{"id":"https://openalex.org/W1526296409","doi":"https://doi.org/10.1007/10721975_7","title":"Normal Forms and Reduction for Theories of Binary Relations","display_name":"Normal Forms and Reduction for Theories of Binary Relations","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1526296409","doi":"https://doi.org/10.1007/10721975_7","mag":"1526296409"},"language":"en","primary_location":{"id":"doi:10.1007/10721975_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/10721975_7","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/A5067967117","display_name":"Dan Dougherty","orcid":null},"institutions":[{"id":"https://openalex.org/I100538780","display_name":"Wesleyan University","ror":"https://ror.org/05h7xva58","country_code":"US","type":"education","lineage":["https://openalex.org/I100538780"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dan Dougherty","raw_affiliation_strings":["Computer Science Group, Wesleyan University, Middletown, CT, 06459, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Group, Wesleyan University, Middletown, CT, 06459, USA","institution_ids":["https://openalex.org/I100538780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041698136","display_name":"Claudio Guti\u00e9rrez","orcid":"https://orcid.org/0000-0002-4559-6544"},"institutions":[{"id":"https://openalex.org/I100538780","display_name":"Wesleyan University","ror":"https://ror.org/05h7xva58","country_code":"US","type":"education","lineage":["https://openalex.org/I100538780"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claudio Guti\u00e9rrez","raw_affiliation_strings":["Computer Science Group, Wesleyan University, Middletown, CT, 06459, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Group, Wesleyan University, Middletown, CT, 06459, USA","institution_ids":["https://openalex.org/I100538780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3468,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.80240885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"95","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9976999759674072,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9975000023841858,"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/converse","display_name":"Converse","score":0.8844570517539978},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.8708736896514893},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.7752444744110107},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6529980897903442},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5685807466506958},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5258482098579407},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5151752233505249},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.45430997014045715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4337174892425537},{"id":"https://openalex.org/keywords/decision-problem","display_name":"Decision problem","score":0.4276537001132965},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4261056184768677},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.42109283804893494},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.41231340169906616},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3747935891151428},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.360641211271286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25940072536468506},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21661114692687988},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.142170250415802},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12413787841796875}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.8844570517539978},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8708736896514893},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.7752444744110107},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6529980897903442},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5685807466506958},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5258482098579407},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5151752233505249},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.45430997014045715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4337174892425537},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.4276537001132965},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4261056184768677},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.42109283804893494},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.41231340169906616},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3747935891151428},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.360641211271286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25940072536468506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21661114692687988},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.142170250415802},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12413787841796875},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/10721975_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/10721975_7","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/16","display_name":"Peace, Justice and strong institutions","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W164319552","https://openalex.org/W1487018621","https://openalex.org/W1504411053","https://openalex.org/W1508451735","https://openalex.org/W1571615440","https://openalex.org/W1589642822","https://openalex.org/W1763199018","https://openalex.org/W1964754311","https://openalex.org/W1993804761","https://openalex.org/W2006006495","https://openalex.org/W2007142183","https://openalex.org/W2018944629","https://openalex.org/W2023887522","https://openalex.org/W2045919198","https://openalex.org/W2052111967","https://openalex.org/W2056240511","https://openalex.org/W2118415432","https://openalex.org/W2144048190","https://openalex.org/W2252024768","https://openalex.org/W2498187449","https://openalex.org/W2569098540","https://openalex.org/W2987907651","https://openalex.org/W3014083718","https://openalex.org/W3146075203","https://openalex.org/W4249471896","https://openalex.org/W4250930808","https://openalex.org/W4319310227"],"related_works":["https://openalex.org/W4234189135","https://openalex.org/W2170336571","https://openalex.org/W2617189160","https://openalex.org/W2489809986","https://openalex.org/W3022248317","https://openalex.org/W1525372385","https://openalex.org/W1693995122","https://openalex.org/W2583777943","https://openalex.org/W3024140877","https://openalex.org/W2963754540"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}