{"id":"https://openalex.org/W2794809804","doi":"https://doi.org/10.3233/fi-2020-1921","title":"A Many-sorted Polyadic Modal Logic","display_name":"A Many-sorted Polyadic Modal Logic","publication_year":2020,"publication_date":"2020-03-31","ids":{"openalex":"https://openalex.org/W2794809804","doi":"https://doi.org/10.3233/fi-2020-1921","mag":"2794809804"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2020-1921","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2020-1921","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1803.09709","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002710918","display_name":"Ioana Leu\u015ftean","orcid":"https://orcid.org/0000-0002-1884-6456"},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Ioana Leu\u015ftean","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania. ioana@fmi.unibuc.ro, natalia.moanga@drd.unibuc.ro, traian.serbanuta@fmi.unibuc.ro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania. ioana@fmi.unibuc.ro, natalia.moanga@drd.unibuc.ro, traian.serbanuta@fmi.unibuc.ro","institution_ids":["https://openalex.org/I141595442"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057998349","display_name":"Natalia Moang\u0103","orcid":null},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Natalia Moang\u0103","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania. ioana@fmi.unibuc.ro, natalia.moanga@drd.unibuc.ro, traian.serbanuta@fmi.unibuc.ro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania. ioana@fmi.unibuc.ro, natalia.moanga@drd.unibuc.ro, traian.serbanuta@fmi.unibuc.ro","institution_ids":["https://openalex.org/I141595442"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015125888","display_name":"Traian Florin \u015eerb\u0103nu\u0163\u0103","orcid":null},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Traian Florin \u015eerb\u0103nu\u0163\u0103","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania. ioana@fmi.unibuc.ro, natalia.moanga@drd.unibuc.ro, traian.serbanuta@fmi.unibuc.ro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania. ioana@fmi.unibuc.ro, natalia.moanga@drd.unibuc.ro, traian.serbanuta@fmi.unibuc.ro","institution_ids":["https://openalex.org/I141595442"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057998349"],"corresponding_institution_ids":["https://openalex.org/I141595442"],"apc_list":null,"apc_paid":null,"fwci":0.134,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.55020486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"173","issue":"2-3","first_page":"191","last_page":"215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","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/T10126","display_name":"Logic, programming, and type systems","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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9993000030517578,"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":0.9988999962806702,"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/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.7037465572357178},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.6417596340179443},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6334871053695679},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.5832028985023499},{"id":"https://openalex.org/keywords/autoepistemic-logic","display_name":"Autoepistemic logic","score":0.5433403849601746},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.5413107872009277},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5069165825843811},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4686524271965027},{"id":"https://openalex.org/keywords/modal-\u03bc-calculus","display_name":"Modal \u03bc-calculus","score":0.4651400148868561},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.4523053467273712},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4344737231731415},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.42346036434173584},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.41278350353240967},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39636433124542236},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3726976215839386},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.26671937108039856},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.23908695578575134},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12280896306037903}],"concepts":[{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.7037465572357178},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.6417596340179443},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6334871053695679},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.5832028985023499},{"id":"https://openalex.org/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.5433403849601746},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.5413107872009277},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5069165825843811},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4686524271965027},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.4651400148868561},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.4523053467273712},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4344737231731415},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.42346036434173584},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.41278350353240967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39636433124542236},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3726976215839386},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.26671937108039856},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.23908695578575134},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12280896306037903},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3233/fi-2020-1921","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2020-1921","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1803.09709","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.09709","pdf_url":"https://arxiv.org/pdf/1803.09709","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:2794809804","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1803.09709.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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.1803.09709","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1803.09709","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1803.09709","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.09709","pdf_url":"https://arxiv.org/pdf/1803.09709","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2794809804.pdf","grobid_xml":"https://content.openalex.org/works/W2794809804.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W5354317","https://openalex.org/W1982754912","https://openalex.org/W2059354551","https://openalex.org/W2069300761","https://openalex.org/W2088378600","https://openalex.org/W2103774282","https://openalex.org/W2118229393","https://openalex.org/W2137628566","https://openalex.org/W2336123333","https://openalex.org/W3146075203"],"related_works":["https://openalex.org/W3014349184","https://openalex.org/W35550565","https://openalex.org/W1563960380","https://openalex.org/W1509441924","https://openalex.org/W2158942091","https://openalex.org/W1536137640","https://openalex.org/W2155653377","https://openalex.org/W2183228833","https://openalex.org/W29488690","https://openalex.org/W2997148829","https://openalex.org/W3110790126","https://openalex.org/W1551956655","https://openalex.org/W2099036216","https://openalex.org/W2181621864","https://openalex.org/W1588790262","https://openalex.org/W2969534803","https://openalex.org/W2963845050","https://openalex.org/W1785615301","https://openalex.org/W3210547786","https://openalex.org/W1569538979"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,21,63],"general":[3],"system":[4,60],"that":[5],"combines":[6],"the":[7,33,36,44,56],"powerful":[8],"features":[9],"of":[10,24,35,58],"modal":[11,48],"logic":[12,49],"and":[13,50,67],"many-sorted":[14,22],"reasoning.":[15],"Its":[16],"algebraic":[17],"semantics":[18],"leads":[19],"to":[20,42],"generalization":[23],"boolean":[25],"algebras":[26],"with":[27],"operators,":[28],"for":[29],"which":[30],"we":[31],"prove":[32],"analogue":[34],"J\u00f3nsson-Tarski":[37],"theorem.":[38],"Our":[39],"goal":[40],"was":[41],"deepen":[43],"conne":[45],"ctions":[46],"between":[47],"program":[51],"verification,":[52],"while":[53],"also":[54],"testing":[55],"expressiveness":[57],"our":[59],"by":[61],"defining":[62],"small":[64],"imperative":[65],"language":[66],"its":[68],"operational":[69],"semantics.":[70]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}