{"id":"https://openalex.org/W1486060992","doi":"https://doi.org/10.1007/978-3-540-45138-9_57","title":"On the Complexity of Some Equivalence Problems for Propositional Calculi","display_name":"On the Complexity of Some Equivalence Problems for Propositional Calculi","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1486060992","doi":"https://doi.org/10.1007/978-3-540-45138-9_57","mag":"1486060992"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-45138-9_57","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45138-9_57","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/A5023193609","display_name":"Steffen Reith","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Steffen Reith","raw_affiliation_strings":["3Soft GmbH, Frauenweiherstr. 14, D-91058, Erlangen, Germany","3Soft GmbH, Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"3Soft GmbH, Frauenweiherstr. 14, D-91058, Erlangen, Germany","institution_ids":[]},{"raw_affiliation_string":"3Soft GmbH, Erlangen, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023193609"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0665,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.75404732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"632","last_page":"641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11567","display_name":"semigroups and automata theory","score":0.9988999962806702,"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/T12002","display_name":"Computability, Logic, AI Algorithms","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/propositional-variable","display_name":"Propositional variable","score":0.8080734014511108},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.6817797422409058},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.6623476147651672},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.622205376625061},{"id":"https://openalex.org/keywords/well-formed-formula","display_name":"Well-formed formula","score":0.46817415952682495},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4658926725387573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4501854181289673},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.4282553791999817},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.4259554445743561},{"id":"https://openalex.org/keywords/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.41936391592025757},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.4178074896335602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39099735021591187},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34676507115364075},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.20683833956718445},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14758792519569397},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.1014096736907959}],"concepts":[{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.8080734014511108},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.6817797422409058},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.6623476147651672},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.622205376625061},{"id":"https://openalex.org/C191222856","wikidata":"https://www.wikidata.org/wiki/Q655328","display_name":"Well-formed formula","level":5,"score":0.46817415952682495},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4658926725387573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4501854181289673},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.4282553791999817},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.4259554445743561},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.41936391592025757},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.4178074896335602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39099735021591187},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34676507115364075},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.20683833956718445},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14758792519569397},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.1014096736907959},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":1,"locations":[{"id":"doi:10.1007/978-3-540-45138-9_57","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45138-9_57","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":[{"display_name":"Reduced inequalities","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W640611040","https://openalex.org/W1532594152","https://openalex.org/W1589711670","https://openalex.org/W1591764802","https://openalex.org/W1618174268","https://openalex.org/W1987386540","https://openalex.org/W1997240046","https://openalex.org/W2023364974","https://openalex.org/W2043360684","https://openalex.org/W2082723133","https://openalex.org/W2094404282","https://openalex.org/W2132638915","https://openalex.org/W2140053302","https://openalex.org/W2166566648","https://openalex.org/W2398485441","https://openalex.org/W2561675875","https://openalex.org/W4302429661"],"related_works":["https://openalex.org/W83658943","https://openalex.org/W2054812122","https://openalex.org/W1486060992","https://openalex.org/W2153912760","https://openalex.org/W4321153753","https://openalex.org/W2951050752","https://openalex.org/W2090186445","https://openalex.org/W1493084124","https://openalex.org/W2554513184","https://openalex.org/W2483481624"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
