{"id":"https://openalex.org/W2112122837","doi":"https://doi.org/10.1017/s0960129504004578","title":"On proving the correctness of program transformations based on free theorems for higher-order polymorphic calculi","display_name":"On proving the correctness of program transformations based on free theorems for higher-order polymorphic calculi","publication_year":2005,"publication_date":"2005-03-14","ids":{"openalex":"https://openalex.org/W2112122837","doi":"https://doi.org/10.1017/s0960129504004578","mag":"2112122837"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129504004578","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129504004578","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://libres.uncg.edu/ir/asu/f/Johann_Patricia_2005_On_Proving_the_Correctness_of.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044007936","display_name":"Patricia Johann","orcid":"https://orcid.org/0000-0002-8075-3904"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"PATRICIA JOHANN","raw_affiliation_strings":["Department of Computer Science, Rutgers University, Camden, NJ 08102 USA Email:","Department of Computer Science, Rutgers University, Camden, NJ 08102, USA (email: pjohann@crab.rutgers.edu)#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Rutgers University, Camden, NJ 08102 USA Email:","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Computer Science, Rutgers University, Camden, NJ 08102, USA (email: pjohann@crab.rutgers.edu)#TAB#","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044007936"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":1.8268,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.87841383,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"2","first_page":"201","last_page":"229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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"}},"topics":[{"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/T10142","display_name":"Formal Methods in Verification","score":0.9894000291824341,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.98580002784729,"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/correctness","display_name":"Correctness","score":0.9216282367706299},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8658634424209595},{"id":"https://openalex.org/keywords/observational-equivalence","display_name":"Observational equivalence","score":0.7607263326644897},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5952368378639221},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5712742805480957},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5011999607086182},{"id":"https://openalex.org/keywords/program-transformation","display_name":"Program transformation","score":0.41602352261543274},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.40019023418426514},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36958858370780945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34667325019836426},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2796582579612732},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.27844011783599854},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15222954750061035}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.9216282367706299},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8658634424209595},{"id":"https://openalex.org/C2777721189","wikidata":"https://www.wikidata.org/wiki/Q17121921","display_name":"Observational equivalence","level":2,"score":0.7607263326644897},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5952368378639221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5712742805480957},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5011999607086182},{"id":"https://openalex.org/C2778361913","wikidata":"https://www.wikidata.org/wiki/Q7248437","display_name":"Program transformation","level":2,"score":0.41602352261543274},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.40019023418426514},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36958858370780945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34667325019836426},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2796582579612732},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.27844011783599854},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15222954750061035},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0960129504004578","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129504004578","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:libres.uncg.edu/19213","is_oa":true,"landing_page_url":null,"pdf_url":"http://libres.uncg.edu/ir/asu/f/Johann_Patricia_2005_On_Proving_the_Correctness_of.pdf","source":{"id":"https://openalex.org/S4306401856","display_name":"NC Digital Online Collection of Knowledge and Scholarship (The University of North Carolina at Greensboro)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169335092","host_organization_name":"University of North Carolina at Greensboro","host_organization_lineage":["https://openalex.org/I169335092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:libres.uncg.edu/19213","is_oa":true,"landing_page_url":null,"pdf_url":"http://libres.uncg.edu/ir/asu/f/Johann_Patricia_2005_On_Proving_the_Correctness_of.pdf","source":{"id":"https://openalex.org/S4306401856","display_name":"NC Digital Online Collection of Knowledge and Scholarship (The University of North Carolina at Greensboro)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169335092","host_organization_name":"University of North Carolina at Greensboro","host_organization_lineage":["https://openalex.org/I169335092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2112122837.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W9614445","https://openalex.org/W113285063","https://openalex.org/W137618863","https://openalex.org/W326743114","https://openalex.org/W1480685649","https://openalex.org/W1480753098","https://openalex.org/W1527713232","https://openalex.org/W1530632793","https://openalex.org/W1555100187","https://openalex.org/W1585299317","https://openalex.org/W1595372275","https://openalex.org/W1966981171","https://openalex.org/W1968277829","https://openalex.org/W1975580206","https://openalex.org/W1980759357","https://openalex.org/W1998095216","https://openalex.org/W2038176982","https://openalex.org/W2046213250","https://openalex.org/W2057292961","https://openalex.org/W2088982170","https://openalex.org/W2117721239","https://openalex.org/W2117818027","https://openalex.org/W2146255646","https://openalex.org/W2149412346","https://openalex.org/W2159227002"],"related_works":["https://openalex.org/W1861107327","https://openalex.org/W4312441394","https://openalex.org/W1966104371","https://openalex.org/W2014888499","https://openalex.org/W1597062518","https://openalex.org/W2467097043","https://openalex.org/W2260666108","https://openalex.org/W2057002094","https://openalex.org/W4245713008","https://openalex.org/W2112122837"],"abstract_inverted_index":{"A":[0],"number":[1],"of":[2,6,31,81,92,153,168],"program":[3,34,106,178],"transformations":[4,63,143,198],"currently":[5],"interest":[7],"can":[8,134],"be":[9,78,97,135],"derived":[10],"from":[11],"Wadler's":[12],"\u2018free":[13],"theorems\u2019":[14],"for":[15,70,103,180,195],"calculi":[16,69,200],"approximating":[17],"modern":[18],"functional":[19],"languages.":[20],"Although":[21],"delicate":[22],"but":[23],"fundamental":[24],"issues":[25,37,94],"arise":[26],"in":[27,43,48,68,155,199,212],"proving":[28],"the":[29,44,49,93,139,146,169,172,176],"correctness":[30,45,101,193],"free":[32,61,104,196],"theorems-based":[33,62,105,197],"transformations,":[35],"these":[36],"have":[38],"usually":[39],"been":[40],"left":[41],"unaddressed":[42],"proofs":[46,56,102,194],"appearing":[47],"literature.":[50],"As":[51],"a":[52,111,156],"result,":[53],"most":[54,60],"such":[55,116],"are":[57,64,73,210],"incomplete,":[58],"and":[59,89,126,163,175],"applied":[65],"to":[66,77,114,129,137,190],"programs":[67,154],"which":[71,208],"they":[72],"not":[74],"actually":[75],"known":[76],"correct.The":[79],"purpose":[80],"this":[82,181],"paper":[83],"is":[84,188],"three-fold.":[85],"First,":[86],"we":[87,109,119],"raise":[88],"clarify":[90],"some":[91],"that":[95,142,201],"must":[96],"addressed":[98],"when":[99],"constructing":[100],"transformations.":[107],"Second,":[108],"offer":[110],"principled":[112],"approach":[113,133,187],"developing":[115],"proofs.":[117],"Third,":[118],"use":[120],"Pitts'":[121],"recent":[122],"work":[123],"on":[124,145],"parametricity":[125],"observational":[127,151],"equivalence":[128,152],"show":[130],"how":[131],"our":[132],"used":[136],"give":[138],"first":[140],"proof":[141],"based":[144],"Acid":[147],"Rain":[148],"theorems":[149],"preserve":[150],"polymorphic":[157],"lambda":[158],"calculus":[159,182],"supporting":[160],"FPC-style":[161],"fixpoints":[162],"algebraic":[164],"data":[165],"types.":[166],"Correctness":[167],"foldr-build":[170],"rule,":[171,174],"destroy-unfoldr":[173],"hylofusion":[177],"transformation":[179],"follows":[183],"immediately.":[184],"The":[185],"same":[186],"expected":[189],"yield":[191],"complete":[192],"even":[202],"more":[203],"closely":[204],"resemble":[205],"languages":[206],"with":[207],"programmers":[209],"concerned":[211],"practice.":[213]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}