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language
eng
Author
Fujita, Ken-etsu
Description
We give a syntactical proof to the statement that a novel CPS translation with surjective pairing is injective for the extensional λ-calculus. The result itself might be preliminary, since the source language (the extensional λ-calculus) of the translation is a sublanguage of the target language (λ-calculus with surjective pairing). However this paper shows that there exists a nontrivial injection from the extensional λ-calculus into the λ-calculus with surjective pairing. In this sense our result can be regarded as an extension of Plotkin, i.e., a call-by-value simulation of call-by-name λ-calculus with η-rule (extensionality). Moreover, the method presented here can be naturally extended to the case of the extensional λη-calculus which is defined from the extensional λ-calculus together with control operators.
Subject
Extensional λ-calculus
Surjective Pairing
Church-Rosser Property
Continuation-passing-style Translation
Call-by-name
Call-by-value
Journal Title
島根大学総合理工学部紀要. シリーズB
Volume
36
Start Page
39
End Page
48
ISSN
13427121
Published Date
2003-03
NCID
AA11157123
Publisher
島根大学総合理工学部
NII Type
Departmental Bulletin Paper
Format
PDF
Text Version
出版社版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering
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