{"id":"https://openalex.org/W2006232221","doi":"https://doi.org/10.1145/1596550.1596559","title":"Causal commutative arrows and their optimization","display_name":"Causal commutative arrows and their optimization","publication_year":2009,"publication_date":"2009-08-31","ids":{"openalex":"https://openalex.org/W2006232221","doi":"https://doi.org/10.1145/1596550.1596559","mag":"2006232221"},"language":"en","primary_location":{"id":"doi:10.1145/1596550.1596559","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1596550.1596559","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 SIGPLAN international conference on Functional programming","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/A5091417002","display_name":"Hai Liu","orcid":"https://orcid.org/0000-0002-2616-7437"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hai Liu","raw_affiliation_strings":["Yale University, New Haven, CT, USA"],"affiliations":[{"raw_affiliation_string":"Yale University, New Haven, CT, USA","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102081473","display_name":"Eric Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Cheng","raw_affiliation_strings":["Yale University, New Haven, CT, USA"],"affiliations":[{"raw_affiliation_string":"Yale University, New Haven, CT, USA","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113456823","display_name":"Paul Hudak","orcid":null},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Hudak","raw_affiliation_strings":["Yale University, New Haven, CT, USA"],"affiliations":[{"raw_affiliation_string":"Yale University, New Haven, CT, USA","institution_ids":["https://openalex.org/I32971472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091417002"],"corresponding_institution_ids":["https://openalex.org/I32971472"],"apc_list":null,"apc_paid":null,"fwci":10.3617,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.9823932,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"35","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9962000250816345,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.987500011920929,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7305264472961426},{"id":"https://openalex.org/keywords/haskell","display_name":"Haskell","score":0.5983534455299377},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.570773184299469},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5471165180206299},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5309785008430481},{"id":"https://openalex.org/keywords/arrow","display_name":"Arrow","score":0.4473968744277954},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.4196755886077881},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4094071090221405},{"id":"https://openalex.org/keywords/functional-programming","display_name":"Functional programming","score":0.36806824803352356},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35569360852241516},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3262842297554016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17125734686851501},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09829175472259521}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7305264472961426},{"id":"https://openalex.org/C2780624054","wikidata":"https://www.wikidata.org/wiki/Q34010","display_name":"Haskell","level":3,"score":0.5983534455299377},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.570773184299469},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5471165180206299},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5309785008430481},{"id":"https://openalex.org/C2780339515","wikidata":"https://www.wikidata.org/wiki/Q3074698","display_name":"Arrow","level":2,"score":0.4473968744277954},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.4196755886077881},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4094071090221405},{"id":"https://openalex.org/C42383842","wikidata":"https://www.wikidata.org/wiki/Q193076","display_name":"Functional programming","level":2,"score":0.36806824803352356},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35569360852241516},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3262842297554016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17125734686851501},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09829175472259521}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1596550.1596559","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1596550.1596559","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 SIGPLAN international conference on Functional programming","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.222","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.222","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.yale.edu/homes/hl293/download/icfp066-liu.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6700000166893005}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308943","display_name":"Microsoft Research","ror":"https://ror.org/00d0nc645"},{"id":"https://openalex.org/F4320322554","display_name":"Javna Agencija za Raziskovalno Dejavnost RS","ror":"https://ror.org/059bp8k51"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W25531113","https://openalex.org/W144505997","https://openalex.org/W1509606339","https://openalex.org/W1517761527","https://openalex.org/W1531323685","https://openalex.org/W1556536463","https://openalex.org/W1564934805","https://openalex.org/W1568192366","https://openalex.org/W1578608903","https://openalex.org/W1579416470","https://openalex.org/W1605309821","https://openalex.org/W1605626978","https://openalex.org/W1663179985","https://openalex.org/W1743640533","https://openalex.org/W1839902311","https://openalex.org/W1875562881","https://openalex.org/W1968464751","https://openalex.org/W1995969393","https://openalex.org/W1997143185","https://openalex.org/W2005082107","https://openalex.org/W2026049208","https://openalex.org/W2035115145","https://openalex.org/W2049600101","https://openalex.org/W2050029209","https://openalex.org/W2064138295","https://openalex.org/W2066390918","https://openalex.org/W2070203924","https://openalex.org/W2075773711","https://openalex.org/W2078019303","https://openalex.org/W2079512738","https://openalex.org/W2081124914","https://openalex.org/W2102357532","https://openalex.org/W2106805101","https://openalex.org/W2116435685","https://openalex.org/W2116813111","https://openalex.org/W2128612657","https://openalex.org/W2154521708","https://openalex.org/W2187433725","https://openalex.org/W2499340346","https://openalex.org/W2561675875","https://openalex.org/W2618896829","https://openalex.org/W4230729748","https://openalex.org/W4285719527","https://openalex.org/W6605886930","https://openalex.org/W6639557239","https://openalex.org/W6686951086"],"related_works":["https://openalex.org/W2112263414","https://openalex.org/W3004782279","https://openalex.org/W1602185604","https://openalex.org/W2028779182","https://openalex.org/W4242678340","https://openalex.org/W2140654465","https://openalex.org/W2129253059","https://openalex.org/W1488646450","https://openalex.org/W2095136535","https://openalex.org/W1988422976"],"abstract_inverted_index":{"Arrows":[0],"are":[1,14,21,82],"a":[2,22,38,49,104,120,175,188],"popular":[3],"form":[4,34,177,184],"of":[5,51,74,99,106,109,128,144,174,206,222,237,242],"abstract":[6,75],"computation.":[7],"Being":[8],"more":[9,15,147],"general":[10],"than":[11,239],"monads,":[12],"they":[13],"broadly":[16],"applicable,":[17],"and":[18,28,61,118,164,215],"in":[19,48,69,146,201,213,235],"particular":[20],"good":[23],"abstraction":[24],"for":[25,37,178],"signal":[26],"processing":[27],"dataflow":[29],"computations.":[30,111],"Most":[31],"notably,":[32],"arrows":[33,81,101,162],"the":[35,72,97,125,133,154,172,220,230],"basis":[36],"domain":[39],"specific":[40],"language":[41],"called":[42,159,180],"Yampa,":[43],"which":[44],"has":[45],"been":[46],"used":[47],"variety":[50],"concrete":[52,84],"applications,":[53],"including":[54],"animation,":[55],"robotics,":[56],"sound":[57],"synthesis,":[58],"control":[59],"systems,":[60],"graphical":[62],"user":[63],"interfaces.":[64],"Our":[65,168],"primary":[66],"interest":[67],"is":[68,171],"better":[70],"understanding":[71],"class":[73,143],"computations":[76,145],"captured":[77],"by":[78],"Yampa.":[79],"Unfortunately,":[80],"not":[83],"enough":[85],"to":[86,153],"do":[87],"this":[88,93,142,211],"with":[89,227],"precision.":[90],"To":[91,140],"remedy":[92],"situation":[94],"we":[95,149,191],"introduce":[96],"concept":[98],"commutative":[100,138,161,182],"that":[102,123,197,218],"capture":[103],"kind":[105],"non-interference":[107],"property":[108],"concurrent":[110],"We":[112,131,208],"also":[113],"add":[114],"an":[115,151,194],"init":[116],"operator,":[117],"identify":[119],"crucial":[121],"law":[122],"captures":[124],"causal":[126,137,160,181],"nature":[127],"arrow":[129],"effects.":[130],"call":[132],"resulting":[134],"computational":[135],"model":[136],"arrows.":[139,207],"study":[141,165],"detail,":[148],"define":[150],"extension":[152],"simply":[155],"typed":[156],"lambda":[157],"calculus":[158],"(CCA),":[163],"its":[166],"properties.":[167],"key":[169],"contribution":[170],"identification":[173],"normal":[176,183],"CCA":[179],"(CCNF).":[185],"By":[186],"defining":[187],"normalization":[189],"procedure":[190],"have":[192,209],"developed":[193],"optimization":[195],"strategy":[196],"yields":[198],"dramatic":[199],"improvements":[200],"performance":[202],"over":[203],"conventional":[204],"implementations":[205],"implemented":[210],"technique":[212],"Haskell,":[214],"conducted":[216],"benchmarks":[217],"validate":[219],"effectiveness":[221],"our":[223],"approach.":[224],"When":[225],"combined":[226],"stream":[228],"fusion,":[229],"overall":[231],"methodology":[232],"can":[233],"result":[234],"speed-ups":[236],"greater":[238],"two":[240],"orders":[241],"magnitude.":[243]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}