{"id":"https://openalex.org/W3045569619","doi":"https://doi.org/10.1093/jigpal/jzaa028","title":"A remark on functional completeness of binary expansions of Kleene\u2019s strong 3-valued logic","display_name":"A remark on functional completeness of binary expansions of Kleene\u2019s strong 3-valued logic","publication_year":2020,"publication_date":"2020-06-25","ids":{"openalex":"https://openalex.org/W3045569619","doi":"https://doi.org/10.1093/jigpal/jzaa028","mag":"3045569619"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzaa028","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzaa028","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","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/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":["Departamento de Psicolog\u00eda, Sociolog\u00eda y Filosof\u00eda, Universidad de Le\u00f3n, Campus de Vegazana, s/n, 24071, Le\u00f3n, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Psicolog\u00eda, Sociolog\u00eda y Filosof\u00eda, Universidad de Le\u00f3n, Campus de Vegazana, s/n, 24071, 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, Campus Unamuno, 37007, Salamanca, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad de Salamanca, Edificio FES, Campus Unamuno, 37007, 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":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.2814,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.61732852,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"30","issue":"1","first_page":"21","last_page":"33"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9994999766349792,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9901999831199646,"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/completeness","display_name":"Completeness (order theory)","score":0.7072994709014893},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6133403778076172},{"id":"https://openalex.org/keywords/truth-function","display_name":"Truth function","score":0.5479615926742554},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5216048955917358},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44155800342559814},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.440510630607605},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4352201819419861},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40584030747413635},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19647815823554993},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1588393747806549},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.13114634156227112},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11136487126350403}],"concepts":[{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7072994709014893},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6133403778076172},{"id":"https://openalex.org/C37754750","wikidata":"https://www.wikidata.org/wiki/Q913874","display_name":"Truth function","level":3,"score":0.5479615926742554},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5216048955917358},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44155800342559814},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.440510630607605},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4352201819419861},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40584030747413635},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19647815823554993},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1588393747806549},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.13114634156227112},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11136487126350403},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/jigpal/jzaa028","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzaa028","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1483568252","https://openalex.org/W1531571632","https://openalex.org/W1996579835","https://openalex.org/W2022971383","https://openalex.org/W2045666507","https://openalex.org/W2320688134","https://openalex.org/W2985951914"],"related_works":["https://openalex.org/W4237277701","https://openalex.org/W2121424666","https://openalex.org/W1587028174","https://openalex.org/W4301250310","https://openalex.org/W2030928163","https://openalex.org/W2055420561","https://openalex.org/W2067700950","https://openalex.org/W1669998927","https://openalex.org/W2182768446","https://openalex.org/W3162039195"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"classical":[2,44],"result":[3],"by":[4],"S\u0142upecki":[5],"states":[6],"that":[7,65],"a":[8,48,58],"logic":[9,29,64],"L":[10],"is":[11,36],"functionally":[12,25,67],"complete":[13,68],"for":[14,51,69],"the":[15,34],"3-element":[16],"set":[17],"of":[18,61],"truth-values":[19],"THREE":[20],"if,":[21],"in":[22,38],"addition":[23],"to":[24],"including":[26],"\u0141ukasiewicz\u2019s":[27],"3-valued":[28],"\u01413,":[30],"what":[31],"he":[32],"names":[33],"\u2018$T$-function\u2019":[35],"definable":[37],"L.":[39],"By":[40],"leaning":[41],"upon":[42],"this":[43],"result,":[45],"we":[46],"prove":[47],"general":[49],"theorem":[50],"defining":[52],"binary":[53,59],"expansions":[54,56],"(i.e.":[55],"with":[57],"connective)":[60],"Kleene\u2019s":[62],"strong":[63],"are":[66],"THREE.":[70]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
