{"id":"https://openalex.org/W1565252114","doi":"https://doi.org/10.1023/a:1020530109551","title":"Satisfiability Testing for Boolean Formulas Using \u0394-trees","display_name":"Satisfiability Testing for Boolean Formulas Using \u0394-trees","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W1565252114","doi":"https://doi.org/10.1023/a:1020530109551","mag":"1565252114"},"language":"en","primary_location":{"id":"doi:10.1023/a:1020530109551","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1020530109551","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","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/A5073499592","display_name":"Gloria Guti\u00e9rrez","orcid":"https://orcid.org/0000-0003-0597-9564"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"G. Guti\u00e9rrez","raw_affiliation_strings":["Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, P.O. Box 4114, 29080, M\u00e1laga, Spain","Department Matem\u00e1tica Aplicada , Universidad de M\u00e1laga , Malaga, Spain"],"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, P.O. Box 4114, 29080, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]},{"raw_affiliation_string":"Department Matem\u00e1tica Aplicada , Universidad de M\u00e1laga , Malaga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110844843","display_name":"Inma P. de Guzm\u00e1n","orcid":null},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"I. P. de Guzm\u00e1n","raw_affiliation_strings":["Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, P.O. Box 4114, 29080, M\u00e1laga, Spain","Department Matem\u00e1tica Aplicada , Universidad de M\u00e1laga , Malaga, Spain"],"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, P.O. Box 4114, 29080, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]},{"raw_affiliation_string":"Department Matem\u00e1tica Aplicada , Universidad de M\u00e1laga , Malaga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038407975","display_name":"J. Mart\u00ednez","orcid":null},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Mart\u00ednez","raw_affiliation_strings":["Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, P.O. Box 4114, 29080, M\u00e1laga, Spain","Department Matem\u00e1tica Aplicada , Universidad de M\u00e1laga , Malaga, Spain"],"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, P.O. Box 4114, 29080, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]},{"raw_affiliation_string":"Department Matem\u00e1tica Aplicada , Universidad de M\u00e1laga , Malaga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088261260","display_name":"Manuel Ojeda\u2010Aciego","orcid":"https://orcid.org/0000-0002-6064-6984"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Ojeda-Aciego","raw_affiliation_strings":["Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, P.O. Box 4114, 29080, M\u00e1laga, Spain","Department Matem\u00e1tica Aplicada , Universidad de M\u00e1laga , Malaga, Spain"],"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, P.O. Box 4114, 29080, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]},{"raw_affiliation_string":"Department Matem\u00e1tica Aplicada , Universidad de M\u00e1laga , Malaga, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050547672","display_name":"Agust\u00edn Valverde","orcid":"https://orcid.org/0000-0003-1441-7424"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Valverde","raw_affiliation_strings":["Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, P.O. Box 4114, 29080, M\u00e1laga, Spain","Department Matem\u00e1tica Aplicada , Universidad de M\u00e1laga , Malaga, Spain"],"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, P.O. Box 4114, 29080, M\u00e1laga, Spain","institution_ids":["https://openalex.org/I82767444"]},{"raw_affiliation_string":"Department Matem\u00e1tica Aplicada , Universidad de M\u00e1laga , Malaga, Spain","institution_ids":["https://openalex.org/I82767444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5073499592"],"corresponding_institution_ids":["https://openalex.org/I82767444"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.0932,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86218511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"72","issue":"1","first_page":"85","last_page":"112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9886999726295471,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/mathematics","display_name":"Mathematics","score":0.724284827709198},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.7035605907440186},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6817629337310791},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.6544414758682251},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5591483116149902},{"id":"https://openalex.org/keywords/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.5245469212532043},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4925330579280853},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.44319629669189453},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44231608510017395},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31227678060531616},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2752387523651123},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.2660706043243408},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25649523735046387},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.10892948508262634}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.724284827709198},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.7035605907440186},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6817629337310791},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.6544414758682251},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5591483116149902},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.5245469212532043},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4925330579280853},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.44319629669189453},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44231608510017395},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31227678060531616},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2752387523651123},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.2660706043243408},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25649523735046387},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.10892948508262634},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1020530109551","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1020530109551","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1506886065","https://openalex.org/W1513458930","https://openalex.org/W1543568366","https://openalex.org/W1586167239","https://openalex.org/W2028837121","https://openalex.org/W2080267935","https://openalex.org/W2092544922","https://openalex.org/W2102501380","https://openalex.org/W2142833434","https://openalex.org/W4234528212"],"related_works":["https://openalex.org/W2611035363","https://openalex.org/W2162928907","https://openalex.org/W1859833606","https://openalex.org/W2018251959","https://openalex.org/W117878442","https://openalex.org/W3128448798","https://openalex.org/W2060997531","https://openalex.org/W189123293","https://openalex.org/W1993916076","https://openalex.org/W1604312867"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
