{"id":"https://openalex.org/W19113275","doi":"https://doi.org/10.1007/978-3-642-28717-6_33","title":"Ordinals and Knuth-Bendix Orders","display_name":"Ordinals and Knuth-Bendix Orders","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W19113275","doi":"https://doi.org/10.1007/978-3-642-28717-6_33","mag":"19113275"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-28717-6_33","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-28717-6_33","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/A5043097301","display_name":"Sarah Winkler","orcid":"https://orcid.org/0000-0001-8114-3107"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Sarah Winkler","raw_affiliation_strings":["Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028009961","display_name":"Harald Zankl","orcid":null},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Harald Zankl","raw_affiliation_strings":["Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049118633","display_name":"Aart Middeldorp","orcid":"https://orcid.org/0000-0001-7366-8464"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Aart Middeldorp","raw_affiliation_strings":["Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Innsbruck, 6020, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043097301"],"corresponding_institution_ids":["https://openalex.org/I190249584"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.8629,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.93198459,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"420","last_page":"434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9987999796867371,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9987999796867371,"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":0.9987000226974487,"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":0.9986000061035156,"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/transfinite-number","display_name":"Transfinite number","score":0.9693183302879333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8498225212097168},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5565876364707947},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5401962399482727},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.49360835552215576},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4358011484146118},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38412219285964966},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3640515208244324},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35253608226776123},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10218888521194458},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06453648209571838}],"concepts":[{"id":"https://openalex.org/C147358099","wikidata":"https://www.wikidata.org/wiki/Q1069891","display_name":"Transfinite number","level":2,"score":0.9693183302879333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8498225212097168},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5565876364707947},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5401962399482727},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.49360835552215576},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4358011484146118},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38412219285964966},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3640515208244324},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35253608226776123},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10218888521194458},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06453648209571838},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-28717-6_33","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-28717-6_33","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":30,"referenced_works":["https://openalex.org/W69093803","https://openalex.org/W598205067","https://openalex.org/W1495433690","https://openalex.org/W1496103894","https://openalex.org/W1528022132","https://openalex.org/W1552495765","https://openalex.org/W1573992413","https://openalex.org/W1584399668","https://openalex.org/W1590111213","https://openalex.org/W1606555018","https://openalex.org/W1807555267","https://openalex.org/W1939442430","https://openalex.org/W1965088381","https://openalex.org/W1968386045","https://openalex.org/W2002483665","https://openalex.org/W2016433302","https://openalex.org/W2075899694","https://openalex.org/W2086747974","https://openalex.org/W2109883071","https://openalex.org/W2114108968","https://openalex.org/W2121757274","https://openalex.org/W2124336406","https://openalex.org/W2156645025","https://openalex.org/W2749479972","https://openalex.org/W2798401172","https://openalex.org/W2913313741","https://openalex.org/W4206829564","https://openalex.org/W4248547811","https://openalex.org/W4285719527","https://openalex.org/W4294444007"],"related_works":["https://openalex.org/W2089968568","https://openalex.org/W2048273249","https://openalex.org/W2950239705","https://openalex.org/W2261099788","https://openalex.org/W2498880115","https://openalex.org/W1663013072","https://openalex.org/W1864532727","https://openalex.org/W296787449","https://openalex.org/W4300818667","https://openalex.org/W2273515602"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}