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Internship report: Coherent differentiation in models of Linear Logic

2024/10/23 by Walch, Aymeric
#FOS: Computer and information sciences #Logic in Computer Science (cs.LO)

paper · doi:10.48550/arxiv.2410.17743

Abstract

Coherent differentiation was introduced by Ehrhard in order to generalize differential categories to a setting in which the sum is only partially defined, in order to account for the deterministic nature of most models of computation. This internship report proves that the deriving transformation of a differential category with a categorical product always induces a coherent differentiation. This ensures that coherent differentiation is indeed a generalization of differential categories.

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