{"id":"https://openalex.org/W2037639986","doi":"https://doi.org/10.1007/bf01531028","title":"Exact satisfiability, a natural extension of set partition, and its average case behavior","display_name":"Exact satisfiability, a natural extension of set partition, and its average case behavior","publication_year":1992,"publication_date":"1992-03-01","ids":{"openalex":"https://openalex.org/W2037639986","doi":"https://doi.org/10.1007/bf01531028","mag":"2037639986"},"language":"en","primary_location":{"id":"doi:10.1007/bf01531028","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01531028","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},"type":"article","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/A5057131001","display_name":"John W. Rosenthal","orcid":null},"institutions":[{"id":"https://openalex.org/I87424562","display_name":"Ithaca College","ror":"https://ror.org/01kw1gj07","country_code":"US","type":"education","lineage":["https://openalex.org/I87424562"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John W. Rosenthal","raw_affiliation_strings":["Department of Mathematics and Computer Science, Ithaca College, 14850, Ithaca, New York, USA","Department of Mathematics and Computer Science, Ithaca College, Ithaca, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Ithaca College, 14850, Ithaca, New York, USA","institution_ids":["https://openalex.org/I87424562"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Ithaca College, Ithaca, USA","institution_ids":["https://openalex.org/I87424562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091617167","display_name":"Ewald Speckenmeyer","orcid":null},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ewald Speckenmeyer","raw_affiliation_strings":["FB Informatik, Universit\u00e4t Dortmund, Postfach 500500, D-4600, Dortmund 50, Germany","FB Informatik, Universit\u00e4t Dortmund, Dortmund 50, Germany"],"affiliations":[{"raw_affiliation_string":"FB Informatik, Universit\u00e4t Dortmund, Postfach 500500, D-4600, Dortmund 50, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"FB Informatik, Universit\u00e4t Dortmund, Dortmund 50, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006800197","display_name":"Rainer Kemp","orcid":null},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rainer Kemp","raw_affiliation_strings":["Fachbereich 20-Angewandte Informatik, Johann Wolfgang Goethe-Universit\u00e4t, Postfach 111932, D-6000, Frankfurt/M. 11, Germany","Fachbereich 20-Angewandte Informatik, Johann Wolfgang Goethe-Universit\u00e4t, Frankfurt/M. 11, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich 20-Angewandte Informatik, Johann Wolfgang Goethe-Universit\u00e4t, Postfach 111932, D-6000, Frankfurt/M. 11, Germany","institution_ids":["https://openalex.org/I114090438"]},{"raw_affiliation_string":"Fachbereich 20-Angewandte Informatik, Johann Wolfgang Goethe-Universit\u00e4t, Frankfurt/M. 11, Germany","institution_ids":["https://openalex.org/I114090438"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057131001"],"corresponding_institution_ids":["https://openalex.org/I87424562"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.17521676,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"1-3","first_page":"185","last_page":"200"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9943000078201294,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9943000078201294,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9894999861717224,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9797999858856201,"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/satisfiability","display_name":"Satisfiability","score":0.7681081295013428},{"id":"https://openalex.org/keywords/backtracking","display_name":"Backtracking","score":0.7448061108589172},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7271056771278381},{"id":"https://openalex.org/keywords/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.7057071924209595},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.5984382629394531},{"id":"https://openalex.org/keywords/true-quantified-boolean-formula","display_name":"True quantified Boolean formula","score":0.56182461977005},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5442841053009033},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5355624556541443},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5227451324462891},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.47673261165618896},{"id":"https://openalex.org/keywords/maximum-satisfiability-problem","display_name":"Maximum satisfiability problem","score":0.4576941132545471},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4327337443828583},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.42349737882614136},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4218078851699829},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42085736989974976},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2394973337650299},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.15242597460746765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.148118793964386},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08800658583641052}],"concepts":[{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.7681081295013428},{"id":"https://openalex.org/C156884757","wikidata":"https://www.wikidata.org/wiki/Q798554","display_name":"Backtracking","level":2,"score":0.7448061108589172},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7271056771278381},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.7057071924209595},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.5984382629394531},{"id":"https://openalex.org/C200415742","wikidata":"https://www.wikidata.org/wiki/Q1350285","display_name":"True quantified Boolean formula","level":2,"score":0.56182461977005},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5442841053009033},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5355624556541443},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5227451324462891},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.47673261165618896},{"id":"https://openalex.org/C111797529","wikidata":"https://www.wikidata.org/wiki/Q17080584","display_name":"Maximum satisfiability problem","level":3,"score":0.4576941132545471},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4327337443828583},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.42349737882614136},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4218078851699829},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42085736989974976},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2394973337650299},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.15242597460746765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.148118793964386},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08800658583641052},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01531028","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01531028","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1488898519","https://openalex.org/W1540360785","https://openalex.org/W1596220353","https://openalex.org/W1969377401","https://openalex.org/W1980584633","https://openalex.org/W2001341021","https://openalex.org/W2003306963","https://openalex.org/W2011039300","https://openalex.org/W2016042296","https://openalex.org/W2045390532","https://openalex.org/W2055978814","https://openalex.org/W2164346692","https://openalex.org/W4245047469","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2963321374","https://openalex.org/W2796388654","https://openalex.org/W2332241156","https://openalex.org/W2014111643","https://openalex.org/W774584138","https://openalex.org/W2154853422","https://openalex.org/W2558119813","https://openalex.org/W3120153087","https://openalex.org/W2153143225","https://openalex.org/W4362647905"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
