{"id":"https://openalex.org/W2810826868","doi":"https://doi.org/10.1007/978-3-319-94205-6_3","title":"Superposition for Lambda-Free Higher-Order Logic","display_name":"Superposition for Lambda-Free Higher-Order Logic","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2810826868","doi":"https://doi.org/10.1007/978-3-319-94205-6_3","mag":"2810826868"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-94205-6_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-94205-6_3","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":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/7349/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028260073","display_name":"Alexander Bentkamp","orcid":"https://orcid.org/0000-0002-7158-3595"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Alexander Bentkamp","raw_affiliation_strings":["Vrije Universiteit Amsterdam, Amsterdam, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vrije Universiteit Amsterdam, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079200257","display_name":"Jasmin Christian Blanchette","orcid":"https://orcid.org/0000-0002-8367-0936"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"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/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]},{"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":["DE","FR","NL"],"is_corresponding":false,"raw_author_name":"Jasmin Christian Blanchette","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarland Informatics Campus, Saarbr\u00fccken, Germany","Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France","Vrije Universiteit Amsterdam, Amsterdam, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Saarland Informatics Campus, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Vrije Universiteit Amsterdam, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101604906","display_name":"Simon Cruanes","orcid":"https://orcid.org/0000-0003-3969-5850"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210118862","display_name":"Aesthetic Surgery Center","ror":"https://ror.org/02nn2g073","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210118862"]},{"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/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Simon Cruanes","raw_affiliation_strings":["Aesthetic Integration, Austin, TX, USA","Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aesthetic Integration, Austin, TX, USA","institution_ids":["https://openalex.org/I4210118862"]},{"raw_affiliation_string":"Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008310084","display_name":"Uwe Waldmann","orcid":"https://orcid.org/0000-0002-0676-7195"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Uwe Waldmann","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarland Informatics Campus, Saarbr\u00fccken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Saarland Informatics Campus, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.5618,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.95687618,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"Volume 17, Issue 2","issue":null,"first_page":"28","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9945999979972839,"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":0.9904999732971191,"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/hol","display_name":"HOL","score":0.7850924134254456},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.7337302565574646},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.6983873248100281},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.6943166255950928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.665189266204834},{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.6118341088294983},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.5504735708236694},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.5398006439208984},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.45854806900024414},{"id":"https://openalex.org/keywords/extensional-definition","display_name":"Extensional definition","score":0.43524783849716187},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.42808374762535095},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4142743647098541},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4077458381652832},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3265610337257385},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30314868688583374},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.19256633520126343},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.13621997833251953},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08500975370407104}],"concepts":[{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.7850924134254456},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7337302565574646},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.6983873248100281},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.6943166255950928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.665189266204834},{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.6118341088294983},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.5504735708236694},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.5398006439208984},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.45854806900024414},{"id":"https://openalex.org/C136137745","wikidata":"https://www.wikidata.org/wiki/Q19515659","display_name":"Extensional definition","level":3,"score":0.43524783849716187},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.42808374762535095},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4142743647098541},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4077458381652832},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3265610337257385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30314868688583374},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.19256633520126343},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.13621997833251953},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08500975370407104},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C77928131","wikidata":"https://www.wikidata.org/wiki/Q193343","display_name":"Tectonics","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/978-3-319-94205-6_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-94205-6_3","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":"doi:10.23638/lmcs-17(2:1)2021","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-17(2:1)2021","pdf_url":"https://lmcs.episciences.org/7349/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2005.02094","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.02094","pdf_url":"https://arxiv.org/pdf/2005.02094","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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01904595v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01904595","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":"IJCAR 2018 - 9th International Joint Conference on Automated Reasoning, Jul 2018, Oxford, United Kingdom","raw_type":"Conference papers"},{"id":"pmh:oai:pure.mpg.de:item_3005464","is_oa":false,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0002-5F3A-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lecture Notes in Artificial Intelligence","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.mpg.de:item_3287510","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0008-0A5F-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/workingPaper"},{"id":"pmh:vu:oai:research.vu.nl:publications/68914ebd-376b-450d-b852-c9fdba720260","is_oa":false,"landing_page_url":"https://research.vu.nl/en/publications/68914ebd-376b-450d-b852-c9fdba720260","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Automated Reasoning: 9th International Joint Conference, IJCAR 2018 Held as Part of the Federated Logic Conference, FloC 2018 Oxford, UK, July 14\u201317, 2018 Proceedings, 28 - 46","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":{"id":"doi:10.23638/lmcs-17(2:1)2021","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-17(2:1)2021","pdf_url":"https://lmcs.episciences.org/7349/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6937246109","display_name":null,"funder_award_id":"713999","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2810826868.pdf","grobid_xml":"https://content.openalex.org/works/W2810826868.grobid-xml"},"referenced_works_count":73,"referenced_works":["https://openalex.org/W1781094","https://openalex.org/W17974129","https://openalex.org/W26772505","https://openalex.org/W29796863","https://openalex.org/W79561349","https://openalex.org/W158565500","https://openalex.org/W182525246","https://openalex.org/W333834217","https://openalex.org/W1508641834","https://openalex.org/W1513576223","https://openalex.org/W1519551513","https://openalex.org/W1521083034","https://openalex.org/W1526060127","https://openalex.org/W1531639736","https://openalex.org/W1552713121","https://openalex.org/W1554618854","https://openalex.org/W1566741425","https://openalex.org/W1585276220","https://openalex.org/W1592758987","https://openalex.org/W1599039905","https://openalex.org/W1608522276","https://openalex.org/W1661653767","https://openalex.org/W1749440414","https://openalex.org/W1780472831","https://openalex.org/W1821440096","https://openalex.org/W1955821421","https://openalex.org/W1966048066","https://openalex.org/W1979623128","https://openalex.org/W1982776852","https://openalex.org/W1983193642","https://openalex.org/W1990946582","https://openalex.org/W1996404651","https://openalex.org/W2037085273","https://openalex.org/W2041375296","https://openalex.org/W2084443499","https://openalex.org/W2099261111","https://openalex.org/W2102647770","https://openalex.org/W2106192381","https://openalex.org/W2115610240","https://openalex.org/W2121298157","https://openalex.org/W2122586059","https://openalex.org/W2123510160","https://openalex.org/W2149257851","https://openalex.org/W2160221808","https://openalex.org/W2160331299","https://openalex.org/W2216530300","https://openalex.org/W2229132677","https://openalex.org/W2248568643","https://openalex.org/W2251246155","https://openalex.org/W2254409895","https://openalex.org/W2262606152","https://openalex.org/W2574954963","https://openalex.org/W2583369873","https://openalex.org/W2587613907","https://openalex.org/W2613299215","https://openalex.org/W2734717629","https://openalex.org/W2735771386","https://openalex.org/W2749302087","https://openalex.org/W2810826868","https://openalex.org/W2886133399","https://openalex.org/W2898781894","https://openalex.org/W2917421790","https://openalex.org/W2951574503","https://openalex.org/W2951613607","https://openalex.org/W2969261745","https://openalex.org/W2969891771","https://openalex.org/W2990056319","https://openalex.org/W3039562913","https://openalex.org/W3040578348","https://openalex.org/W3194576001","https://openalex.org/W3194933338","https://openalex.org/W4237086808","https://openalex.org/W4250846042"],"related_works":["https://openalex.org/W2490199991","https://openalex.org/W1909465604","https://openalex.org/W2161389420","https://openalex.org/W4386350920","https://openalex.org/W2523117645","https://openalex.org/W2787637024","https://openalex.org/W2809689211","https://openalex.org/W260563712","https://openalex.org/W162260173","https://openalex.org/W1799115352"],"abstract_inverted_index":{"We":[0,50],"introduce":[1],"refutationally":[2],"complete":[3],"superposition":[4],"calculi":[5,24,53],"for":[6,80],"intentional":[7],"and":[8,20,47,58,63],"extensional":[9],"clausal":[10],"$\\lambda$-free":[11,43],"higher-order":[12,44,82],"logic,":[13],"two":[14],"formalisms":[15],"that":[16,31],"allow":[17],"partial":[18],"application":[19],"applied":[21],"variables.":[22],"The":[23],"are":[25],"parameterized":[26],"by":[27],"a":[28,70],"term":[29],"order":[30],"need":[32],"not":[33],"be":[34],"fully":[35],"monotonic,":[36],"making":[37],"it":[38],"possible":[39],"to":[40],"employ":[41],"the":[42,52,55],"lexicographic":[45],"path":[46],"Knuth-Bendix":[48],"orders.":[49],"implemented":[51],"in":[54],"Zipperposition":[56],"prover":[57],"evaluated":[59],"them":[60],"on":[61],"Isabelle/HOL":[62],"TPTP":[64],"benchmarks.":[65],"They":[66],"appear":[67],"promising":[68],"as":[69],"stepping":[71],"stone":[72],"towards":[73],"complete,":[74],"highly":[75],"efficient":[76],"automatic":[77],"theorem":[78],"provers":[79],"full":[81],"logic.":[83],"Comment:":[84],"arXiv":[85],"admin":[86],"note:":[87],"text":[88],"overlap":[89],"with":[90],"arXiv:2102.00453":[91]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-10-10T00:00:00"}