{"id":"https://openalex.org/W2744775619","doi":"https://doi.org/10.1007/s10703-017-0290-y","title":"Solving quantified linear arithmetic by counterexample-guided instantiation","display_name":"Solving quantified linear arithmetic by counterexample-guided instantiation","publication_year":2017,"publication_date":"2017-08-03","ids":{"openalex":"https://openalex.org/W2744775619","doi":"https://doi.org/10.1007/s10703-017-0290-y","mag":"2744775619"},"language":"en","primary_location":{"id":"doi:10.1007/s10703-017-0290-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10703-017-0290-y","pdf_url":null,"source":{"id":"https://openalex.org/S3845260","display_name":"Formal Methods in System Design","issn_l":"0925-9856","issn":["0925-9856","1572-8102"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Methods in System Design","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/234210","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083954589","display_name":"Andrew Reynolds","orcid":"https://orcid.org/0000-0002-3529-8682"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrew Reynolds","raw_affiliation_strings":["Department of Computer Science, The University of Iowa, Iowa city, IA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The University of Iowa, Iowa city, IA, USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086801190","display_name":"Tim L. King","orcid":null},"institutions":[{"id":"https://openalex.org/I1291425158","display_name":"Google (United States)","ror":"https://ror.org/00njsd438","country_code":"US","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210128969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tim King","raw_affiliation_strings":["Google, Mountain view, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Google, Mountain view, CA, USA","institution_ids":["https://openalex.org/I1291425158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008699657","display_name":"Viktor Kun\u010dak","orcid":"https://orcid.org/0000-0001-7044-9522"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Viktor Kuncak","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083954589"],"corresponding_institution_ids":["https://openalex.org/I126307644"],"apc_list":{"value":2690,"currency":"EUR","value_usd":3490},"apc_paid":null,"fwci":2.2909,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.89622133,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"51","issue":"3","first_page":"500","last_page":"532"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/T10142","display_name":"Formal Methods in Verification","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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.9940000176429749,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.7363332509994507},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.7027185559272766},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.6837158799171448},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6086408495903015},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5855236053466797},{"id":"https://openalex.org/keywords/arbitrary-precision-arithmetic","display_name":"Arbitrary-precision arithmetic","score":0.551008939743042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5331259369850159},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5221410393714905},{"id":"https://openalex.org/keywords/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.5185849666595459},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.5122848749160767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43272554874420166},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3425532877445221},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.29951202869415283},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.21820762753486633},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.1908048391342163}],"concepts":[{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.7363332509994507},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7027185559272766},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.6837158799171448},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6086408495903015},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5855236053466797},{"id":"https://openalex.org/C83581934","wikidata":"https://www.wikidata.org/wiki/Q527381","display_name":"Arbitrary-precision arithmetic","level":2,"score":0.551008939743042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5331259369850159},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5221410393714905},{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.5185849666595459},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.5122848749160767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43272554874420166},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3425532877445221},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.29951202869415283},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.21820762753486633},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.1908048391342163}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10703-017-0290-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10703-017-0290-y","pdf_url":null,"source":{"id":"https://openalex.org/S3845260","display_name":"Formal Methods in System Design","issn_l":"0925-9856","issn":["0925-9856","1572-8102"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Methods in System Design","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:234210","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/234210","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.epfl.ch:255788","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/255788","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:234210","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/234210","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W17381159","https://openalex.org/W121177627","https://openalex.org/W146262440","https://openalex.org/W327661820","https://openalex.org/W564848705","https://openalex.org/W1034915372","https://openalex.org/W1472528886","https://openalex.org/W1503377936","https://openalex.org/W1506481780","https://openalex.org/W1511526676","https://openalex.org/W1513644114","https://openalex.org/W1536511644","https://openalex.org/W1552077729","https://openalex.org/W1565786776","https://openalex.org/W1569747018","https://openalex.org/W1573992413","https://openalex.org/W1602567617","https://openalex.org/W1603182045","https://openalex.org/W1604495270","https://openalex.org/W1638226618","https://openalex.org/W1692871243","https://openalex.org/W1895616280","https://openalex.org/W1899861754","https://openalex.org/W1912569824","https://openalex.org/W1964783683","https://openalex.org/W1969335410","https://openalex.org/W1975885036","https://openalex.org/W1997791746","https://openalex.org/W2013702670","https://openalex.org/W2029843512","https://openalex.org/W2031409637","https://openalex.org/W2051723391","https://openalex.org/W2055477538","https://openalex.org/W2067464091","https://openalex.org/W2082488535","https://openalex.org/W2094878426","https://openalex.org/W2097699872","https://openalex.org/W2105315191","https://openalex.org/W2131395649","https://openalex.org/W2140673956","https://openalex.org/W2140678594","https://openalex.org/W2152922041","https://openalex.org/W2158493209","https://openalex.org/W2167964658","https://openalex.org/W2181289644","https://openalex.org/W2264878068","https://openalex.org/W2399923814","https://openalex.org/W2400855043","https://openalex.org/W2477695542","https://openalex.org/W2487423667","https://openalex.org/W2514073783","https://openalex.org/W2533200153","https://openalex.org/W2578463151","https://openalex.org/W2603456259","https://openalex.org/W2952380519","https://openalex.org/W2963203595","https://openalex.org/W3020819715","https://openalex.org/W3137139687","https://openalex.org/W4241540767","https://openalex.org/W4242289817","https://openalex.org/W4246691913"],"related_works":["https://openalex.org/W1851760673","https://openalex.org/W3135280923","https://openalex.org/W1541391869","https://openalex.org/W2583260161","https://openalex.org/W2400855043","https://openalex.org/W1983967297","https://openalex.org/W2578463151","https://openalex.org/W2962945057","https://openalex.org/W1495032777","https://openalex.org/W2744775619"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}