{"id":"https://openalex.org/W3180051810","doi":"https://doi.org/10.1007/978-3-030-79876-5_23","title":"Superposition for Full Higher-order Logic","display_name":"Superposition for Full Higher-order Logic","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3180051810","doi":"https://doi.org/10.1007/978-3-030-79876-5_23","mag":"3180051810"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-79876-5_23","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_23","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_23.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_23.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":true,"raw_author_name":"Alexander Bentkamp","raw_affiliation_strings":["Vrije Universiteit Amsterdam, Amsterdam, the Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-7158-3595","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 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":"https://orcid.org/0000-0002-8367-0936","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/A5057556247","display_name":"Sophie Tourret","orcid":"https://orcid.org/0000-0002-6070-796X"},"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/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"],"is_corresponding":false,"raw_author_name":"Sophie Tourret","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarland Informatics Campus, Saarbr\u00fccken, Germany","Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France"],"raw_orcid":"https://orcid.org/0000-0002-6070-796X","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"]}]},{"author_position":"last","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":["Vrije Universiteit Amsterdam, Amsterdam, the Netherlands"],"raw_orcid":"https://orcid.org/0000-0001-7049-6847","affiliations":[{"raw_affiliation_string":"Vrije Universiteit Amsterdam, Amsterdam, the Netherlands","institution_ids":["https://openalex.org/I865915315"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5028260073"],"corresponding_institution_ids":["https://openalex.org/I865915315"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":6.4626,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.97454844,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"396","last_page":"412"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9947999715805054,"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/T11567","display_name":"semigroups and automata theory","score":0.9890000224113464,"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/superposition-principle","display_name":"Superposition principle","score":0.7342345714569092},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5292985439300537},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4974086582660675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4898516833782196},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.48516350984573364},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.46144169569015503},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4478227198123932},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4245398938655853},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3632890284061432},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3413369655609131},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.334603875875473},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.32845330238342285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3008318245410919},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2005157768726349},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0807027518749237}],"concepts":[{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.7342345714569092},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5292985439300537},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4974086582660675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4898516833782196},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.48516350984573364},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.46144169569015503},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4478227198123932},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4245398938655853},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3632890284061432},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3413369655609131},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.334603875875473},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.32845330238342285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3008318245410919},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2005157768726349},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0807027518749237},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-030-79876-5_23","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_23","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_23.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:research.vu.nl:openaire/aecf15db-2eab-482f-874d-e78d276b5caa","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/aecf15db-2eab-482f-874d-e78d276b5caa","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bentkamp, A, Blanchette, J, Tourret, S & Vukmirovi\u0107, P 2021, Superposition for Full Higher-Order Logic. in A Platzer & G Sutcliffe (eds), Automated Deduction \u2013 CADE 2021 : 28th International Conference on Automated Deduction, Virtual Event, July 12\u201315, 2021, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12699 LNAI, Springer Science and Business Media Deutschland GmbH, pp. 396-412, 28th International Conference on Automated Deduction, CADE 28 2021, Virtual, Online, 12/07/21. https://doi.org/10.1007/978-3-030-79876-5_23","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:HAL:hal-03364032v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-03364032","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CADE 2021 - 28th International Conference on Automated Deduction, Jul 2021, Pittsburgh, PA / online, United States. pp.396-412, &#x27E8;10.1007/978-3-030-79876-5_23&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:research.vu.nl:publications/aecf15db-2eab-482f-874d-e78d276b5caa","is_oa":true,"landing_page_url":"https://hdl.handle.net/1871.1/aecf15db-2eab-482f-874d-e78d276b5caa","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 2021, Superposition for Full Higher-Order Logic. in A Platzer & G Sutcliffe (eds), Automated Deduction \u2013 CADE 2021 : 28th International Conference on Automated Deduction, Virtual Event, July 12\u201315, 2021, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12699 LNAI, Springer Science and Business Media Deutschland GmbH, pp. 396-412, 28th International Conference on Automated Deduction, CADE 28 2021, Virtual, Online, 12/07/21. https://doi.org/10.1007/978-3-030-79876-5_23","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-79876-5_23","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_23","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_23.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"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"},{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","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/W3180051810.pdf","grobid_xml":"https://content.openalex.org/works/W3180051810.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W79561349","https://openalex.org/W836255558","https://openalex.org/W1521083034","https://openalex.org/W1584399668","https://openalex.org/W1599039905","https://openalex.org/W1661653767","https://openalex.org/W1780472831","https://openalex.org/W1955821421","https://openalex.org/W1980214308","https://openalex.org/W1990121424","https://openalex.org/W2037085273","https://openalex.org/W2040723389","https://openalex.org/W2099261111","https://openalex.org/W2229132677","https://openalex.org/W2560539486","https://openalex.org/W2577363039","https://openalex.org/W2588018425","https://openalex.org/W2810826868","https://openalex.org/W2886133399","https://openalex.org/W2908352461","https://openalex.org/W2912020100","https://openalex.org/W3039562913","https://openalex.org/W3040578348","https://openalex.org/W3103022014","https://openalex.org/W3114620963","https://openalex.org/W3128976224","https://openalex.org/W3167807588","https://openalex.org/W3180051810","https://openalex.org/W3181451889","https://openalex.org/W4205248893","https://openalex.org/W4246691913","https://openalex.org/W4393444854"],"related_works":["https://openalex.org/W4308749380","https://openalex.org/W2037841693","https://openalex.org/W2372481764","https://openalex.org/W1977264433","https://openalex.org/W2746368218","https://openalex.org/W4308448008","https://openalex.org/W2347371661","https://openalex.org/W2012943989","https://openalex.org/W3005471417","https://openalex.org/W2287286086"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"recently":[2],"designed":[3],"two":[4,62],"calculi":[5],"as":[6],"stepping":[7],"stones":[8],"towards":[9],"superposition":[10,22],"for":[11,23,42],"full":[12],"higher-order":[13,43,85],"logic:":[14],"Boolean-free":[15],"$$\\lambda":[16,71],"$$":[17,72],"<mml:math":[18,73],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>\u03bb</mml:mi></mml:math>":[19,74],"-superposition":[20],"and":[21,38,50,76,88],"first-order":[24],"logic":[25,44],"with":[26,45,93],"interpreted":[27],"Booleans.":[28,77],"Stepping":[29],"on":[30,90],"these":[31],"stones,":[32],"we":[33],"finally":[34],"reach":[35],"a":[36,91],"sound":[37],"refutationally":[39],"complete":[40],"calculus":[41],"polymorphism,":[46],"extensionality,":[47],"Hilbert":[48],"choice,":[49],"Henkin":[51],"semantics.":[52],"In":[53],"addition":[54],"to":[55],"the":[56,60,68],"complexity":[57],"of":[58,98],"combining":[59],"calculus\u2019s":[61],"predecessors,":[63],"new":[64],"challenges":[65],"arise":[66],"from":[67],"interplay":[69],"between":[70],"-terms":[75],"Our":[78],"implementation":[79],"in":[80,100],"Zipperposition":[81],"outperforms":[82],"all":[83],"other":[84],"theorem":[86],"provers":[87],"is":[89],"par":[92],"an":[94],"earlier,":[95],"pragmatic":[96],"prototype":[97],"Booleans":[99],"Zipperposition.":[101]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3}],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}