{"id":"https://openalex.org/W1585311559","doi":"https://doi.org/10.1007/bfb0000468","title":"Abstract interpretation of algebraic polynomial systems (Extended abstract)","display_name":"Abstract interpretation of algebraic polynomial systems (Extended abstract)","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1585311559","doi":"https://doi.org/10.1007/bfb0000468","mag":"1585311559"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0000468","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0000468","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":["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/A5007730604","display_name":"Patrick Cousot","orcid":"https://orcid.org/0000-0003-0101-9953"},"institutions":[{"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"]},{"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"]}],"countries":["BI","FR"],"is_corresponding":true,"raw_author_name":"Patrick Cousot","raw_affiliation_strings":["LIENS, \u00e9cole Normale Sup\u00e9rieure, 45 rue d'Ulm, 75230, Paris cedex 05, France","\u00c9cole Normale sup\u00e9rieure"],"affiliations":[{"raw_affiliation_string":"LIENS, \u00e9cole Normale Sup\u00e9rieure, 45 rue d'Ulm, 75230, Paris cedex 05, France","institution_ids":["https://openalex.org/I29607241"]},{"raw_affiliation_string":"\u00c9cole Normale sup\u00e9rieure","institution_ids":["https://openalex.org/I4210103330","https://openalex.org/I29607241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015957810","display_name":"Radhia Cousot","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Radhia Cousot","raw_affiliation_strings":["LIX, CNRS & \u00e9cole Polytechnique, 91140, Palaiseau cedex, France","CNRS & \u00e9cole Polytechnique"],"affiliations":[{"raw_affiliation_string":"LIX, CNRS & \u00e9cole Polytechnique, 91140, Palaiseau cedex, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS & \u00e9cole Polytechnique","institution_ids":["https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007730604"],"corresponding_institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210103330"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.29,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.7972973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"138","last_page":"154"},"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":0.9994999766349792,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9947999715805054,"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/interpretation","display_name":"Interpretation (philosophy)","score":0.7536710500717163},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.6512532830238342},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.6183772087097168},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5990786552429199},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5450870990753174},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5108723044395447},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4706254005432129},{"id":"https://openalex.org/keywords/formal-grammar","display_name":"Formal grammar","score":0.46739301085472107},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.45368966460227966},{"id":"https://openalex.org/keywords/abstract-algebra","display_name":"Abstract algebra","score":0.44201990962028503},{"id":"https://openalex.org/keywords/formal-language","display_name":"Formal language","score":0.4174347519874573},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.31958431005477905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29897165298461914},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.24848932027816772},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19734185934066772},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16543573141098022}],"concepts":[{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.7536710500717163},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.6512532830238342},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6183772087097168},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5990786552429199},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5450870990753174},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5108723044395447},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4706254005432129},{"id":"https://openalex.org/C171553443","wikidata":"https://www.wikidata.org/wiki/Q373045","display_name":"Formal grammar","level":3,"score":0.46739301085472107},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.45368966460227966},{"id":"https://openalex.org/C185701065","wikidata":"https://www.wikidata.org/wiki/Q159943","display_name":"Abstract algebra","level":3,"score":0.44201990962028503},{"id":"https://openalex.org/C146072743","wikidata":"https://www.wikidata.org/wiki/Q192161","display_name":"Formal language","level":2,"score":0.4174347519874573},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.31958431005477905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29897165298461914},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.24848932027816772},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19734185934066772},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16543573141098022},{"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/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bfb0000468","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0000468","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:CiteSeerX.psu:10.1.1.139.2695","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.2695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.di.ens.fr/~cousot/publications.www/AMAST-97-LNCS1349-PDF.pdf.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W76842558","https://openalex.org/W1491878511","https://openalex.org/W1516382534","https://openalex.org/W1553630156","https://openalex.org/W1597882998","https://openalex.org/W1977541831","https://openalex.org/W2000118875","https://openalex.org/W2014764321","https://openalex.org/W2043100293","https://openalex.org/W2049641148","https://openalex.org/W2050407768","https://openalex.org/W2059287145","https://openalex.org/W2085146967","https://openalex.org/W2088126145","https://openalex.org/W2132661148","https://openalex.org/W2154929064","https://openalex.org/W2156580025","https://openalex.org/W2157390113","https://openalex.org/W2313227953","https://openalex.org/W2402104012","https://openalex.org/W2613278123","https://openalex.org/W2913989085","https://openalex.org/W2914762105","https://openalex.org/W3021158638","https://openalex.org/W4239862070","https://openalex.org/W4388310106","https://openalex.org/W6630831646"],"related_works":["https://openalex.org/W1527504055","https://openalex.org/W2122055265","https://openalex.org/W1584800877","https://openalex.org/W600362779","https://openalex.org/W2810800559","https://openalex.org/W2077912109","https://openalex.org/W1501183951","https://openalex.org/W2046912551","https://openalex.org/W1595588535","https://openalex.org/W2149900475"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}