{"id":"https://openalex.org/W1980759357","doi":"https://doi.org/10.1017/s0956796802004409","title":"Short cut fusion is correct","display_name":"Short cut fusion is correct","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W1980759357","doi":"https://doi.org/10.1017/s0956796802004409","mag":"1980759357"},"language":"en","primary_location":{"id":"doi:10.1017/s0956796802004409","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0956796802004409","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/35A6587372FCE50ED52D279054BE5C3E/S0956796802004409a.pdf/div-class-title-short-cut-fusion-is-correct-div.pdf","source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"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":"Journal of Functional Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/35A6587372FCE50ED52D279054BE5C3E/S0956796802004409a.pdf/div-class-title-short-cut-fusion-is-correct-div.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","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","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":4.2117,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.94004527,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"4","first_page":"797","last_page":"814"},"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":0.9973999857902527,"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":0.9965000152587891,"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":0.7881944179534912},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7044395804405212},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.6617587208747864},{"id":"https://openalex.org/keywords/fusion","display_name":"Fusion","score":0.6601535677909851},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5349553823471069},{"id":"https://openalex.org/keywords/program-transformation","display_name":"Program transformation","score":0.4604528546333313},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.45378443598747253},{"id":"https://openalex.org/keywords/fuse","display_name":"Fuse (electrical)","score":0.4533417224884033},{"id":"https://openalex.org/keywords/intuition","display_name":"Intuition","score":0.441683828830719},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4237465262413025},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4230361878871918},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37118470668792725},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36646440625190735},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33792394399642944},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.17930546402931213},{"id":"https://openalex.org/keywords/cognitive-science","display_name":"Cognitive science","score":0.13134494423866272},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1209334135055542},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.11128941178321838}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7881944179534912},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7044395804405212},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.6617587208747864},{"id":"https://openalex.org/C158525013","wikidata":"https://www.wikidata.org/wiki/Q2593739","display_name":"Fusion","level":2,"score":0.6601535677909851},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5349553823471069},{"id":"https://openalex.org/C2778361913","wikidata":"https://www.wikidata.org/wiki/Q7248437","display_name":"Program transformation","level":2,"score":0.4604528546333313},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.45378443598747253},{"id":"https://openalex.org/C141353440","wikidata":"https://www.wikidata.org/wiki/Q182221","display_name":"Fuse (electrical)","level":2,"score":0.4533417224884033},{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.441683828830719},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4237465262413025},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4230361878871918},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37118470668792725},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36646440625190735},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33792394399642944},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17930546402931213},{"id":"https://openalex.org/C188147891","wikidata":"https://www.wikidata.org/wiki/Q147638","display_name":"Cognitive science","level":1,"score":0.13134494423866272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1209334135055542},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.11128941178321838},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0956796802004409","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0956796802004409","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/35A6587372FCE50ED52D279054BE5C3E/S0956796802004409a.pdf/div-class-title-short-cut-fusion-is-correct-div.pdf","source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"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":"Journal of Functional Programming","raw_type":"journal-article"},{"id":"pmh:oai:libres.uncg.edu/19212","is_oa":true,"landing_page_url":null,"pdf_url":"http://libres.uncg.edu/ir/asu/f/Johann_Patricia_2003_Short_Cut_Fusion_is_Correct.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":"doi:10.1017/s0956796802004409","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0956796802004409","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/35A6587372FCE50ED52D279054BE5C3E/S0956796802004409a.pdf/div-class-title-short-cut-fusion-is-correct-div.pdf","source":{"id":"https://openalex.org/S12266929","display_name":"Journal of Functional Programming","issn_l":"0956-7968","issn":["0956-7968","1469-7653"],"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":"Journal of Functional Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121078526","display_name":"RUI:  Testing and Enhancing a Prototype Program Fusion Engine","funder_award_id":"9900510","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","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"},{"id":"https://openalex.org/F4320320324","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1980759357.pdf","grobid_xml":"https://content.openalex.org/works/W1980759357.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W76609494","https://openalex.org/W326743114","https://openalex.org/W1480753098","https://openalex.org/W1496084514","https://openalex.org/W1527713232","https://openalex.org/W1585299317","https://openalex.org/W1843571914","https://openalex.org/W1966981171","https://openalex.org/W1988932014","https://openalex.org/W2038176982","https://openalex.org/W2057292961","https://openalex.org/W2116151771","https://openalex.org/W2117818027","https://openalex.org/W2149412346","https://openalex.org/W2914837968"],"related_works":["https://openalex.org/W1585994937","https://openalex.org/W2009332552","https://openalex.org/W2130163138","https://openalex.org/W2023299380","https://openalex.org/W2087175527","https://openalex.org/W58529227","https://openalex.org/W2066868279","https://openalex.org/W2072445029","https://openalex.org/W1452601014","https://openalex.org/W60573678"],"abstract_inverted_index":{"Fusion":[0],"is":[1,17,91],"the":[2,60,95,100],"process":[3],"of":[4,32,99,102],"removing":[5],"intermediate":[6],"data":[7],"structures":[8],"from":[9],"modularly":[10],"constructed":[11],"functional":[12],"programs.":[13],"Short":[14,35],"cut":[15,36,104,118],"fusion":[16,20,37,105,119],"a":[18,24],"particular":[19],"technique":[21],"which":[22,114],"uses":[23],"single,":[25],"local":[26],"transformation":[27],"rule":[28],"to":[29,51,54,66,93,123],"fuse":[30],"compositions":[31],"list-processing":[33],"functions.":[34],"has":[38],"traditionally":[39],"been":[40,64],"treated":[41],"purely":[42],"syntactically,":[43],"and":[44,74],"justifications":[45],"for":[46,106],"it":[47],"have":[48,62,115],"appealed":[49],"either":[50],"intuition":[52],"or":[53],"\u201cfree":[55],"theorems\u201d":[56],"\u2013":[57],"even":[58],"though":[59],"latter":[61],"not":[63],"known":[65],"hold":[67],"in":[68,88],"languages":[69,90],"supporting":[70],"higher-order":[71],"polymorphic":[72],"functions":[73],"fixpoint":[75],"recursion.":[76],"In":[77,108],"this":[78],"paper":[79],"we":[80,110],"use":[81],"Pitts'":[82],"recent":[83],"demonstration":[84],"that":[85,112],"contextual":[86],"equivalence":[87],"such":[89],"parametric":[92],"provide":[94],"first":[96],"formal":[97],"proof":[98],"correctness":[101],"short":[103,117],"them.":[107],"particular,":[109],"show":[111],"programs":[113],"undergone":[116],"are":[120],"contextually":[121],"equivalent":[122],"their":[124],"unfused":[125],"counterparts.":[126]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
