":3216,"end_line":98,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":88},"target_file":{"bytes":3605,"sha256":"812c83667179535d7c1452ba9ba73da66c9dc75bc6ce871d937bc2a5da37af7e"},"target_path":"locale/id/content/normal-modal-logic/axioms-systems/more-proofs-in-K.tex"},"number":"51.4","physical_page":815,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","section_title_id":"Pembuktian Lain dalam K","solution_state":"not_audited","source_problem_id":"c80:OLP-0433:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0433"},{"chapter":"main:51","component":"main","id":"c80:OLP-0434:problem:001:main-fol","local_reader_url":"reader.pdf#page=815","mapping":{"canonical_section_label":"nml:prf:dua:sec","canonical_section_value":["51.7","683","\\usetoken {P}{formula} Dual","section*.5708",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","combined_page":815,"destination":"probd*.5803","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0434","observed_import_path":"content/normal-modal-logic/axioms-systems/duals.tex","occurrence_id":"c80:OLP-0434:problem:001:main-fol","printed_number":"51.5","source":{"block":{"bytes":70,"sha256":"068825e55099f572a0773bbe24f25c2153b4864a9ed7150246c86011d9edbec3"},"byte_end_exclusive":1230,"byte_start":1160,"end_line":40,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":38},"source_file":{"bytes":1250,"sha256":"4f0c9ac68870b3fdaea3140aece1216922a75856066ba1ff7fbd1a45e7372408"},"source_occurrence_order":344,"source_path":"content/normal-modal-logic/axioms-systems/duals.tex","source_problem_id":"c80:OLP-0434:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":71,"sha256":"281fad4e45f225dccd9b4b878fd027cccd7cde5c41434bce0c087f0d8bfb4f92"},"byte_end_exclusive":1259,"byte_start":1188,"end_line":39,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":37},"target_file":{"bytes":1276,"sha256":"fbda9e9101a8d7ab71f17a3a6d9c1cafa790ea792bc2e2c2f21bdefdc69f06f7"},"target_path":"locale/id/content/normal-modal-logic/axioms-systems/duals.tex"},"number":"51.5","physical_page":815,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","section_title_id":"Formula Dual","solution_state":"not_audited","source_problem_id":"c80:OLP-0434:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0434"},{"chapter":"main:51","component":"main","id":"c80:OLP-0435:problem:001:main-fol","local_reader_url":"reader.pdf#page=815","mapping":{"canonical_section_label":"nml:prf:prs:sec","canonical_section_value":["51.8","683","Pembuktian dalam Sistem Modal","section*.5722",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","combined_page":815,"destination":"probd*.5805","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0435","observed_import_path":"content/normal-modal-logic/axioms-systems/proofs-modal-systems.tex","occurrence_id":"c80:OLP-0435:problem:001:main-fol","printed_number":"51.6","source":{"block":{"bytes":65,"sha256":"57927232b399f7b4bff9d851e21e23e4bb958e8acf9901adec40d7dcd6233e7c"},"byte_end_exclusive":4067,"byte_start":4002,"end_line":104,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":102},"source_file":{"bytes":4089,"sha256":"3489600c68c1c7ba7ea7dd17e194f984626ac182c05f2cd541a89157eb4411ac"},"source_occurrence_order":345,"source_path":"content/normal-modal-logic/axioms-systems/proofs-modal-systems.tex","source_problem_id":"c80:OLP-0435:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":66,"sha256":"8ff11c60710f910cb503ce87f7e5dd538bed5106fb412f47633a44a002a6585e"},"byte_end_exclusive":4032,"byte_start":3966,"end_line":104,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":102},"target_file":{"bytes":4050,"sha256":"9a4615c2e7646e9b3beabd87a722a0c14fd0047c794e6b66b352814f6223b321"},"target_path":"locale/id/content/normal-modal-logic/axioms-systems/proofs-modal-systems.tex"},"number":"51.6","physical_page":815,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","section_title_id":"Pembuktian dalam Sistem Modal","solution_state":"not_audited","source_problem_id":"c80:OLP-0435:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0435"},{"chapter":"main:51","component":"main","id":"c80:OLP-0437:problem:001:main-fol","local_reader_url":"reader.pdf#page=815","mapping":{"canonical_section_label":"nml:prf:dis:sec","canonical_section_value":["51.10","685","Menunjukkan bahwa Sistem-Sistem Berbeda","section*.5749",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","combined_page":815,"destination":"probd*.5807","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0437","observed_import_path":"content/normal-modal-logic/axioms-systems/systems-distinct.tex","occurrence_id":"c80:OLP-0437:problem:001:main-fol","printed_number":"51.7","source":{"block":{"bytes":125,"sha256":"841a9864d0627151cf862aff2e06c19dbf24c01ae56d0e4e1b0cb44407db28b7"},"byte_end_exclusive":5618,"byte_start":5493,"end_line":146,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":143},"source_file":{"bytes":5795,"sha256":"57c9746f7d2e1760bbe52ec023690e0c3c42a5e73e421bae868f29f1c804c9af"},"source_occurrence_order":346,"source_path":"content/normal-modal-logic/axioms-systems/systems-distinct.tex","source_problem_id":"c80:OLP-0437:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":156,"sha256":"07bf0558d3b437d213237504288ab5a55dc007fbdf87b04b282a54f263da2ba9"},"byte_end_exclusive":5730,"byte_start":5574,"end_line":148,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":144},"target_file":{"bytes":5909,"sha256":"fab68bf580fe8f95fde9a450fd07effe6c21d221f511d5e3f4db0ec00777cf9f"},"target_path":"locale/id/content/normal-modal-logic/axioms-systems/systems-distinct.tex"},"number":"51.7","physical_page":815,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","section_title_id":"Menunjukkan bahwa Sistem-Sistem Berbeda","solution_state":"not_audited","source_problem_id":"c80:OLP-0437:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0437"},{"chapter":"main:51","component":"main","id":"c80:OLP-0437:problem:002:main-fol","local_reader_url":"reader.pdf#page=815","mapping":{"canonical_section_label":"nml:prf:dis:sec","canonical_section_value":["51.10","685","Menunjukkan bahwa Sistem-Sistem Berbeda","section*.5749",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","combined_page":815,"destination":"probd*.5809","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0437","observed_import_path":"content/normal-modal-logic/axioms-systems/systems-distinct.tex","occurrence_id":"c80:OLP-0437:problem:002:main-fol","printed_number":"51.8","source":{"block":{"bytes":153,"sha256":"e6ab8bc965baf43be1f00536cdb95058fa963def03db189af8cf359bedeb9c7d"},"byte_end_exclusive":5775,"byte_start":5622,"end_line":151,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":148},"source_file":{"bytes":5795,"sha256":"57c9746f7d2e1760bbe52ec023690e0c3c42a5e73e421bae868f29f1c804c9af"},"source_occurrence_order":347,"source_path":"content/normal-modal-logic/axioms-systems/systems-distinct.tex","source_problem_id":"c80:OLP-0437:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":160,"sha256":"378f219b7ec2ecbd6336139915215946061e0ef1735f67853e5b183043fb9ec4"},"byte_end_exclusive":5892,"byte_start":5732,"end_line":153,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":150},"target_file":{"bytes":5909,"sha256":"fab68bf580fe8f95fde9a450fd07effe6c21d221f511d5e3f4db0ec00777cf9f"},"target_path":"locale/id/content/normal-modal-logic/axioms-systems/systems-distinct.tex"},"number":"51.8","physical_page":815,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=815","section_title_id":"Menunjukkan bahwa Sistem-Sistem Berbeda","solution_state":"not_audited","source_problem_id":"c80:OLP-0437:problem:002","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0437"},{"chapter":"main:52","component":"main","id":"c80:OLP-0443:problem:001:main-fol","local_reader_url":"reader.pdf#page=829","mapping":{"canonical_section_label":"nml:com:ccs:sec","canonical_section_value":["52.2","690","Himpunan Lengkap dan $\\Sigma $-Konsisten","section*.5812",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=829","combined_page":829,"destination":"probd*.5908","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0443","observed_import_path":"content/normal-modal-logic/completeness/complete-consistent-sets.tex","occurrence_id":"c80:OLP-0443:problem:001:main-fol","printed_number":"52.1","source":{"block":{"bytes":130,"sha256":"0814e6b3f8d7855907503f6b8f4845affaba5b5a401b5105e8c2fb349f405afa"},"byte_end_exclusive":6252,"byte_start":6122,"end_line":135,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":133},"source_file":{"bytes":6272,"sha256":"ad1e90f6a43ee549d4093244ecfdaea486413da09e24c0912463823f5251d6ee"},"source_occurrence_order":348,"source_path":"content/normal-modal-logic/completeness/complete-consistent-sets.tex","source_problem_id":"c80:OLP-0443:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":126,"sha256":"37cd7704ed883d4812119ebdd6664c3cc2a5c1cb3b6c1489184d2c9cc2a9931e"},"byte_end_exclusive":6649,"byte_start":6523,"end_line":136,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":134},"target_file":{"bytes":6666,"sha256":"65eb8dbe9236887c8f282de666a78d6247735079bcf6dd8b11a92960487f9fac"},"target_path":"locale/id/content/normal-modal-logic/completeness/complete-consistent-sets.tex"},"number":"52.1","physical_page":829,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=829","section_title_id":"Himpunan Lengkap dan -Konsisten","solution_state":"not_audited","source_problem_id":"c80:OLP-0443:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0443"},{"chapter":"main:52","component":"main","id":"c80:OLP-0445:problem:001:main-fol","local_reader_url":"reader.pdf#page=829","mapping":{"canonical_section_label":"nml:com:mod:sec","canonical_section_value":["52.4","692","Modalitas dan Himpunan Lengkap serta Konsisten","section*.5843",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=829","combined_page":829,"destination":"probd*.5910","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0445","observed_import_path":"content/normal-modal-logic/completeness/modalities-ccs.tex","occurrence_id":"c80:OLP-0445:problem:001:main-fol","printed_number":"52.2","source":{"block":{"bytes":528,"sha256":"dd5e32429da4c3c02a4d4cea58815b4ec4ad2103fca34948ef24f71f9b5a7ca5"},"byte_end_exclusive":10955,"byte_start":10427,"end_line":244,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":235},"source_file":{"bytes":10975,"sha256":"91e1e53bf83994ee0fa725946f68747aa9124a7786295bcc75daf7c2f12e1382"},"source_occurrence_order":349,"source_path":"content/normal-modal-logic/completeness/modalities-ccs.tex","source_problem_id":"c80:OLP-0445:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":583,"sha256":"32442580b24e0210accec4ed5fa2934bc3248d30ec6cd1e348551ca8b960696a"},"byte_end_exclusive":12018,"byte_start":11435,"end_line":253,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":244},"target_file":{"bytes":12035,"sha256":"461f8eb9ed9cfab6f07a9224dbc900aec4413469c772b299fcba8e114b1cfc5b"},"target_path":"locale/id/content/normal-modal-logic/completeness/modalities-ccs.tex"},"number":"52.2","physical_page":829,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=829","section_title_id":"Modalitas dan Himpunan Lengkap serta Konsisten","solution_state":"not_audited","source_problem_id":"c80:OLP-0445:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0445"},{"chapter":"main:52","component":"main","id":"c80:OLP-0447:problem:001:main-fol","local_reader_url":"reader.pdf#page=829","mapping":{"canonical_section_label":"nml:com:tru:sec","canonical_section_value":["52.6","695","Lema Kebenaran","section*.5867",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=829","combined_page":829,"destination":"probd*.5912","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0447","observed_import_path":"content/normal-modal-logic/completeness/truth-lemma.tex","occurrence_id":"c80:OLP-0447:problem:001:main-fol","printed_number":"52.3","source":{"block":{"bytes":173,"sha256":"70079f678a7c16a984e1240b951db30082db3af1df6e456472f4c86a44731a5b"},"byte_end_exclusive":7100,"byte_start":6927,"end_line":145,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":143},"source_file":{"bytes":7120,"sha256":"003bd77d987951f490d9cd42859c27156f89a86f69f97d63f9d39ddc88dda3ad"},"source_occurrence_order":350,"source_path":"content/normal-modal-logic/completeness/truth-lemma.tex","source_problem_id":"c80:OLP-0447:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":169,"sha256":"b6bfbe8bd3e493877eb6a997759078423beff2f1839fe0d4f99f38329717a04f"},"byte_end_exclusive":7973,"byte_start":7804,"end_line":153,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":151},"target_file":{"bytes":7990,"sha256":"bb536760e647aaaf8fa903e8918d1b5cf63699f9a3f14df8c301c37b39724ead"},"target_path":"locale/id/content/normal-modal-logic/completeness/truth-lemma.tex"},"number":"52.3","physical_page":829,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=829","section_title_id":"Lema Kebenaran","solution_state":"not_audited","source_problem_id":"c80:OLP-0447:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0447"},{"chapter":"main:53","component":"main","id":"c80:OLP-0453:problem:001:main-fol","local_reader_url":"reader.pdf#page=843","mapping":{"canonical_section_label":"nml:fil:fil:sec","canonical_section_value":["53.3","703","Filtrasi","section*.5923",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=843","combined_page":843,"destination":"probd*.6012","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0453","observed_import_path":"content/normal-modal-logic/filtrations/filtrations-def.tex","occurrence_id":"c80:OLP-0453:problem:001:main-fol","printed_number":"53.1","source":{"block":{"bytes":88,"sha256":"b44c28e8de0eab9b5f3a63ededf2168cafbb8567ad20583e4f3dbb5ada7608f7"},"byte_end_exclusive":7446,"byte_start":7358,"end_line":154,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":152},"source_file":{"bytes":8128,"sha256":"4544284c0506689d6ae806c8466d29e143908faaeccc4381fbb1820c98e8a955"},"source_occurrence_order":351,"source_path":"content/normal-modal-logic/filtrations/filtrations-def.tex","source_problem_id":"c80:OLP-0453:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":85,"sha256":"e3902e37d1cf3749e587f4e01699ad90141c009d01dcac8d07988cb5d493ac11"},"byte_end_exclusive":8127,"byte_start":8042,"end_line":169,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":167},"target_file":{"bytes":8885,"sha256":"89d740298188d666a029e16a75314e05eafe185fae856c9e4375a23014cb4c62"},"target_path":"locale/id/content/normal-modal-logic/filtrations/filtrations-def.tex"},"number":"53.1","physical_page":843,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=843","section_title_id":"Filtrasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0453:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0453"},{"chapter":"main:53","component":"main","id":"c80:OLP-0454:problem:001:main-fol","local_reader_url":"reader.pdf#page=843","mapping":{"canonical_section_label":"nml:fil:exf:sec","canonical_section_value":["53.4","704","Contoh Filtrasi","section*.5949",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=843","combined_page":843,"destination":"probd*.6014","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0454","observed_import_path":"content/normal-modal-logic/filtrations/examples-of-filtrations.tex","occurrence_id":"c80:OLP-0454:problem:001:main-fol","printed_number":"53.2","source":{"block":{"bytes":112,"sha256":"cf918491799a37e1d6b3ed843c974205ee26531b7d72013ddef19c3477e4372f"},"byte_end_exclusive":2775,"byte_start":2663,"end_line":66,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":64},"source_file":{"bytes":9839,"sha256":"12e9c2d37f31bd1989dbcacd02ac23ce26ea95f12eb4e79f33fb9d64b8edaff5"},"source_occurrence_order":352,"source_path":"content/normal-modal-logic/filtrations/examples-of-filtrations.tex","source_problem_id":"c80:OLP-0454:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":108,"sha256":"7bafeefef4793ecea0b254525f24fc53b987e764077ea5c8014868c7dd652fbc"},"byte_end_exclusive":2964,"byte_start":2856,"end_line":70,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":68},"target_file":{"bytes":10224,"sha256":"ef61662bf77f31f4ae3c02aa42e18cbd0f92f55134880a839da41cee8d6d93cf"},"target_path":"locale/id/content/normal-modal-logic/filtrations/examples-of-filtrations.tex"},"number":"53.2","physical_page":843,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=843","section_title_id":"Contoh Filtrasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0454:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0454"},{"chapter":"main:53","component":"main","id":"c80:OLP-0454:problem:002:main-fol","local_reader_url":"reader.pdf#page=843","mapping":{"canonical_section_label":"nml:fil:exf:sec","canonical_section_value":["53.4","704","Contoh Filtrasi","section*.5949",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=843","combined_page":843,"destination":"probd*.6016","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0454","observed_import_path":"content/normal-modal-logic/filtrations/examples-of-filtrations.tex","occurrence_id":"c80:OLP-0454:problem:002:main-fol","printed_number":"53.3","source":{"block":{"bytes":2620,"sha256":"9e8a362a89d8ad407312b5df386e98810996c9033a03440b98b788b6664b2e27"},"byte_end_exclusive":9819,"byte_start":7199,"end_line":226,"environment":"prob","environments":["center","tikzpicture"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":169},"source_file":{"bytes":9839,"sha256":"12e9c2d37f31bd1989dbcacd02ac23ce26ea95f12eb4e79f33fb9d64b8edaff5"},"source_occurrence_order":353,"source_path":"content/normal-modal-logic/filtrations/examples-of-filtrations.tex","source_problem_id":"c80:OLP-0454:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":2612,"sha256":"1ed48c140d06e42649fef82bbf2f4ae6ff24ba079fb7fcf82a31b3c09c3cd479"},"byte_end_exclusive":10207,"byte_start":7595,"end_line":232,"environment":"prob","environments":["center","tikzpicture"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":174},"target_file":{"bytes":10224,"sha256":"ef61662bf77f31f4ae3c02aa42e18cbd0f92f55134880a839da41cee8d6d93cf"},"target_path":"locale/id/content/normal-modal-logic/filtrations/examples-of-filtrations.tex"},"number":"53.3","physical_page":843,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=843","section_title_id":"Contoh Filtrasi","solution_state":"not_audited","source_problem_id":"c80:OLP-0454:problem:002","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0454"},{"chapter":"main:53","component":"main","id":"c80:OLP-0456:problem:001:main-fol","local_reader_url":"reader.pdf#page=844","mapping":{"canonical_section_label":"nml:fil:fmp:sec","canonical_section_value":["53.6","706","\\Log {K} dan \\Log {S5} Mempunyai Sifat Model Berhingga","section*.5969",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=844","combined_page":844,"destination":"probd*.6018","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0456","observed_import_path":"content/normal-modal-logic/filtrations/S5-fmp.tex","occurrence_id":"c80:OLP-0456:problem:001:main-fol","printed_number":"53.4","source":{"block":{"bytes":130,"sha256":"175c1b49f0b208cbeb00794d256e8e0f79153bcb820dc265c3fdd7492d532621"},"byte_end_exclusive":3264,"byte_start":3134,"end_line":82,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":79},"source_file":{"bytes":3428,"sha256":"ecc76c904a30e63e01617cc1f14f419d3b0a3f32095a51a60479439a093b66a4"},"source_occurrence_order":354,"source_path":"content/normal-modal-logic/filtrations/S5-fmp.tex","source_problem_id":"c80:OLP-0456:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":142,"sha256":"e4477de8693127560094eccfa73f2f88927c078c65ef2161beb6214f44320d43"},"byte_end_exclusive":3650,"byte_start":3508,"end_line":83,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":80},"target_file":{"bytes":3813,"sha256":"a319deb66509f78b56c89d2824315b362e83e336ad9a6ee2b5d0ee386602707b"},"target_path":"locale/id/content/normal-modal-logic/filtrations/S5-fmp.tex"},"number":"53.4","physical_page":844,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=844","section_title_id":"K dan S5 Mempunyai Sifat Model Berhingga","solution_state":"not_audited","source_problem_id":"c80:OLP-0456:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0456"},{"chapter":"main:53","component":"main","id":"c80:OLP-0456:problem:002:main-fol","local_reader_url":"reader.pdf#page=844","mapping":{"canonical_section_label":"nml:fil:fmp:sec","canonical_section_value":["53.6","706","\\Log {K} dan \\Log {S5} Mempunyai Sifat Model Berhingga","section*.5969",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=844","combined_page":844,"destination":"probd*.6020","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0456","observed_import_path":"content/normal-modal-logic/filtrations/S5-fmp.tex","occurrence_id":"c80:OLP-0456:problem:002:main-fol","printed_number":"53.5","source":{"block":{"bytes":140,"sha256":"6028eca28d6487d58d7f9fdf3a90f6e28cc89f22d0f73ab58e3d934d74c37afc"},"byte_end_exclusive":3408,"byte_start":3268,"end_line":87,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":84},"source_file":{"bytes":3428,"sha256":"ecc76c904a30e63e01617cc1f14f419d3b0a3f32095a51a60479439a093b66a4"},"source_occurrence_order":355,"source_path":"content/normal-modal-logic/filtrations/S5-fmp.tex","source_problem_id":"c80:OLP-0456:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":144,"sha256":"fd9bb5b08c0717d43d7fa21384ef98b216d688b06e86b244983b1a91e5e806fc"},"byte_end_exclusive":3796,"byte_start":3652,"end_line":88,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":85},"target_file":{"bytes":3813,"sha256":"a319deb66509f78b56c89d2824315b362e83e336ad9a6ee2b5d0ee386602707b"},"target_path":"locale/id/content/normal-modal-logic/filtrations/S5-fmp.tex"},"number":"53.5","physical_page":844,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=844","section_title_id":"K dan S5 Mempunyai Sifat Model Berhingga","solution_state":"not_audited","source_problem_id":"c80:OLP-0456:problem:002","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0456"},{"chapter":"main:53","component":"main","id":"c80:OLP-0458:problem:001:main-fol","local_reader_url":"reader.pdf#page=844","mapping":{"canonical_section_label":"nml:fil:acc:sec","canonical_section_value":["53.8","708","Filtrasi dan Sifat Relasi Aksesibilitas","section*.5985",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=844","combined_page":844,"destination":"probd*.6022","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0458","observed_import_path":"content/normal-modal-logic/filtrations/more-filtrations.tex","occurrence_id":"c80:OLP-0458:problem:001:main-fol","printed_number":"53.6","source":{"block":{"bytes":94,"sha256":"9c48d114e7bb7cd88c334098b678bed8986b3a52e1c5b6de6cb4153525979c98"},"byte_end_exclusive":5776,"byte_start":5682,"end_line":133,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":131},"source_file":{"bytes":5796,"sha256":"f210bbacff9f50e2c73f1496399316684eacdf3084c25177c7c99afb17c9fc76"},"source_occurrence_order":356,"source_path":"content/normal-modal-logic/filtrations/more-filtrations.tex","source_problem_id":"c80:OLP-0458:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":90,"sha256":"8a85b89d8c1f5a923b53028d2fe17fc74d9c3fad0b1525bf6a82e131d07efe4d"},"byte_end_exclusive":6005,"byte_start":5915,"end_line":135,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":133},"target_file":{"bytes":6022,"sha256":"e8481d09cd9151735a60b2a681fc2352f11d2cc6e0f42cf7cf7e8b188e32c292"},"target_path":"locale/id/content/normal-modal-logic/filtrations/more-filtrations.tex"},"number":"53.6","physical_page":844,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=844","section_title_id":"Filtrasi dan Sifat Relasi Aksesibilitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0458:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0458"},{"chapter":"main:53","component":"main","id":"c80:OLP-0459:problem:001:main-fol","local_reader_url":"reader.pdf#page=844","mapping":{"canonical_section_label":"nml:fil:euc:sec","canonical_section_value":["53.9","709","Filtrasi dari Model Euklidean","section*.5998",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=844","combined_page":844,"destination":"probd*.6024","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0459","observed_import_path":"content/normal-modal-logic/filtrations/euclidean-filtrations.tex","occurrence_id":"c80:OLP-0459:problem:001:main-fol","printed_number":"53.7","source":{"block":{"bytes":95,"sha256":"15f2e59af0aa5e9f30516e46dbb6795561d838f5e1d6d5a56135d7ef33c0b31f"},"byte_end_exclusive":5335,"byte_start":5240,"end_line":131,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":129},"source_file":{"bytes":5355,"sha256":"0fa161e75ec1d79490dd372c9b0dd1b85f737bc91eb0aeb026d6bb01109691bb"},"source_occurrence_order":357,"source_path":"content/normal-modal-logic/filtrations/euclidean-filtrations.tex","source_problem_id":"c80:OLP-0459:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":91,"sha256":"6cc2ed406ffa99dccf121a68af0e09cb2f54491dfa8550257ca1dd6f422f4707"},"byte_end_exclusive":5475,"byte_start":5384,"end_line":136,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":134},"target_file":{"bytes":5492,"sha256":"9fd0d0be11cbe640a64ac8f1c6e444ea47c712d6f3585e84bfc46cabcd8aaebe"},"target_path":"locale/id/content/normal-modal-logic/filtrations/euclidean-filtrations.tex"},"number":"53.7","physical_page":844,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=844","section_title_id":"Filtrasi dari Model Euklidean","solution_state":"not_audited","source_problem_id":"c80:OLP-0459:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0459"},{"chapter":"main:54","component":"main","id":"c80:OLP-0463:problem:001:main-fol","local_reader_url":"reader.pdf#page=862","mapping":{"canonical_section_label":"nml:tab:prk:sec","canonical_section_value":["54.3","715","\\usetoken {P}{tableau} bagi \\Log {K}","section*.6030",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=862","combined_page":862,"destination":"probd*.6130","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0463","observed_import_path":"content/normal-modal-logic/tableaux/proofs-in-K.tex","occurrence_id":"c80:OLP-0463:problem:001:main-fol","printed_number":"54.1","source":{"block":{"bytes":326,"sha256":"60ba09ffde2ae4f4c5262694ad09008aadf735e701d02c9f2c366026e8667596"},"byte_end_exclusive":3333,"byte_start":3007,"end_line":95,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":87},"source_file":{"bytes":3353,"sha256":"52457e85fa8c243deb71975c98d0f2065b4f4ca97e789d919c626242233e47d8"},"source_occurrence_order":358,"source_path":"content/normal-modal-logic/tableaux/proofs-in-K.tex","source_problem_id":"c80:OLP-0463:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":320,"sha256":"d7865f3a3697d538c2c65e5c52cdcc2d8b1f38e4b59eb9fc8d23c29c50d87420"},"byte_end_exclusive":3286,"byte_start":2966,"end_line":95,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":87},"target_file":{"bytes":3303,"sha256":"3a9e38d91a49e91bc0de18a8ababf53a1646e1de1eedbce93609d8cc8da8a035"},"target_path":"locale/id/content/normal-modal-logic/tableaux/proofs-in-K.tex"},"number":"54.1","physical_page":862,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=862","section_title_id":"Tableau bagi K","solution_state":"not_audited","source_problem_id":"c80:OLP-0463:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0463"},{"chapter":"main:54","component":"main","id":"c80:OLP-0464:problem:001:main-fol","local_reader_url":"reader.pdf#page=862","mapping":{"canonical_section_label":"nml:tab:sou:sec","canonical_section_value":["54.4","715","Kesahihan bagi \\Log {K}","section*.6035",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=862","combined_page":862,"destination":"probd*.6136","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0464","observed_import_path":"content/normal-modal-logic/tableaux/soundness.tex","occurrence_id":"c80:OLP-0464:problem:001:main-fol","printed_number":"54.2","source":{"block":{"bytes":93,"sha256":"d32c1785969019dcac3f7504a69c96a7f21c9226a4f74857cac34fa025213e84"},"byte_end_exclusive":12025,"byte_start":11932,"end_line":244,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":242},"source_file":{"bytes":12970,"sha256":"b3a655bec656a3f82a1006299ae5504ebfa769f8d3c9b5f45482a824df34d9c7"},"source_occurrence_order":359,"source_path":"content/normal-modal-logic/tableaux/soundness.tex","source_problem_id":"c80:OLP-0464:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":89,"sha256":"d5811ee6a2087aeb9d061a7662c4d0f963771fa5643c2b78344e769ab5a8bd9b"},"byte_end_exclusive":12802,"byte_start":12713,"end_line":258,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":256},"target_file":{"bytes":13803,"sha256":"a5e999234741617d6c894542c3206d065e605e9bb7b18c0d15838e4b9b0759f9"},"target_path":"locale/id/content/normal-modal-logic/tableaux/soundness.tex"},"number":"54.2","physical_page":862,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=862","section_title_id":"Kesahihan bagi K","solution_state":"not_audited","source_problem_id":"c80:OLP-0464:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0464"},{"chapter":"main:54","component":"main","id":"c80:OLP-0465:problem:001:main-fol","local_reader_url":"reader.pdf#page=862","mapping":{"canonical_section_label":"nml:tab:mru:sec","canonical_section_value":["54.5","718","Aturan bagi Relasi Aksesibilitas Lain","section*.6063",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=862","combined_page":862,"destination":"probd*.6138","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0465","observed_import_path":"content/normal-modal-logic/tableaux/more-rules.tex","occurrence_id":"c80:OLP-0465:problem:001:main-fol","printed_number":"54.3","source":{"block":{"bytes":337,"sha256":"145912849b68972ac5ea0f2fcd75d32aa8a6a6370f0bafe2d1f086e3fdc97afd"},"byte_end_exclusive":6218,"byte_start":5881,"end_line":196,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":186},"source_file":{"bytes":6238,"sha256":"ce3fa1be78da101bfc043015b365dd3d0487e8455179b26d3bf2aa4991bf8519"},"source_occurrence_order":360,"source_path":"content/normal-modal-logic/tableaux/more-rules.tex","source_problem_id":"c80:OLP-0465:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":340,"sha256":"726b25379e77a485a1970341ce910d62aceffafc8963328b05fd97fbaad2ba19"},"byte_end_exclusive":6105,"byte_start":5765,"end_line":196,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":186},"target_file":{"bytes":6122,"sha256":"5f3f2e0a110861b6e1e72f569f6f230b3f7feaceb8b1e12cdccfa9ba53cdbad1"},"target_path":"locale/id/content/normal-modal-logic/tableaux/more-rules.tex"},"number":"54.3","physical_page":862,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=862","section_title_id":"Aturan bagi Relasi Aksesibilitas Lain","solution_state":"not_audited","source_problem_id":"c80:OLP-0465:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0465"},{"chapter":"main:54","component":"main","id":"c80:OLP-0468:problem:001:main-fol","local_reader_url":"reader.pdf#page=862","mapping":{"canonical_section_label":"nml:tab:cpl:sec","canonical_section_value":["54.8","722","Kelengkapan bagi \\Log {K}","section*.6100",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=862","combined_page":862,"destination":"probd*.6146","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0468","observed_import_path":"content/normal-modal-logic/tableaux/completeness.tex","occurrence_id":"c80:OLP-0468:problem:001:main-fol","printed_number":"54.4","source":{"block":{"bytes":96,"sha256":"756434c7ce9e52f397dce1deefa51b41b5fad50cc888bd3955580d9303b39e3c"},"byte_end_exclusive":10132,"byte_start":10036,"end_line":218,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":216},"source_file":{"bytes":10378,"sha256":"228f8da4bd27b3d80700eb6306c9a1bbf1e8f1253e7252fb92f678e3a4f3622e"},"source_occurrence_order":361,"source_path":"content/normal-modal-logic/tableaux/completeness.tex","source_problem_id":"c80:OLP-0468:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":92,"sha256":"98a086048894b1ecdd3fa60a98ceeaa7844bb2225b38a4f92f7fea218e1a4c7b"},"byte_end_exclusive":10860,"byte_start":10768,"end_line":229,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":227},"target_file":{"bytes":11100,"sha256":"23ad551926c9ae2b57929e39080274674d522c1faa6047cf6114511e0aae8368"},"target_path":"locale/id/content/normal-modal-logic/tableaux/completeness.tex"},"number":"54.4","physical_page":862,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=862","section_title_id":"Kelengkapan bagi K","solution_state":"not_audited","source_problem_id":"c80:OLP-0468:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0468"},{"chapter":"main:55","component":"main","id":"c80:OLP-0473:problem:001:main-fol","local_reader_url":"reader.pdf#page=867","mapping":{"canonical_section_label":"nml:seq:prk:sec","canonical_section_value":["55.3","729","\\usetoken {P}{derivation} Sekuen bagi \\Log {K}","section*.6150",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=867","combined_page":867,"destination":"probd*.6166","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0473","observed_import_path":"content/normal-modal-logic/sequent-calculus/proofs-in-K.tex","occurrence_id":"c80:OLP-0473:problem:001:main-fol","printed_number":"55.1","source":{"block":{"bytes":333,"sha256":"483f664e7e3b753571826cccbf77493db0566f4889cf223898d1e8084104d28b"},"byte_end_exclusive":4201,"byte_start":3868,"end_line":126,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":117},"source_file":{"bytes":4221,"sha256":"ad4e6505acb27ac32066fc9db60be9aadb5508713d237bc6720db3253230c023"},"source_occurrence_order":362,"source_path":"content/normal-modal-logic/sequent-calculus/proofs-in-K.tex","source_problem_id":"c80:OLP-0473:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":328,"sha256":"81ec1d1aac7a607482077e3fbd8f3f251a6b7d7a9693c7a471a463947ffae0da"},"byte_end_exclusive":4072,"byte_start":3744,"end_line":126,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":117},"target_file":{"bytes":4090,"sha256":"8de04a43e80bc3c42d7485e3a7e80c753a37e2b7ff7d8a32776df9e7344918cf"},"target_path":"locale/id/content/normal-modal-logic/sequent-calculus/proofs-in-K.tex"},"number":"55.1","physical_page":867,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=867","section_title_id":"Derivasi Sekuen bagi K","solution_state":"not_audited","source_problem_id":"c80:OLP-0473:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0473"},{"chapter":"main:55","component":"main","id":"c80:OLP-0474:problem:001:main-fol","local_reader_url":"reader.pdf#page=867","mapping":{"canonical_section_label":"nml:seq:mru:sec","canonical_section_value":["55.4","730","Aturan bagi Relasi Aksesibilitas Lain","section*.6155",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=867","combined_page":867,"destination":"probd*.6172","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0474","observed_import_path":"content/normal-modal-logic/sequent-calculus/more-rules.tex","occurrence_id":"c80:OLP-0474:problem:001:main-fol","printed_number":"55.2","source":{"block":{"bytes":341,"sha256":"9b0f7f171f20c8629dc5953d739337a3d34f7af5dfb7a67c02e4188bd32d8c48"},"byte_end_exclusive":11277,"byte_start":10936,"end_line":362,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":352},"source_file":{"bytes":11297,"sha256":"d64fed4c7e8009fe3e860b1e7c9ffdea99fdf665bb10245f56b1d39616729665"},"source_occurrence_order":363,"source_path":"content/normal-modal-logic/sequent-calculus/more-rules.tex","source_problem_id":"c80:OLP-0474:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":342,"sha256":"05a31c615784ccd7d7563c1de023bbda68cf7a30a85078dea40d4cfe8aa6afd5"},"byte_end_exclusive":11019,"byte_start":10677,"end_line":362,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":352},"target_file":{"bytes":11036,"sha256":"f611488bebae74e9645c9f4133357e71e9a0a1e4eac89b69cc03d08f0989a5be"},"target_path":"locale/id/content/normal-modal-logic/sequent-calculus/more-rules.tex"},"number":"55.2","physical_page":867,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=867","section_title_id":"Aturan bagi Relasi Aksesibilitas Lain","solution_state":"not_audited","source_problem_id":"c80:OLP-0474:problem:001","source_reuse_count":1,"topic":"normal-modal-logic","unit_id":"OLP-0474"},{"chapter":"main:58","component":"main","id":"c80:OLP-0496:problem:001:main-fol","local_reader_url":"reader.pdf#page=899","mapping":{"canonical_section_label":"int:int:ntd:sec","canonical_section_value":["58.4","755","Deduksi Alami","section*.6380",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=899","combined_page":899,"destination":"probd*.6420","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0496","observed_import_path":"content/intuitionistic-logic/introduction/natural-deduction.tex","occurrence_id":"c80:OLP-0496:problem:001:main-fol","printed_number":"58.1","source":{"block":{"bytes":531,"sha256":"885195c6b9a2cd6e00d42b5594e4682f5e9fea8bb729b8da1deffacbceb72374"},"byte_end_exclusive":8624,"byte_start":8093,"end_line":259,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":248},"source_file":{"bytes":8644,"sha256":"ea21debccb1eb7c0cd694d8f1a44b26cc60933b041ecc9fb63d028c017baff93"},"source_occurrence_order":364,"source_path":"content/intuitionistic-logic/introduction/natural-deduction.tex","source_problem_id":"c80:OLP-0496:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":525,"sha256":"288b43140a6503994dbf777ddb87b2d171acd7c383caed4cfa0abf6970cf99d2"},"byte_end_exclusive":8684,"byte_start":8159,"end_line":258,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":246},"target_file":{"bytes":8701,"sha256":"94030fceb9659d0af9f704d71df91bc42677b90adf0fb0ba24c8e4ed81e6e295"},"target_path":"locale/id/content/intuitionistic-logic/introduction/natural-deduction.tex"},"number":"58.1","physical_page":899,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=899","section_title_id":"Deduksi Alami","solution_state":"not_audited","source_problem_id":"c80:OLP-0496:problem:001","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0496"},{"chapter":"main:59","component":"main","id":"c80:OLP-0500:problem:001:main-fol","local_reader_url":"reader.pdf#page=905","mapping":{"canonical_section_label":"int:sem:rel:sec","canonical_section_value":["59.2","761","\\usetoken {P}{relational model}","section*.6429",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=905","combined_page":905,"destination":"probd*.6479","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0500","observed_import_path":"content/intuitionistic-logic/semantics/relational-models.tex","occurrence_id":"c80:OLP-0500:problem:001:main-fol","printed_number":"59.1","source":{"block":{"bytes":152,"sha256":"aacf32a42cb4a3319dfec7946a758b6a524a41e10bd65fd6b8329fabc11a8546"},"byte_end_exclusive":2315,"byte_start":2163,"end_line":57,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":54},"source_file":{"bytes":2636,"sha256":"7bb9be4fdc50b55259d2ef4b2b1f5ac84432bed84d4c442097dc2327adee63e2"},"source_occurrence_order":365,"source_path":"content/intuitionistic-logic/semantics/relational-models.tex","source_problem_id":"c80:OLP-0500:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":168,"sha256":"115009d2684d98c28dc0ad61d084707ec6951187f34e174517e2baa3ba644d1d"},"byte_end_exclusive":2535,"byte_start":2367,"end_line":59,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":55},"target_file":{"bytes":2847,"sha256":"712f185e4cd9ea6b9c3ea53b12afb7afdfde4b3cb40f95cae07beeb710549d6c"},"target_path":"locale/id/content/intuitionistic-logic/semantics/relational-models.tex"},"number":"59.1","physical_page":905,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=905","section_title_id":"Model relasional","solution_state":"not_audited","source_problem_id":"c80:OLP-0500:problem:001","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0500"},{"chapter":"main:59","component":"main","id":"c80:OLP-0500:problem:002:main-fol","local_reader_url":"reader.pdf#page=905","mapping":{"canonical_section_label":"int:sem:rel:sec","canonical_section_value":["59.2","761","\\usetoken {P}{relational model}","section*.6429",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=905","combined_page":905,"destination":"probd*.6481","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0500","observed_import_path":"content/intuitionistic-logic/semantics/relational-models.tex","occurrence_id":"c80:OLP-0500:problem:002:main-fol","printed_number":"59.2","source":{"block":{"bytes":77,"sha256":"d40a930f7796709317a4fec86bdda8bfc1e8695578bcf52f38b4d79ce91ed940"},"byte_end_exclusive":2616,"byte_start":2539,"end_line":70,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":68},"source_file":{"bytes":2636,"sha256":"7bb9be4fdc50b55259d2ef4b2b1f5ac84432bed84d4c442097dc2327adee63e2"},"source_occurrence_order":366,"source_path":"content/intuitionistic-logic/semantics/relational-models.tex","source_problem_id":"c80:OLP-0500:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":78,"sha256":"5e2a3acc9036cb74e2424047ea9a5b74f2cbad498901bb131ff1f5e99830d520"},"byte_end_exclusive":2830,"byte_start":2752,"end_line":72,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":70},"target_file":{"bytes":2847,"sha256":"712f185e4cd9ea6b9c3ea53b12afb7afdfde4b3cb40f95cae07beeb710549d6c"},"target_path":"locale/id/content/intuitionistic-logic/semantics/relational-models.tex"},"number":"59.2","physical_page":905,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=905","section_title_id":"Model relasional","solution_state":"not_audited","source_problem_id":"c80:OLP-0500:problem:002","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0500"},{"chapter":"main:59","component":"main","id":"c80:OLP-0501:problem:001:main-fol","local_reader_url":"reader.pdf#page=905","mapping":{"canonical_section_label":"int:sem:sem:sec","canonical_section_value":["59.3","762","Gagasan Semantik","section*.6447",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=905","combined_page":905,"destination":"probd*.6483","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0501","observed_import_path":"content/intuitionistic-logic/semantics/semantic-notions.tex","occurrence_id":"c80:OLP-0501:problem:001:main-fol","printed_number":"59.3","source":{"block":{"bytes":72,"sha256":"ce07d4c5608e11b9bd6277ac8ac755532a10f666d36ec87c62a374ed2277ab57"},"byte_end_exclusive":1873,"byte_start":1801,"end_line":59,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":57},"source_file":{"bytes":2311,"sha256":"8fc3f75d83f575678fe70e461aa68cd26f4bdef975b9f62f2156c2243b715b7f"},"source_occurrence_order":367,"source_path":"content/intuitionistic-logic/semantics/semantic-notions.tex","source_problem_id":"c80:OLP-0501:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":72,"sha256":"b21a5d637b5e402b515bc5202ebe6560be6b67f54ccbe86f1ca7221e6f701446"},"byte_end_exclusive":2024,"byte_start":1952,"end_line":62,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":60},"target_file":{"bytes":2508,"sha256":"988cc40669abbbdff19342ed16155d13119af566811bddd4a960432c81ee8b82"},"target_path":"locale/id/content/intuitionistic-logic/semantics/semantic-notions.tex"},"number":"59.3","physical_page":905,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=905","section_title_id":"Gagasan Semantik","solution_state":"not_audited","source_problem_id":"c80:OLP-0501:problem:001","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0501"},{"chapter":"main:60","component":"main","id":"c80:OLP-0505:problem:001:main-fol","local_reader_url":"reader.pdf#page=913","mapping":{"canonical_section_label":"int:sc:snd:sec","canonical_section_value":["60.2","766","Kesahihan Deduksi Alami","section*.6492",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=913","combined_page":913,"destination":"probd*.6548","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0505","observed_import_path":"content/intuitionistic-logic/soundness-completeness/soundness-nd.tex","occurrence_id":"c80:OLP-0505:problem:001:main-fol","printed_number":"60.1","source":{"block":{"bytes":295,"sha256":"c9e2c399261f26cf93bf88b5836878c76a7082561f75b933bcb6d61ef57e0b8b"},"byte_end_exclusive":7097,"byte_start":6802,"end_line":141,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":136},"source_file":{"bytes":7460,"sha256":"980a33d9bb02f5b61c2e2e345fac6c86f6943984cde99eb504e1685927c98de9"},"source_occurrence_order":368,"source_path":"content/intuitionistic-logic/soundness-completeness/soundness-nd.tex","source_problem_id":"c80:OLP-0505:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":323,"sha256":"d106cbf4d9db8232ff803d93824c24213836f4cd0deed7ed0b97722e93d041fe"},"byte_end_exclusive":7497,"byte_start":7174,"end_line":152,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":145},"target_file":{"bytes":7849,"sha256":"c2d5184886d81aebebbee7da1d02ad62f102506c1da7bec1d45d76bdde41586c"},"target_path":"locale/id/content/intuitionistic-logic/soundness-completeness/soundness-nd.tex"},"number":"60.1","physical_page":913,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=913","section_title_id":"Kesahihan Deduksi Alami","solution_state":"not_audited","source_problem_id":"c80:OLP-0505:problem:001","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0505"},{"chapter":"main:60","component":"main","id":"c80:OLP-0505:problem:002:main-fol","local_reader_url":"reader.pdf#page=914","mapping":{"canonical_section_label":"int:sc:snd:sec","canonical_section_value":["60.2","766","Kesahihan Deduksi Alami","section*.6492",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","combined_page":914,"destination":"probd*.6550","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0505","observed_import_path":"content/intuitionistic-logic/soundness-completeness/soundness-nd.tex","occurrence_id":"c80:OLP-0505:problem:002:main-fol","printed_number":"60.2","source":{"block":{"bytes":339,"sha256":"189e6b4c998790d66f16494a85d3e1a901dcc7107ffe6cee477dfbe227618d14"},"byte_end_exclusive":7440,"byte_start":7101,"end_line":151,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":143},"source_file":{"bytes":7460,"sha256":"980a33d9bb02f5b61c2e2e345fac6c86f6943984cde99eb504e1685927c98de9"},"source_occurrence_order":369,"source_path":"content/intuitionistic-logic/soundness-completeness/soundness-nd.tex","source_problem_id":"c80:OLP-0505:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":333,"sha256":"0e7b20ae9e9520451316b60b35f18b0aa01b2dc49cbd585d8f92b95f5f5c8e74"},"byte_end_exclusive":7832,"byte_start":7499,"end_line":162,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":154},"target_file":{"bytes":7849,"sha256":"c2d5184886d81aebebbee7da1d02ad62f102506c1da7bec1d45d76bdde41586c"},"target_path":"locale/id/content/intuitionistic-logic/soundness-completeness/soundness-nd.tex"},"number":"60.2","physical_page":914,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","section_title_id":"Kesahihan Deduksi Alami","solution_state":"not_audited","source_problem_id":"c80:OLP-0505:problem:002","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0505"},{"chapter":"main:60","component":"main","id":"c80:OLP-0506:problem:001:main-fol","local_reader_url":"reader.pdf#page=914","mapping":{"canonical_section_label":"int:sc:lin:sec","canonical_section_value":["60.3","767","Lema Lindenbaum","section*.6506",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","combined_page":914,"destination":"probd*.6555","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0506","observed_import_path":"content/intuitionistic-logic/soundness-completeness/lindenbaum.tex","occurrence_id":"c80:OLP-0506:problem:001:main-fol","printed_number":"60.3","source":{"block":{"bytes":178,"sha256":"da7cb1c0e8d73d3076e862338ab8395c02972b6142e1a77c8c8f321c3e801c45"},"byte_end_exclusive":6604,"byte_start":6426,"end_line":140,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":136},"source_file":{"bytes":6624,"sha256":"ff9909c36e376dd22f5e0c3267081dae3d0ca453d59cb8e87cb942e894c7bd77"},"source_occurrence_order":370,"source_path":"content/intuitionistic-logic/soundness-completeness/lindenbaum.tex","source_problem_id":"c80:OLP-0506:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":191,"sha256":"a38c6ff58e352aa007a97919616c122439b3076577a399655af06fba2eb4e58f"},"byte_end_exclusive":7175,"byte_start":6984,"end_line":156,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":152},"target_file":{"bytes":7192,"sha256":"78eec9461acb577120b1afaba6472e3e6d5ef4f47426857e1ead432b38366002"},"target_path":"locale/id/content/intuitionistic-logic/soundness-completeness/lindenbaum.tex"},"number":"60.3","physical_page":914,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","section_title_id":"Lema Lindenbaum","solution_state":"not_audited","source_problem_id":"c80:OLP-0506:problem:001","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0506"},{"chapter":"main:60","component":"main","id":"c80:OLP-0509:problem:001:main-fol","local_reader_url":"reader.pdf#page=914","mapping":{"canonical_section_label":"int:sc:cpl:sec","canonical_section_value":["60.6","770","Teorema Kelengkapan","section*.6538",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","combined_page":914,"destination":"probd*.6557","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0509","observed_import_path":"content/intuitionistic-logic/soundness-completeness/completeness-thm.tex","occurrence_id":"c80:OLP-0509:problem:001:main-fol","printed_number":"60.4","source":{"block":{"bytes":236,"sha256":"43f8044ae30d7602866e62da8d85a360133deb98e9843a088ef4fd1f3619cd13"},"byte_end_exclusive":1230,"byte_start":994,"end_line":34,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":30},"source_file":{"bytes":1678,"sha256":"69539adf0a8b6d121ba810f2a1779191b382f96d874a9cb256aedfcc78ba5a65"},"source_occurrence_order":371,"source_path":"content/intuitionistic-logic/soundness-completeness/completeness-thm.tex","source_problem_id":"c80:OLP-0509:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":270,"sha256":"912fa1459fa00b937db86e03888a3ca8323aa681f2eadc793d2a17b78be3cb6d"},"byte_end_exclusive":1319,"byte_start":1049,"end_line":37,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":32},"target_file":{"bytes":1808,"sha256":"093226562531bd9021df01d4a26bbf76772f6a36b57865d2b31b9204ef2b66e1"},"target_path":"locale/id/content/intuitionistic-logic/soundness-completeness/completeness-thm.tex"},"number":"60.4","physical_page":914,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","section_title_id":"Teorema Kelengkapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0509:problem:001","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0509"},{"chapter":"main:60","component":"main","id":"c80:OLP-0509:problem:002:main-fol","local_reader_url":"reader.pdf#page=914","mapping":{"canonical_section_label":"int:sc:cpl:sec","canonical_section_value":["60.6","770","Teorema Kelengkapan","section*.6538",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","combined_page":914,"destination":"probd*.6559","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0509","observed_import_path":"content/intuitionistic-logic/soundness-completeness/completeness-thm.tex","occurrence_id":"c80:OLP-0509:problem:002:main-fol","printed_number":"60.5","source":{"block":{"bytes":269,"sha256":"a08b8bed33dc5b50d65e0135ae9e3ac16f11ae7a37636ea85f0ab341625b9418"},"byte_end_exclusive":1505,"byte_start":1236,"end_line":41,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":36},"source_file":{"bytes":1678,"sha256":"69539adf0a8b6d121ba810f2a1779191b382f96d874a9cb256aedfcc78ba5a65"},"source_occurrence_order":372,"source_path":"content/intuitionistic-logic/soundness-completeness/completeness-thm.tex","source_problem_id":"c80:OLP-0509:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":300,"sha256":"363a412dd5685ea3a631cbb64ea61ab13abe490afc6ee4b81413225e18c4bc7f"},"byte_end_exclusive":1621,"byte_start":1321,"end_line":45,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":39},"target_file":{"bytes":1808,"sha256":"093226562531bd9021df01d4a26bbf76772f6a36b57865d2b31b9204ef2b66e1"},"target_path":"locale/id/content/intuitionistic-logic/soundness-completeness/completeness-thm.tex"},"number":"60.5","physical_page":914,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","section_title_id":"Teorema Kelengkapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0509:problem:002","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0509"},{"chapter":"main:60","component":"main","id":"c80:OLP-0509:problem:003:main-fol","local_reader_url":"reader.pdf#page=914","mapping":{"canonical_section_label":"int:sc:cpl:sec","canonical_section_value":["60.6","770","Teorema Kelengkapan","section*.6538",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","combined_page":914,"destination":"probd*.6561","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0509","observed_import_path":"content/intuitionistic-logic/soundness-completeness/completeness-thm.tex","occurrence_id":"c80:OLP-0509:problem:003:main-fol","printed_number":"60.6","source":{"block":{"bytes":147,"sha256":"7a808b4163c4fc07e93b74b0e88d260079a5b7320fa89d6e314db77e55003891"},"byte_end_exclusive":1658,"byte_start":1511,"end_line":46,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":43},"source_file":{"bytes":1678,"sha256":"69539adf0a8b6d121ba810f2a1779191b382f96d874a9cb256aedfcc78ba5a65"},"source_occurrence_order":373,"source_path":"content/intuitionistic-logic/soundness-completeness/completeness-thm.tex","source_problem_id":"c80:OLP-0509:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":168,"sha256":"6ccae7cab353637c79f0c5170b2505505d47e9d4dacb934d2591371c83484ed9"},"byte_end_exclusive":1791,"byte_start":1623,"end_line":51,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":47},"target_file":{"bytes":1808,"sha256":"093226562531bd9021df01d4a26bbf76772f6a36b57865d2b31b9204ef2b66e1"},"target_path":"locale/id/content/intuitionistic-logic/soundness-completeness/completeness-thm.tex"},"number":"60.6","physical_page":914,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","section_title_id":"Teorema Kelengkapan","solution_state":"not_audited","source_problem_id":"c80:OLP-0509:problem:003","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0509"},{"chapter":"main:60","component":"main","id":"c80:OLP-0510:problem:001:main-fol","local_reader_url":"reader.pdf#page=914","mapping":{"canonical_section_label":"int:sc:dec:sec","canonical_section_value":["60.7","770","Keterputusan","section*.6542",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","combined_page":914,"destination":"probd*.6563","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0510","observed_import_path":"content/intuitionistic-logic/soundness-completeness/decidability.tex","occurrence_id":"c80:OLP-0510:problem:001:main-fol","printed_number":"60.7","source":{"block":{"bytes":214,"sha256":"e28d5d5ae24c37a46fb1afbedc1cc09a4f505d4fe5f14673641e344aed29ad40"},"byte_end_exclusive":1632,"byte_start":1418,"end_line":43,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":39},"source_file":{"bytes":1759,"sha256":"876f8ec6c5ebc2f8589ef6d9f31fb2e4976b0c09f7dae3c47dd872fe8c8e9cb2"},"source_occurrence_order":374,"source_path":"content/intuitionistic-logic/soundness-completeness/decidability.tex","source_problem_id":"c80:OLP-0510:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":209,"sha256":"2c571caa7ced63f154ef97f33ba60c489ea0caf4b1f57f71efccb96b2773a0a9"},"byte_end_exclusive":1736,"byte_start":1527,"end_line":48,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":44},"target_file":{"bytes":1856,"sha256":"b053f9e4a7d26940b5f8ac3a8f7dc01e483055a401c317e0c6b2fb8084e16fb5"},"target_path":"locale/id/content/intuitionistic-logic/soundness-completeness/decidability.tex"},"number":"60.7","physical_page":914,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=914","section_title_id":"Keterputusan","solution_state":"not_audited","source_problem_id":"c80:OLP-0510:problem:001","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0510"},{"chapter":"main:61","component":"main","id":"c80:OLP-0514:problem:001:main-fol","local_reader_url":"reader.pdf#page=922","mapping":{"canonical_section_label":"int:tab:prf:sec","canonical_section_value":["61.3","774","\\usetoken {P}{tableau} untuk Logika Intuisionistik","section*.6569",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=922","combined_page":922,"destination":"probd*.6600","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0514","observed_import_path":"content/intuitionistic-logic/tableaux/proofs.tex","occurrence_id":"c80:OLP-0514:problem:001:main-fol","printed_number":"61.1","source":{"block":{"bytes":345,"sha256":"ed7fc94cfe683c951699cf66c098fc3b699fdb4f8dccc90bf1af5420b8c4fcf1"},"byte_end_exclusive":1870,"byte_start":1525,"end_line":55,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"source_file":{"bytes":1890,"sha256":"10d9d4cd6d2ad3aa846946cffbc30ae21a0007ecc86a9e7863a2854460c79f39"},"source_occurrence_order":375,"source_path":"content/intuitionistic-logic/tableaux/proofs.tex","source_problem_id":"c80:OLP-0514:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":355,"sha256":"2aa736ce7c3d26f5e306eb20588d7700ffffcd6fdbb8ef4ffa265077e195bacd"},"byte_end_exclusive":1854,"byte_start":1499,"end_line":56,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"target_file":{"bytes":1871,"sha256":"432f46933c472d9e1769d0c1d29bc9f395ee084dfd886a3465f4a8fd56c13cca"},"target_path":"locale/id/content/intuitionistic-logic/tableaux/proofs.tex"},"number":"61.1","physical_page":922,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=922","section_title_id":"Tableau untuk Logika Intuisionistik","solution_state":"not_audited","source_problem_id":"c80:OLP-0514:problem:001","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0514"},{"chapter":"main:61","component":"main","id":"c80:OLP-0515:problem:001:main-fol","local_reader_url":"reader.pdf#page=922","mapping":{"canonical_section_label":"int:tab:sou:sec","canonical_section_value":["61.4","775","Kesahihan \\usetoken {P}{tableau} Intuisionistik","section*.6572",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=922","combined_page":922,"destination":"probd*.6606","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0515","observed_import_path":"content/intuitionistic-logic/tableaux/soundness.tex","occurrence_id":"c80:OLP-0515:problem:001:main-fol","printed_number":"61.2","source":{"block":{"bytes":93,"sha256":"3680ceb6e316fd3a18c41b8d54da683a881338c43adc6b27e1952fb10848cd62"},"byte_end_exclusive":9086,"byte_start":8993,"end_line":188,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":186},"source_file":{"bytes":10031,"sha256":"1961509cba1d253f52f6b490b934912b5c5e8c77e0b9e41d0e164922911ec41e"},"source_occurrence_order":376,"source_path":"content/intuitionistic-logic/tableaux/soundness.tex","source_problem_id":"c80:OLP-0515:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":84,"sha256":"3beab24bdbf74b15572e30b2235ae95b69e1566f6f5bf355e76abbf095b61a87"},"byte_end_exclusive":9940,"byte_start":9856,"end_line":211,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":209},"target_file":{"bytes":10941,"sha256":"05b9d3a8fa1737c30574afd80413c3352f996ce61d22c04423e6cbbf8f699e1e"},"target_path":"locale/id/content/intuitionistic-logic/tableaux/soundness.tex"},"number":"61.2","physical_page":922,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=922","section_title_id":"Kesahihan Tableau Intuisionistik","solution_state":"not_audited","source_problem_id":"c80:OLP-0515:problem:001","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0515"},{"chapter":"main:62","component":"main","id":"c80:OLP-0520:problem:001:main-fol","local_reader_url":"reader.pdf#page=929","mapping":{"canonical_section_label":"cnt:int:str:sec","canonical_section_value":["62.3","781","Kondisional Ketat","section*.6625",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=929","combined_page":929,"destination":"probd*.6645","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0520","observed_import_path":"content/counterfactuals/introduction/strict-conditional.tex","occurrence_id":"c80:OLP-0520:problem:001:main-fol","printed_number":"62.1","source":{"block":{"bytes":380,"sha256":"9893fef7ab487b22916164200217c898d1fb03e6aaac9e1db94c778d2832af11"},"byte_end_exclusive":2393,"byte_start":2013,"end_line":59,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":50},"source_file":{"bytes":4576,"sha256":"d7161a0cc90eb727ddcb99de1f20d04a13cd0c34c1813d6ff12a1ecbf41c4c34"},"source_occurrence_order":377,"source_path":"content/counterfactuals/introduction/strict-conditional.tex","source_problem_id":"c80:OLP-0520:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":374,"sha256":"2475c94b4c2edd220a141a739474d11a90a18b5af3ac881c0128f174fb69eaea"},"byte_end_exclusive":2449,"byte_start":2075,"end_line":59,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":50},"target_file":{"bytes":4762,"sha256":"8dfdb56c76417edd3836d337c722439dc9bf04b6b69776aa6a1f14eccc377077"},"target_path":"locale/id/content/counterfactuals/introduction/strict-conditional.tex"},"number":"62.1","physical_page":929,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=929","section_title_id":"Kondisional Ketat","solution_state":"not_audited","source_problem_id":"c80:OLP-0520:problem:001","source_reuse_count":1,"topic":"counterfactuals","unit_id":"OLP-0520"},{"chapter":"main:62","component":"main","id":"c80:OLP-0520:problem:002:main-fol","local_reader_url":"reader.pdf#page=930","mapping":{"canonical_section_label":"cnt:int:str:sec","canonical_section_value":["62.3","781","Kondisional Ketat","section*.6625",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=930","combined_page":930,"destination":"probd*.6651","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0520","observed_import_path":"content/counterfactuals/introduction/strict-conditional.tex","occurrence_id":"c80:OLP-0520:problem:002:main-fol","printed_number":"62.2","source":{"block":{"bytes":696,"sha256":"9c804920b4ee6981951148daeaec67a63d6ddba9cf5c2ff57a8cf35906ce65ba"},"byte_end_exclusive":3093,"byte_start":2397,"end_line":76,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":61},"source_file":{"bytes":4576,"sha256":"d7161a0cc90eb727ddcb99de1f20d04a13cd0c34c1813d6ff12a1ecbf41c4c34"},"source_occurrence_order":378,"source_path":"content/counterfactuals/introduction/strict-conditional.tex","source_problem_id":"c80:OLP-0520:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":709,"sha256":"09dc527b38f6ec5ecbb0a3f3ceccf224abd580cbf6deac6aa29ddda45decbf9f"},"byte_end_exclusive":3160,"byte_start":2451,"end_line":76,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":61},"target_file":{"bytes":4762,"sha256":"8dfdb56c76417edd3836d337c722439dc9bf04b6b69776aa6a1f14eccc377077"},"target_path":"locale/id/content/counterfactuals/introduction/strict-conditional.tex"},"number":"62.2","physical_page":930,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=930","section_title_id":"Kondisional Ketat","solution_state":"not_audited","source_problem_id":"c80:OLP-0520:problem:002","source_reuse_count":1,"topic":"counterfactuals","unit_id":"OLP-0520"},{"chapter":"main:62","component":"main","id":"c80:OLP-0520:problem:003:main-fol","local_reader_url":"reader.pdf#page=930","mapping":{"canonical_section_label":"cnt:int:str:sec","canonical_section_value":["62.3","781","Kondisional Ketat","section*.6625",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=930","combined_page":930,"destination":"probd*.6661","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0520","observed_import_path":"content/counterfactuals/introduction/strict-conditional.tex","occurrence_id":"c80:OLP-0520:problem:003:main-fol","printed_number":"62.3","source":{"block":{"bytes":328,"sha256":"1c84967346e2e8e121e46002820c741c526eb285bae0955658406d7a9346e159"},"byte_end_exclusive":4556,"byte_start":4228,"end_line":107,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":99},"source_file":{"bytes":4576,"sha256":"d7161a0cc90eb727ddcb99de1f20d04a13cd0c34c1813d6ff12a1ecbf41c4c34"},"source_occurrence_order":379,"source_path":"content/counterfactuals/introduction/strict-conditional.tex","source_problem_id":"c80:OLP-0520:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":338,"sha256":"42edcd612937d78b9cc3e640d17027ba45c280f14a3ebc4a4e59d2e51e4c9cf5"},"byte_end_exclusive":4745,"byte_start":4407,"end_line":108,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":3,"start_line":99},"target_file":{"bytes":4762,"sha256":"8dfdb56c76417edd3836d337c722439dc9bf04b6b69776aa6a1f14eccc377077"},"target_path":"locale/id/content/counterfactuals/introduction/strict-conditional.tex"},"number":"62.3","physical_page":930,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=930","section_title_id":"Kondisional Ketat","solution_state":"not_audited","source_problem_id":"c80:OLP-0520:problem:003","source_reuse_count":1,"topic":"counterfactuals","unit_id":"OLP-0520"},{"chapter":"main:63","component":"main","id":"c80:OLP-0527:problem:001:main-fol","local_reader_url":"reader.pdf#page=939","mapping":{"canonical_section_label":"cnt:min:tra:sec","canonical_section_value":["63.5","790","Transitivitas","section*.6691",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=939","combined_page":939,"destination":"probd*.6701","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0527","observed_import_path":"content/counterfactuals/minimal-change-semantics/transitivity.tex","occurrence_id":"c80:OLP-0527:problem:001:main-fol","printed_number":"63.1","source":{"block":{"bytes":119,"sha256":"dc17587e58a7ebae443b1244afd47d53004e6fdf23addccf3681e3c69b137c76"},"byte_end_exclusive":2285,"byte_start":2166,"end_line":50,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"source_file":{"bytes":3683,"sha256":"21f925395bcf6a63cb7f6e3241ed3aba231a0d80d03a602f21296d0b09e9342a"},"source_occurrence_order":380,"source_path":"content/counterfactuals/minimal-change-semantics/transitivity.tex","source_problem_id":"c80:OLP-0527:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":111,"sha256":"7581d0d483201605830162a551301d9ab4fcdb4580921f658abe793b46f537a1"},"byte_end_exclusive":2366,"byte_start":2255,"end_line":50,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":47},"target_file":{"bytes":3900,"sha256":"a61602d5eb867837ffc666b25e42bf6d75f527ef4383fe01231c850355521b51"},"target_path":"locale/id/content/counterfactuals/minimal-change-semantics/transitivity.tex"},"number":"63.1","physical_page":939,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=939","section_title_id":"Transitivitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0527:problem:001","source_reuse_count":1,"topic":"counterfactuals","unit_id":"OLP-0527"},{"chapter":"main:63","component":"main","id":"c80:OLP-0527:problem:002:main-fol","local_reader_url":"reader.pdf#page=939","mapping":{"canonical_section_label":"cnt:min:tra:sec","canonical_section_value":["63.5","790","Transitivitas","section*.6691",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=939","combined_page":939,"destination":"probd*.6703","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0527","observed_import_path":"content/counterfactuals/minimal-change-semantics/transitivity.tex","occurrence_id":"c80:OLP-0527:problem:002:main-fol","printed_number":"63.2","source":{"block":{"bytes":132,"sha256":"0c648de69f6be93093cc9de11e9e4a56a84467114f1af5e2c6c8ce342f07ee75"},"byte_end_exclusive":3185,"byte_start":3053,"end_line":69,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":66},"source_file":{"bytes":3683,"sha256":"21f925395bcf6a63cb7f6e3241ed3aba231a0d80d03a602f21296d0b09e9342a"},"source_occurrence_order":381,"source_path":"content/counterfactuals/minimal-change-semantics/transitivity.tex","source_problem_id":"c80:OLP-0527:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":135,"sha256":"fd6846b11068bdaca4178933a9bb5591fe20a3bd601390c5b7e412c17483440f"},"byte_end_exclusive":3316,"byte_start":3181,"end_line":69,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":66},"target_file":{"bytes":3900,"sha256":"a61602d5eb867837ffc666b25e42bf6d75f527ef4383fe01231c850355521b51"},"target_path":"locale/id/content/counterfactuals/minimal-change-semantics/transitivity.tex"},"number":"63.2","physical_page":939,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=939","section_title_id":"Transitivitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0527:problem:002","source_reuse_count":1,"topic":"counterfactuals","unit_id":"OLP-0527"},{"chapter":"main:63","component":"main","id":"c80:OLP-0527:problem:003:main-fol","local_reader_url":"reader.pdf#page=939","mapping":{"canonical_section_label":"cnt:min:tra:sec","canonical_section_value":["63.5","790","Transitivitas","section*.6691",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=939","combined_page":939,"destination":"probd*.6705","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0527","observed_import_path":"content/counterfactuals/minimal-change-semantics/transitivity.tex","occurrence_id":"c80:OLP-0527:problem:003:main-fol","printed_number":"63.3","source":{"block":{"bytes":474,"sha256":"0a346e965a549fae0e3fde91880b99bb3ebc9f731e0c08290963bae843c3baba"},"byte_end_exclusive":3663,"byte_start":3189,"end_line":79,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":71},"source_file":{"bytes":3683,"sha256":"21f925395bcf6a63cb7f6e3241ed3aba231a0d80d03a602f21296d0b09e9342a"},"source_occurrence_order":382,"source_path":"content/counterfactuals/minimal-change-semantics/transitivity.tex","source_problem_id":"c80:OLP-0527:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":565,"sha256":"94edf799cc0aed0e66ebb85e90e2d0573d139cb56e72bb59248e4cc7ffcb3b5f"},"byte_end_exclusive":3883,"byte_start":3318,"end_line":80,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":71},"target_file":{"bytes":3900,"sha256":"a61602d5eb867837ffc666b25e42bf6d75f527ef4383fe01231c850355521b51"},"target_path":"locale/id/content/counterfactuals/minimal-change-semantics/transitivity.tex"},"number":"63.3","physical_page":939,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=939","section_title_id":"Transitivitas","solution_state":"not_audited","source_problem_id":"c80:OLP-0527:problem:003","source_reuse_count":1,"topic":"counterfactuals","unit_id":"OLP-0527"},{"chapter":"main:65","component":"main","id":"c80:OLP-0541:problem:001:main-fol","local_reader_url":"reader.pdf#page=959","mapping":{"canonical_section_label":"sth:z:pairs:sec","canonical_section_value":["65.4","803","Pasangan","section*.6750",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=959","combined_page":959,"destination":"probd*.6783","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0541","observed_import_path":"content/set-theory/z/pairs.tex","occurrence_id":"c80:OLP-0541:problem:001:main-fol","printed_number":"65.1","source":{"block":{"bytes":90,"sha256":"a8fb542423307f34d682241e8bb3a8b6a380f86ebc8e7f754a5bc8eeb5792fc7"},"byte_end_exclusive":2202,"byte_start":2112,"end_line":54,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":52},"source_file":{"bytes":2590,"sha256":"6e386f6c7bb1e2a08dd198e5ad421083df93eb4273efa9370d92b5432d11843f"},"source_occurrence_order":383,"source_path":"content/set-theory/z/pairs.tex","source_problem_id":"c80:OLP-0541:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":99,"sha256":"064395bed9214a14aee308d0db2202e10614a1073f715fcd2f2be66a8d9d2dbe"},"byte_end_exclusive":2425,"byte_start":2326,"end_line":63,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":61},"target_file":{"bytes":2811,"sha256":"5e2b67fb366836a3d9dcd5b05a3d755fb52fa942977f79eaad20dcdb117569c1"},"target_path":"locale/id/content/set-theory/z/pairs.tex"},"number":"65.1","physical_page":959,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=959","section_title_id":"Pasangan","solution_state":"not_audited","source_problem_id":"c80:OLP-0541:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0541"},{"chapter":"main:65","component":"main","id":"c80:OLP-0541:problem:002:main-fol","local_reader_url":"reader.pdf#page=959","mapping":{"canonical_section_label":"sth:z:pairs:sec","canonical_section_value":["65.4","803","Pasangan","section*.6750",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=959","combined_page":959,"destination":"probd*.6785","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0541","observed_import_path":"content/set-theory/z/pairs.tex","occurrence_id":"c80:OLP-0541:problem:002:main-fol","printed_number":"65.2","source":{"block":{"bytes":109,"sha256":"383ba59e45de7978fc92d278f5be3568e926c07f5e43372907ffc3fad84ae708"},"byte_end_exclusive":2315,"byte_start":2206,"end_line":59,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":56},"source_file":{"bytes":2590,"sha256":"6e386f6c7bb1e2a08dd198e5ad421083df93eb4273efa9370d92b5432d11843f"},"source_occurrence_order":384,"source_path":"content/set-theory/z/pairs.tex","source_problem_id":"c80:OLP-0541:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":117,"sha256":"029dfc166e6e2821b3b65c93d5764d7ba8601aa5a8cc57b41cbe09bc0ac2c83d"},"byte_end_exclusive":2544,"byte_start":2427,"end_line":68,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":65},"target_file":{"bytes":2811,"sha256":"5e2b67fb366836a3d9dcd5b05a3d755fb52fa942977f79eaad20dcdb117569c1"},"target_path":"locale/id/content/set-theory/z/pairs.tex"},"number":"65.2","physical_page":959,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=959","section_title_id":"Pasangan","solution_state":"not_audited","source_problem_id":"c80:OLP-0541:problem:002","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0541"},{"chapter":"main:65","component":"main","id":"c80:OLP-0542:problem:001:main-fol","local_reader_url":"reader.pdf#page=960","mapping":{"canonical_section_label":"sth:z:power:sec","canonical_section_value":["65.5","804","Himpunan Kuasa","section*.6759",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=960","combined_page":960,"destination":"probd*.6787","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0542","observed_import_path":"content/set-theory/z/powerset.tex","occurrence_id":"c80:OLP-0542:problem:001:main-fol","printed_number":"65.3","source":{"block":{"bytes":184,"sha256":"4727daf5fe88dfaaf43511db958db0f76f4d38b01439728a7264854fcc50467b"},"byte_end_exclusive":2001,"byte_start":1817,"end_line":54,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":50},"source_file":{"bytes":2221,"sha256":"e4189963f1fa098226ec3ae72a660f56882350d3d8be819b6c5232663261e722"},"source_occurrence_order":385,"source_path":"content/set-theory/z/powerset.tex","source_problem_id":"c80:OLP-0542:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":193,"sha256":"496a7bffe1701e0578c6212a8d9c0f41ce02b178652a35cda05bf4ccd6a1070b"},"byte_end_exclusive":2174,"byte_start":1981,"end_line":57,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":53},"target_file":{"bytes":2399,"sha256":"d3c924e5d28c9693f4982a2414eea8e4fb3d772bda6a1da6b6ab3e1c268c6f2d"},"target_path":"locale/id/content/set-theory/z/powerset.tex"},"number":"65.3","physical_page":960,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=960","section_title_id":"Himpunan Kuasa","solution_state":"not_audited","source_problem_id":"c80:OLP-0542:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0542"},{"chapter":"main:65","component":"main","id":"c80:OLP-0542:problem:002:main-fol","local_reader_url":"reader.pdf#page=960","mapping":{"canonical_section_label":"sth:z:power:sec","canonical_section_value":["65.5","804","Himpunan Kuasa","section*.6759",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=960","combined_page":960,"destination":"probd*.6789","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0542","observed_import_path":"content/set-theory/z/powerset.tex","occurrence_id":"c80:OLP-0542:problem:002:main-fol","printed_number":"65.4","source":{"block":{"bytes":196,"sha256":"7596343a43169aebd9b6e364bb4d138571d66d8bc87d5f7f3f686bff3b07ad6c"},"byte_end_exclusive":2201,"byte_start":2005,"end_line":60,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":56},"source_file":{"bytes":2221,"sha256":"e4189963f1fa098226ec3ae72a660f56882350d3d8be819b6c5232663261e722"},"source_occurrence_order":386,"source_path":"content/set-theory/z/powerset.tex","source_problem_id":"c80:OLP-0542:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":206,"sha256":"a05eba4f0994e355dcd847447a33f85adb72e5c042a3e6b85dfc8d6cf67f4fa3"},"byte_end_exclusive":2382,"byte_start":2176,"end_line":63,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":59},"target_file":{"bytes":2399,"sha256":"d3c924e5d28c9693f4982a2414eea8e4fb3d772bda6a1da6b6ab3e1c268c6f2d"},"target_path":"locale/id/content/set-theory/z/powerset.tex"},"number":"65.4","physical_page":960,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=960","section_title_id":"Himpunan Kuasa","solution_state":"not_audited","source_problem_id":"c80:OLP-0542:problem:002","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0542"},{"chapter":"main:66","component":"main","id":"c80:OLP-0550:problem:001:main-fol","local_reader_url":"reader.pdf#page=974","mapping":{"canonical_section_label":"sth:ordinals:wo:sec","canonical_section_value":["66.3","810","Pengurutan Baik","section*.6793",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=974","combined_page":974,"destination":"probd*.6908","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0550","observed_import_path":"content/set-theory/ordinals/wo.tex","occurrence_id":"c80:OLP-0550:problem:001:main-fol","printed_number":"66.1","source":{"block":{"bytes":153,"sha256":"b7ff4a44e1a5f1326a0b1e2afc6e433055713c1aa5de97e0bc70ab28723382c2"},"byte_end_exclusive":837,"byte_start":684,"end_line":27,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":24},"source_file":{"bytes":2511,"sha256":"31ff99cf24d9c18e905626855bdb8c9bfeb7c2a5c2814387a6c36ccf54df0313"},"source_occurrence_order":387,"source_path":"content/set-theory/ordinals/wo.tex","source_problem_id":"c80:OLP-0550:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":165,"sha256":"2ad22c975227bc98395f4cf3d00bb90f902231439cd5709f8700971df79d1a35"},"byte_end_exclusive":915,"byte_start":750,"end_line":29,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":26},"target_file":{"bytes":2910,"sha256":"187a17a047394576b3f2183fc5e770f87684c5ee2721715fbd2a87ae0c20f545"},"target_path":"locale/id/content/set-theory/ordinals/wo.tex"},"number":"66.1","physical_page":974,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=974","section_title_id":"Pengurutan Baik","solution_state":"not_audited","source_problem_id":"c80:OLP-0550:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0550"},{"chapter":"main:66","component":"main","id":"c80:OLP-0551:problem:001:main-fol","local_reader_url":"reader.pdf#page=974","mapping":{"canonical_section_label":"sth:ordinals:iso:sec","canonical_section_value":["66.4","811","Isomorfisme Urutan","section*.6805",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=974","combined_page":974,"destination":"probd*.6910","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0551","observed_import_path":"content/set-theory/ordinals/iso.tex","occurrence_id":"c80:OLP-0551:problem:001:main-fol","printed_number":"66.2","source":{"block":{"bytes":73,"sha256":"b5f056f7992db774b07102341c7edb46eadbc614364d5ee77e108afd974f9feb"},"byte_end_exclusive":1202,"byte_start":1129,"end_line":32,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":30},"source_file":{"bytes":6759,"sha256":"eb57a72aed6e4ff2398fe8d9c52239c79d2578df37c5e4bb891568381a41cb39"},"source_occurrence_order":388,"source_path":"content/set-theory/ordinals/iso.tex","source_problem_id":"c80:OLP-0551:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":74,"sha256":"2016ce90d983dfc926bb0405eb4b3d45febcdb49c9e4090333255aebaa60ea1f"},"byte_end_exclusive":1383,"byte_start":1309,"end_line":34,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":32},"target_file":{"bytes":7550,"sha256":"8a4ff21d6b7bf77121c34faced9b1aa1cdb92d40aaec67c5520e2c30bbecfdb5"},"target_path":"locale/id/content/set-theory/ordinals/iso.tex"},"number":"66.2","physical_page":974,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=974","section_title_id":"Isomorfisme Urutan","solution_state":"not_audited","source_problem_id":"c80:OLP-0551:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0551"},{"chapter":"main:66","component":"main","id":"c80:OLP-0553:problem:001:main-fol","local_reader_url":"reader.pdf#page=974","mapping":{"canonical_section_label":"sth:ordinals:basic:sec","canonical_section_value":["66.6","813","Sifat-Sifat Dasar Ordinal","section*.6833",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=974","combined_page":974,"destination":"probd*.6912","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0553","observed_import_path":"content/set-theory/ordinals/basic.tex","occurrence_id":"c80:OLP-0553:problem:001:main-fol","printed_number":"66.3","source":{"block":{"bytes":130,"sha256":"0f4e4ff60f30cbcb0ea5cd4f888a2bba96005d25e65800bf45a47f14b16b0e70"},"byte_end_exclusive":5327,"byte_start":5197,"end_line":129,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":126},"source_file":{"bytes":8434,"sha256":"7a9d1d198227e2de1a2af719417ae7d81ffc2c727e6da7d992b194f44a7f19c1"},"source_occurrence_order":389,"source_path":"content/set-theory/ordinals/basic.tex","source_problem_id":"c80:OLP-0553:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":127,"sha256":"77230d5da706b17364deadba174195fd71446de6925be74864732fbd017bbd37"},"byte_end_exclusive":5763,"byte_start":5636,"end_line":136,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":133},"target_file":{"bytes":9234,"sha256":"e895b13d2266a0ac9fdd9d900dfdf1f8a5a32b99eb49f5b7ffa67964620063b3"},"target_path":"locale/id/content/set-theory/ordinals/basic.tex"},"number":"66.3","physical_page":974,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=974","section_title_id":"Sifat-Sifat Dasar Ordinal","solution_state":"not_audited","source_problem_id":"c80:OLP-0553:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0553"},{"chapter":"main:66","component":"main","id":"c80:OLP-0553:problem:002:main-fol","local_reader_url":"reader.pdf#page=974","mapping":{"canonical_section_label":"sth:ordinals:basic:sec","canonical_section_value":["66.6","813","Sifat-Sifat Dasar Ordinal","section*.6833",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=974","combined_page":974,"destination":"probd*.6914","exact_problem_labels":["sth:ordinals:basic:probunionordinalsordinal"],"fol_context":true,"native_unit_id":"OLP-0553","observed_import_path":"content/set-theory/ordinals/basic.tex","occurrence_id":"c80:OLP-0553:problem:002:main-fol","printed_number":"66.4","source":{"block":{"bytes":141,"sha256":"6378ee289999130a37d1156b6d741fb451198d9d718b678c2cd53aaf79d50192"},"byte_end_exclusive":8416,"byte_start":8275,"end_line":209,"environment":"prob","environments":[],"labels":["probunionordinalsordinal"],"literal_labels":[],"ordinal":2,"start_line":207},"source_file":{"bytes":8434,"sha256":"7a9d1d198227e2de1a2af719417ae7d81ffc2c727e6da7d992b194f44a7f19c1"},"source_occurrence_order":390,"source_path":"content/set-theory/ordinals/basic.tex","source_problem_id":"c80:OLP-0553:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":164,"sha256":"e527f20917c3a77f1b2a5e69cc919cc43846e7de107a1856c6bcfb2831ed62f4"},"byte_end_exclusive":9217,"byte_start":9053,"end_line":225,"environment":"prob","environments":[],"labels":["probunionordinalsordinal"],"literal_labels":[],"ordinal":2,"start_line":222},"target_file":{"bytes":9234,"sha256":"e895b13d2266a0ac9fdd9d900dfdf1f8a5a32b99eb49f5b7ffa67964620063b3"},"target_path":"locale/id/content/set-theory/ordinals/basic.tex"},"number":"66.4","physical_page":974,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=974","section_title_id":"Sifat-Sifat Dasar Ordinal","solution_state":"not_audited","source_problem_id":"c80:OLP-0553:problem:002","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0553"},{"chapter":"main:67","component":"main","id":"c80:OLP-0564:problem:001:main-fol","local_reader_url":"reader.pdf#page=983","mapping":{"canonical_section_label":"sth:spine:rank:sec","canonical_section_value":["67.6","825","Peringkat","section*.6966",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=983","combined_page":983,"destination":"probd*.6992","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0564","observed_import_path":"content/set-theory/spine/rank.tex","occurrence_id":"c80:OLP-0564:problem:001:main-fol","printed_number":"67.1","source":{"block":{"bytes":71,"sha256":"0a369a67185956ac47a41b8b20ddbb06e5c64264a1320a989ca2350029cb7209"},"byte_end_exclusive":730,"byte_start":659,"end_line":25,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":23},"source_file":{"bytes":5018,"sha256":"fa9b9faa09478d4d5d6e510c52a2d5752fa72985db8efaff4a432a0e24d81dd0"},"source_occurrence_order":391,"source_path":"content/set-theory/spine/rank.tex","source_problem_id":"c80:OLP-0564:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":71,"sha256":"cfa9fbd8dee8b12e00de950f3bbed0d44b4d35f335431f6ece974d2ae3b117b4"},"byte_end_exclusive":811,"byte_start":740,"end_line":25,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":23},"target_file":{"bytes":5453,"sha256":"8ef64db4c52c0a19e885823249e42f99f215f9e71ce2cc629c6054d465c51e39"},"target_path":"locale/id/content/set-theory/spine/rank.tex"},"number":"67.1","physical_page":983,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=983","section_title_id":"Peringkat","solution_state":"not_audited","source_problem_id":"c80:OLP-0564:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0564"},{"chapter":"main:67","component":"main","id":"c80:OLP-0564:problem:002:main-fol","local_reader_url":"reader.pdf#page=983","mapping":{"canonical_section_label":"sth:spine:rank:sec","canonical_section_value":["67.6","825","Peringkat","section*.6966",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=983","combined_page":983,"destination":"probd*.6994","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0564","observed_import_path":"content/set-theory/spine/rank.tex","occurrence_id":"c80:OLP-0564:problem:002:main-fol","printed_number":"67.2","source":{"block":{"bytes":124,"sha256":"00005a816522fa4502f96faaaaad5eebd044dba0e10283a8fca1b95567f2b529"},"byte_end_exclusive":1444,"byte_start":1320,"end_line":39,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":37},"source_file":{"bytes":5018,"sha256":"fa9b9faa09478d4d5d6e510c52a2d5752fa72985db8efaff4a432a0e24d81dd0"},"source_occurrence_order":392,"source_path":"content/set-theory/spine/rank.tex","source_problem_id":"c80:OLP-0564:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":128,"sha256":"efa0c673dc7edd4a6076310d3a2ced236e5b2019d503b6e7ac665efe0280268b"},"byte_end_exclusive":1583,"byte_start":1455,"end_line":46,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":43},"target_file":{"bytes":5453,"sha256":"8ef64db4c52c0a19e885823249e42f99f215f9e71ce2cc629c6054d465c51e39"},"target_path":"locale/id/content/set-theory/spine/rank.tex"},"number":"67.2","physical_page":983,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=983","section_title_id":"Peringkat","solution_state":"not_audited","source_problem_id":"c80:OLP-0564:problem:002","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0564"},{"chapter":"main:68","component":"main","id":"c80:OLP-0570:problem:001:main-fol","local_reader_url":"reader.pdf#page=996","mapping":{"canonical_section_label":"sth:replacement:absinf:sec","canonical_section_value":["68.5","831","Penggantian dan ``Ketakhinggaan Mutlak''","section*.7003",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=996","combined_page":996,"destination":"probd*.7037","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0570","observed_import_path":"content/set-theory/replacement/absinf.tex","occurrence_id":"c80:OLP-0570:problem:001:main-fol","printed_number":"68.1","source":{"block":{"bytes":65,"sha256":"e9d1dacee5dee4c7c8995eefde2373b9783337303142a16bab87a352cb8ae80a"},"byte_end_exclusive":4981,"byte_start":4916,"end_line":92,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":90},"source_file":{"bytes":5832,"sha256":"fd6cb8f41f12694c74f9cc52336851f0b04eee98efbcdad5b60300c2de0ebea2"},"source_occurrence_order":393,"source_path":"content/set-theory/replacement/absinf.tex","source_problem_id":"c80:OLP-0570:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":65,"sha256":"2c78d70d7f0adf8f96574774cc9e40c388ad17ce6bdeb0339fdf10fa0a8ee8bd"},"byte_end_exclusive":5578,"byte_start":5513,"end_line":101,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":99},"target_file":{"bytes":6543,"sha256":"d1b50ff6d366fc6c3fbbf35a817923f637eb43acbc7a26c679a72368f8968521"},"target_path":"locale/id/content/set-theory/replacement/absinf.tex"},"number":"68.1","physical_page":996,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=996","section_title_id":"Penggantian dan ``Ketakhinggaan Mutlak''","solution_state":"not_audited","source_problem_id":"c80:OLP-0570:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0570"},{"chapter":"main:68","component":"main","id":"c80:OLP-0573:problem:001:main-fol","local_reader_url":"reader.pdf#page=996","mapping":{"canonical_section_label":"sth:replacement:finiteaxiomatizability:sec","canonical_section_value":["68.8","836","Lampiran: Keteraksiomatisasian Berhingga","section*.7025",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=996","combined_page":996,"destination":"probd*.7039","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0573","observed_import_path":"content/set-theory/replacement/finiteaxiomatizability.tex","occurrence_id":"c80:OLP-0573:problem:001:main-fol","printed_number":"68.2","source":{"block":{"bytes":243,"sha256":"af59570cdd21d298742338c641274d32aa6488aaa8379254affcf94af46e46af"},"byte_end_exclusive":3968,"byte_start":3725,"end_line":51,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":49},"source_file":{"bytes":5143,"sha256":"52bd181678b672d154c59992f6be199144558fb717349a847ab6646b1accea44"},"source_occurrence_order":394,"source_path":"content/set-theory/replacement/finiteaxiomatizability.tex","source_problem_id":"c80:OLP-0573:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":251,"sha256":"5d675230d1726b3c6f2941cfd6fee269ce28271274cfdc204afdaa40bd3aac2a"},"byte_end_exclusive":4350,"byte_start":4099,"end_line":90,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":85},"target_file":{"bytes":5559,"sha256":"3010cd653fa87898d30e53633ede815a1c3a40728350252aa34b5035f564b7d8"},"target_path":"locale/id/content/set-theory/replacement/finiteaxiomatizability.tex"},"number":"68.2","physical_page":996,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=996","section_title_id":"Lampiran: Keteraksiomatisasian Berhingga","solution_state":"not_audited","source_problem_id":"c80:OLP-0573:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0573"},{"chapter":"main:68","component":"main","id":"c80:OLP-0573:problem:002:main-fol","local_reader_url":"reader.pdf#page=996","mapping":{"canonical_section_label":"sth:replacement:finiteaxiomatizability:sec","canonical_section_value":["68.8","836","Lampiran: Keteraksiomatisasian Berhingga","section*.7025",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=996","combined_page":996,"destination":"probd*.7041","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0573","observed_import_path":"content/set-theory/replacement/finiteaxiomatizability.tex","occurrence_id":"c80:OLP-0573:problem:002:main-fol","printed_number":"68.3","source":{"block":{"bytes":110,"sha256":"d54c9cd25c7433c2add4d40e27bc302c2e508a7859ed39664647876a00c802d3"},"byte_end_exclusive":4080,"byte_start":3970,"end_line":54,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":52},"source_file":{"bytes":5143,"sha256":"52bd181678b672d154c59992f6be199144558fb717349a847ab6646b1accea44"},"source_occurrence_order":395,"source_path":"content/set-theory/replacement/finiteaxiomatizability.tex","source_problem_id":"c80:OLP-0573:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":114,"sha256":"8cfe093524466f45d1012448f9331df9c3ac283afc265e19634c335ca67e48fb"},"byte_end_exclusive":4465,"byte_start":4351,"end_line":94,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":91},"target_file":{"bytes":5559,"sha256":"3010cd653fa87898d30e53633ede815a1c3a40728350252aa34b5035f564b7d8"},"target_path":"locale/id/content/set-theory/replacement/finiteaxiomatizability.tex"},"number":"68.3","physical_page":996,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=996","section_title_id":"Lampiran: Keteraksiomatisasian Berhingga","solution_state":"not_audited","source_problem_id":"c80:OLP-0573:problem:002","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0573"},{"chapter":"main:68","component":"main","id":"c80:OLP-0573:problem:003:main-fol","local_reader_url":"reader.pdf#page=996","mapping":{"canonical_section_label":"sth:replacement:finiteaxiomatizability:sec","canonical_section_value":["68.8","836","Lampiran: Keteraksiomatisasian Berhingga","section*.7025",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=996","combined_page":996,"destination":"probd*.7043","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0573","observed_import_path":"content/set-theory/replacement/finiteaxiomatizability.tex","occurrence_id":"c80:OLP-0573:problem:003:main-fol","printed_number":"68.4","source":{"block":{"bytes":230,"sha256":"4245d67fe464d51d30df502e9a60d907e9e354aa43f370a86365348804e9ab62"},"byte_end_exclusive":4312,"byte_start":4082,"end_line":57,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":55},"source_file":{"bytes":5143,"sha256":"52bd181678b672d154c59992f6be199144558fb717349a847ab6646b1accea44"},"source_occurrence_order":396,"source_path":"content/set-theory/replacement/finiteaxiomatizability.tex","source_problem_id":"c80:OLP-0573:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":232,"sha256":"a851c79eac856e8b5b62b85c79e089391b382e3c95a207236085af3ec30ffe15"},"byte_end_exclusive":4698,"byte_start":4466,"end_line":99,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":95},"target_file":{"bytes":5559,"sha256":"3010cd653fa87898d30e53633ede815a1c3a40728350252aa34b5035f564b7d8"},"target_path":"locale/id/content/set-theory/replacement/finiteaxiomatizability.tex"},"number":"68.4","physical_page":996,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=996","section_title_id":"Lampiran: Keteraksiomatisasian Berhingga","solution_state":"not_audited","source_problem_id":"c80:OLP-0573:problem:003","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0573"},{"chapter":"main:69","component":"main","id":"c80:OLP-0576:problem:001:main-fol","local_reader_url":"reader.pdf#page=1004","mapping":{"canonical_section_label":"sth:ord-arithmetic:add:sec","canonical_section_value":["69.2","838","Penjumlahan Ordinal","section*.7046",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1004","combined_page":1004,"destination":"probd*.7115","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0576","observed_import_path":"content/set-theory/ord-arithmetic/addition.tex","occurrence_id":"c80:OLP-0576:problem:001:main-fol","printed_number":"69.1","source":{"block":{"bytes":106,"sha256":"499f3577e23aa56dedf28fbe668ff1e0557866af82bc74de9c2f3ec8a0060a0b"},"byte_end_exclusive":8150,"byte_start":8044,"end_line":180,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":177},"source_file":{"bytes":9309,"sha256":"e812adca016fb2b68daed98ef2bc27f45e48a57ceeeb27d244ad5c92a453a6e6"},"source_occurrence_order":397,"source_path":"content/set-theory/ord-arithmetic/addition.tex","source_problem_id":"c80:OLP-0576:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":112,"sha256":"2a17d2b7ce71de0a690be094e3703683ec19e73496355924bd02a6c848777508"},"byte_end_exclusive":8305,"byte_start":8193,"end_line":190,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":187},"target_file":{"bytes":9472,"sha256":"8671b9806f62ccc2bb258f7640c7374ac631cd16ef98f64511cc6a09eb7e4644"},"target_path":"locale/id/content/set-theory/ord-arithmetic/addition.tex"},"number":"69.1","physical_page":1004,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1004","section_title_id":"Penjumlahan Ordinal","solution_state":"not_audited","source_problem_id":"c80:OLP-0576:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0576"},{"chapter":"main:69","component":"main","id":"c80:OLP-0577:problem:001:main-fol","local_reader_url":"reader.pdf#page=1004","mapping":{"canonical_section_label":"sth:ord-arithmetic:using-addition:sec","canonical_section_value":["69.3","841","Menggunakan Penjumlahan Ordinal","section*.7072",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1004","combined_page":1004,"destination":"probd*.7117","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0577","observed_import_path":"content/set-theory/ord-arithmetic/using-addition.tex","occurrence_id":"c80:OLP-0577:problem:001:main-fol","printed_number":"69.2","source":{"block":{"bytes":250,"sha256":"38b71936216223ab5f3944c12de78542a9e0d93d634960b506ed887ae9f90f67"},"byte_end_exclusive":2481,"byte_start":2231,"end_line":63,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":58},"source_file":{"bytes":4730,"sha256":"9641a137f0347689fad7fc04337f8889991e482c6179513c19a0bfbc619eaff1"},"source_occurrence_order":398,"source_path":"content/set-theory/ord-arithmetic/using-addition.tex","source_problem_id":"c80:OLP-0577:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":283,"sha256":"1452494b7e8bff04af90bdbf6f22e98718814a56a1b54e0d553a52fa685b1fa4"},"byte_end_exclusive":2744,"byte_start":2461,"end_line":67,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":62},"target_file":{"bytes":5045,"sha256":"45e6069f66d090dd763e8821b690f893b03db07821fc5a56ef0afda56c11d87c"},"target_path":"locale/id/content/set-theory/ord-arithmetic/using-addition.tex"},"number":"69.2","physical_page":1004,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1004","section_title_id":"Menggunakan Penjumlahan Ordinal","solution_state":"not_audited","source_problem_id":"c80:OLP-0577:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0577"},{"chapter":"main:69","component":"main","id":"c80:OLP-0578:problem:001:main-fol","local_reader_url":"reader.pdf#page=1004","mapping":{"canonical_section_label":"sth:ord-arithmetic:mult:sec","canonical_section_value":["69.4","842","Perkalian Ordinal","section*.7090",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1004","combined_page":1004,"destination":"probd*.7119","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0578","observed_import_path":"content/set-theory/ord-arithmetic/multiplication.tex","occurrence_id":"c80:OLP-0578:problem:001:main-fol","printed_number":"69.3","source":{"block":{"bytes":209,"sha256":"f4249fea0f0821ff21f59eb5c2f4d402b5a6b9498114fa8559f2eec600829b52"},"byte_end_exclusive":4048,"byte_start":3839,"end_line":109,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":103},"source_file":{"bytes":4066,"sha256":"eade2bc67a7dede697f1a89e0359c3ef4a1c52154bbcf4b1b45176f5d3742abb"},"source_occurrence_order":399,"source_path":"content/set-theory/ord-arithmetic/multiplication.tex","source_problem_id":"c80:OLP-0578:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":207,"sha256":"22d338c1ed1203a22693baf7b25a6ffca0879313c93653ff55f184d156bc292c"},"byte_end_exclusive":4166,"byte_start":3959,"end_line":111,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":105},"target_file":{"bytes":4183,"sha256":"9734a5b5fc670fc8f1674a695db6bdbea5e5514b5bf0beeca74f030a3723599e"},"target_path":"locale/id/content/set-theory/ord-arithmetic/multiplication.tex"},"number":"69.3","physical_page":1004,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1004","section_title_id":"Perkalian Ordinal","solution_state":"not_audited","source_problem_id":"c80:OLP-0578:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0578"},{"chapter":"main:69","component":"main","id":"c80:OLP-0579:problem:001:main-fol","local_reader_url":"reader.pdf#page=1004","mapping":{"canonical_section_label":"sth:ord-arithmetic:expo:sec","canonical_section_value":["69.5","843","Eksponensiasi Ordinal","section*.7110",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1004","combined_page":1004,"destination":"probd*.7121","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0579","observed_import_path":"content/set-theory/ord-arithmetic/exponentiation.tex","occurrence_id":"c80:OLP-0579:problem:001:main-fol","printed_number":"69.4","source":{"block":{"bytes":251,"sha256":"47c73b12d068ac55d509f614a24d3b8e9984f079d43b900255cca39055d57c0d"},"byte_end_exclusive":2703,"byte_start":2452,"end_line":57,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":52},"source_file":{"bytes":2721,"sha256":"965be29d6ab8e9aad3e56b319cc8ddfb3cd212e836092f061198fafb561ae6fc"},"source_occurrence_order":400,"source_path":"content/set-theory/ord-arithmetic/exponentiation.tex","source_problem_id":"c80:OLP-0579:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":284,"sha256":"28d96b1bc0692e5a30d93b307e60525b5d668a928c238166445efc875dde57e1"},"byte_end_exclusive":2937,"byte_start":2653,"end_line":60,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":55},"target_file":{"bytes":2954,"sha256":"500c9efd0b94c5c6c4f42642be2ea2f1cb24979ef7fce14a1ea3a90114559467"},"target_path":"locale/id/content/set-theory/ord-arithmetic/exponentiation.tex"},"number":"69.4","physical_page":1004,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1004","section_title_id":"Eksponensiasi Ordinal","solution_state":"not_audited","source_problem_id":"c80:OLP-0579:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0579"},{"chapter":"main:71","component":"main","id":"c80:OLP-0587:problem:001:main-fol","local_reader_url":"reader.pdf#page=1023","mapping":{"canonical_section_label":"sth:card-arithmetic:opps:sec","canonical_section_value":["71.1","852","Mendefinisikan Operasi Dasar","section*.7183",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1023","combined_page":1023,"destination":"probd*.7264","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0587","observed_import_path":"content/set-theory/card-arithmetic/opps.tex","occurrence_id":"c80:OLP-0587:problem:001:main-fol","printed_number":"71.1","source":{"block":{"bytes":277,"sha256":"35a26afec2a2e0805103f24ae9df533cdfea5926d42b6453ebc47aa4bdfdfb67"},"byte_end_exclusive":1229,"byte_start":952,"end_line":32,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":27},"source_file":{"bytes":5892,"sha256":"fe59199062c34a36e296a777ee0da52721751686f202735791a472d0a0906872"},"source_occurrence_order":401,"source_path":"content/set-theory/card-arithmetic/opps.tex","source_problem_id":"c80:OLP-0587:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":303,"sha256":"ac688786dd6ab27e11a383f105d06c3dcbac282b9084391b5245ef1c29b06697"},"byte_end_exclusive":1267,"byte_start":964,"end_line":32,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":27},"target_file":{"bytes":6238,"sha256":"c1affddfa0620a8ce845155fe982ee757575d9944d5f07c8ab1870cb1acbf755"},"target_path":"locale/id/content/set-theory/card-arithmetic/opps.tex"},"number":"71.1","physical_page":1023,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1023","section_title_id":"Mendefinisikan Operasi Dasar","solution_state":"not_audited","source_problem_id":"c80:OLP-0587:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0587"},{"chapter":"main:71","component":"main","id":"c80:OLP-0587:problem:002:main-fol","local_reader_url":"reader.pdf#page=1023","mapping":{"canonical_section_label":"sth:card-arithmetic:opps:sec","canonical_section_value":["71.1","852","Mendefinisikan Operasi Dasar","section*.7183",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1023","combined_page":1023,"destination":"probd*.7266","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0587","observed_import_path":"content/set-theory/card-arithmetic/opps.tex","occurrence_id":"c80:OLP-0587:problem:002:main-fol","printed_number":"71.2","source":{"block":{"bytes":82,"sha256":"07dcf953fe4f63690c96e027533f9c2cddd2aa686ff9dea20f945e2df6b02815"},"byte_end_exclusive":2558,"byte_start":2476,"end_line":62,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":60},"source_file":{"bytes":5892,"sha256":"fe59199062c34a36e296a777ee0da52721751686f202735791a472d0a0906872"},"source_occurrence_order":402,"source_path":"content/set-theory/card-arithmetic/opps.tex","source_problem_id":"c80:OLP-0587:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":87,"sha256":"9bbd409d075142583349e02469bb8024c5d28f36fbcc2226efa849d06cebb66b"},"byte_end_exclusive":2670,"byte_start":2583,"end_line":62,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":60},"target_file":{"bytes":6238,"sha256":"c1affddfa0620a8ce845155fe982ee757575d9944d5f07c8ab1870cb1acbf755"},"target_path":"locale/id/content/set-theory/card-arithmetic/opps.tex"},"number":"71.2","physical_page":1023,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1023","section_title_id":"Mendefinisikan Operasi Dasar","solution_state":"not_audited","source_problem_id":"c80:OLP-0587:problem:002","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0587"},{"chapter":"main:71","component":"main","id":"c80:OLP-0587:problem:003:main-fol","local_reader_url":"reader.pdf#page=1023","mapping":{"canonical_section_label":"sth:card-arithmetic:opps:sec","canonical_section_value":["71.1","852","Mendefinisikan Operasi Dasar","section*.7183",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1023","combined_page":1023,"destination":"probd*.7268","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0587","observed_import_path":"content/set-theory/card-arithmetic/opps.tex","occurrence_id":"c80:OLP-0587:problem:003:main-fol","printed_number":"71.3","source":{"block":{"bytes":189,"sha256":"49eb47287d93bd606db985888b8c6b6394486dd59b52a6b8bb5382b1b1b570ae"},"byte_end_exclusive":5874,"byte_start":5685,"end_line":149,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":144},"source_file":{"bytes":5892,"sha256":"fe59199062c34a36e296a777ee0da52721751686f202735791a472d0a0906872"},"source_occurrence_order":403,"source_path":"content/set-theory/card-arithmetic/opps.tex","source_problem_id":"c80:OLP-0587:problem:003","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":185,"sha256":"798a0439306b1433bff6c9c616a65472ce208480028f7379b1d71f504c1c0f33"},"byte_end_exclusive":6221,"byte_start":6036,"end_line":154,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":150},"target_file":{"bytes":6238,"sha256":"c1affddfa0620a8ce845155fe982ee757575d9944d5f07c8ab1870cb1acbf755"},"target_path":"locale/id/content/set-theory/card-arithmetic/opps.tex"},"number":"71.3","physical_page":1023,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1023","section_title_id":"Mendefinisikan Operasi Dasar","solution_state":"not_audited","source_problem_id":"c80:OLP-0587:problem:003","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0587"},{"chapter":"main:72","component":"main","id":"c80:OLP-0598:problem:001:main-fol","local_reader_url":"reader.pdf#page=1038","mapping":{"canonical_section_label":"sth:choice:justifications:sec","canonical_section_value":["72.6","866","Pertimbangan Intrinsik tentang Pilihan","section*.7310",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1038","combined_page":1038,"destination":"probd*.7355","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0598","observed_import_path":"content/set-theory/choice/justifications.tex","occurrence_id":"c80:OLP-0598:problem:001:main-fol","printed_number":"72.1","source":{"block":{"bytes":152,"sha256":"7ea9022dcc64b91699bc1459b11bc3e4b0c584bba916d4749cf612ddfa1df845"},"byte_end_exclusive":1589,"byte_start":1437,"end_line":41,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":38},"source_file":{"bytes":2735,"sha256":"4ad40cf83f5d5fe896183b2bdeb7c9cb2d3879aeb4b1bb4192607241e95c4ed8"},"source_occurrence_order":404,"source_path":"content/set-theory/choice/justifications.tex","source_problem_id":"c80:OLP-0598:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":179,"sha256":"e0e743466a1c65885f1ca9b615425e4121548e15fc54e8d55a3899362b3633a6"},"byte_end_exclusive":1743,"byte_start":1564,"end_line":41,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":37},"target_file":{"bytes":3095,"sha256":"f0748a7841958ffa2364ce2b7ded29144850e27331a11f2b220e2c1891ce54bc"},"target_path":"locale/id/content/set-theory/choice/justifications.tex"},"number":"72.1","physical_page":1038,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1038","section_title_id":"Pertimbangan Intrinsik tentang Pilihan","solution_state":"not_audited","source_problem_id":"c80:OLP-0598:problem:001","source_reuse_count":1,"topic":"set-theory","unit_id":"OLP-0598"},{"chapter":"main:73","component":"main","id":"c80:OLP-0605:problem:001:main-fol","local_reader_url":"reader.pdf#page=1064","mapping":{"canonical_section_label":"mod:prf:def:sec","canonical_section_value":["73.3","876","Menggunakan Definisi","section*.7360",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1064","combined_page":1064,"destination":"probd*.7425","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0605","observed_import_path":"content/methods/proofs/using-definitions.tex","occurrence_id":"c80:OLP-0605:problem:001:main-fol","printed_number":"73.1","source":{"block":{"bytes":222,"sha256":"724efc8e1ce6aa61a673499b2595f6398f24c415799d979f5145466ac859f145"},"byte_end_exclusive":5349,"byte_start":5127,"end_line":107,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":103},"source_file":{"bytes":5369,"sha256":"0496b9489f10eb402e2eb91b503c7b522c2e73349e1481ceb9781f2e191a3bce"},"source_occurrence_order":405,"source_path":"content/methods/proofs/using-definitions.tex","source_problem_id":"c80:OLP-0605:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":245,"sha256":"ecaef3d9d73d5b590c724daca44b2da36a5bf40c54342adb535088c4644db078"},"byte_end_exclusive":5656,"byte_start":5411,"end_line":115,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":110},"target_file":{"bytes":5673,"sha256":"73d932759b74ee767f37ca41672df3103095c115664de02503d71a43e657be27"},"target_path":"locale/id/content/methods/proofs/using-definitions.tex"},"number":"73.1","physical_page":1064,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1064","section_title_id":"Menggunakan Definisi","solution_state":"not_audited","source_problem_id":"c80:OLP-0605:problem:001","source_reuse_count":1,"topic":"methods","unit_id":"OLP-0605"},{"chapter":"main:73","component":"main","id":"c80:OLP-0609:problem:001:main-fol","local_reader_url":"reader.pdf#page=1064","mapping":{"canonical_section_label":"mth:prf:con:sec","canonical_section_value":["73.7","887","Pembuktian dengan Kontradiksi","section*.7398",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1064","combined_page":1064,"destination":"probd*.7427","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0609","observed_import_path":"content/methods/proofs/proof-by-contradiction.tex","occurrence_id":"c80:OLP-0609:problem:001:main-fol","printed_number":"73.2","source":{"block":{"bytes":78,"sha256":"e57dee36c886de7d49bc0f5a7d3c7d6fa700d26107cb46d552d86faab893f07e"},"byte_end_exclusive":7129,"byte_start":7051,"end_line":149,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":147},"source_file":{"bytes":9908,"sha256":"3eda384520d99069031c01f168564f639980118e7fd145ca105e8092fbe438dd"},"source_occurrence_order":406,"source_path":"content/methods/proofs/proof-by-contradiction.tex","source_problem_id":"c80:OLP-0609:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":91,"sha256":"f66dd667897fc07fe441e10f31e4655fed2aa613f4619700bd11dacf302ee604"},"byte_end_exclusive":7883,"byte_start":7792,"end_line":161,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":159},"target_file":{"bytes":11089,"sha256":"211471f997059e4b757a02d5da1c8027c05a0afedadaa70b32f98df5d7b96462"},"target_path":"locale/id/content/methods/proofs/proof-by-contradiction.tex"},"number":"73.2","physical_page":1064,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1064","section_title_id":"Pembuktian dengan Kontradiksi","solution_state":"not_audited","source_problem_id":"c80:OLP-0609:problem:001","source_reuse_count":1,"topic":"methods","unit_id":"OLP-0609"},{"chapter":"main:73","component":"main","id":"c80:OLP-0610:problem:001:main-fol","local_reader_url":"reader.pdf#page=1065","mapping":{"canonical_section_label":"mth:prf:rea:sec","canonical_section_value":["73.8","890","Membaca Bukti","section*.7411",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1065","combined_page":1065,"destination":"probd*.7429","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0610","observed_import_path":"content/methods/proofs/reading-proofs.tex","occurrence_id":"c80:OLP-0610:problem:001:main-fol","printed_number":"73.3","source":{"block":{"bytes":437,"sha256":"8327b27aa513f47bc69b2d4a6801c419058f54a7f58b5128afb66b9d3a218dab"},"byte_end_exclusive":4976,"byte_start":4539,"end_line":109,"environment":"prob","environments":["proof"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":99},"source_file":{"bytes":4996,"sha256":"e7c40a1f3481f3529d96e136191c8b9c98b27080ddae1a9cec732d0301775670"},"source_occurrence_order":407,"source_path":"content/methods/proofs/reading-proofs.tex","source_problem_id":"c80:OLP-0610:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":462,"sha256":"9d3df31748fbe75824be37351f2259a4749eae7b87a5faed8972724a431d4392"},"byte_end_exclusive":5432,"byte_start":4970,"end_line":116,"environment":"prob","environments":["proof"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":106},"target_file":{"bytes":5449,"sha256":"70f692964afd1c1da8a1d057e9dce1c55b36859f17b4b6c2e49bd4e7bc28dd9d"},"target_path":"locale/id/content/methods/proofs/reading-proofs.tex"},"number":"73.3","physical_page":1065,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1065","section_title_id":"Membaca Bukti","solution_state":"not_audited","source_problem_id":"c80:OLP-0610:problem:001","source_reuse_count":1,"topic":"methods","unit_id":"OLP-0610"},{"chapter":"main:74","component":"main","id":"c80:OLP-0617:problem:001:main-fol","local_reader_url":"reader.pdf#page=1077","mapping":{"canonical_section_label":"mth:ind:idf:sec","canonical_section_value":["74.4","896","Definisi Induktif","section*.7447",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1077","combined_page":1077,"destination":"probd*.7493","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0617","observed_import_path":"content/methods/induction/inductive-definitions.tex","occurrence_id":"c80:OLP-0617:problem:001:main-fol","printed_number":"74.1","source":{"block":{"bytes":478,"sha256":"cf61587b266b983c1b73200744b6bba6518d9a6a10fc735c711b7d34af796bff"},"byte_end_exclusive":6983,"byte_start":6505,"end_line":152,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":140},"source_file":{"bytes":7003,"sha256":"c9acf225c06feb663a8cc96b505782decfb70d12dd2f76d3cde0627a5b3ea8e1"},"source_occurrence_order":408,"source_path":"content/methods/induction/inductive-definitions.tex","source_problem_id":"c80:OLP-0617:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":592,"sha256":"bb20b536984427b2a4f154e636fc447d9ab7c299f26314728bf206f6a747ed6f"},"byte_end_exclusive":7622,"byte_start":7030,"end_line":159,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":146},"target_file":{"bytes":7639,"sha256":"c3adc1a2d10a144ec45130dd39eb8ebde56ee8ccc6cebc32515fec7a84b220b0"},"target_path":"locale/id/content/methods/induction/inductive-definitions.tex"},"number":"74.1","physical_page":1077,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1077","section_title_id":"Definisi Induktif","solution_state":"not_audited","source_problem_id":"c80:OLP-0617:problem:001","source_reuse_count":1,"topic":"methods","unit_id":"OLP-0617"},{"chapter":"main:74","component":"main","id":"c80:OLP-0618:problem:001:main-fol","local_reader_url":"reader.pdf#page=1078","mapping":{"canonical_section_label":"mth:ind:sti:sec","canonical_section_value":["74.5","898","Induksi Struktural","section*.7458",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1078","combined_page":1078,"destination":"probd*.7499","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0618","observed_import_path":"content/methods/induction/structural-induction.tex","occurrence_id":"c80:OLP-0618:problem:001:main-fol","printed_number":"74.2","source":{"block":{"bytes":92,"sha256":"682e5259e278ee9a51f4798263d0d9bca869235fb4aa7260c9441c6af79d6c88"},"byte_end_exclusive":2653,"byte_start":2561,"end_line":66,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":64},"source_file":{"bytes":4589,"sha256":"b4cbd21821127a8c6d55063e229d17e4f3ee74b5208769f317192da94df54428"},"source_occurrence_order":409,"source_path":"content/methods/induction/structural-induction.tex","source_problem_id":"c80:OLP-0618:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":114,"sha256":"3115d92b25410a488850bf075b102091f2c86641f904bbe3b1933570d86b038f"},"byte_end_exclusive":2819,"byte_start":2705,"end_line":68,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":65},"target_file":{"bytes":4935,"sha256":"97fe1588ba98b4220410b3f75bb8983081747c669c4c86489b9f64e4e4a31192"},"target_path":"locale/id/content/methods/induction/structural-induction.tex"},"number":"74.2","physical_page":1078,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1078","section_title_id":"Induksi Struktural","solution_state":"not_audited","source_problem_id":"c80:OLP-0618:problem:001","source_reuse_count":1,"topic":"methods","unit_id":"OLP-0618"},{"chapter":"main:74","component":"main","id":"c80:OLP-0619:problem:001:main-fol","local_reader_url":"reader.pdf#page=1078","mapping":{"canonical_section_label":"mth:ind:rel:sec","canonical_section_value":["74.6","899","Relasi dan Fungsi","section*.7476",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1078","combined_page":1078,"destination":"probd*.7501","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0619","observed_import_path":"content/methods/induction/relations.tex","occurrence_id":"c80:OLP-0619:problem:001:main-fol","printed_number":"74.3","source":{"block":{"bytes":140,"sha256":"938b0f5be6edcde9dde9bf1a5066dff56569c887d0429eec29c84708f6972d15"},"byte_end_exclusive":7306,"byte_start":7166,"end_line":173,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":170},"source_file":{"bytes":7557,"sha256":"7361c3481d3028c64b48e89a1b784e6cc827acd5aafc7273664ba999a9668c7e"},"source_occurrence_order":410,"source_path":"content/methods/induction/relations.tex","source_problem_id":"c80:OLP-0619:problem:001","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":132,"sha256":"1a4cb651eb246d5607f6260f19d593a2fc452e8ddc0dd4914041e81d449064c6"},"byte_end_exclusive":7943,"byte_start":7811,"end_line":182,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":179},"target_file":{"bytes":8223,"sha256":"4925004a1d8947033fd34b935956a0f794ebaad3e88f794c10afb30db5e4ce8a"},"target_path":"locale/id/content/methods/induction/relations.tex"},"number":"74.3","physical_page":1078,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1078","section_title_id":"Relasi dan Fungsi","solution_state":"not_audited","source_problem_id":"c80:OLP-0619:problem:001","source_reuse_count":1,"topic":"methods","unit_id":"OLP-0619"},{"chapter":"main:74","component":"main","id":"c80:OLP-0619:problem:002:main-fol","local_reader_url":"reader.pdf#page=1078","mapping":{"canonical_section_label":"mth:ind:rel:sec","canonical_section_value":["74.6","899","Relasi dan Fungsi","section*.7476",""],"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1078","combined_page":1078,"destination":"probd*.7503","exact_problem_labels":[],"fol_context":true,"native_unit_id":"OLP-0619","observed_import_path":"content/methods/induction/relations.tex","occurrence_id":"c80:OLP-0619:problem:002:main-fol","printed_number":"74.4","source":{"block":{"bytes":227,"sha256":"2e5f5f24d43336d750c14700fb30ee12413c7e7656f2402a52beb91cd679b2b4"},"byte_end_exclusive":7537,"byte_start":7310,"end_line":179,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":175},"source_file":{"bytes":7557,"sha256":"7361c3481d3028c64b48e89a1b784e6cc827acd5aafc7273664ba999a9668c7e"},"source_occurrence_order":411,"source_path":"content/methods/induction/relations.tex","source_problem_id":"c80:OLP-0619:problem:002","state":"verified_source_order_section_and_printed_number","target":{"block":{"bytes":261,"sha256":"2f7220b8d6d4b16a9fb766218087e7e1fd5aa4e6b82e19788e19679bcf244717"},"byte_end_exclusive":8206,"byte_start":7945,"end_line":189,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":184},"target_file":{"bytes":8223,"sha256":"4925004a1d8947033fd34b935956a0f794ebaad3e88f794c10afb30db5e4ce8a"},"target_path":"locale/id/content/methods/induction/relations.tex"},"number":"74.4","physical_page":1078,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1078","section_title_id":"Relasi dan Fungsi","solution_state":"not_audited","source_problem_id":"c80:OLP-0619:problem:002","source_reuse_count":1,"topic":"methods","unit_id":"OLP-0619"},{"chapter":"supplement:1","component":"supplement","id":"c80:OLP-0702:problem:001:supplement","local_reader_url":"reader.pdf#page=1131","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1131","combined_page":1131,"component_destination":"prob*.38","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=15","component_page":15,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0702","pdf_text_window":{"bytes":2411,"sha256":"2af2251651d6dcf2d44c19238f1906273ffa877ba05cd25ef42e48a852c420f1"},"printed_number":"1.1","source":{"block":{"bytes":197,"sha256":"f56bccb314f0eca1f2725928e708aea4fb4e91bfa9f7798e6b311c036ee9d2ff"},"byte_end_exclusive":9635,"byte_start":9438,"end_line":248,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":244},"source_file":{"bytes":13362,"sha256":"c519583876b9c2dd3f92f13417818e1254fc3de080535f3e2d5c35ddb759f605"},"source_path":"content/proof-theory/sequent-calculus/proof-examples.tex","source_problem_id":"c80:OLP-0702:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":193,"sha256":"48de8a181209ca382f00d1817bf666cf54a336e29745e06dfe28dbff42b32f53"},"byte_end_exclusive":10112,"byte_start":9919,"end_line":254,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":250},"target_file":{"bytes":13866,"sha256":"c83651b3438cc9dddf7d402a01320bb1980e0818c07d7949d65d0c1d5a925a6d"},"target_path":"locale/id/content/proof-theory/sequent-calculus/proof-examples.tex","witnesses":{"rendered":["Lengkapi bukti Proposisi 1.6","φ ≡(ψ ∨χ)"],"source":["Lengkapi bukti \\olref{prop:G1c-axioms}","(!B \\lor !C)"]}},"number":"1.1","physical_page":1131,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1131","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0702:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0702"},{"chapter":"supplement:1","component":"supplement","id":"c80:OLP-0702:problem:002:supplement","local_reader_url":"reader.pdf#page=1132","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1132","combined_page":1132,"component_destination":"prob*.43","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=16","component_page":16,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0702","pdf_text_window":{"bytes":2010,"sha256":"31b2f57816e8426926e30a0352a65c3c039b345db24a2c4a4b92b2d7a98d3c42"},"printed_number":"1.2","source":{"block":{"bytes":171,"sha256":"84a6e96904d01805f1ead2f55a000999375402c147b200124ad833968a773cb3"},"byte_end_exclusive":13344,"byte_start":13173,"end_line":346,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":342},"source_file":{"bytes":13362,"sha256":"c519583876b9c2dd3f92f13417818e1254fc3de080535f3e2d5c35ddb759f605"},"source_path":"content/proof-theory/sequent-calculus/proof-examples.tex","source_problem_id":"c80:OLP-0702:problem:002","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":165,"sha256":"31b818e06564bff1239781757044d3579379b80398989b4eaccdd6c350bc642f"},"byte_end_exclusive":13849,"byte_start":13684,"end_line":350,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":347},"target_file":{"bytes":13866,"sha256":"c83651b3438cc9dddf7d402a01320bb1980e0818c07d7949d65d0c1d5a925a6d"},"target_path":"locale/id/content/proof-theory/sequent-calculus/proof-examples.tex","witnesses":{"rendered":["Lanjutkan bukti Proposisi 1.7","φ ≡(ψ →χ)"],"source":["Lanjutkan bukti \\olref{prop:G3c-axioms}","(!B \\lif !C)"]}},"number":"1.2","physical_page":1132,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1132","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0702:problem:002","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0702"},{"chapter":"supplement:1","component":"supplement","id":"c80:OLP-0699:problem:001:supplement","local_reader_url":"reader.pdf#page=1133","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1133","combined_page":1133,"component_destination":"prob*.46","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=17","component_page":17,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0699","pdf_text_window":{"bytes":6720,"sha256":"d73304652abea69063c30d18d56ca6ec5e84f8d0a3734e3a78c73363ef247dea"},"printed_number":"1.3","source":{"block":{"bytes":386,"sha256":"bb718612f9e530ddc321d3200ceaa565c416a2d0695acdcfb9602f5d02148627"},"byte_end_exclusive":2908,"byte_start":2522,"end_line":65,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":58},"source_file":{"bytes":6759,"sha256":"54866e2d7c5736d5719a516e6193f8e805fb78504089ec01844d0b7cc5bd79db"},"source_path":"content/proof-theory/sequent-calculus/interpretation-rules.tex","source_problem_id":"c80:OLP-0699:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":448,"sha256":"90dba7c2c1a27737d2a2f629034c68b39ba4fbe6530b13725c327c7c05303009"},"byte_end_exclusive":2997,"byte_start":2549,"end_line":65,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":58},"target_file":{"bytes":7021,"sha256":"7d541d9908962abe71bb1dfedc9b1c761fd65f4961f7522681cc6fef51a225b3"},"target_path":"locale/id/content/proof-theory/sequent-calculus/interpretation-rules.tex","witnesses":{"rendered":["Andaikan φ ↓ψ benar","NOR","Bagaimanakah aturan G3c bagi perangkai tersebut?"],"source":["Andaikan $!A\\downarrow !B$ benar","NOR"]}},"number":"1.3","physical_page":1133,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1133","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0699:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0699"},{"chapter":"supplement:1","component":"supplement","id":"c80:OLP-0698:problem:001:supplement","local_reader_url":"reader.pdf#page=1137","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1137","combined_page":1137,"component_destination":"prob*.74","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=21","component_page":21,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0698","pdf_text_window":{"bytes":75,"sha256":"4810c946a6f83ce9755899199f90e19881ee17cacc2fc7b68a48731dcd705539"},"printed_number":"1.4","source":{"block":{"bytes":101,"sha256":"f3aaa7d6720e8c3435def3cbd2bacaba2323fa7e79060165f55a9d07ed502433"},"byte_end_exclusive":3612,"byte_start":3511,"end_line":106,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":103},"source_file":{"bytes":10251,"sha256":"42bd3c0e07c6be9b6c82e85adee3933c295c10411c3d60a4778221db0b864862"},"source_path":"content/proof-theory/sequent-calculus/admissible-derivable.tex","source_problem_id":"c80:OLP-0698:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":111,"sha256":"0fbb635fbed3e88f0150eb165f2fabedafae78f569a0536b4cf19750cc56e5ec"},"byte_end_exclusive":3819,"byte_start":3708,"end_line":107,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":104},"target_file":{"bytes":10733,"sha256":"decdc2b48bb2837a7615964e80204b77bc09b9b827e24ca7dc40d4c9385140a6"},"target_path":"locale/id/content/proof-theory/sequent-calculus/admissible-derivable.tex","witnesses":{"rendered":["Tunjukkan bahwa aturan ∨R dari G3c dapat diturunkan dalam G1c."],"source":["\\RightR{\\lor}","\\Log{G3c}","\\Log{G1c}"]}},"number":"1.4","physical_page":1137,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1137","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0698:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0698"},{"chapter":"supplement:1","component":"supplement","id":"c80:OLP-0698:problem:002:supplement","local_reader_url":"reader.pdf#page=1137","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1137","combined_page":1137,"component_destination":"prob*.76","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=21","component_page":21,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0698","pdf_text_window":{"bytes":6105,"sha256":"10322957e3513bbfb6f018abc7c4de28627d91092153dcd63d6bc875d27680fc"},"printed_number":"1.5","source":{"block":{"bytes":596,"sha256":"0268d0ade6dff7fe9eaea2754435cfda86a113eacfd13d35b6875e32fa74a631"},"byte_end_exclusive":4212,"byte_start":3616,"end_line":125,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":108},"source_file":{"bytes":10251,"sha256":"42bd3c0e07c6be9b6c82e85adee3933c295c10411c3d60a4778221db0b864862"},"source_path":"content/proof-theory/sequent-calculus/admissible-derivable.tex","source_problem_id":"c80:OLP-0698:problem:002","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":607,"sha256":"8e404466b15d6b3ccc32e892c36001448ef6e02883df215ac302b983e5bba3c2"},"byte_end_exclusive":4428,"byte_start":3821,"end_line":126,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":2,"start_line":109},"target_file":{"bytes":10733,"sha256":"decdc2b48bb2837a7615964e80204b77bc09b9b827e24ca7dc40d4c9385140a6"},"target_path":"locale/id/content/proof-theory/sequent-calculus/admissible-derivable.tex","witnesses":{"rendered":["Andaikan ↔merupakan operator logis terdefinisi","↔L","↔R","dapat diturunkan dalam (a) G1c dan (b) G3c."],"source":["Andaikan $\\liff$ merupakan !!{operator} terdefinisi","\\LeftR{\\liff}","\\RightR{\\liff}"]}},"number":"1.5","physical_page":1137,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1137","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0698:problem:002","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0698"},{"chapter":"supplement:1","component":"supplement","id":"c80:OLP-0701:problem:001:supplement","local_reader_url":"reader.pdf#page=1141","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1141","combined_page":1141,"component_destination":"prob*.101","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=25","component_page":25,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0701","pdf_text_window":{"bytes":6633,"sha256":"77ee4a6fb5086bc31d23d29fefac320cda2819a9cb9fd779778f130bc94eb6b0"},"printed_number":"1.6","source":{"block":{"bytes":85,"sha256":"6175f0ee3158bf051eb0966789aff75f15f5aedab7a29872e0456949af99dfd2"},"byte_end_exclusive":5953,"byte_start":5868,"end_line":146,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":144},"source_file":{"bytes":15789,"sha256":"6d33bf9ab5325569e7b97eb00221de556688ab8d64bedf39637bac5b57ebcd8c"},"source_path":"content/proof-theory/sequent-calculus/invertibility.tex","source_problem_id":"c80:OLP-0701:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":81,"sha256":"81e1dc05d929122f99a863b26350e6ce87974c18393d41bcbc5adad9619f3e93"},"byte_end_exclusive":6221,"byte_start":6140,"end_line":151,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":149},"target_file":{"bytes":16553,"sha256":"9d177f18e7b2fa45fea3c4a2d9c866eab4a3af73a12fee3f68388f8975f038a1"},"target_path":"locale/id/content/proof-theory/sequent-calculus/invertibility.tex","witnesses":{"rendered":["Berikan bukti Lema 1.19 untuk →R."],"source":["Berikan bukti \\olref{lem:G3c-invert}","\\RightR{\\lif}"]}},"number":"1.6","physical_page":1141,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1141","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0701:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0701"},{"chapter":"supplement:1","component":"supplement","id":"c80:OLP-0701:problem:002:supplement","local_reader_url":"reader.pdf#page=1143","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1143","combined_page":1143,"component_destination":"prob*.111","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=27","component_page":27,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0701","pdf_text_window":{"bytes":128,"sha256":"e850d8ed742dde2c154c6b5a15dee3d3a9ea4479325a64940cbc81492e67e1db"},"printed_number":"1.7","source":{"block":{"bytes":180,"sha256":"6a4a4340c20d7d9ee31c288698f1e1bfd2ebd22d8c62f39620d19b9310109418"},"byte_end_exclusive":15552,"byte_start":15372,"end_line":384,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":380},"source_file":{"bytes":15789,"sha256":"6d33bf9ab5325569e7b97eb00221de556688ab8d64bedf39637bac5b57ebcd8c"},"source_path":"content/proof-theory/sequent-calculus/invertibility.tex","source_problem_id":"c80:OLP-0701:problem:002","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":187,"sha256":"f57d520528c439e7f8f76924894ae268f7369652f82be8f4a9d8f46a1732bc21"},"byte_end_exclusive":16312,"byte_start":16125,"end_line":395,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":391},"target_file":{"bytes":16553,"sha256":"9d177f18e7b2fa45fea3c4a2d9c866eab4a3af73a12fee3f68388f8975f038a1"},"target_path":"locale/id/content/proof-theory/sequent-calculus/invertibility.tex","witnesses":{"rendered":["Uraikan garis besar bukti Proposisi 1.21 untuk CL.","φ ≡(ψ ∧χ)","φ ≡(ψ →χ)."],"source":["\\olref{prop:G3c-cont-adm}","\\LeftR{\\Contraction}","$!A \\ident (!B \\lif !C)$"]}},"number":"1.7","physical_page":1143,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1143","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0701:problem:002","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0701"},{"chapter":"supplement:1","component":"supplement","id":"c80:OLP-0701:problem:003:supplement","local_reader_url":"reader.pdf#page=1143","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1143","combined_page":1143,"component_destination":"prob*.113","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=27","component_page":27,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0701","pdf_text_window":{"bytes":5735,"sha256":"829a61bd050465ea06320d44818579316e3fb6bb4cb98515e5b60bc28fc25ed1"},"printed_number":"1.8","source":{"block":{"bytes":213,"sha256":"083b2012047de0e72ffafb32ce7e6dffa9b85c51463cb38f671b69c7b395a056"},"byte_end_exclusive":15769,"byte_start":15556,"end_line":390,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":386},"source_file":{"bytes":15789,"sha256":"6d33bf9ab5325569e7b97eb00221de556688ab8d64bedf39637bac5b57ebcd8c"},"source_path":"content/proof-theory/sequent-calculus/invertibility.tex","source_problem_id":"c80:OLP-0701:problem:003","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":221,"sha256":"283cffc2c23e62a737fe5ff52099b5eccda8407ebc16c99d294ca997a6613813"},"byte_end_exclusive":16535,"byte_start":16314,"end_line":401,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":397},"target_file":{"bytes":16553,"sha256":"9d177f18e7b2fa45fea3c4a2d9c866eab4a3af73a12fee3f68388f8975f038a1"},"target_path":"locale/id/content/proof-theory/sequent-calculus/invertibility.tex","witnesses":{"rendered":["Uraikan garis besar bukti Proposisi 1.21 untuk CL bagi kasus-kasus kuantor yang tersisa","φ ≡∀x ψ(x)","φ ≡∃x ψ(x)."],"source":["\\olref{prop:G3c-cont-adm}","kasus-kasus kuantor yang tersisa","\\lforall[x][!B(x)]","\\lexists[x][!B(x)]"]}},"number":"1.8","physical_page":1143,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1143","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0701:problem:003","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0701"},{"chapter":"supplement:2","component":"supplement","id":"c80:OLP-0656:problem:001:supplement","local_reader_url":"reader.pdf#page=1152","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1152","combined_page":1152,"component_destination":"prob*.144","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=36","component_page":36,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0656","pdf_text_window":{"bytes":272,"sha256":"4866df26325ac91553b80306be21025d98ad43d46777d0e1169ca9948cb5857a"},"printed_number":"2.1","source":{"block":{"bytes":304,"sha256":"27743db8096b215ada9b54a39fe70c1956058f00b4e06fa1b677a8387b005d44"},"byte_end_exclusive":20842,"byte_start":20538,"end_line":574,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":569},"source_file":{"bytes":23540,"sha256":"23f7c0ab26f8ab7c5db86c56f83287df46fc8dd6473632632b77ea59bfea7a80"},"source_path":"content/proof-theory/cut-elimination/ce-topmost.tex","source_problem_id":"c80:OLP-0656:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":319,"sha256":"3c75a4f311a73ba10ab19a54423776cb5a39d687e9e63c2d08e78676b3378c62"},"byte_end_exclusive":21518,"byte_start":21199,"end_line":579,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":573},"target_file":{"bytes":24361,"sha256":"28cb07cc93abbd0cdd9e380ec5454457a0fd16407fcf62e93b5bbb2ca172f084"},"target_path":"locale/id/content/proof-theory/cut-elimination/ce-topmost.tex","witnesses":{"rendered":["kasus D dalam bukti Lema 2.2","berakhir dengan →L.","bagian dari latihan ini"],"source":["kasus~D","\\LeftR{\\lif}","bagian dari latihan ini"]}},"number":"2.1","physical_page":1152,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1152","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0656:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0656"},{"chapter":"supplement:2","component":"supplement","id":"c80:OLP-0656:problem:002:supplement","local_reader_url":"reader.pdf#page=1152","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1152","combined_page":1152,"component_destination":"prob*.146","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=36","component_page":36,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0656","pdf_text_window":{"bytes":144,"sha256":"b3d92385a073005e31f4c08ae66e1ac39e2f75a6bf473a072fd585ec91339f4a"},"printed_number":"2.2","source":{"block":{"bytes":193,"sha256":"3abb49b84da8ab8ef2e02c1d913de4f1690a78c3db433ed33150f568936c1ae2"},"byte_end_exclusive":21039,"byte_start":20846,"end_line":580,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":576},"source_file":{"bytes":23540,"sha256":"23f7c0ab26f8ab7c5db86c56f83287df46fc8dd6473632632b77ea59bfea7a80"},"source_path":"content/proof-theory/cut-elimination/ce-topmost.tex","source_problem_id":"c80:OLP-0656:problem:002","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":192,"sha256":"a1806cf969fef968fb615265372255bb076204212f28f0db6af9f73e19c5ac3a"},"byte_end_exclusive":21712,"byte_start":21520,"end_line":585,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":581},"target_file":{"bytes":24361,"sha256":"28cb07cc93abbd0cdd9e380ec5454457a0fd16407fcf62e93b5bbb2ca172f084"},"target_path":"locale/id/content/proof-theory/cut-elimination/ce-topmost.tex","witnesses":{"rendered":["kasus D dalam bukti Lema 2.2","berakhir dengan ∀L."],"source":["kasus~D","\\LeftR{\\lforall}"]}},"number":"2.2","physical_page":1152,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1152","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0656:problem:002","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0656"},{"chapter":"supplement:2","component":"supplement","id":"c80:OLP-0656:problem:003:supplement","local_reader_url":"reader.pdf#page=1152","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1152","combined_page":1152,"component_destination":"prob*.148","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=36","component_page":36,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0656","pdf_text_window":{"bytes":144,"sha256":"76308cbc5bfd1672e58048a7dd0d670fbd8256d02d92c44e813d5caf570601ad"},"printed_number":"2.3","source":{"block":{"bytes":203,"sha256":"341ec50a65c309a766c6162949626193a9b2da7a35a56b9bfaf105b996a77320"},"byte_end_exclusive":21246,"byte_start":21043,"end_line":586,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":582},"source_file":{"bytes":23540,"sha256":"23f7c0ab26f8ab7c5db86c56f83287df46fc8dd6473632632b77ea59bfea7a80"},"source_path":"content/proof-theory/cut-elimination/ce-topmost.tex","source_problem_id":"c80:OLP-0656:problem:003","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":191,"sha256":"c47cb508281451a5a5488aba882c1b5109611edbee27e210398435c7e019808f"},"byte_end_exclusive":21905,"byte_start":21714,"end_line":591,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":587},"target_file":{"bytes":24361,"sha256":"28cb07cc93abbd0cdd9e380ec5454457a0fd16407fcf62e93b5bbb2ca172f084"},"target_path":"locale/id/content/proof-theory/cut-elimination/ce-topmost.tex","witnesses":{"rendered":["kasus E dalam bukti Lema 2.2","φ ≡(ψ ∧χ)."],"source":["kasus~E","$!A \\ident (!B \\land !C)$"]}},"number":"2.3","physical_page":1152,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1152","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0656:problem:003","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0656"},{"chapter":"supplement:2","component":"supplement","id":"c80:OLP-0656:problem:004:supplement","local_reader_url":"reader.pdf#page=1152","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1152","combined_page":1152,"component_destination":"prob*.150","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=36","component_page":36,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0656","pdf_text_window":{"bytes":8119,"sha256":"f966865f6cb99952f3888fe80e99f9645dc2976e99844ceb8cdccd9574aa1364"},"printed_number":"2.4","source":{"block":{"bytes":208,"sha256":"953f0603c147a48567f47a291d958a34f9ec0d1f7e92bc02279a571ac8c4c0c7"},"byte_end_exclusive":21458,"byte_start":21250,"end_line":592,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":588},"source_file":{"bytes":23540,"sha256":"23f7c0ab26f8ab7c5db86c56f83287df46fc8dd6473632632b77ea59bfea7a80"},"source_path":"content/proof-theory/cut-elimination/ce-topmost.tex","source_problem_id":"c80:OLP-0656:problem:004","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":196,"sha256":"77a43e7976283eed9312b02d91b8a7c79bdbd87838e1c9060226165c2a136139"},"byte_end_exclusive":22103,"byte_start":21907,"end_line":597,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":593},"target_file":{"bytes":24361,"sha256":"28cb07cc93abbd0cdd9e380ec5454457a0fd16407fcf62e93b5bbb2ca172f084"},"target_path":"locale/id/content/proof-theory/cut-elimination/ce-topmost.tex","witnesses":{"rendered":["kasus E dalam bukti Lema 2.2","φ ≡∃x ψ(x)."],"source":["kasus~E","$!A \\ident \\lexists[x][!B(x)]$"]}},"number":"2.4","physical_page":1152,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1152","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0656:problem:004","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0656"},{"chapter":"supplement:2","component":"supplement","id":"c80:OLP-0655:problem:001:supplement","local_reader_url":"reader.pdf#page=1156","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1156","combined_page":1156,"component_destination":"prob*.167","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=40","component_page":40,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0655","pdf_text_window":{"bytes":6742,"sha256":"3cc2430d7177973b81f257a3e7d7cdc1c525fe193569ccd76c244883d5865b7f"},"printed_number":"2.5","source":{"block":{"bytes":606,"sha256":"f4da2c64a9460998ebe446cefe0b76907f67c013ec4790ca764fb4c1295607fb"},"byte_end_exclusive":13098,"byte_start":12492,"end_line":303,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":285},"source_file":{"bytes":14795,"sha256":"64ec0682ec49bb67f7e7078f615bf988dea82ff6061a577f8b8d2321480e340f"},"source_path":"content/proof-theory/cut-elimination/ce-largest.tex","source_problem_id":"c80:OLP-0655:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":620,"sha256":"9de67dd1d873b14b52f0554f1c9a108a94ac37021624832dcd69595eef1d9223"},"byte_end_exclusive":13826,"byte_start":13206,"end_line":309,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":290},"target_file":{"bytes":15894,"sha256":"5d8f129c59724261c30ad1ef1972518eb5df500e56d7dcf0701bd50fa48645b3"},"target_path":"locale/id/content/proof-theory/cut-elimination/ce-largest.tex","witnesses":{"rendered":["Periksa kasus φ ≡(ψ ∧χ) dalam bukti Lema 2.5."],"source":["Periksa kasus $!A \\ident (!B \\land !C)$","\\olref{lem:max-cut-red-G3c}"]}},"number":"2.5","physical_page":1156,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1156","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0655:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0655"},{"chapter":"supplement:2","component":"supplement","id":"c80:OLP-0661:problem:001:supplement","local_reader_url":"reader.pdf#page=1159","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1159","combined_page":1159,"component_destination":"prob*.178","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=43","component_page":43,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0661","pdf_text_window":{"bytes":8188,"sha256":"b3d23a4225dfe61c6beed3a89638acdf61c28556ce2dd7938352ca7206c49b98"},"printed_number":"2.6","source":{"block":{"bytes":215,"sha256":"0e6acf84dd0b999b0edfaa71ee62d00b7448a37f0dc4aa719627d0b447f1f41b"},"byte_end_exclusive":10768,"byte_start":10553,"end_line":229,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":225},"source_file":{"bytes":11995,"sha256":"43256252e3edd0d03b8e10d16dc26bb972c63982700e939e92341e2cd4fb1714"},"source_path":"content/proof-theory/cut-elimination/midsequent.tex","source_problem_id":"c80:OLP-0661:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":206,"sha256":"839274b9a9a883c6ef4683dab25cf99980c3a56928771580789f8c92c0807416"},"byte_end_exclusive":11133,"byte_start":10927,"end_line":241,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":237},"target_file":{"bytes":12429,"sha256":"d50dcaadef3c7b1239c73ec8cf12d212275dc3b5aacdf084f2e36548b23d068b"},"target_path":"locale/id/content/proof-theory/cut-elimination/midsequent.tex","witnesses":{"rendered":["Uraikan kasus-kasus dalam bukti Teorema 2.8 ketika ∃L berakhir pada premis →R","∀L berakhir pada premis kiri ∨L."],"source":["\\olref{thm:midsequent}","\\LeftR{\\lexists}","\\LeftR{\\lforall}"]}},"number":"2.6","physical_page":1159,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1159","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0661:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0661"},{"chapter":"supplement:2","component":"supplement","id":"c80:OLP-0658:problem:001:supplement","local_reader_url":"reader.pdf#page=1165","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1165","combined_page":1165,"component_destination":"prob*.196","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=49","component_page":49,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0658","pdf_text_window":{"bytes":7792,"sha256":"b157d29a07f8e8f8f8fa4a5a3422c6fd3e19c22a0dcc3cf06524946f17012c00"},"printed_number":"2.7","source":{"block":{"bytes":530,"sha256":"1f781ad24d232733270591f4262d3599fcac8b697a5a6574d61c15eba6ce0414"},"byte_end_exclusive":21688,"byte_start":21158,"end_line":482,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":466},"source_file":{"bytes":26938,"sha256":"bbc03497792453598681584f4aa58b8a9bbcac9c3fb288fd71c794e1cfed6a0c"},"source_path":"content/proof-theory/cut-elimination/interpolation.tex","source_problem_id":"c80:OLP-0658:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":542,"sha256":"6b5d1fecb3826c5763cda6b01ded73b6bfb88669498ae7363d5839e568c3bf4e"},"byte_end_exclusive":21896,"byte_start":21354,"end_line":486,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":469},"target_file":{"bytes":27818,"sha256":"6d93197819947e4e7dfb67566a04821a1260bf7da1ce07fac1308d280dc3088a"},"target_path":"locale/id/content/proof-theory/cut-elimination/interpolation.tex","witnesses":{"rendered":["Andaikan kita mempunyai penghubung ↑dengan aturan","Tunjukkan bahwa Lema Maehara tetap berlaku"],"source":["Andaikan kita mempunyai penghubung $\\lnand$","Lema Maehara"]}},"number":"2.7","physical_page":1165,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1165","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0658:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0658"},{"chapter":"supplement:3","component":"supplement","id":"c80:OLP-0665:problem:001:supplement","local_reader_url":"reader.pdf#page=1176","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1176","combined_page":1176,"component_destination":"prob*.246","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=60","component_page":60,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0665","pdf_text_window":{"bytes":6637,"sha256":"0fef86eebcb770021b8ccb2b85bc9458682dc18f9d24186d3a46259c5253d332"},"printed_number":"3.1","source":{"block":{"bytes":143,"sha256":"696a43124f8e87108ded81ace3018b2600cb6deeaea9c2c4b2fe7070beedacf4"},"byte_end_exclusive":7084,"byte_start":6941,"end_line":183,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":180},"source_file":{"bytes":7437,"sha256":"f659fa8c840e145231972ce409fbbde75eeb7e42ec4cefc4f4317b244c83a528"},"source_path":"content/proof-theory/natural-deduction/quantifiers.tex","source_problem_id":"c80:OLP-0665:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":138,"sha256":"bfd615cc40a1f232be8220fb899da4084e68912d2ae3d41d012d0e98dfb21220"},"byte_end_exclusive":7649,"byte_start":7511,"end_line":203,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":200},"target_file":{"bytes":8057,"sha256":"2e8f2e8ddc6f1d19faeb84467c5a3aa6070f538bc6b672eac02001cde866540f"},"target_path":"locale/id/content/proof-theory/natural-deduction/quantifiers.tex","witnesses":{"rendered":["Uraikan kasus dalam bukti Proposisi 3.8","inferensi variabel eigen paling atas adalah ∃Elim."],"source":["\\olref{prop:regular}","\\Elim{\\lexists}"]}},"number":"3.1","physical_page":1176,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1176","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0665:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0665"},{"chapter":"supplement:4","component":"supplement","id":"c80:OLP-0675:problem:001:supplement","local_reader_url":"reader.pdf#page=1184","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1184","combined_page":1184,"component_destination":"prob*.289","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=68","component_page":68,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0675","pdf_text_window":{"bytes":1375,"sha256":"a21a8f2b93b63cca654f1d193fe1af5c8a2b75c943558f56c32b20265217bb2f"},"printed_number":"4.1","source":{"block":{"bytes":426,"sha256":"455cd934f91cded4bc0fd506e6c372e5a4ab1c566b9b27213c96ec5d2b798daf"},"byte_end_exclusive":3095,"byte_start":2669,"end_line":86,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":79},"source_file":{"bytes":12368,"sha256":"594005d50c359946d7ff673f0b6eb86dcf0c56e8cd9bd001a66981bdf6602310"},"source_path":"content/proof-theory/normalization/permutations.tex","source_problem_id":"c80:OLP-0675:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":475,"sha256":"03d8b0b2f40522c533356089b8b7b43cef78d09cfca1a81b7231d52741156258"},"byte_end_exclusive":3286,"byte_start":2811,"end_line":88,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":80},"target_file":{"bytes":12181,"sha256":"618d108a5ca46ab67dc981072958f6b780983eac437374e9f3e9f39b597afa78"},"target_path":"locale/id/content/proof-theory/normalization/permutations.tex","witnesses":{"rendered":["Setelah suatu konversi permutasi","∧Elim melintasi ∨Elim"],"source":["Setelah suatu konversi permutasi","\\Elim{\\land}","\\Elim{\\lor}"]}},"number":"4.1","physical_page":1184,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1184","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0675:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0675"},{"chapter":"supplement:4","component":"supplement","id":"c80:OLP-0675:problem:002:supplement","local_reader_url":"reader.pdf#page=1185","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1185","combined_page":1185,"component_destination":"prob*.291","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=69","component_page":69,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0675","pdf_text_window":{"bytes":84,"sha256":"49e08df1438c24c776aa3990ae0647aa94893ec99055c1e74232f7a72d12c77c"},"printed_number":"4.2","source":{"block":{"bytes":116,"sha256":"d72b8cb2d82edf3f4bc5aef0f0d4fc42cb57c382ed918e6ae353cf059858978c"},"byte_end_exclusive":9529,"byte_start":9413,"end_line":346,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":343},"source_file":{"bytes":12368,"sha256":"594005d50c359946d7ff673f0b6eb86dcf0c56e8cd9bd001a66981bdf6602310"},"source_path":"content/proof-theory/normalization/permutations.tex","source_problem_id":"c80:OLP-0675:problem:002","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":111,"sha256":"458e7d397cd127e673e3f81582077929ac20a28869149b261f3d7ea2a14b3409"},"byte_end_exclusive":9302,"byte_start":9191,"end_line":348,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":345},"target_file":{"bytes":12181,"sha256":"618d108a5ca46ab67dc981072958f6b780983eac437374e9f3e9f39b597afa78"},"target_path":"locale/id/content/proof-theory/normalization/permutations.tex","witnesses":{"rendered":["Berikan konversi permutasi bagi ∨Elim yang diikuti ∨Elim atau ¬Elim."],"source":["Berikan konversi permutasi bagi \\Elim{\\lor}","\\Elim{\\lnot}"]}},"number":"4.2","physical_page":1185,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1185","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0675:problem:002","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0675"},{"chapter":"supplement:4","component":"supplement","id":"c80:OLP-0675:problem:003:supplement","local_reader_url":"reader.pdf#page=1185","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1185","combined_page":1185,"component_destination":"prob*.293","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=69","component_page":69,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0675","pdf_text_window":{"bytes":6566,"sha256":"017829372b27d225f245d1c999d90af20921e182fe2ee38c54dd14b856087f67"},"printed_number":"4.3","source":{"block":{"bytes":174,"sha256":"0f99394028e627884214c096da910522be62812f2953f18e9d6cbd9acd977d32"},"byte_end_exclusive":9707,"byte_start":9533,"end_line":352,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":348},"source_file":{"bytes":12368,"sha256":"594005d50c359946d7ff673f0b6eb86dcf0c56e8cd9bd001a66981bdf6602310"},"source_path":"content/proof-theory/normalization/permutations.tex","source_problem_id":"c80:OLP-0675:problem:003","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":186,"sha256":"616f3321567fae822797a3d8107307689acfa9edb5e1405c21a0b2ae7c16e053"},"byte_end_exclusive":9490,"byte_start":9304,"end_line":354,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":350},"target_file":{"bytes":12181,"sha256":"618d108a5ca46ab67dc981072958f6b780983eac437374e9f3e9f39b597afa78"},"target_path":"locale/id/content/proof-theory/normalization/permutations.tex","witnesses":{"rendered":["Berikan konversi permutasi bagi ∃Elim yang diikuti ∃Elim.","syarat variabel eigen"],"source":["Berikan konversi permutasi bagi \\Elim{\\lexists}","syarat variabel eigen"]}},"number":"4.3","physical_page":1185,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1185","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0675:problem:003","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0675"},{"chapter":"supplement:4","component":"supplement","id":"c80:OLP-0676:problem:001:supplement","local_reader_url":"reader.pdf#page=1187","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1187","combined_page":1187,"component_destination":"prob*.300","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=71","component_page":71,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0676","pdf_text_window":{"bytes":4073,"sha256":"a8af76352f798b659eb5b615d894b0c4357ccbae362e5c3da430e898f429c0ee"},"printed_number":"4.4","source":{"block":{"bytes":100,"sha256":"efd402148de2f6689e78b71260f97dffea6483b588bc002f470012f54de47737"},"byte_end_exclusive":8469,"byte_start":8369,"end_line":264,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":261},"source_file":{"bytes":10426,"sha256":"97d1a7e894ca1acaceafe77023cda83c19b85717dc5e97f5b5bd0ef751d0d419"},"source_path":"content/proof-theory/normalization/reductions.tex","source_problem_id":"c80:OLP-0676:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":94,"sha256":"ee39782a81b329bf1485d798dcfe08f3c7f7ddd99f44f1e084bae7523f2849a7"},"byte_end_exclusive":8672,"byte_start":8578,"end_line":263,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":261},"target_file":{"bytes":10631,"sha256":"a3885328f9b6bf47587db28b16253a6d9dbf5637a4c203af25508fa5810ff8d0"},"target_path":"locale/id/content/proof-theory/normalization/reductions.tex","witnesses":{"rendered":["Berikan konversi reduksi bagi ¬Intro yang diikuti ¬Elim."],"source":["Berikan konversi reduksi bagi \\Intro{\\lnot}","\\Elim{\\lnot}"]}},"number":"4.4","physical_page":1187,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1187","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0676:problem:001","source_reuse_count":1,"topic":"proof-theory","unit_id":"OLP-0676"},{"chapter":"supplement:8","component":"supplement","id":"c80:OLP-0643:problem:001:supplement","local_reader_url":"reader.pdf#page=1226","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1226","combined_page":1226,"component_destination":"prob*.485","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=110","component_page":110,"decision_rule":"short_reference","native_unit_id":"OLP-0643","pdf_text_window":{"bytes":6450,"sha256":"35de872d8a46404512197fc94327729f5e5a4b506e31d25ac5189d92300b0499"},"printed_number":"8.1","source":{"block":{"bytes":118,"sha256":"0ac926169309be670f1d28e586577336c84f6152dee58e8120a663ce01936444"},"byte_end_exclusive":5800,"byte_start":5682,"end_line":169,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":167},"source_file":{"bytes":12102,"sha256":"ce39569c807bdbe83a1d43638f94af123c5551e2c01487e7b38ef4c373d89022"},"source_path":"content/first-order-logic/axiomatic-deduction/provability.tex","source_problem_id":"c80:OLP-0643:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":113,"sha256":"fe66322b1c1bf61abed647ec777143b2e440a86503bfe97e1bf266927e8ca813"},"byte_end_exclusive":5630,"byte_start":5517,"end_line":174,"environment":"probtag","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":172},"target_file":{"bytes":12280,"sha256":"d891f49a2f8da49bcb93e3f7763a77ce7d084549aedec733244853d2b726ce3f"},"target_path":"locale/id/content/first-order-logic/axiomatic-deduction/provability.tex","witnesses":{"rendered":["Lengkapi pembuktian Proposisi 8.2."],"source":["Lengkapi pembuktian","\\olref[fol][axd][prv]{prop:provability}"]}},"number":"8.1","physical_page":1226,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1226","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0643:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0643"},{"chapter":"supplement:8","component":"supplement","id":"c80:OLP-0644:problem:001:supplement","local_reader_url":"reader.pdf#page=1229","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1229","combined_page":1229,"component_destination":"prob*.529","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=113","component_page":113,"decision_rule":"short_reference","native_unit_id":"OLP-0644","pdf_text_window":{"bytes":4603,"sha256":"4bd0b05dbab86cd1d827be6b55a21ca2b19f52c8f6ad637f4b5eebf223b76761"},"printed_number":"8.2","source":{"block":{"bytes":80,"sha256":"6b2766fd460c2fa6f3ee7658d89f735957aa1f99ed436b0401a6eb52b6fc53c8"},"byte_end_exclusive":7159,"byte_start":7079,"end_line":165,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":163},"source_file":{"bytes":7179,"sha256":"c369885c6575d5106d042c4da0eca79b3bece0e49dcaf1e165d27691343ca82c"},"source_path":"content/first-order-logic/completeness/maximally-consistent-sets.tex","source_problem_id":"c80:OLP-0644:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":76,"sha256":"0dd6fe76093c6847435c51511587a20c889b89fc007c3de694ddf2c61bed24a7"},"byte_end_exclusive":7551,"byte_start":7475,"end_line":175,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":173},"target_file":{"bytes":7568,"sha256":"71767965a88040c934b9dad9a0c26cc1df4b1297ba62c6debc8bacdee6625050"},"target_path":"locale/id/content/first-order-logic/completeness/maximally-consistent-sets.tex","witnesses":{"rendered":["Lengkapi pembuktian Proposisi 8.11."],"source":["Lengkapi pembuktian","\\olref[fol][com][mcs]{prop:mcs}"]}},"number":"8.2","physical_page":1229,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1229","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0644:problem:001","source_reuse_count":1,"topic":"first-order-logic","unit_id":"OLP-0644"},{"chapter":"supplement:10","component":"supplement","id":"c80:OLP-0649:problem:001:supplement","local_reader_url":"reader.pdf#page=1234","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1234","combined_page":1234,"component_destination":"prob*.566","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=118","component_page":118,"decision_rule":"short_reference","native_unit_id":"OLP-0649","pdf_text_window":{"bytes":1843,"sha256":"9bfecfa5d6713fc2b509f5d44ff4306d12ecfc46fdaef67f98b60cbf7f3267db"},"printed_number":"10.1","source":{"block":{"bytes":80,"sha256":"3e4acc0da269bc572cfb94b306621c98f45afad1c4d6c4a7e88da218e75f2906"},"byte_end_exclusive":1387,"byte_start":1307,"end_line":50,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":48},"source_file":{"bytes":1407,"sha256":"2b6f494870916b37912a5208ed6e9203b0631f9538169a7e9a5a825e51802061"},"source_path":"content/intuitionistic-logic/semantics/propositions.tex","source_problem_id":"c80:OLP-0649:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":81,"sha256":"419f24ff1b96f887a9bdb11c4bd4c8204a2a659b26f714349a82fd36b8838fff"},"byte_end_exclusive":1448,"byte_start":1367,"end_line":51,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":49},"target_file":{"bytes":1465,"sha256":"1baaeb11f947cab4f202d6f4f6ccea1f9893f10fbb9d0fab26acf2fd0873422b"},"target_path":"locale/id/content/intuitionistic-logic/semantics/propositions.tex","witnesses":{"rendered":["Buktikan Proposisi 10.2."],"source":["Buktikan","\\olref[int][sem][pro]{prop:propositions-true}"]}},"number":"10.1","physical_page":1234,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1234","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0649:problem:001","source_reuse_count":1,"topic":"intuitionistic-logic","unit_id":"OLP-0649"},{"chapter":"supplement:10","component":"supplement","id":"c80:OLP-0650:problem:001:supplement","local_reader_url":"reader.pdf#page=1235","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1235","combined_page":1235,"component_destination":"prob*.570","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=119","component_page":119,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0650","pdf_text_window":{"bytes":47,"sha256":"26c3355c81b3c666da1dec2829fa3220d3634052d337455172dc0abdbc8074fe"},"printed_number":"10.2","source":{"block":{"bytes":61,"sha256":"d311a9373e5b1fa0a6e73df4696e9f0455013bb391dd2d2b26dcc1f1784e13cd"},"byte_end_exclusive":1612,"byte_start":1551,"end_line":45,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":43},"source_file":{"bytes":1703,"sha256":"c7121718f9c43522034b81adec1250c53177131538ffcfc8aceca2762a17b1bd"},"source_path":"content/lambda-calculus/lambda-definability/lists.tex","source_problem_id":"c80:OLP-0650:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":66,"sha256":"a382828128b549c8c858bd166168aeb6f5a95dc09ff741dbf9ccf4739fa44d17"},"byte_end_exclusive":1702,"byte_start":1636,"end_line":46,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":44},"target_file":{"bytes":1795,"sha256":"4be048718f57285ca28cbf3b7b0b393c7e014cf28f7eb9c741664123b909fdc1"},"target_path":"locale/id/content/lambda-calculus/lambda-definability/lists.tex","witnesses":{"rendered":["Apa yang dilakukan Len? Jelaskan."],"source":["Apa yang dilakukan $\\fn{Len}$? Jelaskan."]}},"number":"10.2","physical_page":1235,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1235","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0650:problem:001","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0650"},{"chapter":"supplement:10","component":"supplement","id":"c80:OLP-0650:problem:002:supplement","local_reader_url":"reader.pdf#page=1235","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1235","combined_page":1235,"component_destination":"prob*.572","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=119","component_page":119,"decision_rule":"distinct_prose","native_unit_id":"OLP-0650","pdf_text_window":{"bytes":3660,"sha256":"bc727f2405246336e147af1703a900f1297af9da6f9128d15020fd105e962527"},"printed_number":"10.3","source":{"block":{"bytes":67,"sha256":"e93c5e13b1c2c01498934ec1eed30de7c6ae4a727fca8e01518eca08f80db79f"},"byte_end_exclusive":1683,"byte_start":1616,"end_line":49,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":47},"source_file":{"bytes":1703,"sha256":"c7121718f9c43522034b81adec1250c53177131538ffcfc8aceca2762a17b1bd"},"source_path":"content/lambda-calculus/lambda-definability/lists.tex","source_problem_id":"c80:OLP-0650:problem:002","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":75,"sha256":"f06b41660ee68aebba02fc007815aefc2917cf9d5586799dcd0f2f6f1ff6b63c"},"byte_end_exclusive":1779,"byte_start":1704,"end_line":50,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":48},"target_file":{"bytes":1795,"sha256":"4be048718f57285ca28cbf3b7b0b393c7e014cf28f7eb9c741664123b909fdc1"},"target_path":"locale/id/content/lambda-calculus/lambda-definability/lists.tex","witnesses":{"rendered":["Definisikan fungsi yang membalikkan suatu daftar."],"source":["Definisikan fungsi yang membalikkan suatu daftar."]}},"number":"10.3","physical_page":1235,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1235","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0650:problem:002","source_reuse_count":1,"topic":"lambda-calculus","unit_id":"OLP-0650"},{"chapter":"supplement:11","component":"supplement","id":"c80:OLP-0652:problem:001:supplement","local_reader_url":"reader.pdf#page=1237","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1237","combined_page":1237,"component_destination":"prob*.594","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=121","component_page":121,"decision_rule":"short_reference","native_unit_id":"OLP-0652","pdf_text_window":{"bytes":2486,"sha256":"c552304c2c25f55ba2b9788076ae16f501ca0bd827cf32a86f6fd8f51790c72a"},"printed_number":"11.1","source":{"block":{"bytes":66,"sha256":"549938a5f2a42bcd034061f9867b9a7cb95465c4c253518cf0110e36f65009c7"},"byte_end_exclusive":4993,"byte_start":4927,"end_line":138,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":136},"source_file":{"bytes":5882,"sha256":"932f852e0aa0fbcfeb0398de561bdcfab8be88a8865fdad6d54b68fdbe0d9ec0"},"source_path":"content/many-valued-logic/sequent-calculus/proof-theoretic-notions.tex","source_problem_id":"c80:OLP-0652:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":53,"sha256":"c8ed86ce352abf22587441c6c4fcec940b5a783cedda7d24e357909e1388bfa4"},"byte_end_exclusive":5258,"byte_start":5205,"end_line":143,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":141},"target_file":{"bytes":6232,"sha256":"47f0434f112bdf1cb48a98b728bed3764c48dabebd1077411ef1786777635e33"},"target_path":"locale/id/content/many-valued-logic/sequent-calculus/proof-theoretic-notions.tex","witnesses":{"rendered":["Buktikan Proposisi 11.7."],"source":["Buktikan \\olref{prop:incons}"]}},"number":"11.1","physical_page":1237,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1237","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0652:problem:001","source_reuse_count":1,"topic":"many-valued-logic","unit_id":"OLP-0652"},{"chapter":"supplement:11","component":"supplement","id":"c80:OLP-0653:problem:001:supplement","local_reader_url":"reader.pdf#page=1238","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1238","combined_page":1238,"component_destination":"prob*.613","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=122","component_page":122,"decision_rule":"distinct_prose","native_unit_id":"OLP-0653","pdf_text_window":{"bytes":6042,"sha256":"b2b9973813a43685627643ea56f46d1547e4e04120da67199ceb473304f199be"},"printed_number":"11.2","source":{"block":{"bytes":412,"sha256":"1a31e98527fdb8d1d04196d28bf46e4ffeb1908846dee7e84b16d83e9783fe91"},"byte_end_exclusive":3098,"byte_start":2686,"end_line":73,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":66},"source_file":{"bytes":11319,"sha256":"dd7b887e3d6de8666302d81e5049e5de34c22701b3fbcc2ad33cb2f29a0b8948"},"source_path":"content/model-theory/basics/nonstandard-arithmetic.tex","source_problem_id":"c80:OLP-0653:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":464,"sha256":"2cfba5fa0dcff52f95bb324cafce3d8db9433218be254d3718d9bc362de012f3"},"byte_end_exclusive":3247,"byte_start":2783,"end_line":76,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":68},"target_file":{"bytes":11837,"sha256":"bb810598cb1082b71860caf6d1178a7d8c34feddaa4a1bb54ba8eda62bf13706"},"target_path":"locale/id/content/model-theory/basics/nonstandard-arithmetic.tex","witnesses":{"rendered":["Suatu relasi R pada himpunan X berdasar-baik","Zermelo–Fraenkel ZF konsisten"],"source":["Suatu relasi $R$ pada himpunan $X$","Zermelo--Fraenkel~$ZF$"]}},"number":"11.2","physical_page":1238,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1238","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0653:problem:001","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0653"},{"chapter":"supplement:11","component":"supplement","id":"c80:OLP-0653:problem:002:supplement","local_reader_url":"reader.pdf#page=1240","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1240","combined_page":1240,"component_destination":"prob*.628","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=124","component_page":124,"decision_rule":"distinct_prose","native_unit_id":"OLP-0653","pdf_text_window":{"bytes":99,"sha256":"b58ad4f928469a0af644acbdaa2a7db8e6212b5cfcdec3020584bed5d27fe21f"},"printed_number":"11.3","source":{"block":{"bytes":106,"sha256":"9c1cca91e607f09e308888d8829f16f8a3e764adc06eb78fdba27afe1fb6cf29"},"byte_end_exclusive":9894,"byte_start":9788,"end_line":192,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":189},"source_file":{"bytes":11319,"sha256":"dd7b887e3d6de8666302d81e5049e5de34c22701b3fbcc2ad33cb2f29a0b8948"},"source_path":"content/model-theory/basics/nonstandard-arithmetic.tex","source_problem_id":"c80:OLP-0653:problem:002","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":107,"sha256":"a421df3ec1538cee25236fd3df32008dcbc1b444465c36c542babc8dfaeed8d1"},"byte_end_exclusive":10241,"byte_start":10134,"end_line":196,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":193},"target_file":{"bytes":11837,"sha256":"bb810598cb1082b71860caf6d1178a7d8c34feddaa4a1bb54ba8eda62bf13706"},"target_path":"locale/id/content/model-theory/basics/nonstandard-arithmetic.tex","witnesses":{"rendered":["Tunjukkan bahwa tidak mungkin ada blok terbesar dalam model aritmetika tak standar."],"source":["Tunjukkan bahwa tidak mungkin ada blok terbesar"]}},"number":"11.3","physical_page":1240,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1240","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0653:problem:002","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0653"},{"chapter":"supplement:11","component":"supplement","id":"c80:OLP-0653:problem:003:supplement","local_reader_url":"reader.pdf#page=1240","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1240","combined_page":1240,"component_destination":"prob*.630","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=124","component_page":124,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0653","pdf_text_window":{"bytes":5166,"sha256":"a529b993e66b92ed63bf1ea100be28767699e1160ebf08cda6eeb25f02647d4f"},"printed_number":"11.4","source":{"block":{"bytes":1401,"sha256":"6296367f5f9d6aadd058c2d8c38798c6c801747c9b56a95c0ba0f02e81a0b92a"},"byte_end_exclusive":11299,"byte_start":9898,"end_line":226,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":194},"source_file":{"bytes":11319,"sha256":"dd7b887e3d6de8666302d81e5049e5de34c22701b3fbcc2ad33cb2f29a0b8948"},"source_path":"content/model-theory/basics/nonstandard-arithmetic.tex","source_problem_id":"c80:OLP-0653:problem:003","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":1577,"sha256":"3a467e49e0ef9f5ba193ff0ddbcefe107040d83ec29be8e43d30847c31c60e56"},"byte_end_exclusive":11820,"byte_start":10243,"end_line":229,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":198},"target_file":{"bytes":11837,"sha256":"bb810598cb1082b71860caf6d1178a7d8c34feddaa4a1bb54ba8eda62bf13706"},"target_path":"locale/id/content/model-theory/basics/nonstandard-arithmetic.tex","witnesses":{"rendered":["Misalkan L adalah bahasa orde pertama yang hanya memuat < sebagai simbol predikat","himpunan bagian berhingga atau kofinit"],"source":["Misalkan $\\Lang{L}$","sebagai !!{predicate} (selain $\\eq$)"]}},"number":"11.4","physical_page":1240,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1240","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0653:problem:003","source_reuse_count":1,"topic":"model-theory","unit_id":"OLP-0653"},{"chapter":"supplement:12","component":"supplement","id":"c80:OLP-0714:problem:001:supplement","local_reader_url":"reader.pdf#page=1243","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1243","combined_page":1243,"component_destination":"prob*.669","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=127","component_page":127,"decision_rule":"short_reference","native_unit_id":"OLP-0714","pdf_text_window":{"bytes":5997,"sha256":"58cbe5dd50845cd3566bdbd8109a6badaa92ba667d54a5966f2a17b568deeb7b"},"printed_number":"12.1","source":{"block":{"bytes":68,"sha256":"edb33b3fe835012295b23daa6763b93ad4bd4c7f77a98d3677404f71ae648117"},"byte_end_exclusive":1862,"byte_start":1794,"end_line":53,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":51},"source_file":{"bytes":4133,"sha256":"15c4d35ccd3a79ae4e165ca8c5195d8190a81e7fff32cf12fdd8279a35d2336c"},"source_path":"content/propositional-logic/syntax-and-semantics/completeness.tex","source_problem_id":"c80:OLP-0714:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":59,"sha256":"3cd67040413b0874b1d628bc944fb2725d7f399e935238ed4c5d3ebb415cd11a"},"byte_end_exclusive":1912,"byte_start":1853,"end_line":55,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":53},"target_file":{"bytes":4363,"sha256":"24e159096ae35f4e2836a89403ea4094b011096c118a48b2ccfc14940a1254e5"},"target_path":"locale/id/content/propositional-logic/syntax-and-semantics/completeness.tex","witnesses":{"rendered":["Lengkapi bukti Lema 12.4."],"source":["Lengkapi bukti \\olref{lem:truth}"]}},"number":"12.1","physical_page":1243,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1243","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0714:problem:001","source_reuse_count":1,"topic":"propositional-logic","unit_id":"OLP-0714"},{"chapter":"supplement:13","component":"supplement","id":"c80:OLP-0721:problem:001:supplement","local_reader_url":"reader.pdf#page=1246","mapping":{"combined_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1246","combined_page":1246,"component_destination":"prob*.693","component_href":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/04_OPENLOGIC_id_READER_SUPPLEMENT_80_20260904.pdf#page=130","component_page":130,"decision_rule":"formula_or_rule","native_unit_id":"OLP-0721","pdf_text_window":{"bytes":6286,"sha256":"38bebcc50b92b844bebac08887eca8a6ca952bade334adc5647b220c35531a72"},"printed_number":"13.1","source":{"block":{"bytes":218,"sha256":"79d972d7f1f8358f2bde37db0d81b10412bb7400bf8dfef9812221bc8fa75955"},"byte_end_exclusive":4305,"byte_start":4087,"end_line":100,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":96},"source_file":{"bytes":4325,"sha256":"394714c03cea3d400ca79ed47f0c4b47c496cb714a3fd8e5c03debec1ab55161"},"source_path":"content/sets-functions-relations/sets/proofs-about-sets.tex","source_problem_id":"c80:OLP-0721:problem:001","state":"verified_source_to_rendered_identity","target":{"block":{"bytes":274,"sha256":"338db5eff664cf9a5dfd6734ed5e6c7e8e71d92d3944892e73f8f51ac872856c"},"byte_end_exclusive":4817,"byte_start":4543,"end_line":104,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":99},"target_file":{"bytes":4834,"sha256":"e6c0e43723acc6df08c83678fd5b408e29805abf4f87b131756bb9aeea0189e8"},"target_path":"locale/id/content/sets-functions-relations/sets/proofs-about-sets.tex","witnesses":{"rendered":["Buktikan secara terperinci bahwa X ∪(X ∩Y) = X.","versi bukti yang singkat dan padat"],"source":["Buktikan secara terperinci bahwa $X \\cup (X \\cap Y) = X$","versi bukti yang singkat dan padat"]}},"number":"13.1","physical_page":1246,"reader_language":"id","reader_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf#page=1246","section_title_id":null,"solution_state":"not_audited","source_problem_id":"c80:OLP-0721:problem:001","source_reuse_count":1,"topic":"sets-functions-relations","unit_id":"OLP-0721"}],"reader":{"bytes":5754676,"language":"id","local_filename":"reader.pdf","pages":1255,"sha256":"1b763b8b15c9f28a1212d81ee3e3a3f60ee3212fe1ffa4620c947caf43c89930","url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/download/id-olp-0722-20260814/08_OPENLOGIC_id_STANDALONE_READER_ALL_722_20260905.pdf"},"release_url":"https://github.com/KokunoYumeto/OpenLogic-id/releases/tag/id-olp-0722-20260814","schema":"openlogic-teacher-selection/1","source_only":[{"finding":null,"id":"c80:OLP-0132:problem:001","reader_url":null,"reason":"edition_tag_disabled","source":{"block":{"bytes":92,"sha256":"cece0e45bae1f59ad660adb98178125f8a4171c62a94982d49eb36b9304eb27a"},"byte_end_exclusive":6548,"byte_start":6456,"end_line":160,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":158},"source_path":"content/first-order-logic/completeness/construction-of-model.tex","target":{"block":{"bytes":91,"sha256":"5e0524784ce06005e194ca70eb003e2f0eda00587ad8c9baf4c42b514ebe7c86"},"byte_end_exclusive":7176,"byte_start":7085,"end_line":174,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":172},"target_path":"locale/id/content/first-order-logic/completeness/construction-of-model.tex","unit_id":"OLP-0132"},{"finding":null,"id":"c80:OLP-0132:problem:002","reader_url":null,"reason":"edition_tag_disabled","source":{"block":{"bytes":81,"sha256":"dc3093f4aa2d6514b0c4dea95cf95de386dded395b58698e4e8f0493807c9555"},"byte_end_exclusive":11113,"byte_start":11032,"end_line":267,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":265},"source_path":"content/first-order-logic/completeness/construction-of-model.tex","target":{"block":{"bytes":80,"sha256":"9da7a8861eade5a9db3795ee829dd1dde1526e1840839ef87203fc48ce5b24ac"},"byte_end_exclusive":12182,"byte_start":12102,"end_line":286,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":284},"target_path":"locale/id/content/first-order-logic/completeness/construction-of-model.tex","unit_id":"OLP-0132"},{"finding":null,"id":"c80:OLP-0132:problem:003","reader_url":null,"reason":"edition_tag_disabled","source":{"block":{"bytes":80,"sha256":"7da7eaa42f11e37b7c225b4703102e4ab54240bfe75f901a677367458de251e8"},"byte_end_exclusive":11255,"byte_start":11175,"end_line":275,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":273},"source_path":"content/first-order-logic/completeness/construction-of-model.tex","target":{"block":{"bytes":79,"sha256":"ba084f9e8f6cb6228299e4a4f71f9fb63ef5220c6dc215ed99cd508b54365f5b"},"byte_end_exclusive":12317,"byte_start":12238,"end_line":294,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":292},"target_path":"locale/id/content/first-order-logic/completeness/construction-of-model.tex","unit_id":"OLP-0132"},{"finding":null,"id":"c80:OLP-0163:problem:001","reader_url":null,"reason":"edition_tag_disabled","source":{"block":{"bytes":68,"sha256":"fc475ea0d818beb3778017116a91998bb02a8ad6291847bcc10f57cf4de61721"},"byte_end_exclusive":16243,"byte_start":16175,"end_line":380,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":378},"source_path":"content/first-order-logic/syntax-and-semantics/satisfaction.tex","target":{"block":{"bytes":69,"sha256":"815fce120d9d83c446ff8dee4e955879b8ef29173664e1925475cdd9be7b1cb8"},"byte_end_exclusive":17275,"byte_start":17206,"end_line":391,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":389},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/satisfaction.tex","unit_id":"OLP-0163"},{"finding":null,"id":"c80:OLP-0163:problem:002","reader_url":null,"reason":"edition_tag_disabled","source":{"block":{"bytes":69,"sha256":"adce06dc304e28a3108e71ae09af5db4eb415e8d97d415d0684c6a7c4b5d3cbc"},"byte_end_exclusive":16560,"byte_start":16491,"end_line":397,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":395},"source_path":"content/first-order-logic/syntax-and-semantics/satisfaction.tex","target":{"block":{"bytes":70,"sha256":"b8ee72e4f24f5f54218c34bbca010d5f5e8a2b8747866fdb83299238aac8ea1b"},"byte_end_exclusive":17594,"byte_start":17524,"end_line":408,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":406},"target_path":"locale/id/content/first-order-logic/syntax-and-semantics/satisfaction.tex","unit_id":"OLP-0163"},{"finding":null,"id":"c80:OLP-0466:problem:001","reader_url":null,"reason":"edition_tag_disabled","source":{"block":{"bytes":89,"sha256":"0d51a2a5867d33f473d39ec2efe6715a611fca347e313874e2999da69032813b"},"byte_end_exclusive":1945,"byte_start":1856,"end_line":51,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":49},"source_path":"content/normal-modal-logic/tableaux/more-soundness.tex","target":{"block":{"bytes":86,"sha256":"d8064de58961206e7d08f9655f21273f728c9efed8d1fc84b19202213d1eaa8f"},"byte_end_exclusive":2018,"byte_start":1932,"end_line":53,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":1,"start_line":51},"target_path":"locale/id/content/normal-modal-logic/tableaux/more-soundness.tex","unit_id":"OLP-0466"},{"finding":null,"id":"c80:OLP-0466:problem:002","reader_url":null,"reason":"edition_tag_disabled","source":{"block":{"bytes":89,"sha256":"3bb4c7906ab23b764687a1769865ca7206c07eb7423a29da281aa4c9b8b27c2a"},"byte_end_exclusive":3548,"byte_start":3459,"end_line":89,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":87},"source_path":"content/normal-modal-logic/tableaux/more-soundness.tex","target":{"block":{"bytes":86,"sha256":"0d6e4f792561ec68ea82d9776f465b9a54599b1634f90234b5027d2987efa694"},"byte_end_exclusive":3631,"byte_start":3545,"end_line":92,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":2,"start_line":90},"target_path":"locale/id/content/normal-modal-logic/tableaux/more-soundness.tex","unit_id":"OLP-0466"},{"finding":null,"id":"c80:OLP-0466:problem:003","reader_url":null,"reason":"edition_tag_disabled","source":{"block":{"bytes":89,"sha256":"61708d91b6b49154cb03fa878db0e93d9bf502da5dc6ca3c45eda43e81a7df71"},"byte_end_exclusive":5362,"byte_start":5273,"end_line":131,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":129},"source_path":"content/normal-modal-logic/tableaux/more-soundness.tex","target":{"block":{"bytes":86,"sha256":"d2421673045223d45304012399b3232db565bfa87e81258706331c4cb7b17c6c"},"byte_end_exclusive":5468,"byte_start":5382,"end_line":136,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":3,"start_line":134},"target_path":"locale/id/content/normal-modal-logic/tableaux/more-soundness.tex","unit_id":"OLP-0466"},{"finding":null,"id":"c80:OLP-0466:problem:004","reader_url":null,"reason":"edition_tag_disabled","source":{"block":{"bytes":89,"sha256":"b2f91ddc8196d220e7f25e03bf86f99840dd9e9cba0414c9dd54dab922ebe195"},"byte_end_exclusive":7412,"byte_start":7323,"end_line":175,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":173},"source_path":"content/normal-modal-logic/tableaux/more-soundness.tex","target":{"block":{"bytes":86,"sha256":"39c52423acb86775088e8c3ff6764e7e393332e49ed22dae6a16781f1ac48117"},"byte_end_exclusive":7605,"byte_start":7519,"end_line":182,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":4,"start_line":180},"target_path":"locale/id/content/normal-modal-logic/tableaux/more-soundness.tex","unit_id":"OLP-0466"},{"finding":null,"id":"c80:OLP-0466:problem:005","reader_url":null,"reason":"edition_tag_disabled","source":{"block":{"bytes":90,"sha256":"eebd4507d20b7368f72b6e406d03b69e7219c7860c88d8df45a5404ce8678c77"},"byte_end_exclusive":9408,"byte_start":9318,"end_line":219,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":217},"source_path":"content/normal-modal-logic/tableaux/more-soundness.tex","target":{"block":{"bytes":87,"sha256":"a1fe1819d6c027bf06494097b1e86ce5c72baadb4c7406faa19993d69c43db2d"},"byte_end_exclusive":9666,"byte_start":9579,"end_line":226,"environment":"prob","environments":[],"labels":[],"literal_labels":[],"ordinal":5,"start_line":224},"target_path":"locale/id/content/normal-modal-logic/tableaux/more-soundness.tex","unit_id":"OLP-0466"},{"finding":{"absent_literal_phrase":"Tentukan pernyataan mana di antara pernyataan berikut","chapter":{"bytes":759,"member":"source/locale/id/content/applied-modal-logic/epistemic-logic/epistemic-logic.tex","sha256":"b56ee964dbc81981092813d9bf9ae0ff93578bd540b2c1cb2d3168fa7f2bdede"},"defer_style":{"bytes":4936,"member":"OpenLogic-9620cc73f9c8e0ad003c514a5d3748f29611c4c0/sty/open-logic-defer.sty","sha256":"303d1930a644e77e6a8ba2071e86b4c9ea031ab5927cff4afc21337f427099f3"},"fol_context":true,"observed_path":"content/applied-modal-logic/epistemic-logic/truth-at-w.tex","source_problem_id":"c80:OLP-0486:problem:001","state":"source_only_missing_deferred_chapter_flush"},"id":"c80:OLP-0486:problem:001","reader_url":null,"reason":"missing_deferred_flush","source":{"block":{"bytes":465,"sha256":"3ffffe479012ebb4caeed09a677b1b6fdb40d1056982f94c7fec2780d8317a61"},"byte_end_exclusive":4045,"byte_start":3580,"end_line":89,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":78},"source_path":"content/applied-modal-logic/epistemic-logic/truth-at-w.tex","target":{"block":{"bytes":487,"sha256":"7d57dcbdab1cf68bf9b286a60b2b5cc49bb404b92b244c39c4d1459c909a5cac"},"byte_end_exclusive":4292,"byte_start":3805,"end_line":94,"environment":"prob","environments":["enumerate"],"labels":[],"literal_labels":[],"ordinal":1,"start_line":83},"target_path":"locale/id/content/applied-modal-logic/epistemic-logic/truth-at-w.tex","unit_id":"OLP-0486"}],"topics":{"applied-modal-logic":{"en":"Applied modal logic","id":"Logika modal terapan"},"computability":{"en":"Computability","id":"Komputabilitas"},"counterfactuals":{"en":"Counterfactuals","id":"Kontrafaktual"},"first-order-logic":{"en":"First-order logic","id":"Logika orde pertama"},"incompleteness":{"en":"Incompleteness","id":"Ketaklengkapan"},"intuitionistic-logic":{"en":"Intuitionistic logic","id":"Logika intuisionistik"},"lambda-calculus":{"en":"Lambda calculus","id":"Kalkulus lambda"},"many-valued-logic":{"en":"Many-valued logic","id":"Logika bernilai banyak"},"methods":{"en":"Methods","id":"Metode"},"model-theory":{"en":"Model theory","id":"Teori model"},"normal-modal-logic":{"en":"Normal modal logic","id":"Logika modal normal"},"proof-theory":{"en":"Proof theory","id":"Teori bukti"},"propositional-logic":{"en":"Propositional logic","id":"Logika proposisional"},"second-order-logic":{"en":"Second-order logic","id":"Logika orde kedua"},"set-theory":{"en":"Set theory","id":"Teori himpunan"},"sets-functions-relations":{"en":"Sets, functions and relations","id":"Himpunan, fungsi, dan relasi"},"turing-machines":{"en":"Turing machines","id":"Mesin Turing"}}}
