{"id":"https://openalex.org/W4281677347","doi":"https://doi.org/10.1007/s10817-022-09621-7","title":"A Comprehensive Framework for Saturation Theorem Proving","display_name":"A Comprehensive Framework for Saturation Theorem Proving","publication_year":2022,"publication_date":"2022-06-07","ids":{"openalex":"https://openalex.org/W4281677347","doi":"https://doi.org/10.1007/s10817-022-09621-7","pmid":"https://pubmed.ncbi.nlm.nih.gov/36353684"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-022-09621-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-022-09621-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-022-09621-7.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","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10817-022-09621-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":true,"raw_author_name":"Uwe Waldmann","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Saarland Informatics Campus, Saarbr\u00fccken, Germany","MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)","VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (France)"],"raw_orcid":"https://orcid.org/0000-0002-0676-7195","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":"MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (France)","institution_ids":[]}]},{"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/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]},{"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":true,"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","Inria Nancy - Grand Est (615 rue du Jardin Botanique 54600 Villers-l\u00e8s-Nancy - France)","VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (France)"],"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/I1294671590","https://openalex.org/I4210121838","https://openalex.org/I90183372"]},{"raw_affiliation_string":"Inria Nancy - Grand Est (615 rue du Jardin Botanique 54600 Villers-l\u00e8s-Nancy - France)","institution_ids":["https://openalex.org/I4210127166"]},{"raw_affiliation_string":"VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011013779","display_name":"Simon Robillard","orcid":"https://orcid.org/0000-0003-4751-380X"},"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/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Simon Robillard","raw_affiliation_strings":["LIRMM, Universit\u00e9 de Montpellier, CNRS, Montpellier, France","LIRMM | MAREL - Models And Reuse Engineering, Languages (LIRMM, 161 rue Ada, 34000 Montpellier - France)","UM - Universit\u00e9 de Montpellier (163 rue Auguste Broussonnet - 34090 Montpellier - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIRMM, Universit\u00e9 de Montpellier, CNRS, Montpellier, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I19894307","https://openalex.org/I4210101743"]},{"raw_affiliation_string":"LIRMM | MAREL - Models And Reuse Engineering, Languages (LIRMM, 161 rue Ada, 34000 Montpellier - France)","institution_ids":["https://openalex.org/I4210101743"]},{"raw_affiliation_string":"UM - Universit\u00e9 de Montpellier (163 rue Auguste Broussonnet - 34090 Montpellier - France)","institution_ids":["https://openalex.org/I19894307"]}]},{"author_position":"last","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":true,"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","VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (France)","VU - Vrije Universiteit Amsterdam [Amsterdam] (De Boelelaan 1105 1081 HV Amsterdam - 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/I1294671590","https://openalex.org/I4210121838","https://openalex.org/I90183372"]},{"raw_affiliation_string":"Vrije Universiteit Amsterdam, Amsterdam, the Netherlands","institution_ids":["https://openalex.org/I865915315"]},{"raw_affiliation_string":"VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (France)","institution_ids":[]},{"raw_affiliation_string":"VU - Vrije Universiteit Amsterdam [Amsterdam] (De Boelelaan 1105 1081 HV Amsterdam - Netherlands)","institution_ids":["https://openalex.org/I865915315"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5008310084","https://openalex.org/A5011013779","https://openalex.org/A5057556247","https://openalex.org/A5079200257"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210109712","https://openalex.org/I4210121838","https://openalex.org/I4210127166","https://openalex.org/I865915315","https://openalex.org/I90183372"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":1.2774,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.82189,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"66","issue":"4","first_page":"499","last_page":"539"},"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":0.9943000078201294,"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":0.9915000200271606,"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/automated-theorem-proving","display_name":"Automated theorem proving","score":0.7109382152557373},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6606022715568542},{"id":"https://openalex.org/keywords/hol","display_name":"HOL","score":0.6056885719299316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6045377850532532},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5305737853050232},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.5245740413665771},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.5028287768363953},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5007095336914062},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4798014461994171},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4321480989456177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.338134765625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.319507360458374}],"concepts":[{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.7109382152557373},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6606022715568542},{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.6056885719299316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6045377850532532},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5305737853050232},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.5245740413665771},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.5028287768363953},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5007095336914062},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4798014461994171},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4321480989456177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.338134765625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.319507360458374},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10817-022-09621-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-022-09621-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-022-09621-7.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":"pmid:36353684","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36353684","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of automated reasoning","raw_type":null},{"id":"pmh:oai:research.vu.nl:openaire/04fbca2a-c66f-4cee-a1a1-bca932a6ff60","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/04fbca2a-c66f-4cee-a1a1-bca932a6ff60","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":"Waldmann, U, Tourret, S, Robillard, S & Blanchette, J 2022, 'A Comprehensive Framework for Saturation Theorem Proving', Journal of Automated Reasoning, vol. 66, no. 4, pp. 499-539. https://doi.org/10.1007/s10817-022-09621-7","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-03909983v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03909983","pdf_url":"https://inria.hal.science/hal-03909983/document","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Automated Reasoning, 2022, 66 (4), pp.499-539. &#x27E8;10.1007/s10817-022-09621-7&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pubmedcentral.nih.gov:9637109","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9637109","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"J Autom Reason","raw_type":"Text"},{"id":"pmh:oai:research.vu.nl:publications/04fbca2a-c66f-4cee-a1a1-bca932a6ff60","is_oa":true,"landing_page_url":"http://www.scopus.com/inward/citedby.url?scp=85131558134&partnerID=8YFLogxK","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":"Waldmann, U, Tourret, S, Robillard, S & Blanchette, J 2022, 'A Comprehensive Framework for Saturation Theorem Proving', Journal of Automated Reasoning, vol. 66, no. 4, pp. 499-539. https://doi.org/10.1007/s10817-022-09621-7","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10817-022-09621-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10817-022-09621-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10817-022-09621-7.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/G1694576325","display_name":null,"funder_award_id":"713999","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"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"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281677347.pdf","grobid_xml":"https://content.openalex.org/works/W4281677347.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1479669713","https://openalex.org/W1507112684","https://openalex.org/W1510236094","https://openalex.org/W1513576223","https://openalex.org/W1521419290","https://openalex.org/W1552713121","https://openalex.org/W1572633878","https://openalex.org/W1772968073","https://openalex.org/W1966647497","https://openalex.org/W1980214308","https://openalex.org/W2037085273","https://openalex.org/W2061969020","https://openalex.org/W2082976889","https://openalex.org/W2100738443","https://openalex.org/W2577664989","https://openalex.org/W2765809787","https://openalex.org/W2904573932","https://openalex.org/W2914680778","https://openalex.org/W2950175295","https://openalex.org/W3036925096","https://openalex.org/W3038142530","https://openalex.org/W3177951153","https://openalex.org/W3180051810","https://openalex.org/W3194933338","https://openalex.org/W4250846042","https://openalex.org/W4250850800","https://openalex.org/W4281677347","https://openalex.org/W4298140626"],"related_works":["https://openalex.org/W2950202488","https://openalex.org/W2604424424","https://openalex.org/W1581380057","https://openalex.org/W2954326042","https://openalex.org/W1567449721","https://openalex.org/W3098927713","https://openalex.org/W765055999","https://openalex.org/W1970588133","https://openalex.org/W3100311625","https://openalex.org/W1909465604"],"abstract_inverted_index":{"Abstract":[0],"A":[1,62],"crucial":[2],"operation":[3],"of":[4,10,14,37,57,89,139,148],"saturation":[5,94],"theorem":[6],"provers":[7,91],"is":[8,33,59,164],"deletion":[9],"subsumed":[11],"formulas.":[12],"Designers":[13],"proof":[15],"calculi,":[16,95],"however,":[17],"usually":[18],"discuss":[19],"this":[20],"only":[21,44],"informally,":[22],"and":[23,39,100,126],"the":[24,35,54,135,144,152],"rare":[25],"formal":[26,85],"expositions":[27],"tend":[28],"to":[29,117,128],"be":[30],"clumsy.":[31],"This":[32],"because":[34],"equivalence":[36],"dynamic":[38,145],"static":[40,136],"refutational":[41,86,137,146],"completeness":[42,87,138,147],"holds":[43],"for":[45,84,155],"derivations":[46],"where":[47],"all":[48],"deleted":[49],"formulas":[50],"are":[51],"redundant,":[52],"but":[53],"standard":[55],"notion":[56],"redundancy":[58,106,119],"too":[60],"weak:":[61],"clause":[63],"C":[64],"does":[65],"not":[66],"make":[67],"an":[68,157],"instance":[69],"$$C\\sigma":[70],"$$":[71],"<mml:math":[72],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[73],"<mml:mrow>":[74],"<mml:mi>C</mml:mi>":[75],"<mml:mi>\u03c3</mml:mi>":[76],"</mml:mrow>":[77],"</mml:math>":[78],"redundant.":[79],"We":[80],"present":[81],"a":[82,110,140,149],"framework":[83,103,163],"proofs":[88],"abstract":[90],"that":[92,122,134],"implement":[93],"such":[96],"as":[97],"ordered":[98],"resolution":[99],"superposition.":[101],"The":[102],"modularly":[104],"extends":[105],"criteria":[107,120],"derived":[108],"via":[109],"familiar":[111],"ground-to-nonground":[112],"lifting.":[113],"It":[114],"allows":[115],"us":[116],"extend":[118],"so":[121,133],"they":[123],"cover":[124],"subsumption,":[125],"also":[127],"model":[129],"entire":[130],"prover":[131,150],"architectures":[132],"calculus":[141,153],"immediately":[142],"implies":[143],"implementing":[151],"within,":[154],"instance,":[156],"Otter":[158],"or":[159],"DISCOUNT":[160],"loop.":[161],"Our":[162],"mechanized":[165],"in":[166],"Isabelle/HOL.":[167]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}