{"id":"https://openalex.org/W2638593226","doi":"https://doi.org/10.1007/978-3-319-63390-9_22","title":"A Three-Tier Strategy for Reasoning About Floating-Point Numbers in SMT","display_name":"A Three-Tier Strategy for Reasoning About Floating-Point Numbers in SMT","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2638593226","doi":"https://doi.org/10.1007/978-3-319-63390-9_22","mag":"2638593226"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-63390-9_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-63390-9_22","pdf_url":null,"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":null,"license_id":null,"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":"green","oa_url":"https://inria.hal.science/hal-01522770","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005087679","display_name":"Sylvain Conchon","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sylvain Conchon","raw_affiliation_strings":["Inria, Universit\u00e9 Paris-Saclay, 91120, Palaiseau, France","LRI (CNRS & Univ Paris-Sud), Universit\u00e9 Paris-Saclay, 91405, Orsay, France"],"affiliations":[{"raw_affiliation_string":"Inria, Universit\u00e9 Paris-Saclay, 91120, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I277688954"]},{"raw_affiliation_string":"LRI (CNRS & Univ Paris-Sud), Universit\u00e9 Paris-Saclay, 91405, Orsay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210144804","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014401266","display_name":"Mohamed Iguernlala","orcid":null},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Iguernlala","raw_affiliation_strings":["LRI (CNRS & Univ Paris-Sud), Universit\u00e9 Paris-Saclay, 91405, Orsay, France","OCamlPro SAS, 91190, Gif-sur-Yvette, France"],"affiliations":[{"raw_affiliation_string":"LRI (CNRS & Univ Paris-Sud), Universit\u00e9 Paris-Saclay, 91405, Orsay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210144804","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"OCamlPro SAS, 91190, Gif-sur-Yvette, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064548199","display_name":"Kailiang Ji","orcid":null},"institutions":[{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Kailiang Ji","raw_affiliation_strings":["LRI (CNRS & Univ Paris-Sud), Universit\u00e9 Paris-Saclay, 91405, Orsay, France"],"affiliations":[{"raw_affiliation_string":"LRI (CNRS & Univ Paris-Sud), Universit\u00e9 Paris-Saclay, 91405, Orsay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210144804","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073473823","display_name":"Guillaume Melquiond","orcid":"https://orcid.org/0000-0002-6697-1809"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Guillaume Melquiond","raw_affiliation_strings":["Inria, Universit\u00e9 Paris-Saclay, 91120, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"Inria, Universit\u00e9 Paris-Saclay, 91120, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I277688954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006287887","display_name":"Cl\u00e8ment Fumex","orcid":null},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cl\u00e9ment Fumex","raw_affiliation_strings":["Inria, Universit\u00e9 Paris-Saclay, 91120, Palaiseau, France","LRI (CNRS & Univ Paris-Sud), Universit\u00e9 Paris-Saclay, 91405, Orsay, France"],"affiliations":[{"raw_affiliation_string":"Inria, Universit\u00e9 Paris-Saclay, 91120, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I277688954"]},{"raw_affiliation_string":"LRI (CNRS & Univ Paris-Sud), Universit\u00e9 Paris-Saclay, 91405, Orsay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210144804","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5005087679"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210126360","https://openalex.org/I4210144804"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.67,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.89352818,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"419","last_page":"435"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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/T10142","display_name":"Formal Methods in Verification","score":0.9966999888420105,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.7406033277511597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7368801832199097},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.7298243045806885},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.5713571906089783},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5473792552947998},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.44944149255752563},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4396752119064331},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4389888346195221},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4244828224182129},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37036794424057007},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34288111329078674},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.33592504262924194},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18926486372947693}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.7406033277511597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7368801832199097},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.7298243045806885},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.5713571906089783},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5473792552947998},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.44944149255752563},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4396752119064331},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4389888346195221},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4244828224182129},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37036794424057007},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34288111329078674},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.33592504262924194},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18926486372947693},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-63390-9_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-63390-9_22","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01522770v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01522770","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cavconference.org/2017/","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01522770v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01522770","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cavconference.org/2017/","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1509551972","https://openalex.org/W1531068736","https://openalex.org/W1595501494","https://openalex.org/W1778289469","https://openalex.org/W1820726602","https://openalex.org/W1977336460","https://openalex.org/W1986944060","https://openalex.org/W2127145687","https://openalex.org/W2130920933","https://openalex.org/W2156828397","https://openalex.org/W2159595840","https://openalex.org/W2207050309","https://openalex.org/W2732933758","https://openalex.org/W2741979953","https://openalex.org/W4231975059","https://openalex.org/W6698777470"],"related_works":["https://openalex.org/W2535419677","https://openalex.org/W2134876043","https://openalex.org/W2476214559","https://openalex.org/W4318620547","https://openalex.org/W187939582","https://openalex.org/W3039927303","https://openalex.org/W4388911419","https://openalex.org/W2118569990","https://openalex.org/W4322008031","https://openalex.org/W2544512391"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}