{"id":"https://openalex.org/W4402496111","doi":"https://doi.org/10.1007/978-3-031-71177-0_31","title":"Satisfiability Modulo Theories: A Beginner\u2019s Tutorial","display_name":"Satisfiability Modulo Theories: A Beginner\u2019s Tutorial","publication_year":2024,"publication_date":"2024-09-12","ids":{"openalex":"https://openalex.org/W4402496111","doi":"https://doi.org/10.1007/978-3-031-71177-0_31"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-71177-0_31","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-71177-0_31","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-71177-0_31.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-71177-0_31.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026961968","display_name":"Clark Barrett","orcid":"https://orcid.org/0000-0002-9522-3084"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Clark Barrett","raw_affiliation_strings":["Stanford University, Stanford, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046830049","display_name":"Cesare Tinelli","orcid":"https://orcid.org/0000-0002-6726-775X"},"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":false,"raw_author_name":"Cesare Tinelli","raw_affiliation_strings":["The University of Iowa, Iowa City, USA"],"affiliations":[{"raw_affiliation_string":"The University of Iowa, Iowa City, USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000310752","display_name":"Haniel Barbosa","orcid":"https://orcid.org/0000-0003-0188-2300"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Haniel Barbosa","raw_affiliation_strings":["Universidade Federal de Minas Gerais, Belo Horizonte, Brazil"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de Minas Gerais, Belo Horizonte, Brazil","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001172270","display_name":"Aina Niemetz","orcid":"https://orcid.org/0000-0003-2600-5283"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aina Niemetz","raw_affiliation_strings":["Stanford University, Stanford, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002729618","display_name":"Mathias Preiner","orcid":"https://orcid.org/0000-0002-7142-6258"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mathias Preiner","raw_affiliation_strings":["Stanford University, Stanford, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","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":false,"raw_author_name":"Andrew Reynolds","raw_affiliation_strings":["The University of Iowa, Iowa City, USA"],"affiliations":[{"raw_affiliation_string":"The University of Iowa, Iowa City, USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052302712","display_name":"Yoni Zohar","orcid":"https://orcid.org/0000-0002-2972-6695"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yoni Zohar","raw_affiliation_strings":["Bar-Ilan University, Ramat Gan, Israel"],"affiliations":[{"raw_affiliation_string":"Bar-Ilan University, Ramat Gan, Israel","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5026961968"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":1.6258,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.8443798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"571","last_page":"596"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8239837884902954},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.8055564165115356},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.637565553188324},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4695093333721161},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46808892488479614},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.43986883759498596},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3529563248157501},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3383815288543701},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33592844009399414},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2608516216278076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11864170432090759}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8239837884902954},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.8055564165115356},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.637565553188324},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4695093333721161},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46808892488479614},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.43986883759498596},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3529563248157501},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3383815288543701},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33592844009399414},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2608516216278076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11864170432090759},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-71177-0_31","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-71177-0_31","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-71177-0_31.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-71177-0_31","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-71177-0_31","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-71177-0_31.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402496111.pdf"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W221832247","https://openalex.org/W1128447031","https://openalex.org/W1480909796","https://openalex.org/W1481397690","https://openalex.org/W1488662850","https://openalex.org/W1500991862","https://openalex.org/W1522613702","https://openalex.org/W1536511644","https://openalex.org/W1552077729","https://openalex.org/W1875182499","https://openalex.org/W1960494084","https://openalex.org/W2098095758","https://openalex.org/W2105505307","https://openalex.org/W2125967324","https://openalex.org/W2129487583","https://openalex.org/W2133750287","https://openalex.org/W2137351629","https://openalex.org/W2156828397","https://openalex.org/W2277676404","https://openalex.org/W2323777246","https://openalex.org/W2488157396","https://openalex.org/W2744775619","https://openalex.org/W2795154181","https://openalex.org/W2903666872","https://openalex.org/W2963310240","https://openalex.org/W3010680447","https://openalex.org/W3127358641","https://openalex.org/W3138477645","https://openalex.org/W4225922019","https://openalex.org/W4233996382","https://openalex.org/W4241540767","https://openalex.org/W4289104052","https://openalex.org/W4386947681","https://openalex.org/W6610395994","https://openalex.org/W6698777470"],"related_works":["https://openalex.org/W2578463151","https://openalex.org/W2810367355","https://openalex.org/W2275420537","https://openalex.org/W1483783534","https://openalex.org/W4379142300","https://openalex.org/W4302330337","https://openalex.org/W4386723279","https://openalex.org/W2048447692","https://openalex.org/W583460537","https://openalex.org/W2131919998"],"abstract_inverted_index":{"Abstract":[0],"Great":[1],"minds":[2],"have":[3],"long":[4],"dreamed":[5],"of":[6,26,47,55,65],"creating":[7],"machines":[8],"that":[9],"can":[10,87],"function":[11],"as":[12,22,80],"general-purpose":[13],"problem":[14],"solvers.":[15],"Satisfiability":[16],"modulo":[17],"theories":[18,58],"(SMT)":[19],"has":[20],"emerged":[21],"one":[23],"pragmatic":[24],"realization":[25],"this":[27],"dream,":[28],"providing":[29],"significant":[30],"expressive":[31],"power":[32],"and":[33,49,63,70,76],"automation.":[34],"This":[35],"tutorial":[36],"is":[37],"a":[38,53],"beginner\u2019s":[39],"guide":[40],"to":[41,67],"SMT.":[42],"It":[43],"includes":[44],"an":[45],"overview":[46],"SMT":[48,61,104],"its":[50],"formal":[51],"foundations,":[52],"catalog":[54],"the":[56,73,84,94,99,102],"main":[57],"used":[59],"in":[60],"solvers,":[62],"illustrations":[64],"how":[66],"obtain":[68],"models":[69],"proofs.":[71],"Throughout":[72],"tutorial,":[74],"examples":[75],"exercises":[77],"are":[78],"provided":[79],"hands-on":[81],"activities":[82],"for":[83],"reader.":[85],"They":[86],"be":[88],"run":[89],"using":[90,97],"either":[91,98],"Python":[92],"or":[93,101],"SMT-LIB":[95],"language,":[96],"cvc5":[100],"Z3":[103],"solver.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}