{"id":"https://openalex.org/W1583508425","doi":"https://doi.org/10.1007/3-540-58156-1_39","title":"Associative-commutative deduction with constraints","display_name":"Associative-commutative deduction with constraints","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W1583508425","doi":"https://doi.org/10.1007/3-540-58156-1_39","mag":"1583508425"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-58156-1_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-58156-1_39","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/A5026634244","display_name":"Laurent Vigneron","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Laurent Vigneron","raw_affiliation_strings":["CRIN-CNRS & INRIA-Lorraine, BP 239, 54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex, France","CRIN-CNRS and INRIA Lorraine"],"affiliations":[{"raw_affiliation_string":"CRIN-CNRS & INRIA-Lorraine, BP 239, 54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CRIN-CNRS and INRIA Lorraine","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026634244"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.1584,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.97339752,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"530","last_page":"544"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9952999949455261,"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/T10142","display_name":"Formal Methods in Verification","score":0.992900013923645,"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/automated-theorem-proving","display_name":"Automated theorem proving","score":0.8771142959594727},{"id":"https://openalex.org/keywords/unification","display_name":"Unification","score":0.7502506971359253},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.7110614776611328},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.7007360458374023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6256127953529358},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.620937705039978},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5821554064750671},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5485641360282898},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4747779071331024},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4616253972053528},{"id":"https://openalex.org/keywords/rule-of-inference","display_name":"Rule of inference","score":0.4210493564605713},{"id":"https://openalex.org/keywords/pruning","display_name":"Pruning","score":0.4199036955833435},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.4187834858894348},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3743838667869568},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.372869074344635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35668930411338806},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31119483709335327},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.24552801251411438},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19825056195259094}],"concepts":[{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.8771142959594727},{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.7502506971359253},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.7110614776611328},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.7007360458374023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6256127953529358},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.620937705039978},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5821554064750671},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5485641360282898},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4747779071331024},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4616253972053528},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.4210493564605713},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.4199036955833435},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.4187834858894348},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3743838667869568},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.372869074344635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35668930411338806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31119483709335327},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.24552801251411438},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19825056195259094},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-58156-1_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-58156-1_39","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"},{"id":"pmh:hdl:10068/41926","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/41926","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"R - Report"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.38.1403","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.1403","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.loria.fr/pub/loria/protheo/COMMUNICATIONS_1994/Vigneron-CADE94.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.4099999964237213,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W28083723","https://openalex.org/W44144289","https://openalex.org/W53862558","https://openalex.org/W837997859","https://openalex.org/W1479669713","https://openalex.org/W1480782930","https://openalex.org/W1494888826","https://openalex.org/W1504115175","https://openalex.org/W1524190953","https://openalex.org/W1565641461","https://openalex.org/W1569493237","https://openalex.org/W1577485093","https://openalex.org/W1579673254","https://openalex.org/W1637607238","https://openalex.org/W1906155502","https://openalex.org/W1966048066","https://openalex.org/W1985789487","https://openalex.org/W2023047125","https://openalex.org/W2043314428","https://openalex.org/W2048748607","https://openalex.org/W2051518991","https://openalex.org/W2056016391","https://openalex.org/W2077429176","https://openalex.org/W2132750992","https://openalex.org/W2912818154","https://openalex.org/W4205821313","https://openalex.org/W6601812004","https://openalex.org/W6630269040","https://openalex.org/W6634190127","https://openalex.org/W6634747860","https://openalex.org/W6637037096","https://openalex.org/W6759055872"],"related_works":["https://openalex.org/W4246350535","https://openalex.org/W3083050876","https://openalex.org/W1875958796","https://openalex.org/W1780472831","https://openalex.org/W1976200187","https://openalex.org/W1561644379","https://openalex.org/W2969536091","https://openalex.org/W2885010049","https://openalex.org/W4226294174","https://openalex.org/W2971533183"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}