The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculus

Detalhes bibliográficos
Autor(a) principal: Vasconcelos, Vasco T.
Data de Publicação: 2000
Tipo de documento: Relatório
Idioma: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10451/14097
Resumo: We present an encoding of the call-by-value $\lambda$-calculus into the $\pi$-calculus, alternative to the well-known Milner's encodings. We show that our encoding is barbed congruent (under typed contexts) to Milner's "light" encoding, and that it takes two $\pi$-steps to mimic a beta-reduction for normalizing terms. We describe a translation of Plotkin's SECD machine into the $\pi$-calculus, and show that there is an operational correspondence between a SECD machine and its encoding. Equipped with a notion of a state-based machine and two kinds of correspondences between them, we compare the encodings of the call-by-value $\lambda$-calculus and the SECD machine into the $\pi$-calculus
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spelling The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculusWe present an encoding of the call-by-value $\lambda$-calculus into the $\pi$-calculus, alternative to the well-known Milner's encodings. We show that our encoding is barbed congruent (under typed contexts) to Milner's "light" encoding, and that it takes two $\pi$-steps to mimic a beta-reduction for normalizing terms. We describe a translation of Plotkin's SECD machine into the $\pi$-calculus, and show that there is an operational correspondence between a SECD machine and its encoding. Equipped with a notion of a state-based machine and two kinds of correspondences between them, we compare the encodings of the call-by-value $\lambda$-calculus and the SECD machine into the $\pi$-calculusDepartment of Informatics, University of LisbonRepositório da Universidade de LisboaVasconcelos, Vasco T.2009-02-10T13:11:55Z2000-052000-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/reportapplication/pdfhttp://hdl.handle.net/10451/14097porinfo: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:RCAAP2023-11-08T15:59:41Zoai:repositorio.ul.pt:10451/14097Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:35:57.334663Repositório 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 The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculus
title The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculus
spellingShingle The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculus
Vasconcelos, Vasco T.
title_short The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculus
title_full The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculus
title_fullStr The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculus
title_full_unstemmed The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculus
title_sort The call-by-value $\lambda$-calculus, the SECD machine, and the $\pi$-calculus
author Vasconcelos, Vasco T.
author_facet Vasconcelos, Vasco T.
author_role author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Vasconcelos, Vasco T.
description We present an encoding of the call-by-value $\lambda$-calculus into the $\pi$-calculus, alternative to the well-known Milner's encodings. We show that our encoding is barbed congruent (under typed contexts) to Milner's "light" encoding, and that it takes two $\pi$-steps to mimic a beta-reduction for normalizing terms. We describe a translation of Plotkin's SECD machine into the $\pi$-calculus, and show that there is an operational correspondence between a SECD machine and its encoding. Equipped with a notion of a state-based machine and two kinds of correspondences between them, we compare the encodings of the call-by-value $\lambda$-calculus and the SECD machine into the $\pi$-calculus
publishDate 2000
dc.date.none.fl_str_mv 2000-05
2000-05-01T00:00:00Z
2009-02-10T13:11:55Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/report
format report
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10451/14097
url http://hdl.handle.net/10451/14097
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Department of Informatics, University of Lisbon
publisher.none.fl_str_mv Department of Informatics, University of Lisbon
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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