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Journal Articles Journal of Logic and Computation Year : 2012

What is a Model for a Semantically Linear Lambda-calculus?

Abstract

This paper is about a categorical approach to model a very simple Semantically Linear lambda calculus, named Sll-calculus. This is a core calculus underlying the programming language SlPCF. In particular, in this work, we introduce the notion of Sll-Category, which is able to describe a very large class of sound models of Sll-calculus. Sll-Category extends in the natural way Benton, Bierman, Hyland and de Paiva's Linear Category, in order to soundly interpret all the constructs of Sll-calculus. This category is general enough to catch interesting models in Scott Domains and Coherence Spaces.
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Dates and versions

hal-00909362 , version 1 (26-11-2013)

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Marco Gaboardi, Mauro Piccolo. What is a Model for a Semantically Linear Lambda-calculus?. Journal of Logic and Computation, 2012, ⟨10.1093/logcom/exs023⟩. ⟨hal-00909362⟩
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