{"id":"https://openalex.org/W2049462023","doi":"https://doi.org/10.1145/1811123.1811124","title":"A note on disjunctive form tautologies","display_name":"A note on disjunctive form tautologies","publication_year":1973,"publication_date":"1973-04-01","ids":{"openalex":"https://openalex.org/W2049462023","doi":"https://doi.org/10.1145/1811123.1811124","mag":"2049462023"},"language":"en","primary_location":{"id":"doi:10.1145/1811123.1811124","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1811123.1811124","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1811123.1811124","source":{"id":"https://openalex.org/S4210206003","display_name":"ACM SIGACT News","issn_l":"0163-5700","issn":["0163-5700","1943-5827"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGACT News","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/1811123.1811124","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101941206","display_name":"Michel Bauer","orcid":"https://orcid.org/0000-0001-6144-7613"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"M. Bauer","raw_affiliation_strings":["University of Toronto"],"affiliations":[{"raw_affiliation_string":"University of Toronto","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109246182","display_name":"Dani\u00ebl Brand","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"D. Brand","raw_affiliation_strings":["University of Toronto"],"affiliations":[{"raw_affiliation_string":"University of Toronto","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088362612","display_name":"Mareike Fischer","orcid":"https://orcid.org/0000-0002-9429-0859"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Fischer","raw_affiliation_strings":["Massachusetts Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037176679","display_name":"A. Meyer","orcid":"https://orcid.org/0000-0001-9598-6623"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Meyer","raw_affiliation_strings":["Massachusetts Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063801356","display_name":"Mike Paterson","orcid":"https://orcid.org/0000-0003-0426-3468"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Paterson","raw_affiliation_strings":["University of Warwick"],"affiliations":[{"raw_affiliation_string":"University of Warwick","institution_ids":["https://openalex.org/I39555362"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101941206"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":8.2546,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.9683321,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5","issue":"2","first_page":"17","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.996399998664856,"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":0.996399998664856,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9962999820709229,"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"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/tautology","display_name":"Tautology (logic)","score":0.7415627241134644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6429812908172607},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5747064352035522},{"id":"https://openalex.org/keywords/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.5318773984909058},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5128672122955322},{"id":"https://openalex.org/keywords/disjunct","display_name":"Disjunct","score":0.4636676609516144},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45381468534469604},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.4512908458709717},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4383549988269806},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.435228168964386},{"id":"https://openalex.org/keywords/decision-problem","display_name":"Decision problem","score":0.43083125352859497},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.42503949999809265},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.415388822555542},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.3384855389595032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25027933716773987},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15693673491477966},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.13767009973526},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09021341800689697}],"concepts":[{"id":"https://openalex.org/C166374712","wikidata":"https://www.wikidata.org/wiki/Q209555","display_name":"Tautology (logic)","level":5,"score":0.7415627241134644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6429812908172607},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5747064352035522},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.5318773984909058},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5128672122955322},{"id":"https://openalex.org/C2781445333","wikidata":"https://www.wikidata.org/wiki/Q898602","display_name":"Disjunct","level":3,"score":0.4636676609516144},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45381468534469604},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.4512908458709717},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4383549988269806},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.435228168964386},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.43083125352859497},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.42503949999809265},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.415388822555542},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.3384855389595032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25027933716773987},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15693673491477966},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.13767009973526},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09021341800689697},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1811123.1811124","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1811123.1811124","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1811123.1811124","source":{"id":"https://openalex.org/S4210206003","display_name":"ACM SIGACT News","issn_l":"0163-5700","issn":["0163-5700","1943-5827"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGACT News","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/1811123.1811124","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1811123.1811124","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/1811123.1811124","source":{"id":"https://openalex.org/S4210206003","display_name":"ACM SIGACT News","issn_l":"0163-5700","issn":["0163-5700","1943-5827"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGACT News","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7099999785423279,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G4895325129","display_name":null,"funder_award_id":"N00014-70-A-0362-0006","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2049462023.pdf","grobid_xml":"https://content.openalex.org/works/W2049462023.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2036265926","https://openalex.org/W2401610261"],"related_works":["https://openalex.org/W2022840750","https://openalex.org/W1492881020","https://openalex.org/W1859833606","https://openalex.org/W2995607835","https://openalex.org/W2373482785","https://openalex.org/W1969569184","https://openalex.org/W1892325353","https://openalex.org/W2060997531","https://openalex.org/W4387656450","https://openalex.org/W2371934321"],"abstract_inverted_index":{"Cook":[0],"[1]":[1],"and":[2],"Karp":[3],"[2]":[4],"have":[5],"shown":[6],"that":[7],"a":[8,22,33,40,55],"large":[9],"class":[10],"of":[11,27],"combinatorial":[12],"decision":[13],"problems":[14],"can":[15],"be":[16],"solved":[17],"in":[18,24,50],"time":[19,35],"bounded":[20],"by":[21],"polynomial":[23,34],"the":[25,28,51],"size":[26],"problem":[29],"iff":[30],"there":[31],"is":[32,54],"procedure":[36],"for":[37],"deciding":[38],"whether":[39],"disjunctive":[41],"formula":[42],"with":[43],"at":[44],"most":[45],"three":[46],"literals":[47],"per":[48],"disjunct":[49],"propositional":[52],"calculus":[53],"tautology.":[56]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
