{"id":"https://openalex.org/W1977211509","doi":"https://doi.org/10.1007/3-540-53162-9_46","title":"Equation solving in conditional AC-theories","display_name":"Equation solving in conditional AC-theories","publication_year":1990,"publication_date":"1990-01-01","ids":{"openalex":"https://openalex.org/W1977211509","doi":"https://doi.org/10.1007/3-540-53162-9_46","mag":"1977211509"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-53162-9_46","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-53162-9_46","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":"conference-paper","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/A5039993352","display_name":"Nachum Dershowitz","orcid":"https://orcid.org/0000-0003-0363-2735"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]},{"id":"https://openalex.org/I2801919071","display_name":"University of Illinois System","ror":"https://ror.org/05e94g991","country_code":"US","type":"education","lineage":["https://openalex.org/I2801919071"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nachum Dershowitz","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Urbana, U.S.A","#N#\u2004University of Illinois"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana, U.S.A","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I183874917","https://openalex.org/I2801919071"]},{"raw_affiliation_string":"#N#\u2004University of Illinois","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023708568","display_name":"Subrata Mitra","orcid":"https://orcid.org/0000-0003-1391-0102"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Subrata Mitra","raw_affiliation_strings":["Department of Computer Science, University of Delaware, Newark, U.S.A","University of Delaware"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Delaware, Newark, U.S.A","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109889861","display_name":"G. Sivakumar","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Sivakumar","raw_affiliation_strings":["Department of Computer Science, University of Delaware, Newark, U.S.A","University of Delaware"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Delaware, Newark, U.S.A","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"283","last_page":"297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9977999925613403,"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":0.9973999857902527,"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/unification","display_name":"Unification","score":0.7993576526641846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6812195777893066},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5980286598205566},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.579037070274353},{"id":"https://openalex.org/keywords/equation-solving","display_name":"Equation solving","score":0.5381876230239868},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5296228528022766},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.49710968136787415},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.45914340019226074},{"id":"https://openalex.org/keywords/equational-logic","display_name":"Equational logic","score":0.4305775463581085},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39979517459869385},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36308103799819946},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3496765196323395},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3485299348831177},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.33909887075424194},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29975399374961853},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18927732110023499},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1517445147037506},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12996545433998108},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.10443904995918274},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06682506203651428}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.7993576526641846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6812195777893066},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5980286598205566},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.579037070274353},{"id":"https://openalex.org/C203989658","wikidata":"https://www.wikidata.org/wiki/Q1879820","display_name":"Equation solving","level":3,"score":0.5381876230239868},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5296228528022766},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49710968136787415},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.45914340019226074},{"id":"https://openalex.org/C154564781","wikidata":"https://www.wikidata.org/wiki/Q5384236","display_name":"Equational logic","level":3,"score":0.4305775463581085},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39979517459869385},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36308103799819946},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3496765196323395},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3485299348831177},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.33909887075424194},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29975399374961853},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18927732110023499},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1517445147037506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12996545433998108},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.10443904995918274},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06682506203651428},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-53162-9_46","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-53162-9_46","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:10.1.1.150.889","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.889","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.tau.ac.il/~nachumd/papers/LNCS/EquationSolving.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W92963751","https://openalex.org/W126161224","https://openalex.org/W171707325","https://openalex.org/W1489240819","https://openalex.org/W1513315908","https://openalex.org/W1538694434","https://openalex.org/W1588352680","https://openalex.org/W1996038999","https://openalex.org/W2013076094","https://openalex.org/W2056637458","https://openalex.org/W2065794924","https://openalex.org/W2123757846","https://openalex.org/W2319798085","https://openalex.org/W2461208021","https://openalex.org/W2547662413","https://openalex.org/W2912818154","https://openalex.org/W2913078623","https://openalex.org/W6758328174","https://openalex.org/W6759055872"],"related_works":["https://openalex.org/W4206200208","https://openalex.org/W2164911517","https://openalex.org/W1523315298","https://openalex.org/W2024730457","https://openalex.org/W2890451556","https://openalex.org/W1576049389","https://openalex.org/W1545845259","https://openalex.org/W1723526129","https://openalex.org/W4288570797","https://openalex.org/W1974287725"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}