{"id":"https://openalex.org/W2038057200","doi":"https://doi.org/10.1145/1141277.1141668","title":"Inner approximation of distance constraints with existential quantification of parameters","display_name":"Inner approximation of distance constraints with existential quantification of parameters","publication_year":2006,"publication_date":"2006-04-23","ids":{"openalex":"https://openalex.org/W2038057200","doi":"https://doi.org/10.1145/1141277.1141668","mag":"2038057200"},"language":"en","primary_location":{"id":"doi:10.1145/1141277.1141668","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1141277.1141668","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 ACM symposium on Applied computing","raw_type":"proceedings-article"},"type":"article","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/A5011361645","display_name":"Carlos Grand\u00f3n","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Carlos Grand\u00f3n","raw_affiliation_strings":["Projet COPRIN, INRIA (Sophia-Antipolis)","Projet COPRIN, INRIA (Sophia-Antipolis)#TAB#"],"affiliations":[{"raw_affiliation_string":"Projet COPRIN, INRIA (Sophia-Antipolis)","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Projet COPRIN, INRIA (Sophia-Antipolis)#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060692753","display_name":"Alexandre Goldsztejn","orcid":"https://orcid.org/0000-0002-6561-5888"},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexandre Goldsztejn","raw_affiliation_strings":["University of Nice-Sophia-Antipolis","University of Nice Sophia Antipolis#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Nice-Sophia-Antipolis","institution_ids":["https://openalex.org/I201841394"]},{"raw_affiliation_string":"University of Nice Sophia Antipolis#TAB#","institution_ids":["https://openalex.org/I201841394"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011361645"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":0.3018,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62407553,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1660","last_page":"1661"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9884999990463257,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9641000032424927,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.8689540028572083},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6893489360809326},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6358978748321533},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.560994029045105},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5187109112739563},{"id":"https://openalex.org/keywords/simplicity","display_name":"Simplicity","score":0.4844929873943329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4735930263996124},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.47314274311065674},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4498516619205475},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4376164674758911},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43402013182640076},{"id":"https://openalex.org/keywords/existentialism","display_name":"Existentialism","score":0.4330357611179352},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40418267250061035},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25474444031715393},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1366649866104126},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10125091671943665},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07672688364982605}],"concepts":[{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.8689540028572083},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6893489360809326},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6358978748321533},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.560994029045105},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5187109112739563},{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.4844929873943329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4735930263996124},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.47314274311065674},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4498516619205475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4376164674758911},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43402013182640076},{"id":"https://openalex.org/C127882523","wikidata":"https://www.wikidata.org/wiki/Q38066","display_name":"Existentialism","level":2,"score":0.4330357611179352},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40418267250061035},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25474444031715393},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1366649866104126},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10125091671943665},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07672688364982605},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1141277.1141668","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1141277.1141668","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 ACM symposium on Applied computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5400000214576721,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W19427536","https://openalex.org/W1990426442","https://openalex.org/W2016056788","https://openalex.org/W2341668857","https://openalex.org/W2538044669","https://openalex.org/W2614095108"],"related_works":["https://openalex.org/W2368019753","https://openalex.org/W2333930193","https://openalex.org/W2737356002","https://openalex.org/W2246241526","https://openalex.org/W4301122218","https://openalex.org/W2374150061","https://openalex.org/W2081340182","https://openalex.org/W2369703001","https://openalex.org/W2372323577","https://openalex.org/W2321432690"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"and":[3,46],"compares":[4],"two":[5,85,89],"methods":[6,90],"for":[7],"checking":[8],"if":[9],"a":[10,54],"box":[11],"is":[12],"included":[13],"inside":[14],"the":[15,63,88],"solution":[16],"set":[17],"of":[18,25,43],"an":[19],"equality":[20],"constraint":[21],"with":[22,69,97],"existential":[23],"quantification":[24],"its":[26],"parameters.":[27],"We":[28,81],"focus":[29],"on":[30,53,59,67,84],"distance":[31],"constraints,":[32],"where":[33],"each":[34],"existentially":[35],"quantified":[36],"parameter":[37],"has":[38],"only":[39],"one":[40],"occurrence,":[41],"because":[42],"their":[44,47],"usefulness":[45],"simplicity.":[48],"The":[49],"first":[50],"method":[51,65],"relies":[52,66],"specific":[55],"quantifier":[56],"elimination":[57],"based":[58],"geometric":[60],"considerations":[61],"whereas":[62],"second":[64],"computations":[68],"generalized":[70,100],"intervals":[71,101],"(interval":[72],"whose":[73],"bounds":[74],"are":[75,102],"not":[76],"constrained":[77],"to":[78],"be":[79],"ordered).":[80],"show":[82],"that":[83],"dimensions":[86],"problems,":[87],"yield":[91],"equivalent":[92],"results.":[93],"However,":[94],"when":[95],"dealing":[96],"higher":[98],"dimensions,":[99],"more":[103],"efficient.":[104]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
