{"id":"https://openalex.org/W1191262899","doi":"https://doi.org/10.1145/2743016","title":"Polyhedral AST Generation Is More Than Scanning Polyhedra","display_name":"Polyhedral AST Generation Is More Than Scanning Polyhedra","publication_year":2015,"publication_date":"2015-07-15","ids":{"openalex":"https://openalex.org/W1191262899","doi":"https://doi.org/10.1145/2743016","mag":"1191262899"},"language":"en","primary_location":{"id":"doi:10.1145/2743016","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2743016","pdf_url":null,"source":{"id":"https://openalex.org/S41449414","display_name":"ACM Transactions on Programming Languages and Systems","issn_l":"0164-0925","issn":["0164-0925","1558-4593"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Programming Languages and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/handle/123456789/497238","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055618037","display_name":"Tobias Grosser","orcid":"https://orcid.org/0000-0003-3874-6003"},"institutions":[{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Tobias Grosser","raw_affiliation_strings":["INRIA and \u00c9COLE NORMALE SUP\u00c9RIEURE, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA and \u00c9COLE NORMALE SUP\u00c9RIEURE, Paris, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055650706","display_name":"Sven Verdoolaege","orcid":"https://orcid.org/0000-0003-3179-2736"},"institutions":[{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sven Verdoolaege","raw_affiliation_strings":["INRIA, \u00c9COLE NORMALE SUP\u00c9RIEURE and KU Leuven, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA, \u00c9COLE NORMALE SUP\u00c9RIEURE and KU Leuven, Paris, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063162788","display_name":"Albert Cohen","orcid":"https://orcid.org/0000-0002-8866-5343"},"institutions":[{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Albert Cohen","raw_affiliation_strings":["INRIA and \u00c9COLE NORMALE SUP\u00c9RIEURE, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA and \u00c9COLE NORMALE SUP\u00c9RIEURE, Paris, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.8831,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.9843696,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"37","issue":"4","first_page":"1","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.802092432975769},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.5888722538948059},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.573951244354248},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.5243963599205017},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.49252280592918396},{"id":"https://openalex.org/keywords/code-generation","display_name":"Code generation","score":0.43886128067970276},{"id":"https://openalex.org/keywords/control-flow","display_name":"Control flow","score":0.4378150701522827},{"id":"https://openalex.org/keywords/loop-unrolling","display_name":"Loop unrolling","score":0.4342743158340454},{"id":"https://openalex.org/keywords/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.4332043528556824},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40992259979248047},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.33920422196388245},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3199360966682434},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.2922164499759674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1781996190547943},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.16533657908439636}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.802092432975769},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.5888722538948059},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.573951244354248},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5243963599205017},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.49252280592918396},{"id":"https://openalex.org/C133162039","wikidata":"https://www.wikidata.org/wiki/Q1061077","display_name":"Code generation","level":3,"score":0.43886128067970276},{"id":"https://openalex.org/C160191386","wikidata":"https://www.wikidata.org/wiki/Q868299","display_name":"Control flow","level":2,"score":0.4378150701522827},{"id":"https://openalex.org/C76970557","wikidata":"https://www.wikidata.org/wiki/Q1869750","display_name":"Loop unrolling","level":3,"score":0.4342743158340454},{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.4332043528556824},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40992259979248047},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.33920422196388245},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3199360966682434},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.2922164499759674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1781996190547943},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.16533657908439636},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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/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/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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:10.1145/2743016","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2743016","pdf_url":null,"source":{"id":"https://openalex.org/S41449414","display_name":"ACM Transactions on Programming Languages and Systems","issn_l":"0164-0925","issn":["0164-0925","1558-4593"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Programming Languages and Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01257239v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01257239","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Programming Languages and Systems (TOPLAS), 2015, 37 (4), ⟨10.1145/2743016⟩","raw_type":"Journal articles"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/497238","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/497238","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"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":"ACM Transactions on Programming Languages and Systems, vol. 37 (4), Art.No. 12","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/497238","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/497238","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"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":"ACM Transactions on Programming Languages and Systems, vol. 37 (4), Art.No. 12","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W152682494","https://openalex.org/W288065879","https://openalex.org/W1486289306","https://openalex.org/W1512982031","https://openalex.org/W1533186609","https://openalex.org/W1558370006","https://openalex.org/W1561247983","https://openalex.org/W1567153395","https://openalex.org/W1776224102","https://openalex.org/W1794500012","https://openalex.org/W1970141743","https://openalex.org/W1973359136","https://openalex.org/W1973532523","https://openalex.org/W1991009705","https://openalex.org/W1995270665","https://openalex.org/W2003937683","https://openalex.org/W2025278624","https://openalex.org/W2026220934","https://openalex.org/W2028067303","https://openalex.org/W2031775479","https://openalex.org/W2034761517","https://openalex.org/W2036055954","https://openalex.org/W2046877387","https://openalex.org/W2060221201","https://openalex.org/W2068555872","https://openalex.org/W2070961300","https://openalex.org/W2071110673","https://openalex.org/W2075073133","https://openalex.org/W2077143534","https://openalex.org/W2096962071","https://openalex.org/W2102976251","https://openalex.org/W2123286830","https://openalex.org/W2126464777","https://openalex.org/W2137152633","https://openalex.org/W2139143992","https://openalex.org/W2151764765","https://openalex.org/W2154078685","https://openalex.org/W2158958889","https://openalex.org/W2168412050","https://openalex.org/W2340604309","https://openalex.org/W2519113851","https://openalex.org/W2605317797","https://openalex.org/W2983923412","https://openalex.org/W3203568064","https://openalex.org/W4232060423","https://openalex.org/W4255560897"],"related_works":["https://openalex.org/W2148967747","https://openalex.org/W4256534760","https://openalex.org/W3008658471","https://openalex.org/W2916043681","https://openalex.org/W4297923607","https://openalex.org/W2341851659","https://openalex.org/W2963029392","https://openalex.org/W2164503864","https://openalex.org/W1797228912","https://openalex.org/W2144344516"],"abstract_inverted_index":{"Abstract":[0],"mathematical":[1,36],"representations":[2],"such":[3],"as":[4,66],"integer":[5],"polyhedra":[6],"have":[7,74],"been":[8],"shown":[9],"to":[10,13,19,33,39,50,52,64,95,132,163,179,208,215,253,286,294,308],"be":[11,58],"useful":[12],"precisely":[14],"analyze":[15],"computational":[16],"kernels":[17,126],"and":[18,149,190,193,202,247,261],"express":[20],"complex":[21,84,100,164,288],"loop":[22],"transformations.":[23,234],"Such":[24,43],"transformations":[25,67,101,290],"rely":[26],"on":[27,302],"abstract":[28],"syntax":[29],"tree":[30],"(AST)":[31],"generators":[32,46,73],"convert":[34],"the":[35,48,116,119,134,156,180,198,226,254,271,292],"representation":[37],"back":[38],"an":[40],"imperative":[41],"program.":[42],"generic":[44,304],"AST":[45,72,157,171,217,230,250,272,281,305],"avoid":[47],"need":[49,293],"resort":[51],"transformation-specific":[53],"code":[54,121,297],"generators,":[55,298],"which":[56,224,257],"may":[57,93],"very":[59],"costly":[60],"or":[61,92,105],"technically":[62],"difficult":[63],"develop":[65],"become":[68],"more":[69,83],"complex.":[70],"Existing":[71],"proven":[75],"their":[76,161],"effectiveness,":[77],"but":[78,299],"they":[79,88,111,141,151,258],"hit":[80],"limitations":[81],"in":[82],"scenarios.":[85],"Specifically,":[86],"(1)":[87],"do":[89],"not":[90],"support":[91,114,144,239],"fail":[94],"generate":[96,216],"control":[97,154,209,269],"flow":[98,210],"for":[99,115,145,197,232,240],"using":[102],"piecewise":[103,191,221],"schedules":[104],"mappings":[106],"involving":[107],"modulo":[108],"arithmetic;":[109],"(2)":[110],"offer":[112,142],"limited":[113],"specialization":[117,241,248],"of":[118,137,183,200,228,249,280],"generated":[120],"exposing":[122],"compact,":[123],"straightline,":[124],"vectorizable":[125],"with":[127,238,266],"high":[128],"arithmetic":[129],"intensity":[130],"necessary":[131],"exploit":[133],"peak":[135],"performance":[136],"modern":[138],"hardware;":[139],"(3)":[140],"no":[143],"memory":[146],"layout":[147],"transformations;":[148],"(4)":[150],"provide":[152],"insufficient":[153],"over":[155,270],"generation":[158,172,273],"strategy,":[159],"preventing":[160],"application":[162],"domain-specific":[165,289],"optimizations.":[166],"We":[167,235],"present":[168,284],"a":[169,303,309],"new":[170,195],"approach":[173],"that":[174],"extends":[175],"classical":[176],"polyhedral":[177,243],"scanning":[178],"full":[181],"generality":[182],"Presburger":[184],"arithmetic,":[185],"including":[186],"existentially":[187],"quantified":[188],"variables":[189],"schedules,":[192],"introduce":[194],"optimizations":[196],"detection":[199],"components":[201],"shifted":[203],"strides.":[204],"Not":[205],"limiting":[206],"ourselves":[207],"generation,":[211,282],"we":[212,262,283],"expose":[213],"functionality":[214],"expressions":[218,251],"from":[219],"arbitrary":[220],"quasi-affine":[222],"expressions,":[223],"enables":[225],"use":[227],"our":[229],"generator":[231,306],"data-layout":[233],"complement":[236],"this":[237,264,277],"by":[242],"unrolling,":[244],"user-directed":[245],"versioning,":[246],"according":[252],"location":[255],"at":[256],"are":[259],"generated,":[260],"complete":[263],"work":[265],"fine-grained":[267],"user":[268],"strategies":[274],"used.":[275],"Using":[276],"generalized":[278],"idea":[279],"how":[285],"implement":[287],"without":[291],"write":[295],"specialized":[296],"instead":[300],"relying":[301],"parametrized":[307],"specific":[310],"problem":[311],"domain.":[312]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}