A note on preservation of strong normalisation in the lambda-calculus
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2011 |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/1822/14680 |
Resumo: | An auxiliary notion of reduction ρ on the λ-terms preserves strong normalisation if all strongly normalising terms for β are also strongly normalising for β∪ρ.Wegive a sufficient condition for ρ to preserve strong normalisation. As an example of application, we check easily the sufficient condition for Regnier’s σ-reduction rules and the ‘‘assoc’’-reduction rule inspired by calculi with let-expressions. This gives the simplest proof so far that the union of all these rules preserves strong normalisation. |
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A note on preservation of strong normalisation in the lambda-calculusScience & TechnologyAn auxiliary notion of reduction ρ on the λ-terms preserves strong normalisation if all strongly normalising terms for β are also strongly normalising for β∪ρ.Wegive a sufficient condition for ρ to preserve strong normalisation. As an example of application, we check easily the sufficient condition for Regnier’s σ-reduction rules and the ‘‘assoc’’-reduction rule inspired by calculi with let-expressions. This gives the simplest proof so far that the union of all these rules preserves strong normalisation.FCTElsevierUniversidade do MinhoEspírito Santo, José20112011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/14680eng0304-397510.1016/j.tcs.2010.10.049http://www.sciencedirect.com/science/article/pii/S0304397510006110info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:05:32Zoai:repositorium.sdum.uminho.pt:1822/14680Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:55:59.479149Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
| dc.title.none.fl_str_mv |
A note on preservation of strong normalisation in the lambda-calculus |
| title |
A note on preservation of strong normalisation in the lambda-calculus |
| spellingShingle |
A note on preservation of strong normalisation in the lambda-calculus Espírito Santo, José Science & Technology |
| title_short |
A note on preservation of strong normalisation in the lambda-calculus |
| title_full |
A note on preservation of strong normalisation in the lambda-calculus |
| title_fullStr |
A note on preservation of strong normalisation in the lambda-calculus |
| title_full_unstemmed |
A note on preservation of strong normalisation in the lambda-calculus |
| title_sort |
A note on preservation of strong normalisation in the lambda-calculus |
| author |
Espírito Santo, José |
| author_facet |
Espírito Santo, José |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
Universidade do Minho |
| dc.contributor.author.fl_str_mv |
Espírito Santo, José |
| dc.subject.por.fl_str_mv |
Science & Technology |
| topic |
Science & Technology |
| description |
An auxiliary notion of reduction ρ on the λ-terms preserves strong normalisation if all strongly normalising terms for β are also strongly normalising for β∪ρ.Wegive a sufficient condition for ρ to preserve strong normalisation. As an example of application, we check easily the sufficient condition for Regnier’s σ-reduction rules and the ‘‘assoc’’-reduction rule inspired by calculi with let-expressions. This gives the simplest proof so far that the union of all these rules preserves strong normalisation. |
| publishDate |
2011 |
| dc.date.none.fl_str_mv |
2011 2011-01-01T00:00:00Z |
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info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/1822/14680 |
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http://hdl.handle.net/1822/14680 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
0304-3975 10.1016/j.tcs.2010.10.049 http://www.sciencedirect.com/science/article/pii/S0304397510006110 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
Elsevier |
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Elsevier |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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