File | |
Title |
An Injective CPS-translation for the Extensional λ-calculus
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Creator |
Fujita Ken-etsu
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Source Title |
島根大学総合理工学部紀要. シリーズB
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Volume | 36 |
Start Page | 39 |
End Page | 48 |
Journal Identifire |
ISSN 13427121
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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.
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Subjects |
Extensional λ-calculus
Surjective Pairing
Church-Rosser Property
Continuation-passing-style Translation
Call-by-name
Call-by-value
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Language |
eng
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Resource Type | departmental bulletin paper |
Publisher |
島根大学総合理工学部
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Date of Issued | 2003-03 |
Publish Type | Version of Record |
Access Rights | open access |
Relation |
[NCID] AA11157123
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