{"id":"https://openalex.org/W2745840098","doi":"https://doi.org/10.1007/978-3-319-66167-4_15","title":"First-Order Interpolation of Non-classical Logics Derived from Propositional Interpolation","display_name":"First-Order Interpolation of Non-classical Logics Derived from Propositional Interpolation","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2745840098","doi":"https://doi.org/10.1007/978-3-319-66167-4_15","mag":"2745840098"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-66167-4_15","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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"book-chapter","type_crossref":"book-chapter","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/A5035315045","display_name":"Matthias Baaz","orcid":"https://orcid.org/0000-0002-7815-2501"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Matthias Baaz","raw_affiliation_strings":["Institut F\u00fcr Diskrete Mathematik und Geometrie 104, Technische Universit\u00e4t Wien, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Institut F\u00fcr Diskrete Mathematik und Geometrie 104, Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049335796","display_name":"Anela Loli\u0107","orcid":"https://orcid.org/0000-0002-4753-7302"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Anela Lolic","raw_affiliation_strings":["Institut F\u00fcr Diskrete Mathematik und Geometrie 104, Technische Universit\u00e4t Wien, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Institut F\u00fcr Diskrete Mathematik und Geometrie 104, Technische Universit\u00e4t Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392,"provenance":"doaj"},"apc_paid":null,"fwci":1.799,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.692143,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":78,"max":80},"biblio":{"volume":null,"issue":null,"first_page":"265","last_page":"280"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Fuzzy Logic and Residuated Lattices","score":0.9986,"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":"Fuzzy Logic and Residuated Lattices","score":0.9986,"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 Programming and Knowledge Representation","score":0.9901,"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/T10126","display_name":"Program Analysis and Verification Techniques","score":0.9899,"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.64596397},{"id":"https://openalex.org/keywords/nonmonotonic-reasoning","display_name":"Nonmonotonic Reasoning","score":0.535304},{"id":"https://openalex.org/keywords/modal-logics","display_name":"Modal Logics","score":0.522375},{"id":"https://openalex.org/keywords/separation-logic","display_name":"Separation Logic","score":0.51201},{"id":"https://openalex.org/keywords/temporal-logic","display_name":"Temporal Logic","score":0.505259},{"id":"https://openalex.org/keywords/t-norm-fuzzy-logics","display_name":"T-norm fuzzy logics","score":0.47187322},{"id":"https://openalex.org/keywords/monoidal-t-norm-logic","display_name":"Monoidal t-norm logic","score":0.45686173},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.44268426},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.41967258}],"concepts":[{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.6747863},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.64596397},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.6062515},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.53076357},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.47187322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46233675},{"id":"https://openalex.org/C98224912","wikidata":"https://www.wikidata.org/wiki/Q6901647","display_name":"Monoidal t-norm logic","level":5,"score":0.45686173},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.44268426},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42012534},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.41967258},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4173492},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.41151798},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34420532},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.330693},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30138975},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.18425581},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.13217458},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12253755},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.121818304},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.10195604},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.0},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.0},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-66167-4_15","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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":16,"referenced_works":["https://openalex.org/W1611875164","https://openalex.org/W1949943063","https://openalex.org/W1968647304","https://openalex.org/W1973539826","https://openalex.org/W2037330115","https://openalex.org/W2041053214","https://openalex.org/W2060794945","https://openalex.org/W2071369407","https://openalex.org/W2080694187","https://openalex.org/W2084443499","https://openalex.org/W2114633883","https://openalex.org/W2331346174","https://openalex.org/W2526982836","https://openalex.org/W4252147174","https://openalex.org/W619146373","https://openalex.org/W638356045"],"related_works":["https://openalex.org/W4238564440","https://openalex.org/W2949968785","https://openalex.org/W2441642482","https://openalex.org/W2363743690","https://openalex.org/W2285760602","https://openalex.org/W2156897951","https://openalex.org/W2086252467","https://openalex.org/W2030948396","https://openalex.org/W1975241902","https://openalex.org/W1907513460"],"abstract_inverted_index":{"This":[0,34],"paper":[1],"develops":[2],"a":[3,25,31],"general":[4],"methodology":[5,35],"to":[6,29],"connect":[7],"propositional":[8,26],"and":[9,19,47],"first-order":[10,32,52],"interpolation.":[11],"In":[12],"fact,":[13],"the":[14,42,55],"existence":[15],"of":[16,20,57],"suitable":[17],"skolemizations":[18],"Herbrand":[21],"expansions":[22],"together":[23],"with":[24],"interpolant":[27],"suffice":[28],"construct":[30],"interpolant.":[33],"is":[36],"realized":[37],"for":[38,48],"lattice-based":[39],"finitely-valued":[40],"logics,":[41],"top":[43],"element":[44],"representing":[45],"true":[46],"(fragments":[49],"of)":[50],"infinitely-valued":[51],"G\u00f6del":[53],"logic,":[54],"logic":[56],"all":[58],"linearly":[59],"ordered":[60],"constant":[61],"domain":[62],"Kripke":[63],"frames.":[64]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2745840098","counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2024-09-18T21:19:10.809378","created_date":"2017-08-31"}