{"id":"https://openalex.org/W4312108796","doi":"https://doi.org/10.1145/3573105.3575672","title":"A First Complete Algorithm for Real Quantifier Elimination in Isabelle/HOL","display_name":"A First Complete Algorithm for Real Quantifier Elimination in Isabelle/HOL","publication_year":2023,"publication_date":"2023-01-11","ids":{"openalex":"https://openalex.org/W4312108796","doi":"https://doi.org/10.1145/3573105.3575672"},"language":"en","primary_location":{"id":"doi:10.1145/3573105.3575672","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3573105.3575672","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3573105.3575672","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3573105.3575672","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028491631","display_name":"Katherine Kosaian","orcid":"https://orcid.org/0000-0002-9336-6006"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Katherine Kosaian","raw_affiliation_strings":["Carnegie Mellon University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037984091","display_name":"Yong Tan","orcid":"https://orcid.org/0000-0001-8087-3423"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yong Kiam Tan","raw_affiliation_strings":["Carnegie Mellon University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080481427","display_name":"Andr\u00e9 Platzer","orcid":"https://orcid.org/0000-0001-7238-5710"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Platzer","raw_affiliation_strings":["KIT, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KIT, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3263,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6189297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"211","last_page":"224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9980000257492065,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9932000041007996,"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/hol","display_name":"HOL","score":0.9706854224205017},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.8212321996688843},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.7991928458213806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6613761186599731},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5446192622184753},{"id":"https://openalex.org/keywords/quantifier","display_name":"Quantifier (linguistics)","score":0.5272620916366577},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.4762580394744873},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3746374249458313},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3616001009941101},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3347756862640381},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1158355176448822},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.06397867202758789}],"concepts":[{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.9706854224205017},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.8212321996688843},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.7991928458213806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6613761186599731},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5446192622184753},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.5272620916366577},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.4762580394744873},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3746374249458313},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3616001009941101},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3347756862640381},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1158355176448822},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.06397867202758789},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3573105.3575672","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3573105.3575672","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3573105.3575672","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3573105.3575672","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3573105.3575672","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3573105.3575672","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G230078430","display_name":null,"funder_award_id":"FA9550-16","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3215946901","display_name":null,"funder_award_id":"DGE1745016","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3392305090","display_name":null,"funder_award_id":"-16-1-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3616359867","display_name":null,"funder_award_id":"FA9550-16-1","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5110814867","display_name":null,"funder_award_id":"DGE1252522","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G687356799","display_name":null,"funder_award_id":"CNS-1739629,DGE1252522,DGE1745016","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7098913029","display_name":null,"funder_award_id":"FA9550-16-1-0288","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8313901925","display_name":"CPS: Small: Sound Invariant Generation for Continuous and Hybrid Systems","funder_award_id":"1739629","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312108796.pdf"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W102301403","https://openalex.org/W200942238","https://openalex.org/W1534704094","https://openalex.org/W1565786776","https://openalex.org/W1583435594","https://openalex.org/W1966712204","https://openalex.org/W1971038681","https://openalex.org/W1978149312","https://openalex.org/W2001255903","https://openalex.org/W2006918089","https://openalex.org/W2007074311","https://openalex.org/W2007438578","https://openalex.org/W2012189264","https://openalex.org/W2016056788","https://openalex.org/W2019882358","https://openalex.org/W2021431116","https://openalex.org/W2022441937","https://openalex.org/W2026612342","https://openalex.org/W2048810447","https://openalex.org/W2051595244","https://openalex.org/W2104715607","https://openalex.org/W2145377870","https://openalex.org/W2295544473","https://openalex.org/W2745160404","https://openalex.org/W2797934247","https://openalex.org/W2807041225","https://openalex.org/W2885880873","https://openalex.org/W3128245731","https://openalex.org/W3215278789","https://openalex.org/W4229917934","https://openalex.org/W4236259917","https://openalex.org/W4255213956","https://openalex.org/W4298290503","https://openalex.org/W7139033639"],"related_works":["https://openalex.org/W4214737172","https://openalex.org/W1497011154","https://openalex.org/W1504680642","https://openalex.org/W4206694237","https://openalex.org/W2724703556","https://openalex.org/W2519051298","https://openalex.org/W2166178773","https://openalex.org/W1513403094","https://openalex.org/W1909465604","https://openalex.org/W4312108796"],"abstract_inverted_index":{"We":[0],"formalize":[1,43],"a":[2,35,45],"multivariate":[3,66],"quantifier":[4],"elimination":[5],"(QE)":[6],"algorithm":[7,14,41,52,68],"in":[8,17,27,70],"the":[9,28,54,63],"theorem":[10],"prover":[11],"Isabelle/HOL.":[12,71],"Our":[13],"is":[15,20,44,62],"complete,":[16],"that":[18],"it":[19,61],"able":[21],"to":[22,34],"reduce":[23],"any":[24],"quantified":[25],"formula":[26],"first-order":[29],"logic":[30],"of":[31,48],"real":[32],"arithmetic":[33],"logically":[36],"equivalent":[37],"quantifier-free":[38],"formula.":[39],"The":[40],"we":[42],"hybrid":[46],"mixture":[47],"Tarski\u2019s":[49],"original":[50],"QE":[51,67],"and":[53,57,60],"Ben-Or,":[55],"Kozen,":[56],"Reif":[58],"algorithm,":[59],"first":[64],"complete":[65],"formalized":[69]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2023-01-04T00:00:00"}
