{"id":"https://openalex.org/W1604369488","doi":"https://doi.org/10.1080/11663081.1998.10510932","title":"Equational Reasoning in Non-Classical Logics","display_name":"Equational Reasoning in Non-Classical Logics","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1604369488","doi":"https://doi.org/10.1080/11663081.1998.10510932","mag":"1604369488"},"language":"en","primary_location":{"id":"doi:10.1080/11663081.1998.10510932","is_oa":false,"landing_page_url":"https://doi.org/10.1080/11663081.1998.10510932","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","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/A5035707440","display_name":"Marcelo F. Frias","orcid":"https://orcid.org/0000-0002-5592-1355"},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marcelo Frias","raw_affiliation_strings":["\n Laborat\u00f3rio de M\u00e9todos Formais, Departamento de Inform\u00e1tica, PUC-Rio Rua Marqu\u00eas de S\u00e3o Vincente 225, Rio de Janeiro, RJ, 22453-900, Brazil E-mail: mfrias@inf.puc-rio.br","Laborat\u00f3rio de M\u00e9todos Formais, Departamento de Inform\u00e1tica , PUC-Rio Rua Marqu\u00eas de S\u00e3o Vincente 225, Rio de Janeiro , RJ , 22453-900 , Brazil E-mail: mfrias@inf.puc-rio.br"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Laborat\u00f3rio de M\u00e9todos Formais, Departamento de Inform\u00e1tica, PUC-Rio Rua Marqu\u00eas de S\u00e3o Vincente 225, Rio de Janeiro, RJ, 22453-900, Brazil E-mail: mfrias@inf.puc-rio.br","institution_ids":["https://openalex.org/I2699952"]},{"raw_affiliation_string":"Laborat\u00f3rio de M\u00e9todos Formais, Departamento de Inform\u00e1tica , PUC-Rio Rua Marqu\u00eas de S\u00e3o Vincente 225, Rio de Janeiro , RJ , 22453-900 , Brazil E-mail: mfrias@inf.puc-rio.br","institution_ids":["https://openalex.org/I2699952"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029374365","display_name":"Ewa Or\u0142owska","orcid":"https://orcid.org/0000-0002-7931-2351"},"institutions":[{"id":"https://openalex.org/I4210122744","display_name":"Institute of Theoretical and Applied Informatics","ror":"https://ror.org/037p52j25","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210122744","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Ewa Orlowska","raw_affiliation_strings":["\n Institute of Theoretical and Applied Computer Science Polish Academy of Sciences, Azaliowa 29, 04-539, Warsaw, Poland E-mail: orlowska@plearn.edu.pl","Institute of Theoretical and Applied Computer Science Polish Academy of Sciences , Azaliowa 29, 04-539 , Warsaw , Poland E-mail: orlowska@plearn.edu.pl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Institute of Theoretical and Applied Computer Science Polish Academy of Sciences, Azaliowa 29, 04-539, Warsaw, Poland E-mail: orlowska@plearn.edu.pl","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210122744"]},{"raw_affiliation_string":"Institute of Theoretical and Applied Computer Science Polish Academy of Sciences , Azaliowa 29, 04-539 , Warsaw , Poland E-mail: orlowska@plearn.edu.pl","institution_ids":["https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08953679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"1-2","first_page":"27","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9951000213623047,"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":0.9951000213623047,"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":0.9879999756813049,"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":0.9803000092506409,"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/equational-logic","display_name":"Equational logic","score":0.6928199529647827},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6372979879379272},{"id":"https://openalex.org/keywords/monoidal-t-norm-logic","display_name":"Monoidal t-norm logic","score":0.633315920829773},{"id":"https://openalex.org/keywords/t-norm-fuzzy-logics","display_name":"T-norm fuzzy logics","score":0.6168522238731384},{"id":"https://openalex.org/keywords/fork","display_name":"Fork (system call)","score":0.5997596383094788},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.5719991326332092},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.5608159899711609},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.5296216607093811},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5079208016395569},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49948763847351074},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.46961575746536255},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4550716280937195},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.416241317987442},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4030821621417999},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30677223205566406},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28521057963371277},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.21778088808059692},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21101564168930054},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.2014646828174591},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1849496066570282},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.07719182968139648}],"concepts":[{"id":"https://openalex.org/C154564781","wikidata":"https://www.wikidata.org/wiki/Q5384236","display_name":"Equational logic","level":3,"score":0.6928199529647827},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6372979879379272},{"id":"https://openalex.org/C98224912","wikidata":"https://www.wikidata.org/wiki/Q6901647","display_name":"Monoidal t-norm logic","level":5,"score":0.633315920829773},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.6168522238731384},{"id":"https://openalex.org/C40523978","wikidata":"https://www.wikidata.org/wiki/Q14675","display_name":"Fork (system call)","level":2,"score":0.5997596383094788},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5719991326332092},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.5608159899711609},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.5296216607093811},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5079208016395569},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49948763847351074},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46961575746536255},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4550716280937195},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.416241317987442},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4030821621417999},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30677223205566406},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28521057963371277},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.21778088808059692},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21101564168930054},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.2014646828174591},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1849496066570282},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.07719182968139648},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/11663081.1998.10510932","is_oa":false,"landing_page_url":"https://doi.org/10.1080/11663081.1998.10510932","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"},{"id":"mag:1604369488","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/RelMiCS/RelMiCS1997.html#FriasO97","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.44999998807907104,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W15377955","https://openalex.org/W1505743816","https://openalex.org/W1567558468","https://openalex.org/W1983214992","https://openalex.org/W1992205482","https://openalex.org/W2006006495","https://openalex.org/W2017684085","https://openalex.org/W2073120895","https://openalex.org/W2075277371","https://openalex.org/W2076502308","https://openalex.org/W2150687612","https://openalex.org/W3145287507","https://openalex.org/W4205313167","https://openalex.org/W6635602961"],"related_works":["https://openalex.org/W1971743535","https://openalex.org/W3023487307","https://openalex.org/W2794297801","https://openalex.org/W114591326","https://openalex.org/W2559154662","https://openalex.org/W628027901","https://openalex.org/W2080647016","https://openalex.org/W124229871","https://openalex.org/W1799934009","https://openalex.org/W3214723038","https://openalex.org/W16267316","https://openalex.org/W1580260691","https://openalex.org/W3202565953","https://openalex.org/W3203933509","https://openalex.org/W2043837692","https://openalex.org/W2750815953","https://openalex.org/W2061319273","https://openalex.org/W45177616","https://openalex.org/W2139201370","https://openalex.org/W2085117067"],"abstract_inverted_index":{"ABSTRACT":[0],"In":[1],"this":[2],"paper":[3],"it":[4],"is":[5],"shown":[6],"that":[7],"a":[8,31,39],"broad":[9],"class":[10],"of":[11,34,45],"propositional":[12],"logics":[13,36],"can":[14],"be":[15],"interpreted":[16],"in":[17],"an":[18],"equational":[19,48],"logic":[20],"based":[21],"on":[22],"fork":[23],"algebras.":[24,50],"This":[25],"interpetability":[26],"enables":[27],"us":[28],"to":[29,41],"develop":[30],"fork-algebraic":[32],"formalization":[33],"these":[35],"and,":[37],"as":[38],"consequence,":[40],"simulate":[42],"non-classical":[43],"means":[44],"reasoning":[46],"with":[47],"theories":[49]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}