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Strong normalisation for the linear term calculus

Part of: JFP Research Articles

Published online by Cambridge University Press:  07 November 2008

P. N. Benton
P. N. Benton
Affiliation:
Computer Laboratory, University of Cambridge, New Museums Site, Pembroke Street, Cambridge CB2 3QG, UK (e-mail: Nick.Benton@cl.cam.ac.uk)
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Abstract

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We prove a strong normalisation result for the linear term calculus of Benton, Bierman, Hyland and de Paiva. Rather than prove the result from first principles, we give a translation of linear terms into terms in the second-order polymorphic lambda calculus (λ2) which allows the result to be proved by appealing to the well-known strong normalisation property of λ2. An interesting feature of the translation is that it makes use of the λ2 coding of a coinductive datatype as the translation of the !-types (exponentials) of the linear calculus.

Type
Articles
Information
Journal of Functional Programming , Volume 5 , Issue 1 , January 1995 , pp. 65 - 80
Copyright
Copyright © Cambridge University Press 1995

References

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