{"id":"https://openalex.org/W1598046199","doi":"https://doi.org/10.1007/3-540-61736-1_51","title":"Formal validation of data parallel programs: Introducing the assertional approach","display_name":"Formal validation of data parallel programs: Introducing the assertional approach","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1598046199","doi":"https://doi.org/10.1007/3-540-61736-1_51","mag":"1598046199"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-61736-1_51","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-61736-1_51","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/A5020271777","display_name":"Luc Boug\u00e9","orcid":"https://orcid.org/0000-0002-5510-4443"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"L. Boug\u00e9","raw_affiliation_strings":["LIP, ENS Lyon, 46 all\u00e9e d'Italie, F-69364, Lyon cedex 07, France","LIP ENS Lyon, Lyon Cedex 07, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIP, ENS Lyon, 46 all\u00e9e d'Italie, F-69364, Lyon cedex 07, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210144566"]},{"raw_affiliation_string":"LIP ENS Lyon, Lyon Cedex 07, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026717554","display_name":"David Cachera","orcid":null},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Cachera","raw_affiliation_strings":["LIP, ENS Lyon, 46 all\u00e9e d'Italie, F-69364, Lyon cedex 07, France","LIP ENS Lyon, Lyon Cedex 07, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIP, ENS Lyon, 46 all\u00e9e d'Italie, F-69364, Lyon cedex 07, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210144566"]},{"raw_affiliation_string":"LIP ENS Lyon, Lyon Cedex 07, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011325054","display_name":"Yann Le Guyadec","orcid":null},"institutions":[{"id":"https://openalex.org/I12449238","display_name":"Universit\u00e9 d'Orl\u00e9ans","ror":"https://ror.org/014zrew76","country_code":"FR","type":"education","lineage":["https://openalex.org/I12449238"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Y. Le Guyadec","raw_affiliation_strings":["LIFO, Universit\u00e9 d'Orl\u00e9ans, 4 rue L\u00e9onard de Vinci, BP 6759, F-45067, Orl\u00e9ans cedex 2, France","LIFO - Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans Cedex 2, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIFO, Universit\u00e9 d'Orl\u00e9ans, 4 rue L\u00e9onard de Vinci, BP 6759, F-45067, Orl\u00e9ans cedex 2, France","institution_ids":["https://openalex.org/I12449238"]},{"raw_affiliation_string":"LIFO - Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans Cedex 2, France","institution_ids":["https://openalex.org/I12449238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041105488","display_name":"Gil Utard","orcid":"https://orcid.org/0000-0003-3081-6185"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"G. Utard","raw_affiliation_strings":["LIP, ENS Lyon, 46 all\u00e9e d'Italie, F-69364, Lyon cedex 07, France","LIP ENS Lyon, Lyon Cedex 07, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIP, ENS Lyon, 46 all\u00e9e d'Italie, F-69364, Lyon cedex 07, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210144566"]},{"raw_affiliation_string":"LIP ENS Lyon, Lyon Cedex 07, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071102771","display_name":"Bernard Virot","orcid":null},"institutions":[{"id":"https://openalex.org/I12449238","display_name":"Universit\u00e9 d'Orl\u00e9ans","ror":"https://ror.org/014zrew76","country_code":"FR","type":"education","lineage":["https://openalex.org/I12449238"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Virot","raw_affiliation_strings":["LIFO, Universit\u00e9 d'Orl\u00e9ans, 4 rue L\u00e9onard de Vinci, BP 6759, F-45067, Orl\u00e9ans cedex 2, France","LIFO - Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans Cedex 2, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIFO, Universit\u00e9 d'Orl\u00e9ans, 4 rue L\u00e9onard de Vinci, BP 6759, F-45067, Orl\u00e9ans cedex 2, France","institution_ids":["https://openalex.org/I12449238"]},{"raw_affiliation_string":"LIFO - Universit\u00e9 d\u2019Orl\u00e9ans, Orl\u00e9ans Cedex 2, France","institution_ids":["https://openalex.org/I12449238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8703,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71306691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"252","last_page":"281"},"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":0.9997000098228455,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9994000196456909,"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/computer-science","display_name":"Computer science","score":0.8467004299163818},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5949923396110535},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.529778003692627},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.515077531337738},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4909127354621887},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.47900956869125366},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4663715958595276},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3976656496524811},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18714269995689392},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13246360421180725}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8467004299163818},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5949923396110535},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.529778003692627},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.515077531337738},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4909127354621887},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47900956869125366},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4663715958595276},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3976656496524811},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18714269995689392},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13246360421180725},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-61736-1_51","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-61736-1_51","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W93556905","https://openalex.org/W1481018260","https://openalex.org/W1505492495","https://openalex.org/W1526435074","https://openalex.org/W1965662337","https://openalex.org/W1967810725","https://openalex.org/W1978609011","https://openalex.org/W2022332701","https://openalex.org/W2038188815","https://openalex.org/W2051249047","https://openalex.org/W2056023867","https://openalex.org/W2080877160","https://openalex.org/W2111706174","https://openalex.org/W2967565264","https://openalex.org/W2987907651","https://openalex.org/W3146075203"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2121424666","https://openalex.org/W2144385241","https://openalex.org/W4301250310","https://openalex.org/W4300101996","https://openalex.org/W2055420561","https://openalex.org/W2067700950","https://openalex.org/W1669998927","https://openalex.org/W4253593777"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}