What is a categorical model of the differential and the resource lambda-calculi?

Details What is a categorical model of the differential and the resource lambda-calculi? What is a categorical model of the differential and the resource lambda-calculi?

2010-11-10

arxiv.org/abs/1011.2307v1

Computer Science

Logic in Computer Science

Scientific paper

In this paper we provide an abstract model theory for the untyped
differential lambda-calculus and the resource calculus. In particular we
propose a general definition of model of these calculi, namely the notion of
linear reflexive object in a Cartesian closed differential category. Examples
of models based on relations are provided.

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