{"id":"https://openalex.org/W2087320563","doi":"https://doi.org/10.1016/s1571-0661(05)82526-5","title":"Rewriting Calculus with(out) Types","display_name":"Rewriting Calculus with(out) Types","publication_year":2004,"publication_date":"2004-04-01","ids":{"openalex":"https://openalex.org/W2087320563","doi":"https://doi.org/10.1016/s1571-0661(05)82526-5","mag":"2087320563"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(05)82526-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)82526-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(05)82526-5","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015822800","display_name":"Horatiu Cirstea","orcid":"https://orcid.org/0000-0001-5105-5931"},"institutions":[{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Horatiu Cirstea","raw_affiliation_strings":["LORIA, INRIA and University of Nancy 2, Campus Scientifique, BP 239, 54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France"],"affiliations":[{"raw_affiliation_string":"LORIA, INRIA and University of Nancy 2, Campus Scientifique, BP 239, 54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055776480","display_name":"Claude Kirchner","orcid":"https://orcid.org/0009-0001-6778-1791"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Claude Kirchner","raw_affiliation_strings":["LORIA, INRIA and University of Nancy 2, Campus Scientifique, BP 239, 54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France"],"affiliations":[{"raw_affiliation_string":"LORIA, INRIA and University of Nancy 2, Campus Scientifique, BP 239, 54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080883460","display_name":"Luigi Liquori","orcid":"https://orcid.org/0000-0003-3961-4205"},"institutions":[{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Luigi Liquori","raw_affiliation_strings":["LORIA, INRIA and University of Nancy 2, Campus Scientifique, BP 239, 54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France"],"affiliations":[{"raw_affiliation_string":"LORIA, INRIA and University of Nancy 2, Campus Scientifique, BP 239, 54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015822800","https://openalex.org/A5055776480","https://openalex.org/A5080883460"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838"],"apc_list":null,"apc_paid":null,"fwci":6.0129,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.96007976,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"71","issue":null,"first_page":"3","last_page":"19"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T10142","display_name":"Formal Methods in Verification","score":0.989799976348877,"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/rewriting","display_name":"Rewriting","score":0.7886773347854614},{"id":"https://openalex.org/keywords/simply-typed-lambda-calculus","display_name":"Simply typed lambda calculus","score":0.5980277061462402},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.555308997631073},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5527240633964539},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.5485157370567322},{"id":"https://openalex.org/keywords/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.47166740894317627},{"id":"https://openalex.org/keywords/curry\u2013howard-correspondence","display_name":"Curry\u2013Howard correspondence","score":0.46790891885757446},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45093852281570435},{"id":"https://openalex.org/keywords/church-encoding","display_name":"Church encoding","score":0.4459826350212097},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.4432927966117859},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.43668442964553833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4116330146789551},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38826891779899597},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.27527278661727905},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.17650562524795532},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17650452256202698}],"concepts":[{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.7886773347854614},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.5980277061462402},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.555308997631073},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5527240633964539},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.5485157370567322},{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.47166740894317627},{"id":"https://openalex.org/C85343465","wikidata":"https://www.wikidata.org/wiki/Q975734","display_name":"Curry\u2013Howard correspondence","level":3,"score":0.46790891885757446},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45093852281570435},{"id":"https://openalex.org/C77736955","wikidata":"https://www.wikidata.org/wiki/Q1089708","display_name":"Church encoding","level":5,"score":0.4459826350212097},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4432927966117859},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.43668442964553833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4116330146789551},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38826891779899597},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.27527278661727905},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17650562524795532},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17650452256202698},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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":5,"locations":[{"id":"doi:10.1016/s1571-0661(05)82526-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)82526-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.103.266","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.103.266","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.loria.fr/~cirstea/Papers/wrla2002.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.298.7456","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.7456","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.loria.fr/~cirstea/Papers/wrla2002.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.412.6475","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.412.6475","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.loria.fr/~ckirchne/=rho/papers/data/rho-wrla.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00100858v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00100858","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WRLA 2002, 4th International Workshop on Rewriting Logic and Its Applications, Pisa, Italy 19\u201321 September 2002, Sep 2002, Pisa, Italy. pp.3-19, ⟨10.1016/S1571-0661(05)82526-5⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(05)82526-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)82526-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6499999761581421,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W3002993","https://openalex.org/W21307445","https://openalex.org/W29085931","https://openalex.org/W201844164","https://openalex.org/W566788094","https://openalex.org/W1504030085","https://openalex.org/W1513590676","https://openalex.org/W1530585942","https://openalex.org/W1535956864","https://openalex.org/W1542795482","https://openalex.org/W1543641760","https://openalex.org/W1584210099","https://openalex.org/W1591752798","https://openalex.org/W1992124283","https://openalex.org/W1996404651","https://openalex.org/W2010525351","https://openalex.org/W2018854027","https://openalex.org/W2031678037","https://openalex.org/W2044758536","https://openalex.org/W2054969282","https://openalex.org/W2056253254","https://openalex.org/W2058121495","https://openalex.org/W2064236106","https://openalex.org/W2072162091","https://openalex.org/W2093111544","https://openalex.org/W2095335078","https://openalex.org/W2118229393","https://openalex.org/W2145044561","https://openalex.org/W2153598190","https://openalex.org/W2154273644","https://openalex.org/W2157928652","https://openalex.org/W2163976959","https://openalex.org/W2165371624","https://openalex.org/W2912003593","https://openalex.org/W2912966344","https://openalex.org/W2914559425","https://openalex.org/W4212868911","https://openalex.org/W6600122868","https://openalex.org/W6629999335","https://openalex.org/W6630693218","https://openalex.org/W6631887756","https://openalex.org/W6632344615","https://openalex.org/W6634957990","https://openalex.org/W6635612683","https://openalex.org/W6648595055","https://openalex.org/W6664397306","https://openalex.org/W6665278253","https://openalex.org/W6677551240","https://openalex.org/W6683928090","https://openalex.org/W6758637757","https://openalex.org/W6858163320"],"related_works":["https://openalex.org/W2761902706","https://openalex.org/W2153353244","https://openalex.org/W1583714326","https://openalex.org/W3123171335","https://openalex.org/W2146437601","https://openalex.org/W1581936953","https://openalex.org/W1585482631","https://openalex.org/W3146610348","https://openalex.org/W62459810","https://openalex.org/W2189323991"],"abstract_inverted_index":{"The":[0,65,95,139],"last":[1,21],"few":[2],"years":[3],"have":[4],"seen":[5],"the":[6,20,36,116,129,132,135,180],"development":[7],"of":[8,19,23,50,128,134,151],"a":[9,144,155,172],"new":[10,175],"calculus":[11,66,96,130,167],"which":[12],"can":[13,67,97,122],"be":[14,68,99,123],"considered":[15,46],"as":[16,47,58,88],"an":[17],"outcome":[18],"decade":[22],"various":[24],"researches":[25],"on":[26,126,165,179],"(higher":[27],"order)":[28],"term":[29],"rewriting":[30],"systems,":[31],"and":[32,55,91,111,168,171],"lambda":[33,59,166],"calculi.":[34],"In":[35],"Rewriting":[37,140],"Calculus":[38,141],"(or":[39],"Rho":[40],"Calculus,":[41],"\u03c1Cal),":[42],"algebraic":[43],"rules":[44],"are":[45],"sophisticated":[48,73],"forms":[49],"\u201clambda":[51],"terms":[52],"with":[53,61,154],"patterns\u201d,":[54],"rule":[56],"applications":[57,60],"pattern":[62],"matching":[63],"facilities.":[64],"customized":[69],"to":[70,83,147,159],"work":[71],"modulo":[72],"theories,":[74],"like":[75],"commutativity,":[76],"associativity,":[77],"associativity-commutativity,":[78],"etc.":[79],"This":[80],"allows":[81],"us":[82],"encode":[84,148],"complex":[85],"structures":[86],"such":[87],"list,":[89],"sets,":[90],"more":[92],"generally":[93],"objects.":[94],"either":[98],"presented":[100],"\u201c\u00e0":[101,105],"la":[102,106],"Curry\u201d":[103],"or":[104],"Church\u201d":[107],"without":[108,112],"sacrificing":[109],"readability":[110],"complicating":[113],"too":[114],"much":[115],"metatheory.":[117],"Many":[118],"static":[119],"type":[120],"systems":[121],"easily":[124],"plugged-in":[125],"top":[127],"in":[131],"spirit":[133],"rich":[136],"type-oriented":[137],"literature.":[138],"could":[142],"represent":[143],"lingua":[145],"franca":[146],"many":[149],"paradigms":[150],"computations":[152],"together":[153],"formal":[156],"basis":[157],"used":[158],"build":[160],"powerful":[161],"theorem":[162],"provers":[163],"based":[164,178],"efficient":[169],"rewriting,":[170],"step":[173],"towards":[174],"proof":[176],"engines":[177],"Curry-Howard":[181],"isomorphism.":[182]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}