{"id":"https://openalex.org/W2080841971","doi":"https://doi.org/10.1145/1181775.1181789","title":"Interpolation for data structures","display_name":"Interpolation for data structures","publication_year":2006,"publication_date":"2006-11-05","ids":{"openalex":"https://openalex.org/W2080841971","doi":"https://doi.org/10.1145/1181775.1181789","mag":"2080841971"},"language":"en","primary_location":{"id":"doi:10.1145/1181775.1181789","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1181775.1181789","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th ACM SIGSOFT international symposium on Foundations of software engineering","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/A5003856856","display_name":"Deepak Kapur","orcid":"https://orcid.org/0000-0003-2464-2895"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Deepak Kapur","raw_affiliation_strings":["University of New Mexico","University of New Mexico;"],"affiliations":[{"raw_affiliation_string":"University of New Mexico","institution_ids":[]},{"raw_affiliation_string":"University of New Mexico;","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081010207","display_name":"Rupak Majumdar","orcid":"https://orcid.org/0000-0003-2136-0542"},"institutions":[{"id":"https://openalex.org/I4210139270","display_name":"UtopiaCompression (United States)","ror":"https://ror.org/051d4q284","country_code":"US","type":"company","lineage":["https://openalex.org/I4210139270"]},{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rupak Majumdar","raw_affiliation_strings":["UC Los Angeles","UC Los Angeles#TAB#"],"affiliations":[{"raw_affiliation_string":"UC Los Angeles","institution_ids":["https://openalex.org/I4210139270"]},{"raw_affiliation_string":"UC Los Angeles#TAB#","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068925113","display_name":"Calogero G. Zarba","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Calogero G. Zarba","raw_affiliation_strings":["Universit\u00e4t des Saarlandes"],"affiliations":[{"raw_affiliation_string":"Universit\u00e4t des Saarlandes","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003856856"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.067,"has_fulltext":false,"cited_by_count":105,"citation_normalized_percentile":{"value":0.96755227,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"105","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/T10142","display_name":"Formal Methods in Verification","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/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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.7608233690261841},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6934400796890259},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.6819940805435181},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.5775060653686523},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.5754239559173584},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5442469716072083},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4697176516056061},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.45465871691703796},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44982028007507324},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.34832489490509033},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3386760354042053},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23383191227912903},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17363741993904114}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7608233690261841},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6934400796890259},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.6819940805435181},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.5775060653686523},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5754239559173584},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5442469716072083},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4697176516056061},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.45465871691703796},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44982028007507324},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.34832489490509033},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3386760354042053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23383191227912903},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17363741993904114},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1181775.1181789","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1181775.1181789","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th ACM SIGSOFT international symposium on Foundations of software engineering","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.136.3796","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.136.3796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ucla.edu/~rupak/Papers/Interpolation_for_data_structures.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.150.3404","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.3404","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.unm.edu/~kapur/mypapers/Interpolation_for_data_structures.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W106929792","https://openalex.org/W1497571013","https://openalex.org/W1506404239","https://openalex.org/W1510368738","https://openalex.org/W1510845095","https://openalex.org/W1531054827","https://openalex.org/W1531082202","https://openalex.org/W1553142094","https://openalex.org/W1554618854","https://openalex.org/W1562922633","https://openalex.org/W1570753066","https://openalex.org/W1570783318","https://openalex.org/W1603036658","https://openalex.org/W1816792955","https://openalex.org/W1968898611","https://openalex.org/W1988441831","https://openalex.org/W1991837261","https://openalex.org/W1993836075","https://openalex.org/W2048280348","https://openalex.org/W2055477538","https://openalex.org/W2064811181","https://openalex.org/W2080769562","https://openalex.org/W2082000355","https://openalex.org/W2084294613","https://openalex.org/W2095182415","https://openalex.org/W2098244894","https://openalex.org/W2104715607","https://openalex.org/W2109576922","https://openalex.org/W2110050316","https://openalex.org/W2114368612","https://openalex.org/W2126160338","https://openalex.org/W2129874841","https://openalex.org/W2147832077","https://openalex.org/W2151463894","https://openalex.org/W2156076209","https://openalex.org/W2158395308","https://openalex.org/W2170145744","https://openalex.org/W2171685273","https://openalex.org/W2295903414","https://openalex.org/W3023216518","https://openalex.org/W3039529476","https://openalex.org/W4212792638","https://openalex.org/W4239516903","https://openalex.org/W6629660608","https://openalex.org/W6630683095","https://openalex.org/W6632011479","https://openalex.org/W6634000834","https://openalex.org/W6638370795","https://openalex.org/W6683354071","https://openalex.org/W6780119148","https://openalex.org/W7043254181"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W1976205134","https://openalex.org/W2381570729","https://openalex.org/W4248336175","https://openalex.org/W3009369890","https://openalex.org/W2031260042","https://openalex.org/W2391445434","https://openalex.org/W4312490297","https://openalex.org/W3197458363"],"abstract_inverted_index":{"Interpolation":[0],"based":[1,102],"automatic":[2],"abstraction":[3],"is":[4,74],"a":[5,30],"powerful":[6],"and":[7,16,57,89],"robust":[8],"technique":[9],"for":[10,34,37,51,63,67,92],"the":[11,52,60,78,85],"automated":[12],"analysis":[13],"of":[14,29,32,54,76,80,87,110],"hardware":[15],"software":[17,42],"systems.":[18],"Its":[19],"use":[20],"has":[21],"however":[22],"been":[23],"limited":[24],"to":[25,48,84,104,107],"control-dominated":[26],"applications":[27],"because":[28],"lack":[31],"algorithms":[33],"computing":[35],"interpolants":[36,50],"data":[38,69,82,115],"structures":[39,83],"used":[40],"in":[41],"programs.":[43],"We":[44],"present":[45],"efficient":[46,94],"procedures":[47,66,97],"construct":[49],"theories":[53,79,86],"arrays,":[55],"sets,":[56],"multisets":[58],"using":[59],"reduction":[61],"approach":[62,72],"obtaining":[64],"decision":[65,96],"complex":[68],"structures.":[70,116],"The":[71],"taken":[73],"that":[75,112],"reducing":[77],"such":[81],"equality":[88],"linear":[90],"arithmetic":[91],"which":[93],"interpolating":[95],"exist.":[98],"This":[99],"enables":[100],"interpolation":[101],"techniques":[103],"be":[105],"applied":[106],"proving":[108],"properties":[109],"programs":[111],"manipulate":[113],"these":[114]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":10}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}