{"id":"https://openalex.org/W1512669332","doi":"https://doi.org/10.1007/11587514_15","title":"Induction Variable Analysis with Delayed Abstractions","display_name":"Induction Variable Analysis with Delayed Abstractions","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1512669332","doi":"https://doi.org/10.1007/11587514_15","mag":"1512669332"},"language":"en","primary_location":{"id":"doi:10.1007/11587514_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11587514_15","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/A5090443795","display_name":"Sebastian Pop","orcid":"https://orcid.org/0000-0002-5296-4640"},"institutions":[{"id":"https://openalex.org/I1311921367","display_name":"Advanced Micro Devices (Canada)","ror":"https://ror.org/02yh0k313","country_code":"CA","type":"company","lineage":["https://openalex.org/I1311921367","https://openalex.org/I4210137977"]},{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["CA","FR"],"is_corresponding":true,"raw_author_name":"Sebastian Pop","raw_affiliation_strings":["CRI, Mines Paris, Fontainebleau, France","\u00c9cole des Mines de Paris","Advanced Micro Devices [Austin]"],"affiliations":[{"raw_affiliation_string":"CRI, Mines Paris, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"\u00c9cole des Mines de Paris","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"Advanced Micro Devices [Austin]","institution_ids":["https://openalex.org/I1311921367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063162788","display_name":"Albert Cohen","orcid":"https://orcid.org/0000-0002-8866-5343"},"institutions":[{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Albert Cohen","raw_affiliation_strings":["ALCHEMY group, INRIA Futurs, Orsay, France","Parall\u00e9lisme de Kahn Synchrone"],"affiliations":[{"raw_affiliation_string":"ALCHEMY group, INRIA Futurs, Orsay, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Parall\u00e9lisme de Kahn Synchrone","institution_ids":["https://openalex.org/I4210144566"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044058673","display_name":"Georges-Andr\u00e9 Silber","orcid":null},"institutions":[{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Georges-Andr\u00e9 Silber","raw_affiliation_strings":["CRI, Mines Paris, Fontainebleau, France","\u00c9cole des Mines de Paris"],"affiliations":[{"raw_affiliation_string":"CRI, Mines Paris, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"\u00c9cole des Mines de Paris","institution_ids":["https://openalex.org/I70768539"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090443795"],"corresponding_institution_ids":["https://openalex.org/I1311921367","https://openalex.org/I70768539"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.4103,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.92882562,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"218","last_page":"232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9991999864578247,"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":0.9952999949455261,"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/computer-science","display_name":"Computer science","score":0.8263564705848694},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.7235445380210876},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6799248456954956},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6570769548416138},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.6325741410255432},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6204677820205688},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5886222124099731},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49093368649482727},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4178585410118103},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.31162261962890625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12423625588417053}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8263564705848694},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.7235445380210876},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6799248456954956},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6570769548416138},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.6325741410255432},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6204677820205688},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5886222124099731},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49093368649482727},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4178585410118103},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.31162261962890625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12423625588417053},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1007/11587514_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11587514_15","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:10.1.1.127.1313","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.1313","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cri.ensmp.fr/people/pop/papers/2005-05-delayed.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.555.6892","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.555.6892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cri.ensmp.fr/~silber/docs/PopS2005a.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.59.6889","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.59.6889","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-rocq.inria.fr/~acohen/publications/PCS05.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.59.7860","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.59.7860","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cri.ensmp.fr/classement/doc/A-369.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.59.9696","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.59.9696","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cri.ensmp.fr/classement/doc/A-367.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.60.7","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.60.7","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cri.ensmp.fr/classement/doc/A-371.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.80.3794","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.80.3794","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cri.ensmp.fr/doc/A-367.ps","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01257294v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01257294","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"hipeac # (HiPEAC), 2005, Barcelona, Spain. pp.218--232","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W26762536","https://openalex.org/W107748845","https://openalex.org/W1491178396","https://openalex.org/W1494930385","https://openalex.org/W1500117749","https://openalex.org/W1530458829","https://openalex.org/W1573046885","https://openalex.org/W1686420892","https://openalex.org/W1726736548","https://openalex.org/W1837593827","https://openalex.org/W1961794994","https://openalex.org/W1970114292","https://openalex.org/W1973325907","https://openalex.org/W1982205631","https://openalex.org/W1989989606","https://openalex.org/W1999346024","https://openalex.org/W2018636274","https://openalex.org/W2046105247","https://openalex.org/W2047937237","https://openalex.org/W2062429328","https://openalex.org/W2065971634","https://openalex.org/W2068562880","https://openalex.org/W2078314687","https://openalex.org/W2099404643","https://openalex.org/W2112482891","https://openalex.org/W2114067856","https://openalex.org/W2132331020","https://openalex.org/W2142481893","https://openalex.org/W2148597203","https://openalex.org/W2149998063","https://openalex.org/W2153185479","https://openalex.org/W2159507384","https://openalex.org/W2161065509","https://openalex.org/W2293235079","https://openalex.org/W2561675875","https://openalex.org/W2914010818","https://openalex.org/W2914485742","https://openalex.org/W2987077139","https://openalex.org/W4246166885","https://openalex.org/W4300721217"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W2745001401","https://openalex.org/W4321353415","https://openalex.org/W3096456556","https://openalex.org/W4240253816","https://openalex.org/W2130974462","https://openalex.org/W2028665553","https://openalex.org/W2086519370","https://openalex.org/W972276598","https://openalex.org/W2087343574"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}