{"id":"https://openalex.org/W3194933338","doi":"https://doi.org/10.1007/s10817-021-09595-y","title":"Superposition with Lambdas","display_name":"Superposition with Lambdas","publication_year":2021,"publication_date":"2021-08-21","ids":{"openalex":"https://openalex.org/W3194933338","doi":"https://doi.org/10.1007/s10817-021-09595-y","mag":"3194933338"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-021-09595-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-021-09595-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-021-09595-y.pdf","source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10817-021-09595-y.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":["Section of Theoretical Computer Science, Department of Computer Science, Vrije Universiteit Amsterdam, De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands","VU - Vrije Universiteit Amsterdam [Amsterdam] (De Boelelaan 1105 1081 HV Amsterdam - Netherlands)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Section of Theoretical Computer Science, Department of Computer Science, Vrije Universiteit Amsterdam, De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]},{"raw_affiliation_string":"VU - Vrije Universiteit Amsterdam [Amsterdam] (De Boelelaan 1105 1081 HV Amsterdam - 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/I4210155607","display_name":"Laboratoire d'Informatique en Images et Syst\u00e8mes d'Information","ror":"https://ror.org/04dv4he91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I188626449","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210155607","https://openalex.org/I48430043"]},{"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":["FR","NL"],"is_corresponding":false,"raw_author_name":"Jasmin Blanchette","raw_affiliation_strings":["Section of Theoretical Computer Science, Department of Computer Science, Vrije Universiteit Amsterdam, De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands","VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (615 rue du Jardin Botanique 54600 Villers-l\u00e8s-Nancy - France)","Computer Systems Section - Vrije Universiteit Amsterdam (De Boelelaan 1081, 1081 HV Amsterdam - Netherlands)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Section of Theoretical Computer Science, Department of Computer Science, Vrije Universiteit Amsterdam, De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]},{"raw_affiliation_string":"VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (615 rue du Jardin Botanique 54600 Villers-l\u00e8s-Nancy - France)","institution_ids":["https://openalex.org/I4210155607"]},{"raw_affiliation_string":"Computer Systems Section - Vrije Universiteit Amsterdam (De Boelelaan 1081, 1081 HV Amsterdam - Netherlands)","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057556247","display_name":"Sophie Tourret","orcid":"https://orcid.org/0000-0002-6070-796X"},"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"]},{"id":"https://openalex.org/I4210155607","display_name":"Laboratoire d'Informatique en Images et Syst\u00e8mes d'Information","ror":"https://ror.org/04dv4he91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I188626449","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210155607","https://openalex.org/I48430043"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Sophie Tourret","raw_affiliation_strings":["Max-Planck-Institut fr Informatik, Saarland Informatics Campus E1 4, 66123 Saarbrcken, Germany","VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (615 rue du Jardin Botanique 54600 Villers-l\u00e8s-Nancy - France)","MOSEL - Proof-oriented development of computer-based systems (France)","MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut fr Informatik, Saarland Informatics Campus E1 4, 66123 Saarbrcken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (615 rue du Jardin Botanique 54600 Villers-l\u00e8s-Nancy - France)","institution_ids":["https://openalex.org/I4210155607"]},{"raw_affiliation_string":"MOSEL - Proof-oriented development of computer-based systems (France)","institution_ids":[]},{"raw_affiliation_string":"MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089828576","display_name":"Petar Vukmirovi\u0107","orcid":"https://orcid.org/0000-0001-7049-6847"},"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":"Petar Vukmirovi\u0107","raw_affiliation_strings":["VU - Vrije Universiteit Amsterdam [Amsterdam] (De Boelelaan 1105 1081 HV Amsterdam - Netherlands)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"VU - Vrije Universiteit Amsterdam [Amsterdam] (De Boelelaan 1105 1081 HV Amsterdam - Netherlands)","institution_ids":["https://openalex.org/I865915315"]}]},{"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 fr Informatik, Saarland Informatics Campus E1 4, 66123 Saarbrcken, Germany","MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut fr Informatik, Saarland Informatics Campus E1 4, 66123 Saarbrcken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.5393,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.86110257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"65","issue":"7","first_page":"893","last_page":"940"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9944000244140625,"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/unification","display_name":"Unification","score":0.6459414958953857},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.6120028495788574},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5790401101112366},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5243942141532898},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.519881010055542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5166721343994141},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4538300633430481},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.43574652075767517},{"id":"https://openalex.org/keywords/extensional-definition","display_name":"Extensional definition","score":0.4128561019897461},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4001545011997223},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3507766127586365},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3386685252189636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2719026207923889},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06866741180419922},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06257855892181396}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.6459414958953857},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.6120028495788574},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5790401101112366},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5243942141532898},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.519881010055542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5166721343994141},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4538300633430481},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.43574652075767517},{"id":"https://openalex.org/C136137745","wikidata":"https://www.wikidata.org/wiki/Q19515659","display_name":"Extensional definition","level":3,"score":0.4128561019897461},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4001545011997223},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3507766127586365},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3386685252189636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2719026207923889},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06866741180419922},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06257855892181396},{"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},{"id":"https://openalex.org/C77928131","wikidata":"https://www.wikidata.org/wiki/Q193343","display_name":"Tectonics","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10817-021-09595-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-021-09595-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-021-09595-y.pdf","source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03485185v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-03485185","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":"Journal of Automated Reasoning, 2021, 65 (7), pp.893-940. &#x27E8;10.1007/s10817-021-09595-y&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:research.vu.nl:publications/0bb66062-219b-4f78-b76f-5f7d3e12d222","is_oa":true,"landing_page_url":"https://hdl.handle.net/1871.1/0bb66062-219b-4f78-b76f-5f7d3e12d222","pdf_url":null,"source":{"id":"https://openalex.org/S4306401107","display_name":"VU Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I865915315","host_organization_name":"Vrije Universiteit Amsterdam","host_organization_lineage":["https://openalex.org/I865915315"],"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":"Bentkamp, A, Blanchette, J, Tourret, S, Vukmirovi\u0107, P & Waldmann, U 2021, 'Superposition with Lambdas', Journal of Automated Reasoning, vol. 65, no. 7, pp. 893-940. https://doi.org/10.1007/s10817-021-09595-y","raw_type":"article"},{"id":"pmh:vu:oai:research.vu.nl:publications/0bb66062-219b-4f78-b76f-5f7d3e12d222","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/0bb66062-219b-4f78-b76f-5f7d3e12d222","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Automated Reasoning, 65(7), 893 - 940. Springer Netherlands","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10817-021-09595-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-021-09595-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-021-09595-y.pdf","source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3936710689","display_name":null,"funder_award_id":"016.Vidi.189.037","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"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"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3194933338.pdf","grobid_xml":"https://content.openalex.org/works/W3194933338.grobid-xml"},"referenced_works_count":72,"referenced_works":["https://openalex.org/W1781094","https://openalex.org/W29796863","https://openalex.org/W79561349","https://openalex.org/W182525246","https://openalex.org/W836255558","https://openalex.org/W1424724424","https://openalex.org/W1485115793","https://openalex.org/W1488962419","https://openalex.org/W1494812539","https://openalex.org/W1496386645","https://openalex.org/W1513576223","https://openalex.org/W1521083034","https://openalex.org/W1526060127","https://openalex.org/W1531639736","https://openalex.org/W1540912919","https://openalex.org/W1552713121","https://openalex.org/W1566450728","https://openalex.org/W1599039905","https://openalex.org/W1608522276","https://openalex.org/W1661653767","https://openalex.org/W1689403734","https://openalex.org/W1749440414","https://openalex.org/W1780472831","https://openalex.org/W1909465604","https://openalex.org/W1968386045","https://openalex.org/W1974087219","https://openalex.org/W1975808446","https://openalex.org/W1979623128","https://openalex.org/W1980214308","https://openalex.org/W1986072156","https://openalex.org/W1990121424","https://openalex.org/W1990946582","https://openalex.org/W2033042203","https://openalex.org/W2034155940","https://openalex.org/W2034676877","https://openalex.org/W2037085273","https://openalex.org/W2040723389","https://openalex.org/W2068880842","https://openalex.org/W2075352622","https://openalex.org/W2081512679","https://openalex.org/W2099261111","https://openalex.org/W2113065066","https://openalex.org/W2115610240","https://openalex.org/W2160331299","https://openalex.org/W2216530300","https://openalex.org/W2229132677","https://openalex.org/W2399753239","https://openalex.org/W2507006525","https://openalex.org/W2568721247","https://openalex.org/W2577363039","https://openalex.org/W2587613907","https://openalex.org/W2588018425","https://openalex.org/W2749302087","https://openalex.org/W2792493843","https://openalex.org/W2810826868","https://openalex.org/W2886133399","https://openalex.org/W2921472921","https://openalex.org/W2927212189","https://openalex.org/W2949881057","https://openalex.org/W2965894480","https://openalex.org/W2969261745","https://openalex.org/W2969891771","https://openalex.org/W2969992190","https://openalex.org/W3010230113","https://openalex.org/W3039562913","https://openalex.org/W3040578348","https://openalex.org/W3103022014","https://openalex.org/W3105385839","https://openalex.org/W3114620963","https://openalex.org/W3194576001","https://openalex.org/W4205248893","https://openalex.org/W4237061074"],"related_works":["https://openalex.org/W15327897","https://openalex.org/W195729862","https://openalex.org/W4246350535","https://openalex.org/W4238632608","https://openalex.org/W3083050876","https://openalex.org/W1875958796","https://openalex.org/W1780472831","https://openalex.org/W1976200187","https://openalex.org/W1561644379","https://openalex.org/W2969536091"],"abstract_inverted_index":{"Abstract":[0],"We":[1,56],"designed":[2],"a":[3,7,78],"superposition":[4,76],"calculus":[5,59],"for":[6,81],"clausal":[8],"fragment":[9],"of":[10,39],"extensional":[11],"polymorphic":[12],"higher-order":[13,50,82],"logic":[14],"that":[15,75],"includes":[16],"anonymous":[17],"functions":[18],"but":[19],"excludes":[20],"Booleans.":[21],"The":[22,72],"inference":[23],"rules":[24],"work":[25],"on":[26,49,67],"$$\\beta":[27],"\\eta":[28],"$$":[29,41],"<mml:math":[30,42],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[31,43],"<mml:mrow>":[32],"<mml:mi>\u03b2</mml:mi>":[33],"<mml:mi>\u03b7</mml:mi>":[34],"</mml:mrow>":[35],"</mml:math>":[36,45],"-equivalence":[37],"classes":[38],"$$\\lambda":[40],"<mml:mi>\u03bb</mml:mi>":[44],"-terms":[46],"and":[47,64,69],"rely":[48],"unification":[51],"to":[52],"achieve":[53],"refutational":[54],"completeness.":[55],"implemented":[57],"the":[58,61],"in":[60],"Zipperposition":[62],"prover":[63],"evaluated":[65],"it":[66],"TPTP":[68],"Isabelle":[70],"benchmarks.":[71],"results":[73],"suggest":[74],"is":[77],"suitable":[79],"basis":[80],"reasoning.":[83]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}