{"id":"https://openalex.org/W2130096835","doi":"https://doi.org/10.1007/978-3-319-21690-4_24","title":"Abstract Interpretation with Higher-Dimensional Ellipsoids and Conic Extrapolation","display_name":"Abstract Interpretation with Higher-Dimensional Ellipsoids and Conic Extrapolation","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2130096835","doi":"https://doi.org/10.1007/978-3-319-21690-4_24","mag":"2130096835"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-21690-4_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-21690-4_24","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1509.08700","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001450373","display_name":"Mendes Oulamara","orcid":"https://orcid.org/0000-0001-6704-5025"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I4210162280","display_name":"Laboratoire de G\u00e9ologie de l\u2019\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/05vg9cw43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210148025","https://openalex.org/I4210162280"]},{"id":"https://openalex.org/I4210103330","display_name":"\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/01dp7jr64","country_code":"BI","type":"education","lineage":["https://openalex.org/I4210103330"]}],"countries":["BI","FR"],"is_corresponding":true,"raw_author_name":"Mendes Oulamara","raw_affiliation_strings":["\u00c9cole Normale Sup\u00e9rieure, 45 Rue D\u2019Ulm, 75005, Paris, France","ENS-PSL - \u00c9cole normale sup\u00e9rieure - Paris (45, Rue d'Ulm - 75230 Paris cedex 05 - France)"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Normale Sup\u00e9rieure, 45 Rue D\u2019Ulm, 75005, Paris, France","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210103330","https://openalex.org/I4210162280"]},{"raw_affiliation_string":"ENS-PSL - \u00c9cole normale sup\u00e9rieure - Paris (45, Rue d'Ulm - 75230 Paris cedex 05 - France)","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061182324","display_name":"Arnaud Venet","orcid":null},"institutions":[{"id":"https://openalex.org/I1280536761","display_name":"Ames Research Center","ror":"https://ror.org/02acart68","country_code":"US","type":"facility","lineage":["https://openalex.org/I1280536761","https://openalex.org/I4210124779"]},{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arnaud J. Venet","raw_affiliation_strings":["NASA Ames Research Center, Carnegie Mellon University, Moffett Field, Mountain View, CA, 94035, USA","CMU - Carnegie Mellon University [Pittsburgh] (5000 Forbes Ave,  Pittsburgh, PA 15213 - United States)","ARC - NASA Ames Research Center (Moffett Field, California 94035 - United States)"],"affiliations":[{"raw_affiliation_string":"NASA Ames Research Center, Carnegie Mellon University, Moffett Field, Mountain View, CA, 94035, USA","institution_ids":["https://openalex.org/I1280536761","https://openalex.org/I74973139"]},{"raw_affiliation_string":"CMU - Carnegie Mellon University [Pittsburgh] (5000 Forbes Ave,  Pittsburgh, PA 15213 - United States)","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"ARC - NASA Ames Research Center (Moffett Field, California 94035 - United States)","institution_ids":["https://openalex.org/I1280536761"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001450373"],"corresponding_institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210103330","https://openalex.org/I4210162280"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3129,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.87652405,"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":"415","last_page":"430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"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/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9990000128746033,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/abstract-interpretation","display_name":"Abstract interpretation","score":0.77205491065979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6518296599388123},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.648552656173706},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6131591796875},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.6069612503051758},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5418819189071655},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49118658900260925},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.44645795226097107},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4448172450065613},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4405282735824585},{"id":"https://openalex.org/keywords/static-analysis","display_name":"Static analysis","score":0.43562692403793335},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4127252399921417},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3513137102127075},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3346794843673706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27060574293136597},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19750285148620605},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14903941750526428},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12444549798965454},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11892339587211609}],"concepts":[{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.77205491065979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6518296599388123},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.648552656173706},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6131591796875},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.6069612503051758},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5418819189071655},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49118658900260925},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.44645795226097107},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4448172450065613},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4405282735824585},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.43562692403793335},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4127252399921417},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3513137102127075},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3346794843673706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27060574293136597},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19750285148620605},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14903941750526428},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12444549798965454},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11892339587211609},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-319-21690-4_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-21690-4_24","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:1509.08700","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.08700","pdf_url":"https://arxiv.org/pdf/1509.08700","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:HAL:hal-01202346v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01202346","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":"http://i-cav.org/2015/","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1509.08700","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.08700","pdf_url":"https://arxiv.org/pdf/1509.08700","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W331525950","https://openalex.org/W653291882","https://openalex.org/W1518247129","https://openalex.org/W1568307856","https://openalex.org/W1590002045","https://openalex.org/W1608230613","https://openalex.org/W2012819062","https://openalex.org/W2016043649","https://openalex.org/W2043100293","https://openalex.org/W2084875723","https://openalex.org/W2116680678","https://openalex.org/W2134699237","https://openalex.org/W2146292423","https://openalex.org/W2281788661","https://openalex.org/W2899598218","https://openalex.org/W2912522929","https://openalex.org/W4245996536","https://openalex.org/W6608082022","https://openalex.org/W6811264906"],"related_works":["https://openalex.org/W2020973245","https://openalex.org/W1508927144","https://openalex.org/W4232090216","https://openalex.org/W2968467529","https://openalex.org/W2966015578","https://openalex.org/W111020846","https://openalex.org/W3099266052","https://openalex.org/W1480767630","https://openalex.org/W3184046748","https://openalex.org/W2465429106"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}