{"id":"https://openalex.org/W4233463705","doi":"https://doi.org/10.1080/11663081.2018.1534487","title":"Belnap-Dunn semantics for natural implicative expansions of Kleene's strong three-valued matrix with two designated values","display_name":"Belnap-Dunn semantics for natural implicative expansions of Kleene's strong three-valued matrix with two designated values","publication_year":2019,"publication_date":"2019-01-02","ids":{"openalex":"https://openalex.org/W4233463705","doi":"https://doi.org/10.1080/11663081.2018.1534487"},"language":"en","primary_location":{"id":"doi:10.1080/11663081.2018.1534487","is_oa":false,"landing_page_url":"https://doi.org/10.1080/11663081.2018.1534487","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10612/12990","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035778877","display_name":"Gemma Robles","orcid":"https://orcid.org/0000-0001-6495-0388"},"institutions":[{"id":"https://openalex.org/I8833935","display_name":"Universidad de Le\u00f3n","ror":"https://ror.org/02tzt0b78","country_code":"ES","type":"education","lineage":["https://openalex.org/I8833935"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Gemma Robles","raw_affiliation_strings":["Dpto. de Psicolog\u00eda, Sociolog\u00eda y Filosof\u00eda, Universidad de Le\u00f3n, Le\u00f3n, Spain"],"affiliations":[{"raw_affiliation_string":"Dpto. de Psicolog\u00eda, Sociolog\u00eda y Filosof\u00eda, Universidad de Le\u00f3n, Le\u00f3n, Spain","institution_ids":["https://openalex.org/I8833935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056276034","display_name":"Jos\u00e9 M. M\u00e9ndez","orcid":"https://orcid.org/0000-0002-9560-3327"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 M. M\u00e9ndez","raw_affiliation_strings":["Universidad de Salamanca, Salamanca, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad de Salamanca, Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035778877"],"corresponding_institution_ids":["https://openalex.org/I8833935"],"apc_list":null,"apc_paid":null,"fwci":2.1338,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89128343,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"29","issue":"1","first_page":"37","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9983999729156494,"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":0.9983999729156494,"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":0.9955000281333923,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.6227681040763855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5921857953071594},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4404645562171936},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34489238262176514},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3202759027481079},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19978371262550354},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10451531410217285},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.032025277614593506}],"concepts":[{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.6227681040763855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5921857953071594},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4404645562171936},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34489238262176514},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3202759027481079},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19978371262550354},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10451531410217285},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.032025277614593506},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/11663081.2018.1534487","is_oa":false,"landing_page_url":"https://doi.org/10.1080/11663081.2018.1534487","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":"pmh:oai:buleria.unileon.es:10612/12990","is_oa":true,"landing_page_url":"http://hdl.handle.net/10612/12990","pdf_url":null,"source":{"id":"https://openalex.org/S4306401642","display_name":"Buleria (Universidad de Le\u00f3n)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169046204","host_organization_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","host_organization_lineage":["https://openalex.org/I169046204"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:buleria.unileon.es:10612/12990","is_oa":true,"landing_page_url":"http://hdl.handle.net/10612/12990","pdf_url":null,"source":{"id":"https://openalex.org/S4306401642","display_name":"Buleria (Universidad de Le\u00f3n)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169046204","host_organization_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","host_organization_lineage":["https://openalex.org/I169046204"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8069128360","display_name":null,"funder_award_id":"FFI2014-53919-P; FFI2017-82878-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1483568252","https://openalex.org/W1531571632","https://openalex.org/W1593617641","https://openalex.org/W1980132852","https://openalex.org/W1995375207","https://openalex.org/W1996579835","https://openalex.org/W2023605209","https://openalex.org/W2027379370","https://openalex.org/W2029571501","https://openalex.org/W2045666507","https://openalex.org/W2050498009","https://openalex.org/W2057015138","https://openalex.org/W2066469518","https://openalex.org/W2067005442","https://openalex.org/W2076222411","https://openalex.org/W2083464739","https://openalex.org/W2085956853","https://openalex.org/W2092490196","https://openalex.org/W2096368704","https://openalex.org/W2480359299","https://openalex.org/W2592837392","https://openalex.org/W2726482532"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"A":[0],"conditional":[1,17],"is":[2,36,48,65],"natural":[3,74],"if":[4],"it":[5,28,35],"fulfils":[6],"the":[7,15,21,30,42,54,88],"three":[8],"following":[9],"conditions.":[10],"(1)":[11],"It":[12],"coincides":[13],"with":[14,82],"classical":[16,22],"when":[18],"restricted":[19],"to":[20,45,53,57,66,93],"values":[23],"T":[24],"and":[25,33],"F;":[26],"(2)":[27],"satisfies":[29],"Modus":[31],"Ponens;":[32],"(3)":[34],"assigned":[37,44,56],"a":[38,68],"designated":[39,84],"value":[40,43,55],"whenever":[41],"its":[46,58],"antecedent":[47],"less":[49],"than":[50],"or":[51],"equal":[52],"consequent.":[59],"The":[60],"aim":[61],"of":[62,77,98,101],"this":[63],"paper":[64],"provide":[67],"\u2018bivalent\u2019":[69],"Belnap-Dunn":[70],"semantics":[71],"for":[72],"all":[73],"implicative":[75,99],"expansions":[76],"Kleene's":[78,103],"strong":[79],"3-valued":[80],"matrix":[81],"two":[83],"elements.":[85],"(We":[86],"understand":[87],"notion":[89],"\u2018natural":[90],"conditional\u2019":[91],"according":[92],"N.":[94],"Tomova,":[95],"\u2018A":[96],"lattice":[97],"extensions":[100],"regular":[102],"logics\u2019,":[104],"Reports":[105],"on":[106],"Mathematical":[107],"Logic,":[108],"47,":[109],"173\u2013182,":[110],"2012.)":[111]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-12T00:00:00"}
