{"id":"https://openalex.org/W2119144375","doi":"https://doi.org/10.1007/978-3-540-79719-7_8","title":"SAT Modulo the Theory of Linear Arithmetic: Exact, Inexact and Commercial Solvers","display_name":"SAT Modulo the Theory of Linear Arithmetic: Exact, Inexact and Commercial Solvers","publication_year":2008,"publication_date":"2008-05-06","ids":{"openalex":"https://openalex.org/W2119144375","doi":"https://doi.org/10.1007/978-3-540-79719-7_8","mag":"2119144375"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-79719-7_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-79719-7_8","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103349736","display_name":"Germain Faure","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Germain Faure","raw_affiliation_strings":["No Affiliations, \u00a0","No Affiliations"],"affiliations":[{"raw_affiliation_string":"No Affiliations, \u00a0","institution_ids":[]},{"raw_affiliation_string":"No Affiliations","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033002201","display_name":"Robert Nieuwenhuis","orcid":"https://orcid.org/0000-0002-6489-2138"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert Nieuwenhuis","raw_affiliation_strings":["No Affiliations, \u00a0","No Affiliations"],"affiliations":[{"raw_affiliation_string":"No Affiliations, \u00a0","institution_ids":[]},{"raw_affiliation_string":"No Affiliations","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087949614","display_name":"Albert Oliveras","orcid":"https://orcid.org/0000-0002-5893-1911"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Albert Oliveras","raw_affiliation_strings":["No Affiliations, \u00a0","No Affiliations"],"affiliations":[{"raw_affiliation_string":"No Affiliations, \u00a0","institution_ids":[]},{"raw_affiliation_string":"No Affiliations","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091244452","display_name":"Enric Rodr\u00edguez-Carbonell","orcid":"https://orcid.org/0000-0003-1061-3954"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Enric Rodr\u00edguez-Carbonell","raw_affiliation_strings":["No Affiliations, \u00a0","Tech. Univ. of Catalonia, Barcelona#TAB#"],"affiliations":[{"raw_affiliation_string":"No Affiliations, \u00a0","institution_ids":[]},{"raw_affiliation_string":"Tech. Univ. of Catalonia, Barcelona#TAB#","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103349736"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3169,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.87524033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"77","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9988999962806702,"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/T10142","display_name":"Formal Methods in Verification","score":0.9988999962806702,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9970999956130981,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9746000170707703,"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/modulo","display_name":"Modulo","score":0.7898218035697937},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.6951956152915955},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6795307993888855},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6381760239601135},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5705603361129761},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43810638785362244},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.42536231875419617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41946426033973694},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3468337655067444},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3275546729564667},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23023688793182373},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1385473608970642}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.7898218035697937},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.6951956152915955},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6795307993888855},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6381760239601135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5705603361129761},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43810638785362244},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.42536231875419617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41946426033973694},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3468337655067444},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3275546729564667},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23023688793182373},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1385473608970642},{"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:10.1007/978-3-540-79719-7_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-79719-7_8","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W92576581","https://openalex.org/W1480909796","https://openalex.org/W1500991862","https://openalex.org/W1539597483","https://openalex.org/W1561147151","https://openalex.org/W1606555018","https://openalex.org/W1800123991","https://openalex.org/W1963547452","https://openalex.org/W2022846948","https://openalex.org/W2042342288","https://openalex.org/W2114241070","https://openalex.org/W2125967324","https://openalex.org/W2486285674","https://openalex.org/W4253178675","https://openalex.org/W4285719527","https://openalex.org/W4301808069"],"related_works":["https://openalex.org/W4318620547","https://openalex.org/W4255129386","https://openalex.org/W2810367355","https://openalex.org/W4245068234","https://openalex.org/W2025161972","https://openalex.org/W2131919998","https://openalex.org/W1978352992","https://openalex.org/W1988006935","https://openalex.org/W1585685783","https://openalex.org/W2119414612"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
