{"id":"https://openalex.org/W1974339543","doi":"https://doi.org/10.1145/2465506.2465522","title":"Signature rewriting in gr\u00f6bner basis computation","display_name":"Signature rewriting in gr\u00f6bner basis computation","publication_year":2013,"publication_date":"2013-06-25","ids":{"openalex":"https://openalex.org/W1974339543","doi":"https://doi.org/10.1145/2465506.2465522","mag":"1974339543"},"language":"en","primary_location":{"id":"doi:10.1145/2465506.2465522","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2465506.2465522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-00930273","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027815561","display_name":"Christian Eder","orcid":"https://orcid.org/0000-0002-8814-8493"},"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christian Eder","raw_affiliation_strings":["INRIA, Paris-Rocquencourt Center, Paris, France","Inria, Paris-Rocquencourt Center, Paris, France"],"affiliations":[{"raw_affiliation_string":"INRIA, Paris-Rocquencourt Center, Paris, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Inria, Paris-Rocquencourt Center, Paris, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032243537","display_name":"Bjarke Hammersholt Roune","orcid":null},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bjarke Hammersholt Roune","raw_affiliation_strings":["University of Kaiserslautern, Kaiserslautern, Germany","University of Kaiserslautern; Kaiserslautern; Germany"],"affiliations":[{"raw_affiliation_string":"University of Kaiserslautern, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]},{"raw_affiliation_string":"University of Kaiserslautern; Kaiserslautern; Germany","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027815561"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":2.5892,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.89012971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"331","last_page":"338"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9997000098228455,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9997000098228455,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11752","display_name":"Cancer Treatment and Pharmacology","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2730","display_name":"Oncology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.8473902940750122},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7852358818054199},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7273449897766113},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6448510885238647},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6284316778182983},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5760997533798218},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5286215543746948},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4806053340435028},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.4787554144859314},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4463009834289551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3191035985946655},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2903836965560913}],"concepts":[{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.8473902940750122},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7852358818054199},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7273449897766113},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6448510885238647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6284316778182983},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5760997533798218},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5286215543746948},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4806053340435028},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.4787554144859314},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4463009834289551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3191035985946655},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2903836965560913},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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":2,"locations":[{"id":"doi:10.1145/2465506.2465522","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2465506.2465522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00930273v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00930273","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSAC 2013 - International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.331-338, ⟨10.1145/2465506.2465522⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00930273v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00930273","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSAC 2013 - International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.331-338, ⟨10.1145/2465506.2465522⟩","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1585387101","https://openalex.org/W1827980154","https://openalex.org/W1989653154","https://openalex.org/W1993995116","https://openalex.org/W2023845786","https://openalex.org/W2035842864","https://openalex.org/W2038345254","https://openalex.org/W2058865345","https://openalex.org/W2098942149","https://openalex.org/W2128687423","https://openalex.org/W2950957630","https://openalex.org/W6638694978","https://openalex.org/W6779692419"],"related_works":["https://openalex.org/W1667647204","https://openalex.org/W2120204135","https://openalex.org/W2404647514","https://openalex.org/W4247536566","https://openalex.org/W4299818930","https://openalex.org/W2467059325","https://openalex.org/W263998227","https://openalex.org/W2123064487","https://openalex.org/W2963664616","https://openalex.org/W55831818"],"abstract_inverted_index":{"We":[0,41],"introduce":[1],"the":[2,18,38],"RB":[3,16,56],"algorithm":[4,13,22],"for":[5],"Gr\u00f6bner":[6],"basis":[7],"computation,":[8],"a":[9,24,60],"simpler":[10,39],"yet":[11,44],"equivalent":[12],"to":[14,31],"F5GEN.":[15],"contains":[17,65],"original":[19],"unmodified":[20],"F5":[21,35],"as":[23,69],"special":[25,70],"case,":[26],"so":[27],"it":[28,64],"is":[29,57],"possible":[30],"study":[32],"and":[33,50,54,63],"understand":[34],"by":[36,59],"considering":[37],"RB.":[40],"present":[42],"simple":[43],"complete":[45],"proofs":[46],"of":[47,51],"this":[48],"fact":[49],"F5's":[52],"termination":[53],"correctness.":[55],"parametrized":[58],"rewrite":[61],"order":[62],"many":[66],"published":[67],"algorithms":[68],"cases,":[71],"including":[72],"SB.":[73]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-22T08:38:42.863108","created_date":"2025-10-10T00:00:00"}