{"id":"https://openalex.org/W1518867990","doi":"https://doi.org/10.1007/bfb0028998","title":"It is undecidable whether the Knuth-Bendix completion procedure generates a crossed pair","display_name":"It is undecidable whether the Knuth-Bendix completion procedure generates a crossed pair","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W1518867990","doi":"https://doi.org/10.1007/bfb0028998","mag":"1518867990"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0028998","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0028998","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/A5083889587","display_name":"Paliath Narendran","orcid":"https://orcid.org/0000-0003-4521-5892"},"institutions":[{"id":"https://openalex.org/I1332737386","display_name":"General Electric (United States)","ror":"https://ror.org/013msgt25","country_code":"US","type":"company","lineage":["https://openalex.org/I1332737386"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Paliath Narendran","raw_affiliation_strings":["General Electric Company Corporate Research and Development, 12345, Schenectady, N.Y","General Electric Company, Corporate Research and Development"],"affiliations":[{"raw_affiliation_string":"General Electric Company Corporate Research and Development, 12345, Schenectady, N.Y","institution_ids":[]},{"raw_affiliation_string":"General Electric Company, Corporate Research and Development","institution_ids":["https://openalex.org/I1332737386"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036699990","display_name":"Jonathan Stillman","orcid":null},"institutions":[{"id":"https://openalex.org/I1332737386","display_name":"General Electric (United States)","ror":"https://ror.org/013msgt25","country_code":"US","type":"company","lineage":["https://openalex.org/I1332737386"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jonathan Stillman","raw_affiliation_strings":["General Electric Company Corporate Research and Development, 12345, Schenectady, N.Y","General Electric Company, Corporate Research and Development"],"affiliations":[{"raw_affiliation_string":"General Electric Company Corporate Research and Development, 12345, Schenectady, N.Y","institution_ids":[]},{"raw_affiliation_string":"General Electric Company, Corporate Research and Development","institution_ids":["https://openalex.org/I1332737386"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083889587"],"corresponding_institution_ids":["https://openalex.org/I1332737386"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2786,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.56202757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"348","last_page":"359"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998000264167786,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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/undecidable-problem","display_name":"Undecidable problem","score":0.9792248010635376},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7170825004577637},{"id":"https://openalex.org/keywords/unification","display_name":"Unification","score":0.6692174673080444},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5172241926193237},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.45048001408576965},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36419880390167236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19972699880599976},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.09379538893699646},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07791301608085632}],"concepts":[{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.9792248010635376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7170825004577637},{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.6692174673080444},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5172241926193237},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.45048001408576965},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36419880390167236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19972699880599976},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.09379538893699646},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07791301608085632},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0028998","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0028998","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W196782186","https://openalex.org/W1495091595","https://openalex.org/W1503725297","https://openalex.org/W1553570096","https://openalex.org/W1564350387","https://openalex.org/W1598625331","https://openalex.org/W1968386045","https://openalex.org/W1998613054","https://openalex.org/W2002089154","https://openalex.org/W2008100839","https://openalex.org/W2016433302","https://openalex.org/W2164767950","https://openalex.org/W2914336554","https://openalex.org/W4246910572","https://openalex.org/W4302339081","https://openalex.org/W6607984785","https://openalex.org/W6635611516","https://openalex.org/W6642673056","https://openalex.org/W6888786730"],"related_works":["https://openalex.org/W1223318389","https://openalex.org/W1981828430","https://openalex.org/W1583400373","https://openalex.org/W2566029784","https://openalex.org/W1563786920","https://openalex.org/W3209732136","https://openalex.org/W4297670065","https://openalex.org/W1618267488","https://openalex.org/W2909826889","https://openalex.org/W1543051890"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}