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arXiv · 1003.5511

Categorical Models for a Semantically Linear Lambda-calculus

Marco Gaboardi·Mauro Piccolo
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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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Marco Gaboardi, Mauro Piccolo. 2010-03-29. Categorical Models for a Semantically Linear Lambda-calculus. https://doi.org/10.4204/eptcs.22.1

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