{"id":"https://openalex.org/W1502547841","doi":"https://doi.org/10.1007/bfb0014420","title":"Combining algebra and universal algebra in first-order theorem proving: The case of commutative rings","display_name":"Combining algebra and universal algebra in first-order theorem proving: The case of commutative rings","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1502547841","doi":"https://doi.org/10.1007/bfb0014420","mag":"1502547841"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0014420","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0014420","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/A5090703131","display_name":"Leo Bachmair","orcid":null},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Leo Bachmair","raw_affiliation_strings":["Department of Computer Science, SUNY at Stony Brook, 11794, Stony Brook, NY, USA","SUNY AT STONY BROOK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, SUNY at Stony Brook, 11794, Stony Brook, NY, USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"SUNY AT STONY BROOK","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066502627","display_name":"Harald Ganzinger","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Harald Ganzinger","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Im Stadtwald, D-66123, Saarbr\u00fccken, Germany","Im Stadtwald"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Im Stadtwald, D-66123, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Im Stadtwald","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080924144","display_name":"J\u00fcrgen Stuber","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00fcrgen Stuber","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Im Stadtwald, D-66123, Saarbr\u00fccken, Germany","Im Stadtwald"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Im Stadtwald, D-66123, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Im Stadtwald","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090703131"],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8634,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82828761,"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":"1","last_page":"29"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9743000268936157,"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/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.9276999831199646,"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/axiom","display_name":"Axiom","score":0.769245982170105},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.7047500610351562},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6465388536453247},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.5625078678131104},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5433961749076843},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.5324172973632812},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5103341937065125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5066612362861633},{"id":"https://openalex.org/keywords/noncommutative-ring","display_name":"Noncommutative ring","score":0.4733465015888214},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.45520710945129395},{"id":"https://openalex.org/keywords/equational-logic","display_name":"Equational logic","score":0.4485989511013031},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4290298521518707},{"id":"https://openalex.org/keywords/associative-algebra","display_name":"Associative algebra","score":0.41023680567741394},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3343236744403839},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29645395278930664},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.17191141843795776},{"id":"https://openalex.org/keywords/division-algebra","display_name":"Division algebra","score":0.15935546159744263},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12566348910331726},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07161867618560791}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.769245982170105},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.7047500610351562},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6465388536453247},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.5625078678131104},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5433961749076843},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.5324172973632812},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5103341937065125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5066612362861633},{"id":"https://openalex.org/C125225535","wikidata":"https://www.wikidata.org/wiki/Q7049224","display_name":"Noncommutative ring","level":3,"score":0.4733465015888214},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.45520710945129395},{"id":"https://openalex.org/C154564781","wikidata":"https://www.wikidata.org/wiki/Q5384236","display_name":"Equational logic","level":3,"score":0.4485989511013031},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4290298521518707},{"id":"https://openalex.org/C51292594","wikidata":"https://www.wikidata.org/wiki/Q744960","display_name":"Associative algebra","level":5,"score":0.41023680567741394},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3343236744403839},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29645395278930664},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.17191141843795776},{"id":"https://openalex.org/C138354692","wikidata":"https://www.wikidata.org/wiki/Q1231309","display_name":"Division algebra","level":4,"score":0.15935546159744263},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12566348910331726},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07161867618560791},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0014420","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0014420","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","score":0.800000011920929,"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/W837997859","https://openalex.org/W1510236094","https://openalex.org/W1512075079","https://openalex.org/W1521250667","https://openalex.org/W1525514552","https://openalex.org/W1527996124","https://openalex.org/W1534850143","https://openalex.org/W1541126231","https://openalex.org/W1544409518","https://openalex.org/W1571591500","https://openalex.org/W1581825889","https://openalex.org/W1583508425","https://openalex.org/W1595606268","https://openalex.org/W1964421058","https://openalex.org/W1966647497","https://openalex.org/W1995340375","https://openalex.org/W1999875564","https://openalex.org/W2037085273","https://openalex.org/W2056016391","https://openalex.org/W2077725083","https://openalex.org/W2083977009","https://openalex.org/W2128620109","https://openalex.org/W2164778826","https://openalex.org/W2912818154","https://openalex.org/W3022794709","https://openalex.org/W4211011639","https://openalex.org/W4238858352","https://openalex.org/W6601812004","https://openalex.org/W6623232535","https://openalex.org/W6630332279"],"related_works":["https://openalex.org/W3088308698","https://openalex.org/W2789285966","https://openalex.org/W4389287712","https://openalex.org/W2906747106","https://openalex.org/W2364071076","https://openalex.org/W2389360301","https://openalex.org/W2403845668","https://openalex.org/W2977639652","https://openalex.org/W2072379449","https://openalex.org/W2351503126"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}