{"id":"https://openalex.org/W1807678626","doi":"https://doi.org/10.1007/s11787-012-0052-y","title":"Quantified Multimodal Logics in Simple Type Theory","display_name":"Quantified Multimodal Logics in Simple Type Theory","publication_year":2012,"publication_date":"2012-05-26","ids":{"openalex":"https://openalex.org/W1807678626","doi":"https://doi.org/10.1007/s11787-012-0052-y","mag":"1807678626"},"language":"en","primary_location":{"id":"doi:10.1007/s11787-012-0052-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11787-012-0052-y","pdf_url":null,"source":{"id":"https://openalex.org/S120609085","display_name":"Logica Universalis","issn_l":"1661-8297","issn":["1661-8297","1661-8300"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logica Universalis","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/A5055110324","display_name":"Christoph Benzm\u00fcller","orcid":"https://orcid.org/0000-0002-3392-3093"},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christoph Benzm\u00fcller","raw_affiliation_strings":["Department of Mathematics and Computer Science, Free University Berlin, 14195, Berlin, Germany","Free University, Berlin,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Free University Berlin, 14195, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Free University, Berlin,","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086565312","display_name":"Lawrence C. Paulson","orcid":"https://orcid.org/0000-0003-0288-4279"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lawrence C. Paulson","raw_affiliation_strings":["Computer Laboratory, University of Cambridge, Cambridge, CB3 0FD, UK","University of Cambridge,"],"affiliations":[{"raw_affiliation_string":"Computer Laboratory, University of Cambridge, Cambridge, CB3 0FD, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"University of Cambridge,","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055110324"],"corresponding_institution_ids":["https://openalex.org/I75951250"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":8.8398,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.97636266,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"7","issue":"1","first_page":"7","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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":0.9997000098228455,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9925000071525574,"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":0.8722650408744812},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.8123213052749634},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.746084451675415},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7381105422973633},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6313040256500244},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5902132987976074},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.5339241027832031},{"id":"https://openalex.org/keywords/monoidal-t-norm-logic","display_name":"Monoidal t-norm logic","score":0.46385690569877625},{"id":"https://openalex.org/keywords/model-theory","display_name":"Model theory","score":0.4408014118671417},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.43864572048187256},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.4235602617263794},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37298059463500977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35907503962516785},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35080334544181824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34219104051589966},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33323681354522705},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28162088990211487},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24967923760414124},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.11996173858642578},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.10107243061065674},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07926556468009949},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0717521607875824},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.06293275952339172}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8722650408744812},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.8123213052749634},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.746084451675415},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7381105422973633},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6313040256500244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5902132987976074},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.5339241027832031},{"id":"https://openalex.org/C98224912","wikidata":"https://www.wikidata.org/wiki/Q6901647","display_name":"Monoidal t-norm logic","level":5,"score":0.46385690569877625},{"id":"https://openalex.org/C47030870","wikidata":"https://www.wikidata.org/wiki/Q467606","display_name":"Model theory","level":2,"score":0.4408014118671417},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.43864572048187256},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.4235602617263794},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37298059463500977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35907503962516785},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35080334544181824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34219104051589966},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33323681354522705},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28162088990211487},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24967923760414124},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.11996173858642578},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.10107243061065674},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07926556468009949},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0717521607875824},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.06293275952339172},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11787-012-0052-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11787-012-0052-y","pdf_url":null,"source":{"id":"https://openalex.org/S120609085","display_name":"Logica Universalis","issn_l":"1661-8297","issn":["1661-8297","1661-8300"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logica Universalis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.211.1744","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.211.1744","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cl.cam.ac.uk/~lp15/papers/Reports/SR\u20132009\u201302.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4490653563","display_name":null,"funder_award_id":"EP/D070511/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1562406943","https://openalex.org/W1595209293","https://openalex.org/W1661653767","https://openalex.org/W1943070836","https://openalex.org/W1955821421","https://openalex.org/W1974725248","https://openalex.org/W1981904119","https://openalex.org/W1984201153","https://openalex.org/W1987549075","https://openalex.org/W1991650963","https://openalex.org/W1996404651","https://openalex.org/W2007901899","https://openalex.org/W2030002668","https://openalex.org/W2068880842","https://openalex.org/W2071369407","https://openalex.org/W2074944668","https://openalex.org/W2084797476","https://openalex.org/W2104015589","https://openalex.org/W2106192381","https://openalex.org/W2132060693","https://openalex.org/W2138366464","https://openalex.org/W2155581733","https://openalex.org/W2158866205","https://openalex.org/W2160331299","https://openalex.org/W2163197731","https://openalex.org/W2163751633","https://openalex.org/W2527488046","https://openalex.org/W2946646609","https://openalex.org/W2963817577","https://openalex.org/W4205349297","https://openalex.org/W4233906803","https://openalex.org/W4241831839","https://openalex.org/W4247797067","https://openalex.org/W4250846042","https://openalex.org/W4299731435"],"related_works":["https://openalex.org/W2952113515","https://openalex.org/W2963817577","https://openalex.org/W2091240930","https://openalex.org/W2145625628","https://openalex.org/W2518737062","https://openalex.org/W4297809224","https://openalex.org/W2041021428","https://openalex.org/W2345369901","https://openalex.org/W2121082846","https://openalex.org/W1807678626"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
