{"id":"https://openalex.org/W2104951750","doi":"https://doi.org/10.2168/lmcs-3(4:12)2007","title":"A proof of strong normalisation using domain theory","display_name":"A proof of strong normalisation using domain theory","publication_year":2007,"publication_date":"2007-12-04","ids":{"openalex":"https://openalex.org/W2104951750","doi":"https://doi.org/10.2168/lmcs-3(4:12)2007","mag":"2104951750"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-3(4:12)2007","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-3(4:12)2007","pdf_url":"https://lmcs.episciences.org/1099/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/1099/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Thierry Coquand","orcid":null},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Thierry Coquand","raw_affiliation_strings":["Chalmers Tekniska Hgskola, Gothenburg"],"affiliations":[{"raw_affiliation_string":"Chalmers Tekniska Hgskola, Gothenburg","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":null,"display_name":"Arnaud Spiwack","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Arnaud Spiwack","raw_affiliation_strings":["LIX, Ecole Polytechnique"],"affiliations":[{"raw_affiliation_string":"LIX, Ecole Polytechnique","institution_ids":["https://openalex.org/I4210139461"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I66862912"],"apc_list":null,"apc_paid":null,"fwci":0.9731,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.82579174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"Volume 3, Issue 4","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9732999801635742,"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":0.9732999801635742,"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.00570000009611249,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.003700000001117587,"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/interpretation","display_name":"Interpretation (philosophy)","score":0.7203999757766724},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.7077000141143799},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.6133999824523926},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6057999730110168},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.5825999975204468},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5734999775886536},{"id":"https://openalex.org/keywords/domain-theory","display_name":"Domain theory","score":0.5430999994277954},{"id":"https://openalex.org/keywords/dependent-type","display_name":"Dependent type","score":0.4729999899864197}],"concepts":[{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.7203999757766724},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.7077000141143799},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.6133999824523926},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6057999730110168},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.5825999975204468},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5734999775886536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5673999786376953},{"id":"https://openalex.org/C29585364","wikidata":"https://www.wikidata.org/wiki/Q1079166","display_name":"Domain theory","level":2,"score":0.5430999994277954},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.4729999899864197},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43700000643730164},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.42669999599456787},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41190001368522644},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4088999927043915},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38019999861717224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.373199999332428},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.3684999942779541},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.33500000834465027},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.325300008058548},{"id":"https://openalex.org/C85343465","wikidata":"https://www.wikidata.org/wiki/Q975734","display_name":"Curry\u2013Howard correspondence","level":3,"score":0.3206000030040741},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.31150001287460327},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.30570000410079956},{"id":"https://openalex.org/C47030870","wikidata":"https://www.wikidata.org/wiki/Q467606","display_name":"Model theory","level":2,"score":0.3050000071525574},{"id":"https://openalex.org/C42383842","wikidata":"https://www.wikidata.org/wiki/Q193076","display_name":"Functional programming","level":2,"score":0.275299996137619},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2597000002861023}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2168/lmcs-3(4:12)2007","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-3(4:12)2007","pdf_url":"https://lmcs.episciences.org/1099/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0709.1401","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0709.1401","pdf_url":"https://arxiv.org/pdf/0709.1401","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:inria-00432448v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00432448","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":"Logical Methods in Computer Science, 2007, 16 p. ⟨10.2168/LMCS-3(4:12)2007⟩","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:37f0da402c5d41de89c07bdcd2cfebd0","is_oa":true,"landing_page_url":"https://doaj.org/article/37f0da402c5d41de89c07bdcd2cfebd0","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 3, Issue 4 (2007)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-3(4:12)2007","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-3(4:12)2007","pdf_url":"https://lmcs.episciences.org/1099/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320314997","display_name":"Strong","ror":"https://ror.org/041vyzr56"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2104951750.pdf","grobid_xml":"https://content.openalex.org/works/W2104951750.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W123923308","https://openalex.org/W126568045","https://openalex.org/W954330163","https://openalex.org/W1538845246","https://openalex.org/W1590364596","https://openalex.org/W1976958863","https://openalex.org/W2007270285","https://openalex.org/W2168773079","https://openalex.org/W2170835260","https://openalex.org/W2600009487","https://openalex.org/W2618516565","https://openalex.org/W6630804320"],"related_works":[],"abstract_inverted_index":{"Ulrich":[0],"Berger":[1,68],"presented":[2],"a":[3,58,94,106],"powerful":[4],"proof":[5,17],"of":[6,18,21,28,44],"strong":[7,19,91],"normalisation":[8,20],"using":[9,35],"domains,":[10],"in":[11,49],"particular":[12],"it":[13],"simplifies":[14],"significantly":[15],"Tait's":[16],"Spector's":[22],"bar":[23],"recursion.":[24],"The":[25],"main":[26,95],"contribution":[27],"this":[29],"paper":[30],"is":[31],"to":[32,89],"show":[33,98],"that,":[34],"ideas":[36],"from":[37],"intersection":[38],"types":[39],"and":[40],"Martin-Lof's":[41],"domain":[42,59],"interpretation":[43,71,80],"type":[45,102],"theory":[46,103],"one":[47],"can":[48],"turn":[50],"simplify":[51],"further":[52],"U.":[53,67],"Berger's":[54],"argument.":[55],"We":[56],"build":[57],"model":[60],"for":[61,73,81,108],"an":[62,70,79,86],"untyped":[63,82],"programming":[64],"language":[65],"where":[66],"has":[69,78],"only":[72],"typed":[74],"terms":[75,83],"or":[76],"alternatively":[77],"but":[84],"need":[85],"extra":[87],"condition":[88],"deduce":[90],"normalisation.":[92],"As":[93],"application,":[96],"we":[97],"that":[99],"Martin-L\\\"{o}f":[100],"dependent":[101],"extended":[104],"with":[105],"program":[107],"Spector":[109],"double":[110],"negation":[111],"shift.":[112]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}