{"id":"https://openalex.org/W2338841991","doi":"https://doi.org/10.1007/978-3-319-40648-0_24","title":"A Modular Way to Reason About Iteration","display_name":"A Modular Way to Reason About Iteration","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2338841991","doi":"https://doi.org/10.1007/978-3-319-40648-0_24","mag":"2338841991"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-40648-0_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-40648-0_24","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/A5084552310","display_name":"Jean-Christophe Filli\u00e2tre","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119692","display_name":"Numerical Method (China)","ror":"https://ror.org/02ns8zp42","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210119692"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"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/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]}],"countries":["CN","FR"],"is_corresponding":true,"raw_author_name":"Jean-Christophe Filli\u00e2tre","raw_affiliation_strings":["INRIA Saclay \u2013 \u00cele-de-France, 91893, Orsay, France","Laboratoire de Recherche en Informatique, University of Paris-Sud, CNRS, 91405, Orsay, France","Formally Verified Programs,   Certified Tools and Numerical Computations","Laboratoire de Recherche en Informatique"],"affiliations":[{"raw_affiliation_string":"INRIA Saclay \u2013 \u00cele-de-France, 91893, Orsay, France","institution_ids":["https://openalex.org/I4210126360"]},{"raw_affiliation_string":"Laboratoire de Recherche en Informatique, University of Paris-Sud, CNRS, 91405, Orsay, France","institution_ids":["https://openalex.org/I4210144804","https://openalex.org/I102197404","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Formally Verified Programs,   Certified Tools and Numerical Computations","institution_ids":["https://openalex.org/I4210119692"]},{"raw_affiliation_string":"Laboratoire de Recherche en Informatique","institution_ids":["https://openalex.org/I4210144804"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071076709","display_name":"M\u00e1rio Pereira","orcid":"https://orcid.org/0000-0003-4234-5376"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210119692","display_name":"Numerical Method (China)","ror":"https://ror.org/02ns8zp42","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210119692"]},{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"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"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"M\u00e1rio Pereira","raw_affiliation_strings":["INRIA Saclay \u2013 \u00cele-de-France, 91893, Orsay, France","Laboratoire de Recherche en Informatique, University of Paris-Sud, CNRS, 91405, Orsay, France","Formally Verified Programs,   Certified Tools and Numerical Computations","Laboratoire de Recherche en Informatique"],"affiliations":[{"raw_affiliation_string":"INRIA Saclay \u2013 \u00cele-de-France, 91893, Orsay, France","institution_ids":["https://openalex.org/I4210126360"]},{"raw_affiliation_string":"Laboratoire de Recherche en Informatique, University of Paris-Sud, CNRS, 91405, Orsay, France","institution_ids":["https://openalex.org/I4210144804","https://openalex.org/I102197404","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Formally Verified Programs,   Certified Tools and Numerical Computations","institution_ids":["https://openalex.org/I4210119692"]},{"raw_affiliation_string":"Laboratoire de Recherche en Informatique","institution_ids":["https://openalex.org/I4210144804"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084552310"],"corresponding_institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I4210119692","https://openalex.org/I4210126360","https://openalex.org/I4210144804"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3704,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.89092678,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"322","last_page":"336"},"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":0.9995999932289124,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9957000017166138,"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/computer-science","display_name":"Computer science","score":0.794143557548523},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.7874572277069092},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.670547604560852},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.5745206475257874},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5532019138336182},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.505003035068512},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.49084073305130005}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.794143557548523},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.7874572277069092},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.670547604560852},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.5745206475257874},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5532019138336182},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.505003035068512},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.49084073305130005},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-40648-0_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-40648-0_24","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":19,"referenced_works":["https://openalex.org/W1482794","https://openalex.org/W34093435","https://openalex.org/W1557839159","https://openalex.org/W1634257591","https://openalex.org/W1820726602","https://openalex.org/W1868410565","https://openalex.org/W1967019306","https://openalex.org/W2080590705","https://openalex.org/W2081629039","https://openalex.org/W2106229114","https://openalex.org/W2123470495","https://openalex.org/W2125995229","https://openalex.org/W2267469130","https://openalex.org/W2293253015","https://openalex.org/W2295923951","https://openalex.org/W2318327664","https://openalex.org/W3022311845","https://openalex.org/W4245524452","https://openalex.org/W4247464325"],"related_works":["https://openalex.org/W2120447654","https://openalex.org/W2977179488","https://openalex.org/W2144453115","https://openalex.org/W2128223750","https://openalex.org/W4238532390","https://openalex.org/W2188872161","https://openalex.org/W2002978035","https://openalex.org/W2961779879","https://openalex.org/W2311164424","https://openalex.org/W2348534359"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
