{"id":"https://openalex.org/W1485955744","doi":"https://doi.org/10.1007/978-3-319-10515-4_4","title":"Truth Table Invariant Cylindrical Algebraic Decomposition by Regular Chains","display_name":"Truth Table Invariant Cylindrical Algebraic Decomposition by Regular Chains","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1485955744","doi":"https://doi.org/10.1007/978-3-319-10515-4_4","mag":"1485955744"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-10515-4_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-10515-4_4","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1401.6310","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073640180","display_name":"Russell Bradford","orcid":"https://orcid.org/0009-0003-3251-2051"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Russell Bradford","raw_affiliation_strings":["University of Bath, Bath, BA2 7AY, UK","#N#\u00a7#N#University of Bath#N#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath, Bath, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"#N#\u00a7#N#University of Bath#N#","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011795147","display_name":"Changbo Chen","orcid":"https://orcid.org/0000-0002-7412-7667"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210123021","display_name":"Chongqing Institute of Green and Intelligent Technology","ror":"https://ror.org/031npqv35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210123021"]},{"id":"https://openalex.org/I4210155102","display_name":"Chongqing Academy of Chinese Materia Medica","ror":"https://ror.org/049pz8m51","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210155102"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changbo Chen","raw_affiliation_strings":["CIGIT, Chinese Academy of Sciences, Chongqing, 400714, China","CIGIT, Chinese Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CIGIT, Chinese Academy of Sciences, Chongqing, 400714, China","institution_ids":["https://openalex.org/I4210155102"]},{"raw_affiliation_string":"CIGIT, Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210123021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043054372","display_name":"James H. Davenport","orcid":"https://orcid.org/0000-0002-3982-7545"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"James H. Davenport","raw_affiliation_strings":["University of Bath, Bath, BA2 7AY, UK","#N#\u00a7#N#University of Bath#N#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath, Bath, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"#N#\u00a7#N#University of Bath#N#","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052550722","display_name":"Matthew England","orcid":"https://orcid.org/0000-0001-5729-3420"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Matthew England","raw_affiliation_strings":["University of Bath, Bath, BA2 7AY, UK","#N#\u00a7#N#University of Bath#N#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath, Bath, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"#N#\u00a7#N#University of Bath#N#","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081832433","display_name":"Marc Moreno Maza","orcid":"https://orcid.org/0000-0003-3011-0756"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Marc Moreno Maza","raw_affiliation_strings":["University of Western Ontario, London, Ontario, N6A 5B7, Canada","University of Western Ontario"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Western Ontario, London, Ontario, N6A 5B7, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"University of Western Ontario","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052009668","display_name":"David J. D. Wilson","orcid":"https://orcid.org/0000-0002-0007-4486"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David Wilson","raw_affiliation_strings":["University of Bath, Bath, BA2 7AY, UK","#N#\u00a7#N#University of Bath#N#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath, Bath, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"#N#\u00a7#N#University of Bath#N#","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.4823,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.98088834,"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":"44","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.995199978351593,"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":0.995199978351593,"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":0.9829000234603882,"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":0.9681000113487244,"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/invariant","display_name":"Invariant (physics)","score":0.6284581422805786},{"id":"https://openalex.org/keywords/truth-table","display_name":"Truth table","score":0.5998244285583496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5584520697593689},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5325132012367249},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5067375302314758},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.4592859745025635},{"id":"https://openalex.org/keywords/maple","display_name":"Maple","score":0.45591697096824646},{"id":"https://openalex.org/keywords/algebraic-operation","display_name":"Algebraic operation","score":0.44733816385269165},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4381019175052643},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.430514395236969},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4158226549625397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33201783895492554},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20477312803268433},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.118012934923172}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6284581422805786},{"id":"https://openalex.org/C56949724","wikidata":"https://www.wikidata.org/wiki/Q219079","display_name":"Truth table","level":2,"score":0.5998244285583496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5584520697593689},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5325132012367249},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5067375302314758},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.4592859745025635},{"id":"https://openalex.org/C2780414537","wikidata":"https://www.wikidata.org/wiki/Q42292","display_name":"Maple","level":2,"score":0.45591697096824646},{"id":"https://openalex.org/C136003732","wikidata":"https://www.wikidata.org/wiki/Q3854337","display_name":"Algebraic operation","level":3,"score":0.44733816385269165},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4381019175052643},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.430514395236969},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4158226549625397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33201783895492554},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20477312803268433},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.118012934923172},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/978-3-319-10515-4_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-10515-4_4","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:arXiv.org:1401.6310","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.6310","pdf_url":"https://arxiv.org/pdf/1401.6310","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.639.6914","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.639.6914","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csd.uwo.ca/~moreno//Publications/BCDEMW14-LNCS.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.719.4971","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.719.4971","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.bath.ac.uk/%7Eme350/Publications/BCDEMW14.pdf","raw_type":"text"},{"id":"pmh:oai:opus.bath.ac.uk:38344","is_oa":false,"landing_page_url":"http://opus.bath.ac.uk/38344/3/BCDEMW14.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401631","display_name":"The University of Bath Online Publications Store (The University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Sections"},{"id":"pmh:oai:purehost.bath.ac.uk:openaire/a4cee6dd-7bf1-4689-ba15-f9c44e94fb2b","is_oa":true,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/a4cee6dd-7bf1-4689-ba15-f9c44e94fb2b","pdf_url":null,"source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"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":"Bradford, R, Chen, C, Davenport, J H, England, M, Moreno Maza, M & Wilson, D 2014, Truth table invariant cylindrical algebraic decomposition by regular chains. in V P Gerdt, W Koepf, W M Seiler & E V Vorozhtsov (eds), Computer Algebra in Scientific Computing : Proceedings of the16th International Workshop, CASC 2014, Warsaw, Poland, September 8-12, 2014. vol. 8660, Lecture Notes in Computer Science, Springer, pp. 44-58. https://doi.org/10.1007/978-3-319-10515-4_4","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1401.6310","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.6310","pdf_url":"https://arxiv.org/pdf/1401.6310","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4467992213","display_name":"Real Geometry and Connectedness via Triangular Description","funder_award_id":"EP/J003247/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G543206228","display_name":null,"funder_award_id":"11301524","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5769379255","display_name":null,"funder_award_id":"EP/J003247/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321550","display_name":"Chongqing Science and Technology Commission","ror":"https://ror.org/05w9erc61"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W20444823","https://openalex.org/W126540604","https://openalex.org/W979541187","https://openalex.org/W1482222746","https://openalex.org/W1536271794","https://openalex.org/W1541307534","https://openalex.org/W1560494575","https://openalex.org/W1574151794","https://openalex.org/W1797874232","https://openalex.org/W1916563250","https://openalex.org/W1976567870","https://openalex.org/W1981963604","https://openalex.org/W1984527805","https://openalex.org/W2003425586","https://openalex.org/W2007074311","https://openalex.org/W2011212572","https://openalex.org/W2016390696","https://openalex.org/W2026612342","https://openalex.org/W2026774968","https://openalex.org/W2031245794","https://openalex.org/W2033013465","https://openalex.org/W2040676767","https://openalex.org/W2051595244","https://openalex.org/W2052865204","https://openalex.org/W2053029682","https://openalex.org/W2057592112","https://openalex.org/W2065776042","https://openalex.org/W2075348750","https://openalex.org/W2098365657","https://openalex.org/W2113881937","https://openalex.org/W2125191920","https://openalex.org/W2126528701","https://openalex.org/W2135122395","https://openalex.org/W2163171771","https://openalex.org/W2167856990","https://openalex.org/W2951842770","https://openalex.org/W3098210831","https://openalex.org/W3098379678","https://openalex.org/W3217399827","https://openalex.org/W4229917934","https://openalex.org/W4255213956","https://openalex.org/W6600755281"],"related_works":["https://openalex.org/W2187413387","https://openalex.org/W851952888","https://openalex.org/W2140907685","https://openalex.org/W4210971937","https://openalex.org/W4386225212","https://openalex.org/W2372854171","https://openalex.org/W3143745619","https://openalex.org/W196064004","https://openalex.org/W1484338948","https://openalex.org/W4211175933"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":9}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2020-11-23T00:00:00"}