{"id":"https://openalex.org/W2093615146","doi":"https://doi.org/10.1093/logcom/exp081","title":"Intuitionistic Trilattice Logics","display_name":"Intuitionistic Trilattice Logics","publication_year":2010,"publication_date":"2010-01-15","ids":{"openalex":"https://openalex.org/W2093615146","doi":"https://doi.org/10.1093/logcom/exp081","mag":"2093615146"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exp081","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exp081","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"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":"Journal of Logic and Computation","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/A5034896431","display_name":"Heinrich Wansing","orcid":"https://orcid.org/0000-0002-0749-8847"},"institutions":[{"id":"https://openalex.org/I4210165059","display_name":"Hochschule f\u00fcr Technik und Wirtschaft Dresden \u2013 University of Applied Sciences","ror":"https://ror.org/05q5pk319","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210165059"]},{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H. Wansing","raw_affiliation_strings":["Institute of Philosophy, Dresden University of Technology, 01069 Dresden, Germany","Institute of Philosophy, Dresden University of Technology, 01069 Dresden, GermanyE-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Philosophy, Dresden University of Technology, 01069 Dresden, Germany","institution_ids":["https://openalex.org/I78650965","https://openalex.org/I4210165059"]},{"raw_affiliation_string":"Institute of Philosophy, Dresden University of Technology, 01069 Dresden, GermanyE-mail:","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008824087","display_name":"Norihiro Kamide","orcid":"https://orcid.org/0000-0001-7736-8055"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"N. Kamide","raw_affiliation_strings":["Waseda Institute for Advanced Study, Waseda University,1-6-1 Nishi Waseda, Shinjuku-ku, Tokyo 169-8050, Japan","Waseda Institute for Advanced Study, Waseda University,1-6-1 Nishi Waseda, Shinjuku-ku, Tokyo 169-8050, JapanE-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Waseda Institute for Advanced Study, Waseda University,1-6-1 Nishi Waseda, Shinjuku-ku, Tokyo 169-8050, Japan","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"Waseda Institute for Advanced Study, Waseda University,1-6-1 Nishi Waseda, Shinjuku-ku, Tokyo 169-8050, JapanE-mail:","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":1.0307,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78134359,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"20","issue":"6","first_page":"1201","last_page":"1229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9970999956130981,"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":0.9970999956130981,"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/library-science","display_name":"Library science","score":0.5388810634613037},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46903547644615173}],"concepts":[{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.5388810634613037},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46903547644615173}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/logcom/exp081","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exp081","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"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":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1487409515","https://openalex.org/W1554516311","https://openalex.org/W1615660165","https://openalex.org/W1991636605","https://openalex.org/W2002719201","https://openalex.org/W2023605209","https://openalex.org/W2082428652","https://openalex.org/W2088233901","https://openalex.org/W2098711720","https://openalex.org/W2146517591","https://openalex.org/W2150425213","https://openalex.org/W4245674526"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2130043461","https://openalex.org/W2530322880","https://openalex.org/W1596801655"],"abstract_inverted_index":{"We":[0],"take":[1],"up":[2],"a":[3,47,50,56,107,212,215,221,273],"suggestion":[4],"by":[5,285],"Odintsov":[6],"(2009,":[7],"Studia":[8,82],"Logica,":[9,83],"91,":[10,84],"407\u2013428)":[11],"and":[12,27,36,42,71,123,135,146,152,165,188,195,242,268],"define":[13],"intuitionistic":[14,62,230],"variants":[15],"of":[16,31,39,64,75,96,117,132,163,176,199,209,232,243,254,290],"certain":[17],"logics":[18],"arising":[19],"from":[20],"the":[21,126,130,244,288],"trilattice":[22],"SIXTEEN3":[23,241],"introduced":[24,219],"in":[25,240,250],"Shramko":[26],"Wansing":[28,251],"(2005,":[29],"Journal":[30,38,198,253],"Philosophical":[32,184,255],"Logic,":[33,40,77,179,201,256],"34,":[34],"121\u2013153":[35],"2006,":[37],"Language":[41],"Information,":[43],"15,":[44],"403\u2013424).":[45],"In":[46,173,211],"first":[48],"step,":[49,214],"logic":[51,155,193,216],"I16":[52,90,97,118],"is":[53,91,110,119,218,228,262],"presented":[54,249],"as":[55,121,206,220],"Gentzen-type":[57],"sequent":[58,148,245],"calculus":[59,246,261,278],"for":[60,89,113,125,144,150,189,236,247,279],"an":[61,94,229],"version":[63],"Odintsov\u2019s":[65,233],"Hilbert-style":[66],"axiom":[67,234],"system":[68,226,235],"LT":[69],"(Kamide":[70],"Wansing,":[72],"2009,":[73,81],"Review":[74],"Symbolic":[76,200],"2,":[78],"374\u2013395;":[79],"Odintsov,":[80],"407\u2013428).":[85],"The":[86,101,115,161,224,259],"cut-elimination":[87],"theorem":[88,103],"proved":[92,112],"using":[93],"embedding":[95],"into":[98],"Gentzen\u2019s":[99],"LJ.":[100],"completeness":[102],"with":[104,137,270],"respect":[105,138,271],"to":[106,139,257,265,272],"Kripke-style":[108,274],"semantics":[109],"also":[111,263],"I16.":[114,210],"framework":[116],"regarded":[120],"plausible":[122],"natural":[124,207],"following":[127],"reasons:":[128],"(i)":[129],"properties":[131],"constructible":[133],"falsity":[134,280],"paraconsistency":[136],"some":[140],"negation":[141],"connectives":[142],"hold":[143],"I16,":[145],"(ii)":[147],"calculi":[149],"Belnap":[151],"Dunn\u2019s":[153],"four-valued":[154,171,192],"(Anderson":[156],"et":[157],"al.,":[158],"1992,":[159],"Entailment:":[160],"Logic":[162],"Relevance":[164],"Necessity;":[166],"Belnap,":[167],"1977,":[168],"A":[169,276],"useful":[170],"logic,":[172],"Modern":[174],"uses":[175],"Multiple":[177],"Valued":[178],"pp.":[180],"5\u201337;":[181],"Dunn,":[182],"1976,":[183],"Studies,":[185],"29,":[186],"149\u2013168)":[187],"Nelson\u2019s":[190],"constructive":[191],"(Almukdad":[194],"Nelson,":[196],"1984,":[197],"49,":[202],"231\u2013233)":[203],"are":[204],"included":[205],"subsystems":[208],"second":[213],"IT16":[217,227],"tableau":[222,225,260,277],"calculus.":[223],"counterpart":[231],"truth":[237],"entailment":[238,281],"\u22a8t":[239,248],"(2010,":[252],"appear).":[258],"shown":[264],"be":[266,283],"sound":[267],"complete":[269],"semantics.":[275],"can":[282],"obtained":[284],"suitably":[286],"modifying":[287],"notion":[289],"provability.":[291]},"counts_by_year":[{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}
