An Injective CPS-translation for the Extensional λ-calculus

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c0020036r004.pdf 198 KB エンバーゴ : 2004-01-16
Title
An Injective CPS-translation for the Extensional λ-calculus
Creator
Fujita Ken-etsu
Source 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
Journal Identifire
ISSN 13427121
Descriptions
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.
Subjects
Extensional λ-calculus
Surjective Pairing
Church-Rosser Property
Continuation-passing-style Translation
Call-by-name
Call-by-value
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学総合理工学部
Date of Issued 2003-03
Publish Type Version of Record
Access Rights open access
Relation
[NCID] AA11157123