{"id":"https://openalex.org/W2899860906","doi":"https://doi.org/10.1007/s10817-018-9492-2","title":"Refinement to Certify Abstract Interpretations: Illustrated on Linearization for Polyhedra","display_name":"Refinement to Certify Abstract Interpretations: Illustrated on Linearization for Polyhedra","publication_year":2018,"publication_date":"2018-11-10","ids":{"openalex":"https://openalex.org/W2899860906","doi":"https://doi.org/10.1007/s10817-018-9492-2","mag":"2899860906"},"language":"en","primary_location":{"id":"doi:10.1007/s10817-018-9492-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-018-9492-2","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-01133865","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069645466","display_name":"Sylvain Boulm\u00e9","orcid":"https://orcid.org/0000-0002-9501-9606"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210156361","display_name":"Verimag","ror":"https://ror.org/05afmzm11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I4210159245","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sylvain Boulm\u00e9","raw_affiliation_strings":["Univ. Grenoble Alpes, CNRS, Grenoble-INP, VERIMAG, 38000, Grenoble, France","VERIMAG - IMAG - VERIMAG (Verimag\r\nB\u00e2timent IMAG\r\nUniversit\u00e9 Grenoble Alpes\r\n700, avenue centrale\r\n38401 Saint Martin d\u2019H\u00e8res - France)"],"raw_orcid":"https://orcid.org/0000-0002-9501-9606","affiliations":[{"raw_affiliation_string":"Univ. Grenoble Alpes, CNRS, Grenoble-INP, VERIMAG, 38000, Grenoble, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I899635006","https://openalex.org/I106785703"]},{"raw_affiliation_string":"VERIMAG - IMAG - VERIMAG (Verimag\r\nB\u00e2timent IMAG\r\nUniversit\u00e9 Grenoble Alpes\r\n700, avenue centrale\r\n38401 Saint Martin d\u2019H\u00e8res - France)","institution_ids":["https://openalex.org/I4210156361","https://openalex.org/I899635006"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016202583","display_name":"Alexandre Mar\u00e9chal","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210156361","display_name":"Verimag","ror":"https://ror.org/05afmzm11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I4210159245","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexandre Mar\u00e9chal","raw_affiliation_strings":["Sorbonne Universit\u00e9, CNRS, Laboratoire d\u2019Informatique de Paris 6, LIP6, 75005, Paris, France","VERIMAG - IMAG - VERIMAG (Verimag\r\nB\u00e2timent IMAG\r\nUniversit\u00e9 Grenoble Alpes\r\n700, avenue centrale\r\n38401 Saint Martin d\u2019H\u00e8res - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, CNRS, Laboratoire d\u2019Informatique de Paris 6, LIP6, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210159731","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"VERIMAG - IMAG - VERIMAG (Verimag\r\nB\u00e2timent IMAG\r\nUniversit\u00e9 Grenoble Alpes\r\n700, avenue centrale\r\n38401 Saint Martin d\u2019H\u00e8res - France)","institution_ids":["https://openalex.org/I4210156361","https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5069645466"],"corresponding_institution_ids":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I899635006"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.1636,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60378995,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"62","issue":"4","first_page":"505","last_page":"530"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9997000098228455,"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/T11424","display_name":"Security and Verification in Computing","score":0.9939000010490417,"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/computer-science","display_name":"Computer science","score":0.7089763879776001},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.6740871667861938},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6691845655441284},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5947526097297668},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5707729458808899},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.48567521572113037},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46482565999031067},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.43160080909729004},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3545190691947937},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3445797860622406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23053571581840515}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7089763879776001},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.6740871667861938},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6691845655441284},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5947526097297668},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5707729458808899},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.48567521572113037},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46482565999031067},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.43160080909729004},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3545190691947937},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3445797860622406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23053571581840515},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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":2,"locations":[{"id":"doi:10.1007/s10817-018-9492-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10817-018-9492-2","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"},{"id":"pmh:oai:HAL:hal-01133865v4","is_oa":true,"landing_page_url":"https://hal.science/hal-01133865","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":"Journal of Automated Reasoning, 2019, 62 (4), ⟨10.1007/s10817-018-9492-2⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01133865v4","is_oa":true,"landing_page_url":"https://hal.science/hal-01133865","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":"Journal of Automated Reasoning, 2019, 62 (4), ⟨10.1007/s10817-018-9492-2⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1259181376","display_name":"Verified OCaml Library","funder_award_id":"ANR-15-CE25-0008","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G1392874542","display_name":"Formally-verified static analyzers and compilers","funder_award_id":"ANR-11-INSE-0003","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8731006049","display_name":"STATic analysis with ORiginal methods","funder_award_id":"306595","funder_id":"https://openalex.org/F4320338352","funder_display_name":"FP7 Ideas: European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320338352","display_name":"FP7 Ideas: European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1511826042","https://openalex.org/W1515906028","https://openalex.org/W1526792518","https://openalex.org/W1532465792","https://openalex.org/W1552647623","https://openalex.org/W1567380020","https://openalex.org/W1571848803","https://openalex.org/W1754158197","https://openalex.org/W1921152384","https://openalex.org/W1966571454","https://openalex.org/W2023035194","https://openalex.org/W2037009101","https://openalex.org/W2043100293","https://openalex.org/W2066210260","https://openalex.org/W2073330885","https://openalex.org/W2080575293","https://openalex.org/W2120065196","https://openalex.org/W2122675332","https://openalex.org/W2132661148","https://openalex.org/W2136202785","https://openalex.org/W2140960438","https://openalex.org/W2143848809","https://openalex.org/W2153532376","https://openalex.org/W2156268797","https://openalex.org/W2296148279","https://openalex.org/W2619866502","https://openalex.org/W2806294980","https://openalex.org/W2899226253","https://openalex.org/W3102860998"],"related_works":["https://openalex.org/W55831818","https://openalex.org/W1819460135","https://openalex.org/W4295798319","https://openalex.org/W353523607","https://openalex.org/W3098927713","https://openalex.org/W1585401881","https://openalex.org/W1589866633","https://openalex.org/W2774311601","https://openalex.org/W2786824742","https://openalex.org/W3106543884"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}