{"id":"https://openalex.org/W1535070383","doi":"https://doi.org/10.1007/11814771_6","title":"Pitfalls of a Full Floating-Point Proof: Example on the Formal Proof of the Veltkamp/Dekker Algorithms","display_name":"Pitfalls of a Full Floating-Point Proof: Example on the Formal Proof of the Veltkamp/Dekker Algorithms","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1535070383","doi":"https://doi.org/10.1007/11814771_6","mag":"1535070383"},"language":"en","primary_location":{"id":"doi:10.1007/11814771_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11814771_6","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":"conference-paper","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/A5031775383","display_name":"Sylvie Boldo","orcid":"https://orcid.org/0000-0002-1970-3019"},"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/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"]},{"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sylvie Boldo","raw_affiliation_strings":["INRIA Futurs \u2013 PCRI, LRI, B\u00e2t. 490, Universit\u00e9 Paris Sud, 91405, Orsay Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Futurs \u2013 PCRI, LRI, B\u00e2t. 490, Universit\u00e9 Paris Sud, 91405, Orsay Cedex, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1326498283","https://openalex.org/I4210144804"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031775383"],"corresponding_institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1326498283","https://openalex.org/I4210144804"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8832,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.66623015,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"52","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/arithmetic-underflow","display_name":"Arithmetic underflow","score":0.9278485774993896},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.587271511554718},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5109637975692749},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.4891112446784973},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4768068492412567},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.44387537240982056},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.44257792830467224},{"id":"https://openalex.org/keywords/formal-proof","display_name":"Formal proof","score":0.437153697013855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42609351873397827},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.38427358865737915},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3284461498260498},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.223503977060318},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07266363501548767}],"concepts":[{"id":"https://openalex.org/C3265923","wikidata":"https://www.wikidata.org/wiki/Q669129","display_name":"Arithmetic underflow","level":2,"score":0.9278485774993896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.587271511554718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5109637975692749},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.4891112446784973},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4768068492412567},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.44387537240982056},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.44257792830467224},{"id":"https://openalex.org/C94461902","wikidata":"https://www.wikidata.org/wiki/Q2762418","display_name":"Formal proof","level":3,"score":0.437153697013855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42609351873397827},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.38427358865737915},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3284461498260498},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.223503977060318},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07266363501548767},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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:10.1007/11814771_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11814771_6","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":21,"referenced_works":["https://openalex.org/W174799390","https://openalex.org/W581104972","https://openalex.org/W1500495637","https://openalex.org/W1509799206","https://openalex.org/W1566914742","https://openalex.org/W1595501494","https://openalex.org/W1778289469","https://openalex.org/W1968165559","https://openalex.org/W1968834151","https://openalex.org/W1980855257","https://openalex.org/W2012407419","https://openalex.org/W2074590072","https://openalex.org/W2084570579","https://openalex.org/W2099508351","https://openalex.org/W2100817446","https://openalex.org/W2118891797","https://openalex.org/W2119352997","https://openalex.org/W2122627858","https://openalex.org/W2155673213","https://openalex.org/W2204310803","https://openalex.org/W4234128184"],"related_works":["https://openalex.org/W2156774177","https://openalex.org/W1553523118","https://openalex.org/W2182501133","https://openalex.org/W2163593765","https://openalex.org/W2288224894","https://openalex.org/W2738437680","https://openalex.org/W2762011242","https://openalex.org/W2186262220","https://openalex.org/W1436021108","https://openalex.org/W4245068234"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}