{"id":"https://openalex.org/W2147518469","doi":"https://doi.org/10.1145/1140335.1140357","title":"Collection analysis for Horn clause programs","display_name":"Collection analysis for Horn clause programs","publication_year":2006,"publication_date":"2006-07-10","ids":{"openalex":"https://openalex.org/W2147518469","doi":"https://doi.org/10.1145/1140335.1140357","mag":"2147518469"},"language":"en","primary_location":{"id":"doi:10.1145/1140335.1140357","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1140335.1140357","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 8th ACM SIGPLAN international conference on Principles and practice of declarative programming","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00167225","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018394339","display_name":"Dale Miller","orcid":"https://orcid.org/0000-0003-0274-4954"},"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"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Dale Miller","raw_affiliation_strings":["INRIA &amp; LIX, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"INRIA &amp; LIX, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018394339"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210139461"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13844465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"179","last_page":"188"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9988999962806702,"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":0.9979000091552734,"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/multiset","display_name":"Multiset","score":0.7951518297195435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6996643543243408},{"id":"https://openalex.org/keywords/horn-clause","display_name":"Horn clause","score":0.693102240562439},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6855022311210632},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.5454822182655334},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5022838115692139},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.4589162766933441},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4589139223098755},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.45698243379592896},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.424092173576355},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.41894298791885376},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.4137043058872223},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40353816747665405},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3128015697002411},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2569856643676758},{"id":"https://openalex.org/keywords/logic-programming","display_name":"Logic programming","score":0.2164125144481659}],"concepts":[{"id":"https://openalex.org/C2779623528","wikidata":"https://www.wikidata.org/wiki/Q864377","display_name":"Multiset","level":2,"score":0.7951518297195435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6996643543243408},{"id":"https://openalex.org/C189790780","wikidata":"https://www.wikidata.org/wiki/Q933932","display_name":"Horn clause","level":3,"score":0.693102240562439},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6855022311210632},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.5454822182655334},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5022838115692139},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.4589162766933441},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4589139223098755},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.45698243379592896},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.424092173576355},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.41894298791885376},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.4137043058872223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40353816747665405},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3128015697002411},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2569856643676758},{"id":"https://openalex.org/C128838566","wikidata":"https://www.wikidata.org/wiki/Q275603","display_name":"Logic programming","level":2,"score":0.2164125144481659},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/1140335.1140357","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1140335.1140357","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 8th ACM SIGPLAN international conference on Principles and practice of declarative programming","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.212.9510","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.212.9510","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/16/72/25/PDF/ppdp06-hal.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.247.3870","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.247.3870","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0708.2230v1.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00167225v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00167225","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International ACM SIGPLAN Conference on Principles and Practice of Declarative Programming, Jul 2006, Venice, Italy","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00167225v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00167225","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International ACM SIGPLAN Conference on Principles and Practice of Declarative Programming, Jul 2006, Venice, Italy","raw_type":"Conference papers"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4099999964237213}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W2751440","https://openalex.org/W56707503","https://openalex.org/W159715351","https://openalex.org/W1526826791","https://openalex.org/W1532312848","https://openalex.org/W1579672261","https://openalex.org/W1606971543","https://openalex.org/W1628689786","https://openalex.org/W1789528896","https://openalex.org/W1988449272","https://openalex.org/W1996404651","https://openalex.org/W2013535402","https://openalex.org/W2040807747","https://openalex.org/W2043100293","https://openalex.org/W2070324762","https://openalex.org/W2093111544","https://openalex.org/W2106458801","https://openalex.org/W2107905351","https://openalex.org/W2116325485","https://openalex.org/W2131895477","https://openalex.org/W2143073089","https://openalex.org/W2145617779","https://openalex.org/W2156950788","https://openalex.org/W2394903686","https://openalex.org/W2887731058","https://openalex.org/W2911865844","https://openalex.org/W6602324999","https://openalex.org/W6606046182","https://openalex.org/W6606522490","https://openalex.org/W6638119747"],"related_works":["https://openalex.org/W2111587961","https://openalex.org/W2025838732","https://openalex.org/W2517648589","https://openalex.org/W1606129265","https://openalex.org/W2556116057","https://openalex.org/W2952741507","https://openalex.org/W2225241521","https://openalex.org/W4206427381","https://openalex.org/W2192877587","https://openalex.org/W2595865236"],"abstract_inverted_index":{"We":[0,117],"consider":[1],"approximating":[2],"data":[3],"structures":[4],"with":[5],"collections":[6],"of":[7,27,42,70,78,93,138,148],"the":[8,28,54,60,67,91,100,136,146],"items":[9,29,71,94],"that":[10,90],"they":[11,110],"contain.":[12],"For":[13,45],"examples,":[14],"lists,":[15],"binary":[16],"trees,":[17],"tuples,":[18],"etc,":[19],"can":[20,34,111,126],"be":[21,35,105,112,127],"approximated":[22],"by":[23,121],"sets":[24,92],"or":[25],"multisets":[26],"within":[30],"them.":[31],"Such":[32,102],"approximations":[33],"used":[36],"to":[37,50,88,107,132],"provide":[38],"partial":[39],"correctness":[40],"properties":[41],"logic":[43,140,144,147],"programs.":[44],"example,":[46],"one":[47,85],"might":[48],"wish":[49],"specify":[51],"than":[52],"whenever":[53],"atom":[55],"sort(t,s)":[56],"is":[57,75,135],"proved":[58],"then":[59,84],"two":[61],"lists":[62],"t":[63,96],"and":[64,97,115,129],"s":[65,74,98],"contain":[66],"same":[68],"multiset":[69],"(that":[72],"is,":[73],"a":[76,119,142],"permutation":[77],"t).":[79],"If":[80],"sorting":[81],"removes":[82],"duplicates,":[83],"would":[86],"like":[87],"infer":[89],"underlying":[95,145],"are":[99],"same.":[101],"results":[103],"could":[104],"useful":[106],"have":[108],"if":[109],"determined":[113],"statically":[114],"automatically.":[116],"present":[118],"scheme":[120,134],"which":[122],"such":[123],"collection":[124],"analysis":[125],"structured":[128],"automated.":[130],"Central":[131],"this":[133],"use":[137],"linear":[139],"as":[141],"computational":[143],"Horn":[149],"clauses":[150]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
