{"id":"https://openalex.org/W1562908040","doi":"https://doi.org/10.1007/978-3-540-74970-7_24","title":"MUST: Provide a Finer-Grained Explanation of Unsatisfiability","display_name":"MUST: Provide a Finer-Grained Explanation of Unsatisfiability","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1562908040","doi":"https://doi.org/10.1007/978-3-540-74970-7_24","mag":"1562908040"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-74970-7_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74970-7_24","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/A5079763185","display_name":"\u00c9ric Gr\u00e9goire","orcid":"https://orcid.org/0000-0001-6707-3106"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9ric Gr\u00e9goire","raw_affiliation_strings":["CRIL-CNRS & IRCICA, Universit\u00e9 d\u2019Artois, rue Jean Souvraz SP18, F-62307 Lens Cedex, France","CRIL, CNRS & IRCICA, Universit\u00e9 d'Artois, Lens Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRIL-CNRS & IRCICA, Universit\u00e9 d\u2019Artois, rue Jean Souvraz SP18, F-62307 Lens Cedex, France","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CRIL, CNRS & IRCICA, Universit\u00e9 d'Artois, Lens Cedex, France#TAB#","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027226463","display_name":"Bertrand Mazure","orcid":"https://orcid.org/0000-0002-3508-123X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bertrand Mazure","raw_affiliation_strings":["CRIL-CNRS & IRCICA, Universit\u00e9 d\u2019Artois, rue Jean Souvraz SP18, F-62307 Lens Cedex, France","CRIL, CNRS & IRCICA, Universit\u00e9 d'Artois, Lens Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRIL-CNRS & IRCICA, Universit\u00e9 d\u2019Artois, rue Jean Souvraz SP18, F-62307 Lens Cedex, France","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CRIL, CNRS & IRCICA, Universit\u00e9 d'Artois, Lens Cedex, France#TAB#","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078554632","display_name":"C\u00e9dric Piette","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":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C\u00e9dric Piette","raw_affiliation_strings":["CRIL-CNRS & IRCICA, Universit\u00e9 d\u2019Artois, rue Jean Souvraz SP18, F-62307 Lens Cedex, France","CRIL, CNRS & IRCICA, Universit\u00e9 d'Artois, Lens Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRIL-CNRS & IRCICA, Universit\u00e9 d\u2019Artois, rue Jean Souvraz SP18, F-62307 Lens Cedex, France","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CRIL, CNRS & IRCICA, Universit\u00e9 d'Artois, Lens Cedex, France#TAB#","institution_ids":["https://openalex.org/I44563897","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3713,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.83042964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"317","last_page":"331"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9954000115394592,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9954000115394592,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9898999929428101,"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/tuple","display_name":"Tuple","score":0.9063831567764282},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.8044193983078003},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7465767860412598},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.6128832101821899},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.517284631729126},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4963539242744446},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46881532669067383},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45640647411346436},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34971684217453003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22043323516845703},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.17734944820404053}],"concepts":[{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.9063831567764282},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.8044193983078003},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7465767860412598},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.6128832101821899},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.517284631729126},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4963539242744446},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46881532669067383},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45640647411346436},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34971684217453003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22043323516845703},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17734944820404053},{"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:10.1007/978-3-540-74970-7_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74970-7_24","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":29,"referenced_works":["https://openalex.org/W16149696","https://openalex.org/W42214504","https://openalex.org/W96966615","https://openalex.org/W157753919","https://openalex.org/W160447551","https://openalex.org/W1510222959","https://openalex.org/W1510595267","https://openalex.org/W1593288312","https://openalex.org/W1595276356","https://openalex.org/W1763513967","https://openalex.org/W1802782715","https://openalex.org/W1819966380","https://openalex.org/W1976377518","https://openalex.org/W1982345710","https://openalex.org/W2027164550","https://openalex.org/W2043829066","https://openalex.org/W2073776354","https://openalex.org/W2080848992","https://openalex.org/W2085637568","https://openalex.org/W2118406528","https://openalex.org/W2139906094","https://openalex.org/W2475688577","https://openalex.org/W2497660909","https://openalex.org/W2561675875","https://openalex.org/W2608239929","https://openalex.org/W2913258176","https://openalex.org/W2913931946","https://openalex.org/W2953735483","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1562908040","https://openalex.org/W3176904788","https://openalex.org/W21597398","https://openalex.org/W4298153058","https://openalex.org/W2408080066","https://openalex.org/W2268872489","https://openalex.org/W1913543287","https://openalex.org/W2014111643","https://openalex.org/W2963044240","https://openalex.org/W2076399409"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}