{"id":"https://openalex.org/W4384652264","doi":"https://doi.org/10.1145/3632881","title":"Orthologic with Axioms","display_name":"Orthologic with Axioms","publication_year":2024,"publication_date":"2024-01-02","ids":{"openalex":"https://openalex.org/W4384652264","doi":"https://doi.org/10.1145/3632881"},"language":"en","primary_location":{"id":"doi:10.1145/3632881","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3632881","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3632881","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3632881","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027080925","display_name":"Simon Guilloud","orcid":"https://orcid.org/0000-0001-8179-7549"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Simon Guilloud","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-8179-7549","affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008699657","display_name":"Viktor Kun\u010dak","orcid":"https://orcid.org/0000-0001-7044-9522"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Viktor Kun\u010dak","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-7044-9522","affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027080925"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":0.6294,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70778228,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"8","issue":"POPL","first_page":"1150","last_page":"1178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6907616257667542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6742243766784668},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.623288631439209},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4940851032733917},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.48464542627334595},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.4793601632118225},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.47618189454078674},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.47505661845207214},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.4623929262161255},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.43265509605407715},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35201555490493774},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.21044111251831055},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.205611914396286},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19374138116836548},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.18103516101837158},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.1361636519432068},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.13268589973449707}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6907616257667542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6742243766784668},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.623288631439209},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4940851032733917},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.48464542627334595},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.4793601632118225},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.47618189454078674},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.47505661845207214},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.4623929262161255},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.43265509605407715},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35201555490493774},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.21044111251831055},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.205611914396286},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19374138116836548},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.18103516101837158},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.1361636519432068},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.13268589973449707},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3632881","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3632881","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3632881","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2307.07569","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.07569","pdf_url":"https://arxiv.org/pdf/2307.07569","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:305982","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/201610","pdf_url":"https://infoscience.epfl.ch/bitstreams/ff647f12-a8ea-4237-8340-e75067135609/download","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"}],"best_oa_location":{"id":"doi:10.1145/3632881","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3632881","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3632881","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G882080425","display_name":"Magnetic and palaeoenvironmental tracer studies in Russian lake sediments","funder_award_id":"48550","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4384652264.pdf","grobid_xml":"https://content.openalex.org/works/W4384652264.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W105203805","https://openalex.org/W344174780","https://openalex.org/W1413225879","https://openalex.org/W1506120207","https://openalex.org/W1514516864","https://openalex.org/W1549008998","https://openalex.org/W1766332311","https://openalex.org/W1969965298","https://openalex.org/W1984341203","https://openalex.org/W1989314289","https://openalex.org/W1991670662","https://openalex.org/W1999468161","https://openalex.org/W2010104109","https://openalex.org/W2010786875","https://openalex.org/W2028869192","https://openalex.org/W2036265926","https://openalex.org/W2039977878","https://openalex.org/W2044007958","https://openalex.org/W2045900383","https://openalex.org/W2055247079","https://openalex.org/W2060924592","https://openalex.org/W2076698873","https://openalex.org/W2079107830","https://openalex.org/W2093397547","https://openalex.org/W2095689360","https://openalex.org/W2100738443","https://openalex.org/W2111353076","https://openalex.org/W2133527541","https://openalex.org/W2151773188","https://openalex.org/W2158600037","https://openalex.org/W2162621793","https://openalex.org/W2417567569","https://openalex.org/W2944994753","https://openalex.org/W2962687875","https://openalex.org/W2963870476","https://openalex.org/W3005614952","https://openalex.org/W3126996113","https://openalex.org/W3192359381","https://openalex.org/W4205979273","https://openalex.org/W4206264042","https://openalex.org/W4226070200","https://openalex.org/W4241609463","https://openalex.org/W4245267086","https://openalex.org/W4307731888","https://openalex.org/W4328125640","https://openalex.org/W4384471458","https://openalex.org/W6967205413"],"related_works":["https://openalex.org/W2972379433","https://openalex.org/W2989332944","https://openalex.org/W2021891065","https://openalex.org/W2951901777","https://openalex.org/W2283591084","https://openalex.org/W4298267346","https://openalex.org/W4300942089","https://openalex.org/W1838930226","https://openalex.org/W3106203864","https://openalex.org/W2009544487"],"abstract_inverted_index":{"We":[0,45,104,139,156],"study":[1],"the":[2,63,80,86,99,214],"proof":[3,69,208,211],"theory":[4],"and":[5,22,49,166,171,206,248],"algorithms":[6],"for":[7,53,71,112,127,133,174,195,226],"orthologic,":[8,219],"a":[9,55,68,91,106,117,124,204,227,237,242],"logical":[10],"system":[11,70,81,160,212],"based":[12],"on":[13],"ortholattices,":[14],"which":[15,97,115],"have":[16],"shown":[17],"practical":[18],"relevance":[19],"in":[20,90,135,152,233],"simplification":[21],"normalization":[23],"of":[24,58,79,88,109,145,163,178,216,231,244],"verification":[25],"conditions.":[26],"Ortholattices":[27],"weaken":[28],"Boolean":[29,42],"algebras":[30],"while":[31],"having":[32],"polynomial-time":[33],"equivalence":[34],"checking":[35],"that":[36,83,142,158],"is":[37,82,172],"sound":[38,205],"with":[39,74,101,154,193,246],"respect":[40],"to":[41,93],"algebra":[43],"semantics.":[44],"generalize":[46],"ortholattice":[47],"reasoning":[48,175],"obtain":[50,241],"an":[51],"algorithm":[52,126],"proving":[54],"larger":[56],"class":[57],"classically":[59],"valid":[60],"formulas.":[61],"As":[62,236],"key":[64],"result,":[65],"we":[66,122,186,240],"analyze":[67],"orthologic":[72,153,159,190],"augmented":[73],"axioms.":[75,155],"An":[76],"important":[77],"feature":[78],"it":[84],"limits":[85],"number":[87,230],"formulas":[89,150],"sequent":[92],"at":[94],"most":[95],"two,":[96],"makes":[98],"extension":[100],"axioms":[102],"non-trivial.":[103],"show":[105,141,157],"generalized":[107],"form":[108],"cut":[110],"elimination":[111],"this":[113],"system,":[114],"implies":[116,213],"sub-formula":[118],"property.":[119],"From":[120],"there":[121],"derive":[123],"cubic-time":[125],"provability":[128],"from":[129],"axioms,":[130,185],"or":[131],"equivalently,":[132],"validity":[134],"finitely":[136],"presented":[137],"ortholattices.":[138],"further":[140],"propositional":[143,179,189,218],"resolution":[144,162,170],"width":[146,164],"5":[147],"proves":[148],"all":[149],"provable":[151],"subsumes":[161],"2":[165],"arbitrarily":[167],"wide":[168],"unit":[169],"complete":[173,207],"about":[176],"generalizations":[177],"Horn":[180],"clauses.":[181],"Moving":[182],"beyond":[183],"ground":[184],"introduce":[187],"effectively":[188,217],"(by":[191],"analogy":[192],"EPR":[194],"classical":[196],"logic),":[197],"presenting":[198],"its":[199,223],"semantics":[200],"as":[201,203,220,222],"well":[202,221],"system.":[209],"Our":[210],"decidability":[215],"fixed-parameter":[224],"tractability":[225],"bounded":[228],"maximal":[229],"variables":[232],"each":[234],"axiom.":[235],"special":[238],"case,":[239],"generalization":[243],"Datalog":[245],"negation":[247],"disjunction.":[249]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
