{"id":"https://openalex.org/W1539778767","doi":"https://doi.org/10.1007/3-540-36131-6_17","title":"Restricted \u0394-Trees and Reduction Theorems in Multiple-Valued Logics","display_name":"Restricted \u0394-Trees and Reduction Theorems in Multiple-Valued Logics","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1539778767","doi":"https://doi.org/10.1007/3-540-36131-6_17","mag":"1539778767"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-36131-6_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36131-6_17","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/A5110844843","display_name":"Inma P. de Guzm\u00e1n","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Inma P. de Guzm\u00e1n","raw_affiliation_strings":["Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088261260","display_name":"Manuel Ojeda\u2010Aciego","orcid":"https://orcid.org/0000-0002-6064-6984"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Manuel Ojeda-Aciego","raw_affiliation_strings":["Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050547672","display_name":"Agust\u00edn Valverde","orcid":"https://orcid.org/0000-0003-1441-7424"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Agust\u00edn Valverde","raw_affiliation_strings":["Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Germany"],"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e1tica Aplicada, Universidad de M\u00e1laga, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110844843"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2834,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54681121,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"161","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9995999932289124,"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/T10142","display_name":"Formal Methods in Verification","score":0.9986000061035156,"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":0.8101059198379517},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.7401319742202759},{"id":"https://openalex.org/keywords/t-norm-fuzzy-logics","display_name":"T-norm fuzzy logics","score":0.6528289318084717},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.5868498086929321},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.5739353895187378},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.5372815728187561},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5282266139984131},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4781140685081482},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4430607557296753},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.4417917728424072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43611398339271545},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40886440873146057},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36413609981536865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3556900918483734},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34123772382736206},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.2113816738128662},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1576526165008545},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11916878819465637},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.10126611590385437},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09515410661697388}],"concepts":[{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.8101059198379517},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7401319742202759},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.6528289318084717},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5868498086929321},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.5739353895187378},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.5372815728187561},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5282266139984131},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4781140685081482},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4430607557296753},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.4417917728424072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43611398339271545},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40886440873146057},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36413609981536865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3556900918483734},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34123772382736206},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.2113816738128662},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1576526165008545},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11916878819465637},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.10126611590385437},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09515410661697388},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.0},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-36131-6_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36131-6_17","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W81184183","https://openalex.org/W1565252114","https://openalex.org/W1573161515","https://openalex.org/W1783483666","https://openalex.org/W1933089843","https://openalex.org/W2013088431","https://openalex.org/W2015274895","https://openalex.org/W2086514770","https://openalex.org/W2102501380","https://openalex.org/W2126826317","https://openalex.org/W2158707725"],"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/W4298267346","https://openalex.org/W2156897951","https://openalex.org/W229834379","https://openalex.org/W2473585100","https://openalex.org/W984430137"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}