{"id":"https://openalex.org/W1493963946","doi":"https://doi.org/10.1007/3-540-61377-3_54","title":"Positive deduction modulo regular theories","display_name":"Positive deduction modulo regular theories","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1493963946","doi":"https://doi.org/10.1007/3-540-61377-3_54","mag":"1493963946"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-61377-3_54","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-61377-3_54","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/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"]},{"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Laurent Vigneron","raw_affiliation_strings":["CRIN-CNRS & INRIA Lorraine, B.P.239, 54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex, France","CRIN-CNRS and INRIA Lorraine"],"affiliations":[{"raw_affiliation_string":"CRIN-CNRS & INRIA Lorraine, B.P.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":0.4348,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.56269663,"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":"468","last_page":"485"},"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":0.9965000152587891,"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":0.9948999881744385,"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/modulo","display_name":"Modulo","score":0.8038499355316162},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.7607109546661377},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7357953786849976},{"id":"https://openalex.org/keywords/rule-of-inference","display_name":"Rule of inference","score":0.634064793586731},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6036044359207153},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.5871191620826721},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.580237090587616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.567651093006134},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5423660278320312},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44086793065071106},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4302403926849365},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42272642254829407},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.407421350479126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3746340870857239},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3518032729625702},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34925609827041626},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3447432518005371},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22246679663658142},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13286268711090088}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.8038499355316162},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7607109546661377},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7357953786849976},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.634064793586731},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6036044359207153},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.5871191620826721},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.580237090587616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.567651093006134},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5423660278320312},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44086793065071106},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4302403926849365},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42272642254829407},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.407421350479126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3746340870857239},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3518032729625702},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34925609827041626},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3447432518005371},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22246679663658142},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13286268711090088},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-61377-3_54","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-61377-3_54","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:oai:CiteSeerX.psu:10.1.1.38.5686","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.5686","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_1995/Vigneron-CSL95.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W53862558","https://openalex.org/W837997859","https://openalex.org/W913479852","https://openalex.org/W1479669713","https://openalex.org/W1480487311","https://openalex.org/W1504115175","https://openalex.org/W1577485093","https://openalex.org/W1581435998","https://openalex.org/W1583508425","https://openalex.org/W1589182689","https://openalex.org/W1966048066","https://openalex.org/W1987324360","https://openalex.org/W2033288425","https://openalex.org/W2037085273","https://openalex.org/W2042924775","https://openalex.org/W2043314428","https://openalex.org/W2051518991","https://openalex.org/W2056016391","https://openalex.org/W2077429176","https://openalex.org/W2100738443","https://openalex.org/W2132750992","https://openalex.org/W2571001698","https://openalex.org/W2912818154","https://openalex.org/W2914834504","https://openalex.org/W4239054357","https://openalex.org/W4243961738","https://openalex.org/W4392491819","https://openalex.org/W6759055872"],"related_works":["https://openalex.org/W1723526129","https://openalex.org/W2067633203","https://openalex.org/W1850690851","https://openalex.org/W3179244314","https://openalex.org/W161895701","https://openalex.org/W4237444133","https://openalex.org/W53862558","https://openalex.org/W1499822848","https://openalex.org/W2608781458","https://openalex.org/W2052377886"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}