{"id":"https://openalex.org/W2024618947","doi":"https://doi.org/10.1017/s1755020309090145","title":"RELEVANCE LOGICS AND RELATION ALGEBRAS","display_name":"RELEVANCE LOGICS AND RELATION ALGEBRAS","publication_year":2009,"publication_date":"2009-03-01","ids":{"openalex":"https://openalex.org/W2024618947","doi":"https://doi.org/10.1017/s1755020309090145","mag":"2024618947"},"language":"en","primary_location":{"id":"doi:10.1017/s1755020309090145","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1755020309090145","pdf_url":null,"source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Review of Symbolic Logic","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/A5064142183","display_name":"Katalin Bimb\u00f3","orcid":"https://orcid.org/0000-0002-6769-9704"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"KATALIN BIMB\u00d3","raw_affiliation_strings":["Department of Philosophy, University of Alberta"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Philosophy, University of Alberta","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104193079","display_name":"J. Michael Dunn","orcid":null},"institutions":[{"id":"https://openalex.org/I592451","display_name":"Indiana University","ror":"https://ror.org/01kg8sb98","country_code":"US","type":"education","lineage":["https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. MICHAEL DUNN","raw_affiliation_strings":["School of Informatics, Indiana University","School of Informatics,Indiana University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Informatics, Indiana University","institution_ids":["https://openalex.org/I592451"]},{"raw_affiliation_string":"School of Informatics,Indiana University","institution_ids":["https://openalex.org/I592451"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051809424","display_name":"Roger D. Maddux","orcid":"https://orcid.org/0000-0003-3810-2048"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"ROGER D. MADDUX","raw_affiliation_strings":["Department of Mathematics, Iowa State University","DEPARTMENT OF MATHEMATICS IOWA STATE UNIVERSITY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"DEPARTMENT OF MATHEMATICS IOWA STATE UNIVERSITY","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051809424","https://openalex.org/A5064142183","https://openalex.org/A5104193079"],"corresponding_institution_ids":["https://openalex.org/I154425047","https://openalex.org/I173911158","https://openalex.org/I592451"],"apc_list":null,"apc_paid":null,"fwci":0.9055,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.80170068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2","issue":"1","first_page":"102","last_page":"131"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9990000128746033,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9933000206947327,"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/soundness","display_name":"Soundness","score":0.9038866758346558},{"id":"https://openalex.org/keywords/relevance","display_name":"Relevance (law)","score":0.7616685628890991},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.673797070980072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6221168041229248},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5602998733520508},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5363683700561523},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.4858636260032654},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35646045207977295},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3263748288154602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2951089143753052},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2611147165298462},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20808181166648865},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1147698163986206},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07308518886566162}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.9038866758346558},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.7616685628890991},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.673797070980072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6221168041229248},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5602998733520508},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5363683700561523},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.4858636260032654},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35646045207977295},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3263748288154602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2951089143753052},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2611147165298462},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20808181166648865},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1147698163986206},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07308518886566162},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s1755020309090145","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1755020309090145","pdf_url":null,"source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Review of Symbolic Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W35866047","https://openalex.org/W40425547","https://openalex.org/W60391671","https://openalex.org/W170302495","https://openalex.org/W622919989","https://openalex.org/W637577631","https://openalex.org/W647071913","https://openalex.org/W1485574327","https://openalex.org/W1505359507","https://openalex.org/W1531813481","https://openalex.org/W1536217426","https://openalex.org/W1554516311","https://openalex.org/W1587192658","https://openalex.org/W1593617641","https://openalex.org/W1844301878","https://openalex.org/W1968426428","https://openalex.org/W1976553883","https://openalex.org/W1992205482","https://openalex.org/W1997380601","https://openalex.org/W2002791110","https://openalex.org/W2003017965","https://openalex.org/W2006006495","https://openalex.org/W2008576816","https://openalex.org/W2009732936","https://openalex.org/W2018944629","https://openalex.org/W2023605209","https://openalex.org/W2026564669","https://openalex.org/W2033274602","https://openalex.org/W2041574133","https://openalex.org/W2056017060","https://openalex.org/W2056240511","https://openalex.org/W2066761871","https://openalex.org/W2080928384","https://openalex.org/W2084171043","https://openalex.org/W2093397547","https://openalex.org/W2140357412","https://openalex.org/W2153956925","https://openalex.org/W2214388093","https://openalex.org/W2315064349","https://openalex.org/W2316726503","https://openalex.org/W2498884472","https://openalex.org/W3128976560","https://openalex.org/W3135943643","https://openalex.org/W3145287507","https://openalex.org/W4210848565","https://openalex.org/W4233253115","https://openalex.org/W4234491120","https://openalex.org/W4239428245","https://openalex.org/W4250033574","https://openalex.org/W4299601312","https://openalex.org/W6688822231"],"related_works":["https://openalex.org/W1560506770","https://openalex.org/W1639411684","https://openalex.org/W4298974867","https://openalex.org/W2129933223","https://openalex.org/W3002088564","https://openalex.org/W2226910958","https://openalex.org/W1994524667","https://openalex.org/W2163432423","https://openalex.org/W4295160522","https://openalex.org/W4287323322"],"abstract_inverted_index":{"Relevance":[0],"logics":[1,80,94],"are":[2,76],"known":[3],"to":[4,26],"be":[5],"sound":[6],"and":[7,36,81,95,111],"complete":[8],"for":[9,121],"relational":[10],"semantics":[11,31],"with":[12,24],"a":[13,53,107],"ternary":[14],"accessibility":[15],"relation.":[16],"This":[17],"paper":[18],"investigates":[19],"the":[20,50,63,116],"problem":[21],"of":[22,29,39,52,57,62,66,86],"adequacy":[23],"respect":[25],"special":[27],"kinds":[28],"dynamic":[30],"(i.e.,":[32],"proper":[33],"relation":[34,82,96],"algebras":[35,97],"relevant":[37],"families":[38],"relations).":[40],"We":[41,47],"prove":[42,49],"several":[43],"soundness":[44],"results":[45,70],"here.":[46],"also":[48],"completeness":[51],"certain":[54,87],"positive":[55],"fragment":[56,65],"R":[58],"as":[59,61],"well":[60],"first-degree":[64],"relevance":[67,79,93,123],"logics.":[68,124],"These":[69],"show":[71],"that":[72],"some":[73],"core":[74],"ideas":[75],"shared":[77],"between":[78],"algebras.":[83],"Some":[84],"details":[85],"incompleteness":[88],"results,":[89],"however,":[90],"pinpoint":[91],"where":[92],"diverge.":[98],"To":[99],"carry":[100],"out":[101],"these":[102],"semantic":[103],"investigations,":[104],"we":[105],"define":[106],"new":[108,112],"tableaux":[109],"formalization":[110],"sequent":[113],"calculi":[114],"(with":[115],"single":[117],"cut":[118],"rule":[119],"admissible)":[120],"various":[122]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}