{"id":"https://openalex.org/W1970782121","doi":"https://doi.org/10.1137/0214049","title":"The Implication Problem for Functional and Inclusion Dependencies is Undecidable","display_name":"The Implication Problem for Functional and Inclusion Dependencies is Undecidable","publication_year":1985,"publication_date":"1985-08-01","ids":{"openalex":"https://openalex.org/W1970782121","doi":"https://doi.org/10.1137/0214049","mag":"1970782121"},"language":"en","primary_location":{"id":"doi:10.1137/0214049","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0214049","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034065279","display_name":"Ashok K. Chandra","orcid":"https://orcid.org/0000-0002-8818-171X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ashok K. Chandra","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000059818","display_name":"Moshe Y. Vardi","orcid":"https://orcid.org/0000-0002-0661-5773"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Moshe Y. Vardi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034065279"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4467,"has_fulltext":false,"cited_by_count":180,"citation_normalized_percentile":{"value":0.94429203,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"14","issue":"3","first_page":"671","last_page":"677"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9983000159263611,"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":0.9983000159263611,"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":0.998199999332428,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9958000183105469,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.9573879241943359},{"id":"https://openalex.org/keywords/functional-dependency","display_name":"Functional dependency","score":0.8386455774307251},{"id":"https://openalex.org/keywords/dependency-theory","display_name":"Dependency theory (database theory)","score":0.8356118202209473},{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.811654269695282},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7909563779830933},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6287277936935425},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.5651649236679077},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5003089904785156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49594244360923767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45875027775764465},{"id":"https://openalex.org/keywords/inclusion","display_name":"Inclusion (mineral)","score":0.45671501755714417},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40322303771972656},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3761904239654541},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1277112364768982},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1121792197227478},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.08883598446846008}],"concepts":[{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.9573879241943359},{"id":"https://openalex.org/C26320393","wikidata":"https://www.wikidata.org/wiki/Q597053","display_name":"Functional dependency","level":3,"score":0.8386455774307251},{"id":"https://openalex.org/C40683218","wikidata":"https://www.wikidata.org/wiki/Q5260625","display_name":"Dependency theory (database theory)","level":4,"score":0.8356118202209473},{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.811654269695282},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7909563779830933},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6287277936935425},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.5651649236679077},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5003089904785156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49594244360923767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45875027775764465},{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.45671501755714417},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40322303771972656},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3761904239654541},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1277112364768982},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1121792197227478},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08883598446846008},{"id":"https://openalex.org/C107993555","wikidata":"https://www.wikidata.org/wiki/Q1662673","display_name":"Gender studies","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0214049","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0214049","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.8299999833106995,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1995628728","https://openalex.org/W2000773957","https://openalex.org/W2004459113","https://openalex.org/W2005032394","https://openalex.org/W2023663289","https://openalex.org/W2050480346","https://openalex.org/W2059693475","https://openalex.org/W2111203646","https://openalex.org/W2135105491","https://openalex.org/W2172111502"],"related_works":["https://openalex.org/W1970782121","https://openalex.org/W1980507082","https://openalex.org/W2072918301","https://openalex.org/W2293300167","https://openalex.org/W2523801039","https://openalex.org/W1574917273","https://openalex.org/W2028890835","https://openalex.org/W4240380820","https://openalex.org/W2047223671","https://openalex.org/W2010405333"],"abstract_inverted_index":{"The":[0],"implication":[1,28,59],"problem":[2,29,60],"for":[3,32,66,74],"a":[4,12],"class":[5,34],"of":[6,15,35],"dependencies":[7,47,71,76],"is":[8,30,61],"the":[9,27,33,45,58],"following:":[10],"given":[11],"finite":[13],"set":[14],"dependencies,":[16],"determine":[17],"if":[18,44],"they":[19],"logically":[20],"imply":[21],"another":[22],"dependency.":[23],"We":[24],"show":[25],"that":[26,57],"undecidable":[31],"functional":[36,67,78],"and":[37,68,72],"inclusion":[38,46,70,75],"dependencies.":[39,79],"This":[40],"holds":[41],"true":[42],"even":[43],"are":[48],"restricted":[49],"to":[50,63],"be":[51,55,64],"binary.":[52],"It":[53],"may":[54],"noted":[56],"known":[62],"decidable":[65],"unary":[69],"also":[73],"without":[77]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":11}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
