{"id":"https://openalex.org/W3167807588","doi":"https://doi.org/10.1007/978-3-030-79876-5_24","title":"Making Higher-Order Superposition Work","display_name":"Making Higher-Order Superposition Work","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3167807588","doi":"https://doi.org/10.1007/978-3-030-79876-5_24","mag":"3167807588"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-79876-5_24","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_24","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_24.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":"conference-paper","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_24.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":true,"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"]}]},{"author_position":"middle","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":"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, 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, 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/I1294671590","https://openalex.org/I4210121838","https://openalex.org/I90183372"]},{"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/I4210118862","display_name":"Aesthetic Surgery Center","ror":"https://ror.org/02nn2g073","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210118862"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Simon Cruanes","raw_affiliation_strings":["Aesthetic Integration, Austin, Texas, USA"],"raw_orcid":"https://orcid.org/0000-0003-3969-5850","affiliations":[{"raw_affiliation_string":"Aesthetic Integration, Austin, Texas, USA","institution_ids":["https://openalex.org/I4210118862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026184195","display_name":"Visa Nummelin","orcid":"https://orcid.org/0000-0003-0078-790X"},"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":"Visa Nummelin","raw_affiliation_strings":["Vrije Universiteit Amsterdam, Amsterdam, the Netherlands"],"raw_orcid":"https://orcid.org/0000-0003-0078-790X","affiliations":[{"raw_affiliation_string":"Vrije Universiteit Amsterdam, Amsterdam, the Netherlands","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"last","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, 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, 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/I1294671590","https://openalex.org/I4210121838","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5089828576"],"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":2.4907,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.9137776,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"415","last_page":"432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9976000189781189,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/automated-theorem-proving","display_name":"Automated theorem proving","score":0.7231637835502625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.696657657623291},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.6621904373168945},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.5404824018478394},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.5126973390579224},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5045210123062134},{"id":"https://openalex.org/keywords/rule-of-inference","display_name":"Rule of inference","score":0.45329800248146057},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.45257940888404846},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.43608516454696655},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4311951696872711},{"id":"https://openalex.org/keywords/automated-reasoning","display_name":"Automated reasoning","score":0.4131561815738678},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.34709176421165466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2168779969215393},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.18160083889961243}],"concepts":[{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.7231637835502625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.696657657623291},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.6621904373168945},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.5404824018478394},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.5126973390579224},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5045210123062134},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.45329800248146057},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.45257940888404846},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.43608516454696655},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4311951696872711},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.4131561815738678},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.34709176421165466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2168779969215393},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.18160083889961243},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-030-79876-5_24","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_24","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_24.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/5fa48785-d37c-4e25-a994-7a29143805d7","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/5fa48785-d37c-4e25-a994-7a29143805d7","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":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:HAL:hal-03364024v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-03364024","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":"CADE 2021 - 28th International Conference on Automated Deduction, Jul 2021, Pittsburgh, PA / online, United States. pp.415-432, ⟨10.1007/978-3-030-79876-5_24⟩","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:research.vu.nl:publications/5fa48785-d37c-4e25-a994-7a29143805d7","is_oa":true,"landing_page_url":"https://hdl.handle.net/1871.1/5fa48785-d37c-4e25-a994-7a29143805d7","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":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-79876-5_24","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-79876-5_24","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-79876-5_24.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":"Lean Forward: Usable Computer-Checked Proofs and Computations for Number Theorists","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/G434337789","display_name":null,"funder_award_id":"Horizon2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3167807588.pdf","grobid_xml":"https://content.openalex.org/works/W3167807588.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W1781094","https://openalex.org/W333834217","https://openalex.org/W836255558","https://openalex.org/W1472528886","https://openalex.org/W1522417499","https://openalex.org/W1523376837","https://openalex.org/W1551326782","https://openalex.org/W1554551469","https://openalex.org/W1577869834","https://openalex.org/W1598398705","https://openalex.org/W1689403734","https://openalex.org/W1772968073","https://openalex.org/W1780472831","https://openalex.org/W1820726602","https://openalex.org/W1909465604","https://openalex.org/W1968386045","https://openalex.org/W1990121424","https://openalex.org/W1997110410","https://openalex.org/W2012436850","https://openalex.org/W2034676877","https://openalex.org/W2074769340","https://openalex.org/W2081512679","https://openalex.org/W2088350978","https://openalex.org/W2102647770","https://openalex.org/W2105045857","https://openalex.org/W2107463944","https://openalex.org/W2113065066","https://openalex.org/W2118172707","https://openalex.org/W2221495694","https://openalex.org/W2229132677","https://openalex.org/W2253333731","https://openalex.org/W2399785175","https://openalex.org/W2414651070","https://openalex.org/W2460200316","https://openalex.org/W2477695542","https://openalex.org/W2500310339","https://openalex.org/W2507006525","https://openalex.org/W2588018425","https://openalex.org/W2792493843","https://openalex.org/W2810826868","https://openalex.org/W2886133399","https://openalex.org/W2927212189","https://openalex.org/W2969261745","https://openalex.org/W2969891771","https://openalex.org/W2969992190","https://openalex.org/W2971421462","https://openalex.org/W3010230113","https://openalex.org/W3038732795","https://openalex.org/W3039562913","https://openalex.org/W3040578348","https://openalex.org/W3083676134","https://openalex.org/W3103022014","https://openalex.org/W3114620963","https://openalex.org/W3180051810","https://openalex.org/W3194576001","https://openalex.org/W3194933338","https://openalex.org/W4205248893","https://openalex.org/W4246691913"],"related_works":["https://openalex.org/W2885010049","https://openalex.org/W4246350535","https://openalex.org/W197813433","https://openalex.org/W260563712","https://openalex.org/W4313479320","https://openalex.org/W2186811365","https://openalex.org/W2971533183","https://openalex.org/W162260173","https://openalex.org/W3105824395","https://openalex.org/W2809689211"],"abstract_inverted_index":{"Abstract":[0],"Superposition":[1],"is":[2],"among":[3],"the":[4,33,37,56,67,71],"most":[5],"successful":[6],"calculi":[7],"for":[8],"first-order":[9],"logic.":[10],"Its":[11],"extension":[12],"to":[13,35,62],"higher-order":[14,41,68],"logic":[15],"introduces":[16],"new":[17,25],"challenges":[18],"such":[19,27],"as":[20,28],"infinitely":[21],"branching":[22],"inference":[23],"rules,":[24],"possibilities":[26],"reasoning":[29],"about":[30],"formulas,":[31],"and":[32,50],"need":[34],"curb":[36],"explosion":[38],"of":[39,70],"specific":[40],"rules.":[42],"We":[43],"describe":[44],"techniques":[45],"that":[46],"address":[47],"these":[48],"issues":[49],"extensively":[51],"evaluate":[52],"their":[53,63],"implementation":[54],"in":[55],"Zipperposition":[57,65],"theorem":[58],"prover.":[59],"Largely":[60],"thanks":[61],"use,":[64],"won":[66],"division":[69],"CASC-J10":[72],"competition.":[73]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-03T07:22:36.454288","created_date":"2025-10-10T00:00:00"}