{"id":"https://openalex.org/W3023414127","doi":"https://doi.org/10.1007/s11225-020-09910-5","title":"Axiomatization of Crisp G\u00f6del Modal Logic","display_name":"Axiomatization of Crisp G\u00f6del Modal Logic","publication_year":2020,"publication_date":"2020-06-08","ids":{"openalex":"https://openalex.org/W3023414127","doi":"https://doi.org/10.1007/s11225-020-09910-5","mag":"3023414127"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-020-09910-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-020-09910-5","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2004.14706","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079110572","display_name":"Ricardo \u00d3scar Rodr\u00edguez","orcid":"https://orcid.org/0000-0001-7551-2877"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Ricardo Oscar Rodriguez","raw_affiliation_strings":["UBA, FCEyN, Departamento de Computaci\u00f3n, UBA-CONICET, Inst. de Invest. en Cs. de la Computaci\u00f3n, Buenos Aires, Argentina","University of Buenos Aires"],"affiliations":[{"raw_affiliation_string":"UBA, FCEyN, Departamento de Computaci\u00f3n, UBA-CONICET, Inst. de Invest. en Cs. de la Computaci\u00f3n, Buenos Aires, Argentina","institution_ids":["https://openalex.org/I151201029"]},{"raw_affiliation_string":"University of Buenos Aires","institution_ids":["https://openalex.org/I24354313"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052062389","display_name":"Amanda Vidal Wandelmer","orcid":null},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Amanda Vidal","raw_affiliation_strings":["Department of Theoretical Computer Science, Institute of Computer Science of the Czech Academy of Sciences, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 271/2, 182 07, Praha, Czech Republic","Czech Acad. Of Sciences"],"affiliations":[{"raw_affiliation_string":"Department of Theoretical Computer Science, Institute of Computer Science of the Czech Academy of Sciences, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 271/2, 182 07, Praha, Czech Republic","institution_ids":["https://openalex.org/I4210155092","https://openalex.org/I202391551"]},{"raw_affiliation_string":"Czech Acad. Of Sciences","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079110572"],"corresponding_institution_ids":["https://openalex.org/I151201029","https://openalex.org/I24354313"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07911182,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"109","issue":"2","first_page":"367","last_page":"395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9894000291824341,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7824315428733826},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.7652957439422607},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.7090764045715332},{"id":"https://openalex.org/keywords/s5","display_name":"S5","score":0.5406467914581299},{"id":"https://openalex.org/keywords/g\u00f6del","display_name":"G\u00f6del","score":0.5042308568954468},{"id":"https://openalex.org/keywords/modal-\u03bc-calculus","display_name":"Modal \u03bc-calculus","score":0.4985380172729492},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.49388056993484497},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.4809757471084595},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.47258055210113525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4452701807022095},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4249381422996521},{"id":"https://openalex.org/keywords/g\u00f6dels-incompleteness-theorems","display_name":"G\u00f6del's incompleteness theorems","score":0.4153415560722351},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.4126172959804535},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.40796416997909546},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3945763409137726},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32988297939300537},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.18698793649673462},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06129157543182373}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7824315428733826},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.7652957439422607},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.7090764045715332},{"id":"https://openalex.org/C192609573","wikidata":"https://www.wikidata.org/wiki/Q7388341","display_name":"S5","level":5,"score":0.5406467914581299},{"id":"https://openalex.org/C2781302003","wikidata":"https://www.wikidata.org/wiki/Q3294091","display_name":"G\u00f6del","level":2,"score":0.5042308568954468},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.4985380172729492},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49388056993484497},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.4809757471084595},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.47258055210113525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4452701807022095},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4249381422996521},{"id":"https://openalex.org/C180937797","wikidata":"https://www.wikidata.org/wiki/Q200787","display_name":"G\u00f6del's incompleteness theorems","level":3,"score":0.4153415560722351},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.4126172959804535},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.40796416997909546},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3945763409137726},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32988297939300537},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.18698793649673462},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06129157543182373},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11225-020-09910-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-020-09910-5","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2004.14706","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.14706","pdf_url":"https://arxiv.org/pdf/2004.14706","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3023414127","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.14706.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2004.14706","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.14706","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2004.14706","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.14706","pdf_url":"https://arxiv.org/pdf/2004.14706","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G209957778","display_name":null,"funder_award_id":"CZ.02.2.69/0.0/0.0/17 050/0008361","funder_id":"https://openalex.org/F4320321005","funder_display_name":"Ministerstvo \u0160kolstv\u00ed, Ml\u00e1de\u017ee a T\u011blov\u00fdchovy"},{"id":"https://openalex.org/G2182240117","display_name":null,"funder_award_id":"20020150100002BA","funder_id":"https://openalex.org/F4320335237","funder_display_name":"Secretaria de Ciencia y Tecnica, Universidad de Buenos Aires"},{"id":"https://openalex.org/G2705188113","display_name":null,"funder_award_id":"TIN2015-71799- C2-1-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G3759152212","display_name":null,"funder_award_id":"11220150100412CO","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G4018775812","display_name":null,"funder_award_id":"689176","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"}],"funders":[{"id":"https://openalex.org/F4320321005","display_name":"Ministerstvo \u0160kolstv\u00ed, Ml\u00e1de\u017ee a T\u011blov\u00fdchovy","ror":"https://ror.org/037n8p820"},{"id":"https://openalex.org/F4320321594","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320335237","display_name":"Secretaria de Ciencia y Tecnica, Universidad de Buenos Aires","ror":"https://ror.org/0081fs513"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W130537534","https://openalex.org/W1545911618","https://openalex.org/W1558962892","https://openalex.org/W1969724379","https://openalex.org/W1970249071","https://openalex.org/W2023812928","https://openalex.org/W2028965700","https://openalex.org/W2067638902","https://openalex.org/W2069762673","https://openalex.org/W2090382436","https://openalex.org/W2096482476","https://openalex.org/W2110182592","https://openalex.org/W2132581016","https://openalex.org/W2139348098","https://openalex.org/W2169921622","https://openalex.org/W2237602444","https://openalex.org/W2294164365","https://openalex.org/W2954301182","https://openalex.org/W3002812435","https://openalex.org/W3006017410","https://openalex.org/W4388313858"],"related_works":["https://openalex.org/W3034542628","https://openalex.org/W2120980296","https://openalex.org/W2082710444","https://openalex.org/W2965030146","https://openalex.org/W2464217860","https://openalex.org/W1804030118","https://openalex.org/W29657123","https://openalex.org/W2556155522","https://openalex.org/W2187936207","https://openalex.org/W83593792","https://openalex.org/W2109246080","https://openalex.org/W3176980071","https://openalex.org/W2084875152","https://openalex.org/W2278216746","https://openalex.org/W1667825161","https://openalex.org/W2109796672","https://openalex.org/W2018364537","https://openalex.org/W125654268","https://openalex.org/W192749010"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
