{"id":"https://openalex.org/W1575875253","doi":"https://doi.org/10.1007/978-3-540-71316-6_19","title":"Small Witnesses for Abstract Interpretation-Based Proofs","display_name":"Small Witnesses for Abstract Interpretation-Based Proofs","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1575875253","doi":"https://doi.org/10.1007/978-3-540-71316-6_19","mag":"1575875253"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-71316-6_19","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-71316-6_19","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-71316-6_19.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-71316-6_19.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035021429","display_name":"Fr\u00e9d\u00e9ric Besson","orcid":"https://orcid.org/0000-0001-6815-0652"},"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/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":true,"raw_author_name":"Fr\u00e9d\u00e9ric Besson","raw_affiliation_strings":["IRISA/{Inria, CNRS, Universit\u00e9 de Rennes 1}, Campus de Beaulieu, F-35042 Rennes, France","IRISA, Inria, CNRS, Universit\u00e9 de Rennes 1, Rennes, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRISA/{Inria, CNRS, Universit\u00e9 de Rennes 1}, Campus de Beaulieu, F-35042 Rennes, France","institution_ids":["https://openalex.org/I2802519937","https://openalex.org/I56067802","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRISA, Inria, CNRS, Universit\u00e9 de Rennes 1, Rennes, France#TAB#","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I1294671590","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/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/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":"Thomas Jensen","raw_affiliation_strings":["IRISA/{Inria, CNRS, Universit\u00e9 de Rennes 1}, Campus de Beaulieu, F-35042 Rennes, France","IRISA, Inria, CNRS, Universit\u00e9 de Rennes 1, Rennes, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRISA/{Inria, CNRS, Universit\u00e9 de Rennes 1}, Campus de Beaulieu, F-35042 Rennes, France","institution_ids":["https://openalex.org/I2802519937","https://openalex.org/I56067802","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRISA, Inria, CNRS, Universit\u00e9 de Rennes 1, Rennes, France#TAB#","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I1294671590","https://openalex.org/I2802519937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059700675","display_name":"Tiphaine Turpin","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/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":"Tiphaine Turpin","raw_affiliation_strings":["IRISA/{Inria, CNRS, Universit\u00e9 de Rennes 1}, Campus de Beaulieu, F-35042 Rennes, France","IRISA, Inria, CNRS, Universit\u00e9 de Rennes 1, Rennes, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRISA/{Inria, CNRS, Universit\u00e9 de Rennes 1}, Campus de Beaulieu, F-35042 Rennes, France","institution_ids":["https://openalex.org/I2802519937","https://openalex.org/I56067802","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRISA, Inria, CNRS, Universit\u00e9 de Rennes 1, Rennes, France#TAB#","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I1294671590","https://openalex.org/I2802519937"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035021429"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2802519937","https://openalex.org/I56067802"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.6009,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85479042,"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":"268","last_page":"283"},"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":0.9983000159263611,"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":0.9965000152587891,"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/witness","display_name":"Witness","score":0.9010812044143677},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8289052844047546},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6166759133338928},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.6080068945884705},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.5951941013336182},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5892349481582642},{"id":"https://openalex.org/keywords/pruning","display_name":"Pruning","score":0.5808448195457458},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5425719022750854},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4545941650867462},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.4534705579280853},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4506448209285736},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.41142863035202026},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2912304401397705},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15086546540260315},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13332390785217285}],"concepts":[{"id":"https://openalex.org/C2776900844","wikidata":"https://www.wikidata.org/wiki/Q8028383","display_name":"Witness","level":2,"score":0.9010812044143677},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8289052844047546},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6166759133338928},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.6080068945884705},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.5951941013336182},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5892349481582642},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.5808448195457458},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5425719022750854},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4545941650867462},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.4534705579280853},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4506448209285736},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.41142863035202026},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2912304401397705},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15086546540260315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13332390785217285},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-71316-6_19","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-71316-6_19","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-71316-6_19.pdf","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:10.1.1.103.3946","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.103.3946","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.irisa.fr/lande/fbesson/small_witnesses_for_abstract_interpretation.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/978-3-540-71316-6_19","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-71316-6_19","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-71316-6_19.pdf","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"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.75,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1575875253.pdf","grobid_xml":"https://content.openalex.org/works/W1575875253.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1482715091","https://openalex.org/W1508412071","https://openalex.org/W1589297860","https://openalex.org/W1637976039","https://openalex.org/W1984425270","https://openalex.org/W2016209832","https://openalex.org/W2025554746","https://openalex.org/W2028327857","https://openalex.org/W2034711041","https://openalex.org/W2043100293","https://openalex.org/W2062764376","https://openalex.org/W2084638680","https://openalex.org/W2093397547","https://openalex.org/W2114925693","https://openalex.org/W2132661148","https://openalex.org/W2151894250","https://openalex.org/W2171739510","https://openalex.org/W2612793397","https://openalex.org/W4300885858"],"related_works":["https://openalex.org/W2890518300","https://openalex.org/W2366687089","https://openalex.org/W2916043681","https://openalex.org/W2896131632","https://openalex.org/W588843504","https://openalex.org/W2382947717","https://openalex.org/W2391438543","https://openalex.org/W1844529821","https://openalex.org/W2124661962","https://openalex.org/W1973022923"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-30T09:15:22.047038","created_date":"2025-10-10T00:00:00"}