{"id":"https://openalex.org/W4386723279","doi":"https://doi.org/10.1007/978-3-031-43513-3_2","title":"Non-Classical Logics in\u00a0Satisfiability Modulo Theories","display_name":"Non-Classical Logics in\u00a0Satisfiability Modulo Theories","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4386723279","doi":"https://doi.org/10.1007/978-3-031-43513-3_2"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-43513-3_2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-43513-3_2","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-43513-3_2.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/10.1007/978-3-031-43513-3_2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057215887","display_name":"Clemens Eisenhofer","orcid":"https://orcid.org/0000-0003-0339-1580"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Clemens Eisenhofer","raw_affiliation_strings":["TU Wien, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0003-0339-1580","affiliations":[{"raw_affiliation_string":"TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027945502","display_name":"Ruba Alassaf","orcid":"https://orcid.org/0000-0002-0331-2451"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ruba Alassaf","raw_affiliation_strings":["University of Manchester, Manchester, UK"],"raw_orcid":"https://orcid.org/0000-0002-0331-2451","affiliations":[{"raw_affiliation_string":"University of Manchester, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080196917","display_name":"Michael Rawson","orcid":"https://orcid.org/0000-0001-7834-1567"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Michael Rawson","raw_affiliation_strings":["TU Wien, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0001-7834-1567","affiliations":[{"raw_affiliation_string":"TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071158512","display_name":"Laura Kov\u00e1cs","orcid":"https://orcid.org/0000-0002-8299-2714"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Laura Kov\u00e1cs","raw_affiliation_strings":["TU Wien, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-8299-2714","affiliations":[{"raw_affiliation_string":"TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057215887"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.3259773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"24","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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":0.9994000196456909,"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/satisfiability","display_name":"Satisfiability","score":0.8245930671691895},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.7595102787017822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7358866930007935},{"id":"https://openalex.org/keywords/propagator","display_name":"Propagator","score":0.7170525193214417},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5740787982940674},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.5472584962844849},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5118178725242615},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.4563210606575012},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38265180587768555},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3576968014240265},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3538273572921753},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3372964859008789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21333906054496765},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10572785139083862}],"concepts":[{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.8245930671691895},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.7595102787017822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7358866930007935},{"id":"https://openalex.org/C104416048","wikidata":"https://www.wikidata.org/wiki/Q302518","display_name":"Propagator","level":2,"score":0.7170525193214417},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5740787982940674},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.5472584962844849},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5118178725242615},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.4563210606575012},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38265180587768555},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3576968014240265},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3538273572921753},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3372964859008789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21333906054496765},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10572785139083862},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-43513-3_2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-43513-3_2","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-43513-3_2.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:10.1007/978-3-031-43513-3_2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-43513-3_2","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-43513-3_2.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":[{"id":"https://openalex.org/G1673229485","display_name":null,"funder_award_id":"F8504","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320322839","display_name":"Technische Universit\u00e4t Wien","ror":"https://ror.org/04d836q62"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4386723279.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W3296631","https://openalex.org/W160292340","https://openalex.org/W302791680","https://openalex.org/W1128447031","https://openalex.org/W1480909796","https://openalex.org/W1536511644","https://openalex.org/W1537460435","https://openalex.org/W1573440853","https://openalex.org/W1575648042","https://openalex.org/W1596272894","https://openalex.org/W1645894569","https://openalex.org/W1759871617","https://openalex.org/W1844848791","https://openalex.org/W1978260344","https://openalex.org/W1982030536","https://openalex.org/W2110715144","https://openalex.org/W2124890997","https://openalex.org/W2180010617","https://openalex.org/W2295924173","https://openalex.org/W2330747214","https://openalex.org/W2604674395","https://openalex.org/W2607520928","https://openalex.org/W2888373273","https://openalex.org/W2963483933","https://openalex.org/W2969539880","https://openalex.org/W3126185111","https://openalex.org/W3127358641","https://openalex.org/W3197054820","https://openalex.org/W4225922019","https://openalex.org/W4233253115","https://openalex.org/W4244275182","https://openalex.org/W4289104020","https://openalex.org/W4316662633"],"related_works":["https://openalex.org/W3176904788","https://openalex.org/W2578463151","https://openalex.org/W21597398","https://openalex.org/W4379142300","https://openalex.org/W2091617677","https://openalex.org/W1945774704","https://openalex.org/W1505872263","https://openalex.org/W4298153058","https://openalex.org/W2408080066","https://openalex.org/W1913543287"],"abstract_inverted_index":{"Abstract":[0],"We":[1,58],"show":[2,40],"that":[3,41],"tableau":[4,69],"methods":[5],"for":[6,61,64],"satisfiability":[7],"in":[8,15,34],"non-classical":[9,65],"logics":[10,66],"can":[11],"be":[12],"supported":[13],"naturally":[14],"SMT":[16,37],"solving":[17],"via":[18],"the":[19,29,35],"framework":[20],"of":[21,25],"user-propagators.":[22],"By":[23],"way":[24],"demonstration,":[26],"we":[27],"implement":[28],"description":[30],"logic":[31,53],"$$\\mathcal":[32],"{ALC}$$":[33],"Z3":[36],"solver":[38],"and":[39],"working":[42],"with":[43,54],"user-propagators":[44,60],"allows":[45],"us":[46],"to":[47,51],"significantly":[48],"outperform":[49],"encodings":[50],"first-order":[52],"relatively":[55],"little":[56],"effort.":[57],"promote":[59],"creating":[62],"solvers":[63],"based":[67],"on":[68],"calculi.":[70]},"counts_by_year":[],"updated_date":"2026-06-13T07:54:00.901334","created_date":"2025-10-10T00:00:00"}