{"id":"https://openalex.org/W2148656187","doi":"https://doi.org/10.1142/s0129626402000951","title":"COSTING NESTED ARRAY CODES","display_name":"COSTING NESTED ARRAY CODES","publication_year":2002,"publication_date":"2002-06-01","ids":{"openalex":"https://openalex.org/W2148656187","doi":"https://doi.org/10.1142/s0129626402000951","mag":"2148656187"},"language":"en","primary_location":{"id":"doi:10.1142/s0129626402000951","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626402000951","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Processing Letters","raw_type":"journal-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/A5075877021","display_name":"Roman Lechtchinsky","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"ROMAN LECHTCHINSKY","raw_affiliation_strings":["ISTI, Technische Universti\u00e4t Berlin,  Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"ISTI, Technische Universti\u00e4t Berlin,  Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070087274","display_name":"Manuel M. T. Chakravarty","orcid":null},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"MANUEL M. T. CHAKRAVARTY","raw_affiliation_strings":["CSE, University of New South Wales,  Sydney, Australia"],"affiliations":[{"raw_affiliation_string":"CSE, University of New South Wales,  Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089112216","display_name":"Gabriele Keller","orcid":"https://orcid.org/0000-0003-1442-5387"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"GABRIELE KELLER","raw_affiliation_strings":["CSE, University of New South Wales,  Sydney, Australia"],"affiliations":[{"raw_affiliation_string":"CSE, University of New South Wales,  Sydney, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075877021"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":1.2789,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.83858942,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"12","issue":"02","first_page":"249","last_page":"266"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","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":0.9950000047683716,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9936000108718872,"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/flattening","display_name":"Flattening","score":0.715538740158081},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.707341730594635},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5671620965003967},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5171122550964355},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.5170751214027405},{"id":"https://openalex.org/keywords/processor-array","display_name":"Processor array","score":0.509837806224823},{"id":"https://openalex.org/keywords/nested-loop-join","display_name":"Nested loop join","score":0.48704794049263},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.48577407002449036},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4654655456542969},{"id":"https://openalex.org/keywords/array-data-structure","display_name":"Array data structure","score":0.45176440477371216},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4125916361808777},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41224151849746704},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39001426100730896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2435895800590515},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.21512636542320251},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.16895613074302673}],"concepts":[{"id":"https://openalex.org/C19444555","wikidata":"https://www.wikidata.org/wiki/Q212750","display_name":"Flattening","level":2,"score":0.715538740158081},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.707341730594635},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5671620965003967},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5171122550964355},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.5170751214027405},{"id":"https://openalex.org/C2776189500","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Processor array","level":2,"score":0.509837806224823},{"id":"https://openalex.org/C1306188","wikidata":"https://www.wikidata.org/wiki/Q4060687","display_name":"Nested loop join","level":2,"score":0.48704794049263},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.48577407002449036},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4654655456542969},{"id":"https://openalex.org/C146064661","wikidata":"https://www.wikidata.org/wiki/Q186152","display_name":"Array data structure","level":2,"score":0.45176440477371216},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4125916361808777},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41224151849746704},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39001426100730896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2435895800590515},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.21512636542320251},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.16895613074302673},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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":2,"locations":[{"id":"doi:10.1142/s0129626402000951","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626402000951","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.16.6807","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.6807","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.unsw.edu.au/~chak/papers/costs.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2031889887","https://openalex.org/W2052184002","https://openalex.org/W2066450039","https://openalex.org/W2101565274","https://openalex.org/W2436525433","https://openalex.org/W2914153741"],"related_works":["https://openalex.org/W2077497702","https://openalex.org/W1985440756","https://openalex.org/W2023237626","https://openalex.org/W2129360402","https://openalex.org/W2092360205","https://openalex.org/W4252244880","https://openalex.org/W2040704463","https://openalex.org/W2638232067","https://openalex.org/W2293212274","https://openalex.org/W57167696"],"abstract_inverted_index":{"We":[0],"discuss":[1],"a":[2,33,65,96],"language-based":[3],"cost":[4],"model":[5],"for":[6,105],"array":[7,91,100,134],"programs":[8,20,38,119,135],"built":[9],"on":[10,69,80],"the":[11,45,73,77,81,85,89,109,126,151,156],"notions":[12],"of":[13,44,76,88,98,153,160],"work":[14],"complexity":[15,87],"and":[16,28,123],"parallel":[17],"depth.":[18],"The":[19],"operate":[21],"over":[22,51,57],"data":[23,137],"structures":[24,138],"comprising":[25],"nested":[26,52,90],"arrays":[27,53,61,122,140],"recursive":[29,145],"product-sum":[30,146],"types.":[31,147],"In":[32,125],"purely":[34],"functional":[35],"setting,":[36],"such":[37],"can":[39],"be":[40],"implemented":[41],"by":[42,155],"way":[43],"flattening":[46,82,107],"transformation":[47,83],"that":[48],"converts":[49],"codes":[50],"into":[54],"vectorised":[55],"code":[56],"flat":[58],"arrays.":[59],"Flat":[60],"lend":[62],"themselves":[63],"to":[64,118,133],"particularly":[66],"efficient":[67],"implementation":[68],"standard":[70],"hardware,":[71],"but":[72],"overall":[74],"efficiency":[75],"approach":[78],"depends":[79],"preserving":[84],"asymptotic":[86,110],"codes.":[92],"Blelloch":[93],"has":[94],"characterised":[95],"class":[97],"first-order":[99],"programs,":[101,104],"called":[102],"contained":[103],"which":[106],"preserves":[108],"depth":[111],"complexity.":[112],"However,":[113],"his":[114],"result":[115,132],"is":[116],"restricted":[117],"processing":[120,136],"only":[121],"tuples.":[124],"present":[127],"paper,":[128],"we":[129,149],"extend":[130],"Blelloch's":[131],"containing":[139],"as":[141,143],"well":[142],"arbitrary":[144],"Moreover,":[148],"replace":[150],"notion":[152],"containment":[154],"more":[157],"general":[158],"concept":[159],"fold":[161],"programs.":[162]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}