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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https://hal.inria.fr/hal-00909362
Contributor : Davide Sangiogi <>
Submitted on : Tuesday, November 26, 2013 - 11:07:24 AM
Last modification on : Friday, January 4, 2019 - 5:32:58 PM

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

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