{"id":"https://openalex.org/W1978149312","doi":"https://doi.org/10.1007/s10817-015-9320-x","title":"Formally-Verified Decision Procedures for Univariate Polynomial Computation Based on Sturm\u2019s and Tarski\u2019s Theorems","display_name":"Formally-Verified Decision Procedures for Univariate Polynomial Computation Based on Sturm\u2019s and Tarski\u2019s Theorems","publication_year":2015,"publication_date":"2015-02-04","ids":{"openalex":"https://openalex.org/W1978149312","doi":"https://doi.org/10.1007/s10817-015-9320-x","mag":"1978149312"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-015-9320-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-015-9320-x","pdf_url":null,"source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-article"},"type":"article","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/A5000166506","display_name":"Anthony Narkawicz","orcid":null},"institutions":[{"id":"https://openalex.org/I1319063186","display_name":"Langley Research Center","ror":"https://ror.org/0399mhs52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1319063186","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anthony Narkawicz","raw_affiliation_strings":["NASA Langley Research Center, Hampton, VA, 23681, USA","NASA Langley Research Center, Hampton, USA 23681#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NASA Langley Research Center, Hampton, VA, 23681, USA","institution_ids":["https://openalex.org/I1319063186"]},{"raw_affiliation_string":"NASA Langley Research Center, Hampton, USA 23681#TAB#","institution_ids":["https://openalex.org/I1319063186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016058241","display_name":"C\u00e9sar Mu\u00f1oz","orcid":"https://orcid.org/0000-0003-3579-8254"},"institutions":[{"id":"https://openalex.org/I1319063186","display_name":"Langley Research Center","ror":"https://ror.org/0399mhs52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1319063186","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C\u00e9sar Mu\u00f1oz","raw_affiliation_strings":["NASA Langley Research Center, Hampton, VA, 23681, USA","NASA Langley Research Center, Hampton, USA 23681#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NASA Langley Research Center, Hampton, VA, 23681, USA","institution_ids":["https://openalex.org/I1319063186"]},{"raw_affiliation_string":"NASA Langley Research Center, Hampton, USA 23681#TAB#","institution_ids":["https://openalex.org/I1319063186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048656750","display_name":"Aaron Dutle","orcid":"https://orcid.org/0000-0002-8503-5514"},"institutions":[{"id":"https://openalex.org/I1319063186","display_name":"Langley Research Center","ror":"https://ror.org/0399mhs52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1319063186","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aaron Dutle","raw_affiliation_strings":["NASA Langley Research Center, Hampton, VA, 23681, USA","NASA Langley Research Center, Hampton, USA 23681#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NASA Langley Research Center, Hampton, VA, 23681, USA","institution_ids":["https://openalex.org/I1319063186"]},{"raw_affiliation_string":"NASA Langley Research Center, Hampton, USA 23681#TAB#","institution_ids":["https://openalex.org/I1319063186"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016058241"],"corresponding_institution_ids":["https://openalex.org/I1319063186"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.5291,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.9287699,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"54","issue":"4","first_page":"285","last_page":"326"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9812999963760376,"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9696999788284302,"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/mathematics","display_name":"Mathematics","score":0.7252357006072998},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.7063419818878174},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.527214527130127},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5129594206809998},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.4948517680168152},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.45501816272735596},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4033729135990143},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32171133160591125},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21033161878585815},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1628696322441101},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1584206223487854}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7252357006072998},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.7063419818878174},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.527214527130127},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5129594206809998},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.4948517680168152},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.45501816272735596},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4033729135990143},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32171133160591125},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21033161878585815},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1628696322441101},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1584206223487854},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10817-015-9320-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-015-9320-x","pdf_url":null,"source":{"id":"https://openalex.org/S99781599","display_name":"Journal of Automated Reasoning","issn_l":"0168-7433","issn":["0168-7433","1573-0670"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Automated Reasoning","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6700000166893005,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W3888705","https://openalex.org/W20183590","https://openalex.org/W26772505","https://openalex.org/W43281984","https://openalex.org/W68238214","https://openalex.org/W102301403","https://openalex.org/W589984754","https://openalex.org/W613166357","https://openalex.org/W851107164","https://openalex.org/W1421638684","https://openalex.org/W1484491875","https://openalex.org/W1490012302","https://openalex.org/W1500495637","https://openalex.org/W1501825542","https://openalex.org/W1527253569","https://openalex.org/W1534704094","https://openalex.org/W1534850143","https://openalex.org/W1553142094","https://openalex.org/W1558198085","https://openalex.org/W1572998018","https://openalex.org/W1595559231","https://openalex.org/W1599525342","https://openalex.org/W1649228311","https://openalex.org/W1966712204","https://openalex.org/W1977336460","https://openalex.org/W1993722858","https://openalex.org/W2008288068","https://openalex.org/W2016389104","https://openalex.org/W2019882358","https://openalex.org/W2022441937","https://openalex.org/W2066886481","https://openalex.org/W2073787328","https://openalex.org/W2079220326","https://openalex.org/W2116413233","https://openalex.org/W2124497430","https://openalex.org/W2131247450","https://openalex.org/W2132303335","https://openalex.org/W2145377870","https://openalex.org/W2157264766","https://openalex.org/W2166280160","https://openalex.org/W2277766137","https://openalex.org/W2481217403","https://openalex.org/W2484233465","https://openalex.org/W2504697871","https://openalex.org/W2505714681","https://openalex.org/W2798401172","https://openalex.org/W2911377851","https://openalex.org/W2951378515","https://openalex.org/W3100674527","https://openalex.org/W3217399827","https://openalex.org/W4247922331","https://openalex.org/W4255213956","https://openalex.org/W4298290503"],"related_works":["https://openalex.org/W1511249877","https://openalex.org/W2466303427","https://openalex.org/W1578828174","https://openalex.org/W2000943029","https://openalex.org/W2950376466","https://openalex.org/W2950202488","https://openalex.org/W2604424424","https://openalex.org/W2272231869","https://openalex.org/W47107507","https://openalex.org/W3100311625"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
