{"id":"https://openalex.org/W4406221896","doi":"https://doi.org/10.1145/3704839","title":"Maximal Simplification of Polyhedral Reductions","display_name":"Maximal Simplification of Polyhedral Reductions","publication_year":2025,"publication_date":"2025-01-07","ids":{"openalex":"https://openalex.org/W4406221896","doi":"https://doi.org/10.1145/3704839"},"language":"en","primary_location":{"id":"doi:10.1145/3704839","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3704839","pdf_url":null,"source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1145/3704839","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081818101","display_name":"Louis Narmour","orcid":"https://orcid.org/0009-0009-3298-5282"},"institutions":[{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]},{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Louis Narmour","raw_affiliation_strings":["Colorado State University, Fort Collins, USA","University of Rennes, Rennes, France"],"raw_orcid":"https://orcid.org/0009-0009-3298-5282","affiliations":[{"raw_affiliation_string":"Colorado State University, Fort Collins, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"University of Rennes, Rennes, France","institution_ids":["https://openalex.org/I56067802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001146686","display_name":"Tomofumi Yuki","orcid":"https://orcid.org/0000-0002-5737-6178"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tomofumi Yuki","raw_affiliation_strings":["Unaffiliated, Yokohama, Japan"],"raw_orcid":"https://orcid.org/0000-0002-5737-6178","affiliations":[{"raw_affiliation_string":"Unaffiliated, Yokohama, Japan","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047953886","display_name":"Sanjay Rajopadhye","orcid":"https://orcid.org/0000-0002-4246-6066"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sanjay Rajopadhye","raw_affiliation_strings":["Colorado State University, Fort Collins, USA"],"raw_orcid":"https://orcid.org/0000-0002-4246-6066","affiliations":[{"raw_affiliation_string":"Colorado State University, Fort Collins, USA","institution_ids":["https://openalex.org/I92446798"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00215664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"POPL","first_page":"67","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9968000054359436,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9968000054359436,"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/T10222","display_name":"Genomics and Chromatin Dynamics","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31816399097442627}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31816399097442627}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3704839","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3704839","pdf_url":null,"source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3704839","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3704839","pdf_url":null,"source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5784826610","display_name":"Collaborative Research: FMitF: Track I: Game Theoretic Updates for Network and Cloud Functions","funder_award_id":"2318970","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W152682494","https://openalex.org/W1501627602","https://openalex.org/W1512982031","https://openalex.org/W1515448847","https://openalex.org/W1519538706","https://openalex.org/W1558370006","https://openalex.org/W1602850305","https://openalex.org/W1794500012","https://openalex.org/W1933228350","https://openalex.org/W1975277392","https://openalex.org/W1989020100","https://openalex.org/W2000191287","https://openalex.org/W2001307989","https://openalex.org/W2008677874","https://openalex.org/W2025763720","https://openalex.org/W2026129786","https://openalex.org/W2028067303","https://openalex.org/W2032391783","https://openalex.org/W2054697783","https://openalex.org/W2055804526","https://openalex.org/W2075509753","https://openalex.org/W2085376012","https://openalex.org/W2086561953","https://openalex.org/W2096883982","https://openalex.org/W2097699872","https://openalex.org/W2113514701","https://openalex.org/W2119609467","https://openalex.org/W2137813581","https://openalex.org/W2152506070","https://openalex.org/W2296218291","https://openalex.org/W2296463846","https://openalex.org/W2336017145","https://openalex.org/W2761619692","https://openalex.org/W2943049588","https://openalex.org/W2983923412","https://openalex.org/W3118873362","https://openalex.org/W3140673835","https://openalex.org/W4233419560","https://openalex.org/W4246263814","https://openalex.org/W4246631920","https://openalex.org/W4248944837","https://openalex.org/W4253778559","https://openalex.org/W4253945282","https://openalex.org/W4254018622","https://openalex.org/W4388667345","https://openalex.org/W4400064739","https://openalex.org/W6959643953","https://openalex.org/W6968318004"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Reductions":[0],"combine":[1],"collections":[2,15],"of":[3,16,130,156,169,184],"input":[4,21],"values":[5],"with":[6,44,177],"an":[7,29,142,166],"associative":[8],"and":[9,147,179],"often":[10,40],"commutative":[11,125],"operator":[12],"to":[13,24,31,65,116,121,175],"produce":[14],"results.":[17],"When":[18],"the":[19,110,128,136,154],"same":[20],"value":[22],"contributes":[23],"multiple":[25],"outputs,":[26],"there":[27],"is":[28,76,133,161],"opportunity":[30],"reuse":[32],"partial":[33],"results,":[34],"enabling":[35],"reduction":[36,144],"simplification":[37,120],".":[38],"Simplification":[39],"produces":[41],"a":[42,54,59,181],"program":[43],"lower":[45],"asymptotic":[46,107],"complexity.":[47],"Typical":[48],"compiler":[49],"optimizations":[50],"yield,":[51],"at":[52],"best,":[53],"constant":[55],"fold":[56],"speedup,":[57],"but":[58,89],"complexity":[60,67,108],"improvement":[61],"from,":[62],"say,":[63],"cubic":[64],"quadratic":[66],"yields":[68],"unbounded":[69],"speedup":[70],"for":[71,186],"sufficiently":[72],"large":[73],"problems.":[74],"It":[75],"well":[77],"known":[78],"that":[79,138,162],"reductions":[80],"in":[81,109],"polyhedral":[82],"programs":[83],"may":[84],"be":[85],"simplified":[86,111],"automatically":[87],",":[88],"previous":[90],"methods":[91],"cannot":[92],"exploit":[93],"all":[94],"available":[95],"reuse.":[96],"This":[97],"paper":[98],"resolves":[99],"this":[100,178],"long-standing":[101],"open":[102],"problem,":[103],"thereby":[104],"attaining":[105],"minimal":[106],"program.":[112],"We":[113,171],"propose":[114],"extensions":[115],"prior":[117],"work":[118],"on":[119],"support":[122],"any":[123],"independent":[124],"reduction.":[126],"At":[127],"heart":[129],"our":[131],"approach":[132],"piece-wise":[134,159],"simplification,":[135],"notion":[137],"we":[139],"can":[140],"split":[141],"arbitrary":[143],"into":[145],"pieces":[146,185],"then":[148],"independently":[149],"simplify":[150],"each":[151],"piece.":[152],"However,":[153],"difficulty":[155],"using":[157],"such":[158],"transformations":[160],"they":[163],"typically":[164],"involve":[165],"infinite":[167],"number":[168,183],"choices.":[170],"give":[172],"constructive":[173],"proofs":[174],"deal":[176],"select":[180],"finite":[182],"simplification.":[187]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}