{"id":"https://openalex.org/W2110715144","doi":"https://doi.org/10.1007/978-3-319-15545-6_5","title":"Modal Satisfiability via SMT Solving","display_name":"Modal Satisfiability via SMT Solving","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2110715144","doi":"https://doi.org/10.1007/978-3-319-15545-6_5","mag":"2110715144"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-15545-6_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-15545-6_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11086/22112","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022706489","display_name":"Carlos Areces","orcid":"https://orcid.org/0000-0001-7845-8503"},"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/I166401450","display_name":"Universidad Nacional de C\u00f3rdoba","ror":"https://ror.org/056tb7j80","country_code":"AR","type":"education","lineage":["https://openalex.org/I166401450"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Carlos Areces","raw_affiliation_strings":["Universidad Nacional de C\u00f3rdoba & CONICET, C\u00f3rdoba, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Nacional de C\u00f3rdoba & CONICET, C\u00f3rdoba, Argentina","institution_ids":["https://openalex.org/I151201029","https://openalex.org/I166401450"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060799584","display_name":"Pascal Fontaine","orcid":"https://orcid.org/0000-0003-4700-6031"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pascal Fontaine","raw_affiliation_strings":["INRIA, Villers-l\u00e8s-Nancy, France","LORIA, UMR\u00a07503, Universit\u00e9 de Lorraine, Vand\u0153vre-l\u00e8s-Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA, Villers-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I4210127166","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"LORIA, UMR\u00a07503, Universit\u00e9 de Lorraine, Vand\u0153vre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067310583","display_name":"Stephan Merz","orcid":"https://orcid.org/0000-0003-0974-1844"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Stephan Merz","raw_affiliation_strings":["INRIA, Villers-l\u00e8s-Nancy, France","LORIA, UMR\u00a07503, Universit\u00e9 de Lorraine, Vand\u0153vre-l\u00e8s-Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA, Villers-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I4210127166","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"LORIA, UMR\u00a07503, Universit\u00e9 de Lorraine, Vand\u0153vre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0234,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76186193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"30","last_page":"45"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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":0.9998999834060669,"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/T10142","display_name":"Formal Methods in Verification","score":0.9990000128746033,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9987000226974487,"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/soundness","display_name":"Soundness","score":0.8710180521011353},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7953102588653564},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.7330289483070374},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.723523736000061},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.7158522605895996},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.6892753839492798},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6791566610336304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5650643706321716},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.48458802700042725},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.4802139699459076},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45438799262046814},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.4214927554130554},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.41463425755500793},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3910906910896301},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.38798990845680237},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32069748640060425},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.23028168082237244},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06966453790664673}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8710180521011353},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7953102588653564},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.7330289483070374},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.723523736000061},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7158522605895996},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.6892753839492798},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6791566610336304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5650643706321716},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.48458802700042725},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.4802139699459076},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45438799262046814},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.4214927554130554},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.41463425755500793},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3910906910896301},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.38798990845680237},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32069748640060425},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.23028168082237244},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06966453790664673},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-319-15545-6_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-15545-6_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.710.7185","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.710.7185","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cs.famaf.unc.edu.ar/%7Ecareces/content/papers/files/wirsing14.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.710.8364","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.710.8364","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.loria.fr/%7Emerz/papers/wirsing2015.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01127966v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01127966","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Software, Services, and Systems. Essays Dedicated to Martin Wirsing on the Occasion of His Retirement from the Chair of Programming and Software Engineering, 8950, Springer, pp.30-45, 2015, Lecture Notes in Computer Science, &#x27E8;10.1007/978-3-319-15545-6_5&#x27E9;","raw_type":"Book sections"},{"id":"pmh:oai:rdu.unc.edu.ar:11086/22112","is_oa":true,"landing_page_url":"http://hdl.handle.net/11086/22112","pdf_url":null,"source":{"id":"https://openalex.org/S4306400373","display_name":"Repositorio Digital de la UNC (National University of Cordoba)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I166401450","host_organization_name":"Universidad Nacional de C\u00f3rdoba","host_organization_lineage":["https://openalex.org/I166401450"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Repositorio Digital Universitario (UNC)","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":{"id":"pmh:oai:rdu.unc.edu.ar:11086/22112","is_oa":true,"landing_page_url":"http://hdl.handle.net/11086/22112","pdf_url":null,"source":{"id":"https://openalex.org/S4306400373","display_name":"Repositorio Digital de la UNC (National University of Cordoba)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I166401450","host_organization_name":"Universidad Nacional de C\u00f3rdoba","host_organization_lineage":["https://openalex.org/I166401450"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Repositorio Digital Universitario (UNC)","raw_type":"info:eu-repo/semantics/bookPart"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W42015762","https://openalex.org/W114225339","https://openalex.org/W182893793","https://openalex.org/W1481397690","https://openalex.org/W1503647529","https://openalex.org/W1513612996","https://openalex.org/W1549008998","https://openalex.org/W1586677474","https://openalex.org/W1689987508","https://openalex.org/W1979514837","https://openalex.org/W1991981864","https://openalex.org/W2021025450","https://openalex.org/W2022846948","https://openalex.org/W2064811181","https://openalex.org/W2067803913","https://openalex.org/W2083310603","https://openalex.org/W2099081288","https://openalex.org/W2113066314","https://openalex.org/W2124580444","https://openalex.org/W2126160338","https://openalex.org/W2146427628","https://openalex.org/W2162361330","https://openalex.org/W2164389533","https://openalex.org/W2166108892","https://openalex.org/W2610670723","https://openalex.org/W3122242939","https://openalex.org/W4211144022","https://openalex.org/W4245896324"],"related_works":["https://openalex.org/W142011187","https://openalex.org/W3126675290","https://openalex.org/W3108798275","https://openalex.org/W2795425183","https://openalex.org/W2534562289","https://openalex.org/W2175984923","https://openalex.org/W1528547703","https://openalex.org/W4318188140","https://openalex.org/W2028312452","https://openalex.org/W176661328"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
