{"id":"https://openalex.org/W2202030908","doi":"https://doi.org/10.2168/lmcs-11(3:23)2015","title":"Exact Unification and Admissibility","display_name":"Exact Unification and Admissibility","publication_year":2015,"publication_date":"2015-09-28","ids":{"openalex":"https://openalex.org/W2202030908","doi":"https://doi.org/10.2168/lmcs-11(3:23)2015","mag":"2202030908"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-11(3:23)2015","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-11(3:23)2015","pdf_url":"https://lmcs.episciences.org/1599/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/1599/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038446877","display_name":"George Metcalfe","orcid":"https://orcid.org/0000-0001-7610-404X"},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"George Metcalfe","raw_affiliation_strings":["Mathematical Institute, University of Bern, Switzerland"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004265800","display_name":"Leonardo Manuel Cabrer","orcid":"https://orcid.org/0000-0003-4059-6868"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Leonardo Cabrer","raw_affiliation_strings":["Department of Statistics, Computer Science and Applications, University of Florence, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Computer Science and Applications, University of Florence, Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038446877"],"corresponding_institution_ids":["https://openalex.org/I118564535"],"apc_list":null,"apc_paid":null,"fwci":0.7277,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75380416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"Volume 11, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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":0.9965000152587891,"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/T11567","display_name":"semigroups and automata theory","score":0.9950000047683716,"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/unification","display_name":"Unification","score":0.9082872867584229},{"id":"https://openalex.org/keywords/finitary","display_name":"Finitary","score":0.8678888082504272},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.6370649337768555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5692281723022461},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.46319881081581116},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4255329668521881},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41581153869628906},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.4130539894104004},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.4120137095451355},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4041231870651245},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34626924991607666},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2722969949245453},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09227010607719421}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.9082872867584229},{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.8678888082504272},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.6370649337768555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5692281723022461},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.46319881081581116},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4255329668521881},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41581153869628906},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.4130539894104004},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.4120137095451355},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4041231870651245},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34626924991607666},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2722969949245453},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09227010607719421},{"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/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2168/lmcs-11(3:23)2015","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-11(3:23)2015","pdf_url":"https://lmcs.episciences.org/1599/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1508.04360","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1508.04360","pdf_url":"https://arxiv.org/pdf/1508.04360","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:boris.unibe.ch:74480","is_oa":true,"landing_page_url":"https://boris.unibe.ch/74480/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401086","display_name":"Bern Open Repository and Information System (University of Bern)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118564535","host_organization_name":"University of Bern","host_organization_lineage":["https://openalex.org/I118564535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Metcalfe, George; Cabrer, Leonardo Manuel (2015). Exact Unification and Admissibility. Logical methods in computer science, 11(3), pp. 1-15. Department of Theoretical Computer Science, Technical University of Braunschweig 10.2168/LMCS-11(3:23)2015 <http://dx.doi.org/10.2168/LMCS-11(3:23)2015>","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:fb60333463244a02b7dfac564ceda68c","is_oa":true,"landing_page_url":"https://doaj.org/article/fb60333463244a02b7dfac564ceda68c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 11, Issue 3 (2015)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-11(3:23)2015","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-11(3:23)2015","pdf_url":"https://lmcs.episciences.org/1599/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7699999809265137,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1323383031","display_name":null,"funder_award_id":"FP7/2007-2013","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G3213885439","display_name":null,"funder_award_id":"146748","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G3730697746","display_name":"Subband filter design for efficient processing and coding of digital television","funder_award_id":"32620","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4104599821","display_name":null,"funder_award_id":"FP7/2007-2013","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4388427807","display_name":"Helvetia Sacra.","funder_award_id":"46748","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4505449834","display_name":null,"funder_award_id":"200021_146748","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4836148144","display_name":null,"funder_award_id":"20002","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5298999349","display_name":null,"funder_award_id":"326202","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G993971353","display_name":null,"funder_award_id":"200021","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/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"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/W2202030908.pdf","grobid_xml":"https://content.openalex.org/works/W2202030908.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W32994200","https://openalex.org/W61355775","https://openalex.org/W1529501154","https://openalex.org/W1556894108","https://openalex.org/W1566552629","https://openalex.org/W1972774585","https://openalex.org/W1973489930","https://openalex.org/W1977631992","https://openalex.org/W1980141941","https://openalex.org/W1981448743","https://openalex.org/W1982890778","https://openalex.org/W1986473353","https://openalex.org/W1989441839","https://openalex.org/W2004455295","https://openalex.org/W2016251012","https://openalex.org/W2023648368","https://openalex.org/W2023712626","https://openalex.org/W2026310954","https://openalex.org/W2039105437","https://openalex.org/W2069051622","https://openalex.org/W2077311448","https://openalex.org/W2077847391","https://openalex.org/W2102729667","https://openalex.org/W2106310727","https://openalex.org/W2108756969","https://openalex.org/W2121196188","https://openalex.org/W2126852230","https://openalex.org/W2128311727","https://openalex.org/W2159310931","https://openalex.org/W2962946583","https://openalex.org/W3099643365","https://openalex.org/W4293176479"],"related_works":["https://openalex.org/W4286247383","https://openalex.org/W2019633909","https://openalex.org/W3099643365","https://openalex.org/W2491308346","https://openalex.org/W2050352691","https://openalex.org/W1841582389","https://openalex.org/W2033560440","https://openalex.org/W2048662755","https://openalex.org/W1992225819","https://openalex.org/W2032353137"],"abstract_inverted_index":{"A":[0],"new":[1,55],"hierarchy":[2],"of":[3,13,26,45,51,86,113],"\"exact\"":[4],"unification":[5,97],"types":[6],"is":[7],"introduced,":[8],"motivated":[9],"by":[10,35,39,67,117],"the":[11,42,68,84],"study":[12],"admissible":[14],"rules":[15],"for":[16],"equational":[17,30,122],"classes":[18,85],"and":[19,72,91],"non-classical":[20],"logics.":[21],"In":[22,82],"this":[23,54],"setting,":[24],"unifiers":[25,52],"identities":[27],"in":[28,73],"an":[29,110],"class":[31],"are":[32,107],"preordered,":[33],"not":[34],"instantiation,":[36],"but":[37],"rather":[38],"inclusion":[40],"over":[41],"corresponding":[43],"sets":[44,50],"unified":[46],"identities.":[47],"Minimal":[48],"complete":[49],"under":[53],"preordering":[56],"always":[57],"have":[58,95,99],"a":[59,76],"smaller":[60],"or":[61,101],"equal":[62],"cardinality":[63],"than":[64],"those":[65],"provided":[66],"standard":[69],"instantiation":[70],"preordering,":[71],"significant":[74],"cases":[75],"dramatic":[77],"reduction":[78],"may":[79],"be":[80],"observed.":[81],"particular,":[83],"distributive":[87],"lattices,":[88],"idempotent":[89],"semigroups,":[90],"MV-algebras,":[92],"which":[93],"all":[94],"nullary":[96],"type,":[98],"unitary":[100],"finitary":[102],"exact":[103,114],"type.":[104],"These":[105],"results":[106],"obtained":[108],"via":[109],"algebraic":[111,119],"interpretation":[112],"unification,":[115],"inspired":[116],"Ghilardi's":[118],"approach":[120],"to":[121],"unification.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}