{"id":"https://openalex.org/W1586147820","doi":"https://doi.org/10.1007/978-3-540-87803-2_18","title":"Counting Complexity of Minimal Cardinality and Minimal Weight Abduction","display_name":"Counting Complexity of Minimal Cardinality and Minimal Weight Abduction","publication_year":2008,"publication_date":"2008-09-23","ids":{"openalex":"https://openalex.org/W1586147820","doi":"https://doi.org/10.1007/978-3-540-87803-2_18","mag":"1586147820"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-87803-2_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87803-2_18","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":"conference-paper","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/A5074896214","display_name":"Miki Hermann","orcid":"https://orcid.org/0000-0003-2517-2127"},"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/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Miki Hermann","raw_affiliation_strings":["LIX (CNRS, UMR 7161), \u00c9cole Polytechnique, 91128, Palaiseau, France","LIX (CNRS, UMR 7161), \u00c9cole Polytechnique, Palaiseau, France 91128#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIX (CNRS, UMR 7161), \u00c9cole Polytechnique, 91128, Palaiseau, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210139461"]},{"raw_affiliation_string":"LIX (CNRS, UMR 7161), \u00c9cole Polytechnique, Palaiseau, France 91128#TAB#","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091683403","display_name":"Reinhard Pichler","orcid":"https://orcid.org/0000-0002-1760-122X"},"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":"Reinhard Pichler","raw_affiliation_strings":["Institut f\u00fcr Informationssysteme, Technische Universit\u00e4t Wien, A-1040, Wien, Austria","Institut f\u00fcr Informationssysteme, Technische Universit\u00e4t Wien, Wien, Austria A-1040#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informationssysteme, Technische Universit\u00e4t Wien, A-1040, Wien, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Institut f\u00fcr Informationssysteme, Technische Universit\u00e4t Wien, Wien, Austria A-1040#TAB#","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"206","last_page":"218"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11727","display_name":"Advanced Algebra and Logic","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"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9980000257492065,"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/cardinality","display_name":"Cardinality (data modeling)","score":0.7890429496765137},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.7064881324768066},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.648198664188385},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.6275175213813782},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.5610471367835999},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.439649373292923},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4345536231994629},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3723146617412567},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35803845524787903},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3571130931377411},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3268318176269531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31827178597450256},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14874210953712463},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07803118228912354},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.05238986015319824}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.7890429496765137},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.7064881324768066},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.648198664188385},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.6275175213813782},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.5610471367835999},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.439649373292923},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4345536231994629},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3723146617412567},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35803845524787903},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3571130931377411},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3268318176269531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31827178597450256},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14874210953712463},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07803118228912354},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.05238986015319824},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-540-87803-2_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87803-2_18","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.333.4142","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.333.4142","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lix.polytechnique.fr/~hermann/publications/jelia08lncs-final.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.559.2294","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.559.2294","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dbai.tuwien.ac.at/research/project/tractability/HermannP08.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W89211023","https://openalex.org/W1489273657","https://openalex.org/W1506292197","https://openalex.org/W1540899940","https://openalex.org/W1548234627","https://openalex.org/W1556751392","https://openalex.org/W1589487547","https://openalex.org/W1902941631","https://openalex.org/W1964376592","https://openalex.org/W1980428853","https://openalex.org/W1991034379","https://openalex.org/W2006912660","https://openalex.org/W2011039300","https://openalex.org/W2049316103","https://openalex.org/W2067510576","https://openalex.org/W2072181151","https://openalex.org/W2090761873","https://openalex.org/W2100657934","https://openalex.org/W2115826669","https://openalex.org/W2124299249","https://openalex.org/W2132638915","https://openalex.org/W2189067766","https://openalex.org/W2247609287","https://openalex.org/W2262856765","https://openalex.org/W4230626603"],"related_works":["https://openalex.org/W949976107","https://openalex.org/W1987118140","https://openalex.org/W2788816388","https://openalex.org/W2990043628","https://openalex.org/W2951901777","https://openalex.org/W1975118984","https://openalex.org/W229834379","https://openalex.org/W3049436368","https://openalex.org/W4298267346","https://openalex.org/W2504237466"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}