{"id":"https://openalex.org/W2963835510","doi":"https://doi.org/10.1007/978-3-642-33125-1_7","title":"Inference of Polynomial Invariants for Imperative Programs: A Farewell to Gr\u00f6bner Bases","display_name":"Inference of Polynomial Invariants for Imperative Programs: A Farewell to Gr\u00f6bner Bases","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2963835510","doi":"https://doi.org/10.1007/978-3-642-33125-1_7","mag":"2963835510"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-33125-1_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-33125-1_7","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/A5026717554","display_name":"David Cachera","orcid":null},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I2802519937","display_name":"Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires","ror":"https://ror.org/00myn0z94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I2802519937","https://openalex.org/I28221208","https://openalex.org/I4210127572","https://openalex.org/I4210159245","https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"David Cachera","raw_affiliation_strings":["ENS Cachan Bretagne, IRISA, Rennes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENS Cachan Bretagne, IRISA, Rennes, France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I2802519937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031317457","display_name":"Thomas Wiben Jensen","orcid":"https://orcid.org/0000-0003-1428-4414"},"institutions":[{"id":"https://openalex.org/I4210133778","display_name":"Centre Inria de l'Universit\u00e9 de Rennes","ror":"https://ror.org/04040yw90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210133778"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thomas Jensen","raw_affiliation_strings":["Inria Rennes - Bretagne Atlantique, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria Rennes - Bretagne Atlantique, France","institution_ids":["https://openalex.org/I4210133778"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006103389","display_name":"Arnaud Jobin","orcid":null},"institutions":[{"id":"https://openalex.org/I2802519937","display_name":"Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires","ror":"https://ror.org/00myn0z94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I2802519937","https://openalex.org/I28221208","https://openalex.org/I4210127572","https://openalex.org/I4210159245","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Arnaud Jobin","raw_affiliation_strings":["Universit\u00e9 Rennes 1, IRISA, Rennes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Rennes 1, IRISA, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I2802519937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052118946","display_name":"Florent Kirchner","orcid":null},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210085861","display_name":"Laboratoire d'Int\u00e9gration des Syst\u00e8mes et des Technologies","ror":"https://ror.org/000dbcc61","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210085861","https://openalex.org/I4210117989"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Florent Kirchner","raw_affiliation_strings":["CEA, LIST, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEA, LIST, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210085861","https://openalex.org/I2738703131"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026717554"],"corresponding_institution_ids":["https://openalex.org/I11559806","https://openalex.org/I2802519937"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.9982,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.96208622,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"58","last_page":"74"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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":0.9995999932289124,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9980999827384949,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9900000095367432,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.7016012668609619},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6200711131095886},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6156593561172485},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.6133342981338501},{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.5845845341682434},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5210354328155518},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5106993317604065},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.47965720295906067},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.4641827940940857},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4591822326183319},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4310312271118164},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3931879699230194},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38373106718063354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34909725189208984},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3276609778404236},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.26191771030426025},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15130764245986938},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10004279017448425}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7016012668609619},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6200711131095886},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6156593561172485},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.6133342981338501},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.5845845341682434},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5210354328155518},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5106993317604065},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.47965720295906067},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.4641827940940857},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4591822326183319},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4310312271118164},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3931879699230194},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38373106718063354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34909725189208984},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3276609778404236},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.26191771030426025},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15130764245986938},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10004279017448425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-33125-1_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-33125-1_7","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W64656188","https://openalex.org/W95702547","https://openalex.org/W151011738","https://openalex.org/W1480794577","https://openalex.org/W1483321687","https://openalex.org/W1532216203","https://openalex.org/W1536482693","https://openalex.org/W1563374593","https://openalex.org/W1568478782","https://openalex.org/W1571848803","https://openalex.org/W1579433101","https://openalex.org/W1580599742","https://openalex.org/W1605914607","https://openalex.org/W1803091134","https://openalex.org/W1904856735","https://openalex.org/W1971043610","https://openalex.org/W1997562124","https://openalex.org/W2003141394","https://openalex.org/W2031373197","https://openalex.org/W2043100293","https://openalex.org/W2096035734","https://openalex.org/W2098045685","https://openalex.org/W2099629271","https://openalex.org/W2103953153","https://openalex.org/W2132661148","https://openalex.org/W2178148299","https://openalex.org/W2278228976","https://openalex.org/W2319466955","https://openalex.org/W2963835510","https://openalex.org/W4246575101"],"related_works":["https://openalex.org/W4315487898","https://openalex.org/W2088904828","https://openalex.org/W617989196","https://openalex.org/W2032199336","https://openalex.org/W2051058708","https://openalex.org/W2904183727","https://openalex.org/W2347282152","https://openalex.org/W2039575089","https://openalex.org/W2140321063","https://openalex.org/W4385351587"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2025-10-10T00:00:00"}