{"id":"https://openalex.org/W2072984710","doi":"https://doi.org/10.1016/s0747-7171(08)80130-7","title":"Using forcing to prove completeness of resolution and paramodulation","display_name":"Using forcing to prove completeness of resolution and paramodulation","publication_year":1991,"publication_date":"1991-01-01","ids":{"openalex":"https://openalex.org/W2072984710","doi":"https://doi.org/10.1016/s0747-7171(08)80130-7","mag":"2072984710"},"language":"en","primary_location":{"id":"doi:10.1016/s0747-7171(08)80130-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(08)80130-7","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054666546","display_name":"John Pais","orcid":"https://orcid.org/0009-0009-7477-087X"},"institutions":[{"id":"https://openalex.org/I114277686","display_name":"James S. McDonnell Foundation","ror":"https://ror.org/03dy4aq19","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I114277686"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John Pais","raw_affiliation_strings":["McDonnell Douglas Corporation, 225/105/2, Mailcode 106 5165, P.O. Box 516, St. Louis, Missouri 63166, USA","McDonnell Douglas Corporation, 225/105/2, Mailcode 106 5165, P.O. Box 516, St. Louis, Missouri 63166, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"McDonnell Douglas Corporation, 225/105/2, Mailcode 106 5165, P.O. Box 516, St. Louis, Missouri 63166, USA","institution_ids":["https://openalex.org/I114277686"]},{"raw_affiliation_string":"McDonnell Douglas Corporation, 225/105/2, Mailcode 106 5165, P.O. Box 516, St. Louis, Missouri 63166, USA#TAB#","institution_ids":["https://openalex.org/I114277686"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026782538","display_name":"Gerald E. Peterson","orcid":null},"institutions":[{"id":"https://openalex.org/I114277686","display_name":"James S. McDonnell Foundation","ror":"https://ror.org/03dy4aq19","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I114277686"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gerald E. Peterson","raw_affiliation_strings":["McDonnell Douglas Corporation, 225/105/2, Mailcode 106 5165, P.O. Box 516, St. Louis, Missouri 63166, USA","McDonnell Douglas Corporation, 225/105/2, Mailcode 106 5165, P.O. Box 516, St. Louis, Missouri 63166, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"McDonnell Douglas Corporation, 225/105/2, Mailcode 106 5165, P.O. Box 516, St. Louis, Missouri 63166, USA","institution_ids":["https://openalex.org/I114277686"]},{"raw_affiliation_string":"McDonnell Douglas Corporation, 225/105/2, Mailcode 106 5165, P.O. Box 516, St. Louis, Missouri 63166, USA#TAB#","institution_ids":["https://openalex.org/I114277686"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054666546"],"corresponding_institution_ids":["https://openalex.org/I114277686"],"apc_list":{"value":2770,"currency":"USD","value_usd":2770},"apc_paid":null,"fwci":3.7684,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.93363689,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"1-2","first_page":"3","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994000196456909,"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":0.9994000196456909,"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":0.998199999332428,"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":0.9948999881744385,"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/transfinite-number","display_name":"Transfinite number","score":0.8886369466781616},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.8372741937637329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7961058616638184},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.6589927077293396},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.629668116569519},{"id":"https://openalex.org/keywords/g\u00f6dels-completeness-theorem","display_name":"G\u00f6del's completeness theorem","score":0.6077966094017029},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5015323162078857},{"id":"https://openalex.org/keywords/rule-of-inference","display_name":"Rule of inference","score":0.4931415915489197},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.45991387963294983},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42340099811553955},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.4118840992450714},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3819032609462738},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36853086948394775},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3601560592651367},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28787338733673096},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1967562735080719},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.13641738891601562},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13424775004386902}],"concepts":[{"id":"https://openalex.org/C147358099","wikidata":"https://www.wikidata.org/wiki/Q1069891","display_name":"Transfinite number","level":2,"score":0.8886369466781616},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.8372741937637329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7961058616638184},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.6589927077293396},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.629668116569519},{"id":"https://openalex.org/C200116569","wikidata":"https://www.wikidata.org/wiki/Q902052","display_name":"G\u00f6del's completeness theorem","level":2,"score":0.6077966094017029},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5015323162078857},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.4931415915489197},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.45991387963294983},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42340099811553955},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.4118840992450714},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3819032609462738},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36853086948394775},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3601560592651367},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28787338733673096},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1967562735080719},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13641738891601562},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13424775004386902},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0747-7171(08)80130-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(08)80130-7","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W135711220","https://openalex.org/W139228285","https://openalex.org/W588060734","https://openalex.org/W632143945","https://openalex.org/W1480405493","https://openalex.org/W1506329803","https://openalex.org/W1513458930","https://openalex.org/W1514729613","https://openalex.org/W1516274846","https://openalex.org/W1530765221","https://openalex.org/W1565641461","https://openalex.org/W1598625331","https://openalex.org/W1602067282","https://openalex.org/W1730099161","https://openalex.org/W1966048066","https://openalex.org/W1968386045","https://openalex.org/W1978413491","https://openalex.org/W1984820433","https://openalex.org/W2008907564","https://openalex.org/W2014030742","https://openalex.org/W2043314428","https://openalex.org/W2051518991","https://openalex.org/W2067259733","https://openalex.org/W2077429176","https://openalex.org/W2086747974","https://openalex.org/W2100738443","https://openalex.org/W2121757274","https://openalex.org/W2505409600","https://openalex.org/W2969873114","https://openalex.org/W4248547811","https://openalex.org/W6630783617","https://openalex.org/W6633886873","https://openalex.org/W6635611516","https://openalex.org/W6637629610","https://openalex.org/W6667360198"],"related_works":["https://openalex.org/W1555959943","https://openalex.org/W2020794409","https://openalex.org/W1553145570","https://openalex.org/W1516274846","https://openalex.org/W311415758","https://openalex.org/W2135536063","https://openalex.org/W2072984710","https://openalex.org/W2787858359","https://openalex.org/W134495935","https://openalex.org/W2077429176"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}