{"id":"https://openalex.org/W2122808108","doi":"https://doi.org/10.1002/malq.200510031","title":"Omitting types in fuzzy logic with evaluated syntax","display_name":"Omitting types in fuzzy logic with evaluated syntax","publication_year":2006,"publication_date":"2006-05-11","ids":{"openalex":"https://openalex.org/W2122808108","doi":"https://doi.org/10.1002/malq.200510031","mag":"2122808108"},"language":"en","primary_location":{"id":"doi:10.1002/malq.200510031","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200510031","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5045238220","display_name":"Petra Murinov\u00e1","orcid":null},"institutions":[{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Petra Murinov\u00e1","raw_affiliation_strings":["Univ. of Ostrava"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of Ostrava","institution_ids":["https://openalex.org/I187293425"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039200228","display_name":"Vil\u00e9m Nov\u00e1k","orcid":"https://orcid.org/0000-0002-9698-1629"},"institutions":[{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Vil\u00e9m Nov\u00e1k","raw_affiliation_strings":["University of Ostrava, Institute for Research and Application of Fuzzy Modeling, 30. dubna 22, Ostrava, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ostrava, Institute for Research and Application of Fuzzy Modeling, 30. dubna 22, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I187293425"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.9982,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.77588691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"52","issue":"3","first_page":"259","last_page":"268"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9972000122070312,"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":0.9904000163078308,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7703691720962524},{"id":"https://openalex.org/keywords/truth-value","display_name":"Truth value","score":0.6341853737831116},{"id":"https://openalex.org/keywords/g\u00f6dels-completeness-theorem","display_name":"G\u00f6del's completeness theorem","score":0.5686343312263489},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5548650026321411},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5111802220344543},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5015323162078857},{"id":"https://openalex.org/keywords/\u0142ukasiewicz-logic","display_name":"\u0141ukasiewicz logic","score":0.4669206142425537},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.459343284368515},{"id":"https://openalex.org/keywords/many-valued-logic","display_name":"Many-valued logic","score":0.45815765857696533},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.4487513303756714},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.41563501954078674},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4128875136375427},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31371045112609863},{"id":"https://openalex.org/keywords/substructural-logic","display_name":"Substructural logic","score":0.16700229048728943},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13045862317085266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10371661186218262},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.0912720263004303},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08164718747138977}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7703691720962524},{"id":"https://openalex.org/C46274116","wikidata":"https://www.wikidata.org/wiki/Q185521","display_name":"Truth value","level":2,"score":0.6341853737831116},{"id":"https://openalex.org/C200116569","wikidata":"https://www.wikidata.org/wiki/Q902052","display_name":"G\u00f6del's completeness theorem","level":2,"score":0.5686343312263489},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5548650026321411},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5111802220344543},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5015323162078857},{"id":"https://openalex.org/C206321295","wikidata":"https://www.wikidata.org/wiki/Q8080919","display_name":"\u0141ukasiewicz logic","level":5,"score":0.4669206142425537},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.459343284368515},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.45815765857696533},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.4487513303756714},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.41563501954078674},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4128875136375427},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31371045112609863},{"id":"https://openalex.org/C144760519","wikidata":"https://www.wikidata.org/wiki/Q839490","display_name":"Substructural logic","level":4,"score":0.16700229048728943},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13045862317085266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10371661186218262},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0912720263004303},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08164718747138977},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.200510031","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200510031","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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":8,"referenced_works":["https://openalex.org/W593605370","https://openalex.org/W632143945","https://openalex.org/W1535673504","https://openalex.org/W1966321785","https://openalex.org/W1997196510","https://openalex.org/W2077365449","https://openalex.org/W2110182592","https://openalex.org/W2116848179"],"related_works":["https://openalex.org/W637989598","https://openalex.org/W4294175725","https://openalex.org/W1537466439","https://openalex.org/W16267316","https://openalex.org/W2310799747","https://openalex.org/W3010532782","https://openalex.org/W1982424558","https://openalex.org/W2036407372","https://openalex.org/W4300877839","https://openalex.org/W4200054679"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"is":[3,75,128,156],"a":[4,20,44,92,97,118,130,157,171,176],"contribution":[5],"to":[6],"the":[7,111],"development":[8],"of":[9,12,25,58,108,120,191],"model":[10,119,177],"theory":[11,94,159],"fuzzy":[13,26,45,158,172],"logic":[14,27],"in":[15,52,64,136],"narrow":[16],"sense.":[17],"We":[18,182],"consider":[19],"formal":[21,93],"system":[22],"Ev":[23,65,146,192,196],"\u0141":[24,66,147,193,197],"that":[28,74,90,149,153],"has":[29,198,208],"evaluated":[30],"syntax,":[31],"i.":[32,125],"e.":[33,126],"axioms":[34],"need":[35],"not":[36,134],"be":[37],"fully":[38],"convincing":[39],"and":[40,96,160],"so,":[41],"they":[42],"form":[43,71],"set":[46,98,173],"only.":[47,219],"Consequently,":[48],"formulas":[49,109],"are":[50],"provable":[51],"some":[53],"general":[54],"degree.":[55],"A":[56],"generalization":[57],"G\u00f6del's":[59],"completeness":[60],"theorem":[61,88,144,186],"does":[62],"hold":[63],".":[67],"The":[68,84],"truth":[69,204,212],"values":[70,213],"an":[72],"MV\u2010algebra":[73],"either":[76,195],"finite":[77],"or":[78,206],"\u0141ukasiewicz":[79],"algebra":[80],"on":[81],"[0,":[82,215],"1].":[83],"classical":[85],"omitting":[86,178],"types":[87],"states":[89],"given":[91],"T":[95,121,155],"\u03a3(":[99,161],"x":[100,105,162,167],"1":[101,163],",":[102,104,148,164,166,174],"\u2026":[103,165],"n":[106,168],")":[107,169],"with":[110],"same":[112],"free":[113],"variables,":[114],"we":[115,141,151],"can":[116],"construct":[117],"which":[122],"omits":[123],"\u03a3,":[124],"there":[127],"always":[129],"formula":[131],"from":[132,214],"\u03a3":[133,179],"true":[135],"it.":[137],"In":[138],"this":[139,143,185],"paper,":[140],"generalize":[142],"for":[145,187,202,211],"is,":[150],"prove":[152,184],"if":[154],"forms":[170],"then":[175],"also":[180],"exists.":[181],"will":[183],"two":[188],"essential":[189],"cases":[190],":":[194],"logical":[199],"(truth)":[200],"constants":[201,210],"all":[203],"values,":[205],"it":[207],"these":[209],"1]":[216],"\u2229":[217],"\u211a":[218],"(\u00a9":[220],"2006":[221],"WILEY\u2010VCH":[222],"Verlag":[223],"GmbH":[224],"&amp;":[225],"Co.":[226],"KGaA,":[227],"Weinheim)":[228]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-24T06:17:17.354583","created_date":"2025-10-10T00:00:00"}
