{"id":"https://openalex.org/W2909737539","doi":"https://doi.org/10.1080/11663081.2019.1644079","title":"Belnap-Dunn semantics for natural implicative expansions of Kleene's strong three-valued matrix II. Only one designated value","display_name":"Belnap-Dunn semantics for natural implicative expansions of Kleene's strong three-valued matrix II. Only one designated value","publication_year":2019,"publication_date":"2019-07-03","ids":{"openalex":"https://openalex.org/W2909737539","doi":"https://doi.org/10.1080/11663081.2019.1644079","mag":"2909737539"},"language":"en","primary_location":{"id":"doi:10.1080/11663081.2019.1644079","is_oa":false,"landing_page_url":"https://doi.org/10.1080/11663081.2019.1644079","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/10612/12991","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"],"raw_orcid":"https://orcid.org/0000-0001-6495-0388","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":"middle","author":{"id":"https://openalex.org/A5049266953","display_name":"Francisco Salto","orcid":"https://orcid.org/0000-0001-6316-1774"},"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":false,"raw_author_name":"Francisco Salto","raw_affiliation_strings":["Dpto. de Psicolog\u00eda, Sociolog\u00eda y Filosof\u00eda, Universidad de Le\u00f3n, Le\u00f3n, Spain"],"raw_orcid":"https://orcid.org/0000-0001-6316-1774","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, Edificio FES, Salamanca, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9560-3327","affiliations":[{"raw_affiliation_string":"Universidad de Salamanca, Edificio FES, Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035778877"],"corresponding_institution_ids":["https://openalex.org/I8833935"],"apc_list":null,"apc_paid":null,"fwci":1.5997,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84637253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"29","issue":"3","first_page":"307","last_page":"325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9993000030517578,"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":0.9993000030517578,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9973000288009644,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9966999888420105,"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/value","display_name":"Value (mathematics)","score":0.642352283000946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5965997576713562},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.589420735836029},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5010111331939697},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46290290355682373},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4510641396045685},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2025134265422821},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1361614465713501},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11904960870742798},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.05926328897476196}],"concepts":[{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.642352283000946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5965997576713562},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.589420735836029},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5010111331939697},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46290290355682373},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4510641396045685},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2025134265422821},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1361614465713501},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11904960870742798},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05926328897476196},{"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:10.1080/11663081.2019.1644079","is_oa":false,"landing_page_url":"https://doi.org/10.1080/11663081.2019.1644079","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:10612/12991","is_oa":true,"landing_page_url":"http://hdl.handle.net/10612/12991","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:10612/12991","is_oa":true,"landing_page_url":"http://hdl.handle.net/10612/12991","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":[],"funders":[{"id":"https://openalex.org/F4320326262","display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a","ror":"https://ror.org/03sv46s19"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W147108263","https://openalex.org/W1483568252","https://openalex.org/W1487409515","https://openalex.org/W1505359507","https://openalex.org/W1531571632","https://openalex.org/W1559874856","https://openalex.org/W1593617641","https://openalex.org/W1973959253","https://openalex.org/W1980132852","https://openalex.org/W1995375207","https://openalex.org/W1996579835","https://openalex.org/W2023192850","https://openalex.org/W2023605209","https://openalex.org/W2027379370","https://openalex.org/W2029571501","https://openalex.org/W2045666507","https://openalex.org/W2050498009","https://openalex.org/W2051516080","https://openalex.org/W2057015138","https://openalex.org/W2066469518","https://openalex.org/W2067005442","https://openalex.org/W2073514978","https://openalex.org/W2076222411","https://openalex.org/W2083464739","https://openalex.org/W2084036515","https://openalex.org/W2085956853","https://openalex.org/W2092490196","https://openalex.org/W2096368704","https://openalex.org/W2480359299","https://openalex.org/W2726482532","https://openalex.org/W2738657924","https://openalex.org/W2998490647","https://openalex.org/W3131173863","https://openalex.org/W4233463705"],"related_works":["https://openalex.org/W2049150502","https://openalex.org/W1967500081","https://openalex.org/W2365751862","https://openalex.org/W2172599225","https://openalex.org/W2945191958","https://openalex.org/W4285411252","https://openalex.org/W2176627345","https://openalex.org/W2379531677","https://openalex.org/W2373948225","https://openalex.org/W2365537987"],"abstract_inverted_index":{"This":[0],"paper":[1,42],"is":[2,26,43],"a":[3,22,47],"sequel":[4],"to":[5,33,44],"\u2018Belnap-Dunn":[6],"semantics":[7,25],"for":[8,28,50],"natural":[9,52],"implicative":[10,53],"expansions":[11,31,54],"of":[12,39,55],"Kleene's":[13,56],"strong":[14,57],"three-valued":[15],"matrix":[16,59],"with":[17,61],"two":[18],"designated":[19,64],"values\u2019,":[20],"where":[21],"\u2018bivalent\u2019":[23],"Belnap-Dunn":[24],"provided":[27],"all":[29,51],"the":[30,40],"referred":[32],"in":[34],"its":[35],"title.":[36],"The":[37],"aim":[38],"present":[41],"carry":[45],"out":[46],"parallel":[48],"investigation":[49],"3-valued":[58],"now":[60],"only":[62],"one":[63],"value.":[65]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-01-25T00:00:00"}