{"id":"https://openalex.org/W2007679852","doi":"https://doi.org/10.1002/malq.19950410402","title":"Constants in Kripke Models for Intuitionistic Logic","display_name":"Constants in Kripke Models for Intuitionistic Logic","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2007679852","doi":"https://doi.org/10.1002/malq.19950410402","mag":"2007679852"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19950410402","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19950410402","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/A5067458494","display_name":"Daniel Dzierzgowski","orcid":null},"institutions":[{"id":"https://openalex.org/I17653759","display_name":"Fund for Scientific Research","ror":"https://ror.org/03q83t159","country_code":"BE","type":"nonprofit","lineage":["https://openalex.org/I17653759"]},{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Daniel Dzierzgowski","raw_affiliation_strings":["De\u0301partement de mathe\u0301matique, Universite\u0301 catholique de Louvain, Chemin du cyclotron 2, B-1348 Louvain-la-Neuve (Belgium)","Senior research assistant of the Belgian National Fund for Scientific Research"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"De\u0301partement de mathe\u0301matique, Universite\u0301 catholique de Louvain, Chemin du cyclotron 2, B-1348 Louvain-la-Neuve (Belgium)","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Senior research assistant of the Belgian National Fund for Scientific Research","institution_ids":["https://openalex.org/I17653759"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067458494"],"corresponding_institution_ids":["https://openalex.org/I17653759","https://openalex.org/I95674353"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1178756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"4","first_page":"431","last_page":"441"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9990000128746033,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9923999905586243,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9872000217437744,"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":0.7015190124511719},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.565373957157135},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5503751635551453},{"id":"https://openalex.org/keywords/kripke-structure","display_name":"Kripke structure","score":0.5427790284156799},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.5388011932373047},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.535315990447998},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5062436461448669},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5048116445541382},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4648325443267822},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.374168336391449},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18288111686706543},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.17263340950012207},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14668726921081543},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.11637353897094727},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.0805692970752716},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07716387510299683},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.07625147700309753},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.05704239010810852},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05417776107788086},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.05171525478363037}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7015190124511719},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.565373957157135},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5503751635551453},{"id":"https://openalex.org/C161913894","wikidata":"https://www.wikidata.org/wiki/Q1077740","display_name":"Kripke structure","level":3,"score":0.5427790284156799},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.5388011932373047},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.535315990447998},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5062436461448669},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5048116445541382},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4648325443267822},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.374168336391449},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18288111686706543},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.17263340950012207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14668726921081543},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.11637353897094727},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.0805692970752716},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07716387510299683},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.07625147700309753},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.05704239010810852},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05417776107788086},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.05171525478363037},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/malq.19950410402","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19950410402","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"},{"id":"pmh:oai:dial.uclouvain.be:boreal:47673","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/47673","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Logic Quarterly, Vol. 41, no. 4, p. 431-441 (1995)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W598189190","https://openalex.org/W1508227203","https://openalex.org/W2075161048","https://openalex.org/W2080463847","https://openalex.org/W2140830696","https://openalex.org/W2152863911","https://openalex.org/W4210997442","https://openalex.org/W4238295494","https://openalex.org/W4256112807"],"related_works":["https://openalex.org/W2403418519","https://openalex.org/W2482057698","https://openalex.org/W4205932853","https://openalex.org/W2002701178","https://openalex.org/W2952481855","https://openalex.org/W3177339176","https://openalex.org/W2965503064","https://openalex.org/W4247269955","https://openalex.org/W2212637516","https://openalex.org/W2061319273"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"present":[2],"a":[3,7,28,53],"technique":[4],"to":[5,60],"extend":[6],"Kripke":[8,67],"structure":[9],"(for":[10],"intuitionistic":[11],"logic)":[12],"into":[13],"an":[14],"elementary":[15],"extension":[16],"satisfying":[17],"some":[18],"property":[19],"(cardinality,":[20],"saturation,":[21],"etc.)":[22],"which":[23],"can":[24],"be":[25],"\u201caxiomatized\u201d":[26],"by":[27],"family":[29],"of":[30,32,48,55,64],"sets":[31],"sentences,":[33],"where,":[34],"most":[35],"often,":[36],"many":[37],"constant":[38],"symbols":[39],"occur.":[40],"To":[41],"that":[42],"end,":[43],"we":[44],"prove":[45],"extended":[46],"theorems":[47],"completeness":[49],"and":[50],"compactness.":[51],"Also,":[52],"section":[54],"the":[56,61],"paper":[57],"is":[58],"devoted":[59],"back\u2010and\u2010forth":[62],"construction":[63],"isomorphisms":[65],"between":[66],"structures.":[68]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
