{"id":"https://openalex.org/W2315369658","doi":"https://doi.org/10.1007/s00165-016-0361-7","title":"A language-independent proof system for full program equivalence","display_name":"A language-independent proof system for full program equivalence","publication_year":2016,"publication_date":"2016-03-07","ids":{"openalex":"https://openalex.org/W2315369658","doi":"https://doi.org/10.1007/s00165-016-0361-7","mag":"2315369658"},"language":"en","primary_location":{"id":"doi:10.1007/s00165-016-0361-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00165-016-0361-7","pdf_url":null,"source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/20.500.12210/25091","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026036782","display_name":"\u015etefan Ciob\u00e2c\u0103","orcid":"https://orcid.org/0009-0000-4082-570X"},"institutions":[{"id":"https://openalex.org/I138164181","display_name":"Alexandru Ioan Cuza University","ror":"https://ror.org/022kvet57","country_code":"RO","type":"education","lineage":["https://openalex.org/I138164181"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"\u015etefan Ciob\u00e2c\u0103","raw_affiliation_strings":["Faculty of Computer Science, \u201cAlexandru Ioan Cuza\u201d University, 16, General Berthelot Street, 700483, Iasi, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, \u201cAlexandru Ioan Cuza\u201d University, 16, General Berthelot Street, 700483, Iasi, Romania","institution_ids":["https://openalex.org/I138164181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052315997","display_name":"Dorel Lucanu","orcid":"https://orcid.org/0000-0001-8097-040X"},"institutions":[{"id":"https://openalex.org/I138164181","display_name":"Alexandru Ioan Cuza University","ror":"https://ror.org/022kvet57","country_code":"RO","type":"education","lineage":["https://openalex.org/I138164181"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Dorel Lucanu","raw_affiliation_strings":["Faculty of Computer Science, \u201cAlexandru Ioan Cuza\u201d University, 16, General Berthelot Street, 700483, Iasi, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, \u201cAlexandru Ioan Cuza\u201d University, 16, General Berthelot Street, 700483, Iasi, Romania","institution_ids":["https://openalex.org/I138164181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066780988","display_name":"Vlad Rusu","orcid":"https://orcid.org/0000-0002-3495-2232"},"institutions":[{"id":"https://openalex.org/I4210138412","display_name":"Centre Inria de l'Universit\u00e9 de Lille","ror":"https://ror.org/04eej9726","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210138412"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vlad Rusu","raw_affiliation_strings":["Inria, Lille, France","DREAMPAL - Dynamic Reconfigurable Massively Parallel Architectures and Languages (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria, Lille, France","institution_ids":["https://openalex.org/I4210138412"]},{"raw_affiliation_string":"DREAMPAL - Dynamic Reconfigurable Massively Parallel Architectures and Languages (France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053878331","display_name":"Grigore Ro\u015fu","orcid":"https://orcid.org/0000-0002-3102-0421"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Grigore Ro\u015fu","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Champaign, USA","UIUC - University of Illinois at Urbana-Champaign [Urbana] (205 N. Mathews Ave., Urbana-Champaign, IL 61801 - United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"UIUC - University of Illinois at Urbana-Champaign [Urbana] (205 N. Mathews Ave., Urbana-Champaign, IL 61801 - United States)","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":5.4801,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.95601723,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"28","issue":"3","first_page":"469","last_page":"497"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9951000213623047,"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":0.9951000213623047,"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9815999865531921,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7624515295028687},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.7107425928115845},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6007303595542908},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5788936614990234},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5560836791992188},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.4302927851676941},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.4185028672218323},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3710632026195526},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3564569354057312},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.3491401672363281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3459884524345398},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.14054864645004272}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7624515295028687},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7107425928115845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6007303595542908},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5788936614990234},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5560836791992188},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.4302927851676941},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.4185028672218323},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3710632026195526},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3564569354057312},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.3491401672363281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3459884524345398},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.14054864645004272},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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:10.1007/s00165-016-0361-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00165-016-0361-7","pdf_url":null,"source":{"id":"https://openalex.org/S128250343","display_name":"Formal Aspects of Computing","issn_l":"0934-5043","issn":["0934-5043","1433-299X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formal Aspects of Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01245528v2","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01245528","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":"Formal Aspects of Computing, 2016, 28 (3), pp.469--497. &#x27E8;10.1007/s00165-016-0361-7&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/25091","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/25091","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/25091","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/25091","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"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":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.6700000166893005,"display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G1119091398","display_name":null,"funder_award_id":"CCF-1218605","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2402280760","display_name":null,"funder_award_id":"CCF-1218605","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G304067245","display_name":"SHF:  Small:  Usable Verification using Rewriting and Matching Logic","funder_award_id":"1218605","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4348943707","display_name":"SHF: Small: VeriF-OPT, a Verification Framework for Optimizations and Program Transformations","funder_award_id":"1318191","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4482436462","display_name":null,"funder_award_id":"FA8750-12-C-0284","funder_id":"https://openalex.org/F4320337532","funder_display_name":"Space and Naval Warfare Systems Command"},{"id":"https://openalex.org/G4713059963","display_name":null,"funder_award_id":"FA8750","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G4793590712","display_name":"SHF:  Small:  Scalable and Maximal Predictive Runtime Verification for Concurrent Software","funder_award_id":"1421575","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5154499933","display_name":null,"funder_award_id":"FA8750-12-C-0284","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306077","display_name":"Boeing","ror":"https://ror.org/04sm5zn07"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320337407","display_name":"Division of Human Resource Development","ror":"https://ror.org/03mamvh39"},{"id":"https://openalex.org/F4320337532","display_name":"Space and Naval Warfare Systems Command","ror":"https://ror.org/000ztjy10"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W54802056","https://openalex.org/W55812124","https://openalex.org/W203808516","https://openalex.org/W369805404","https://openalex.org/W805934567","https://openalex.org/W1503973138","https://openalex.org/W1508641834","https://openalex.org/W1545038039","https://openalex.org/W1553650628","https://openalex.org/W1567525491","https://openalex.org/W1605391443","https://openalex.org/W1771925833","https://openalex.org/W1817234554","https://openalex.org/W1865448657","https://openalex.org/W1964110138","https://openalex.org/W1979366339","https://openalex.org/W1983696848","https://openalex.org/W1990653192","https://openalex.org/W2000387514","https://openalex.org/W2002608561","https://openalex.org/W2023035194","https://openalex.org/W2023149698","https://openalex.org/W2039222548","https://openalex.org/W2040856861","https://openalex.org/W2082036516","https://openalex.org/W2091779700","https://openalex.org/W2095838677","https://openalex.org/W2100559921","https://openalex.org/W2104795876","https://openalex.org/W2109693366","https://openalex.org/W2111706174","https://openalex.org/W2117802778","https://openalex.org/W2126834377","https://openalex.org/W2134087751","https://openalex.org/W2137628566","https://openalex.org/W2149996206","https://openalex.org/W2156438993","https://openalex.org/W2162604396","https://openalex.org/W2259551671","https://openalex.org/W2292164009","https://openalex.org/W2324324786","https://openalex.org/W2406820219","https://openalex.org/W2410137150","https://openalex.org/W2474267977","https://openalex.org/W2553515685","https://openalex.org/W2568033970","https://openalex.org/W2985015260","https://openalex.org/W2987907651","https://openalex.org/W2997326335","https://openalex.org/W3008912813","https://openalex.org/W3016757878","https://openalex.org/W3087458664","https://openalex.org/W3118490272","https://openalex.org/W3146075203","https://openalex.org/W3147129034","https://openalex.org/W4239953003","https://openalex.org/W4251192040","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4252501555","https://openalex.org/W55831818","https://openalex.org/W2003848320","https://openalex.org/W187835144","https://openalex.org/W1586813864","https://openalex.org/W315696179","https://openalex.org/W3196023996","https://openalex.org/W3217765976","https://openalex.org/W2804386508","https://openalex.org/W1500659951"],"abstract_inverted_index":{"Abstract":[0],"Two":[1],"programs":[2,32,106,117,162],"are":[3,163],"fully":[4,164],"equivalent":[5,165],"if,":[6],"for":[7,31,74],"the":[8,20,46,52,57,81,101,105,132,149,160],"same":[9,21,53],"input,":[10],"either":[11,175],"they":[12,16],"both":[13,17,130],"diverge":[14],"or":[15,55,152,172],"terminate":[18],"with":[19],"result.":[22],"Full":[23],"equivalence":[24,30,103],"is":[25,38,78,95,138,145],"an":[26,139],"adequate":[27],"notion":[28],"of":[29,48,59,84,104,174],"written":[33],"in":[34,40,80,88,118],"deterministic":[35],"languages.":[36,64],"It":[37],"useful":[39],"many":[41],"contexts,":[42],"such":[43],"as":[44,110],"capturing":[45,56],"correctness":[47,58],"program":[49],"transformations":[50],"within":[51],"language,":[54],"compilers":[60],"between":[61],"two":[62,85,116,119,161],"different":[63,120],"In":[65],"this":[66],"paper":[67],"we":[68,168],"introduce":[69],"a":[70,89,97,126],"language-independent":[71],"proof":[72,93,98,156],"system":[73,94,157],"full":[75,102],"equivalence,":[76],"which":[77],"parametric":[79],"operational":[82],"semantics":[83],"languages":[86,121],"and":[87,125],"state-similarity":[90],"relation.":[91],"The":[92,135],"sound:":[96],"tree":[99],"establishes":[100],"given":[107],"to":[108],"it":[109,114,144],"input.":[111],"We":[112],"illustrate":[113],"on":[115],"(an":[122],"imperative":[123],"one":[124],"functional":[127],"one),":[128],"that":[129,159],"compute":[131],"Collatz":[133,136],"sequence.":[134],"sequence":[137,150],"interesting":[140],"case":[141],"study":[142],"since":[143],"not":[146],"known":[147],"whether":[148],"terminates":[151],"not;":[153],"nevertheless,":[154],"our":[155],"shows":[158],"(even":[166],"if":[167],"cannot":[169],"establish":[170],"termination":[171],"divergence":[173],"one).":[176]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
