A Fibrational Perspective on Differential Linear Logic

Jad Koleilat

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arXiv · 2605.07858

A Fibrational Perspective on Differential Linear Logic

Jad Koleilat

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Abstract

Differential Linear Logic (DiLL) is a sequent calculus that expresses differentiation via symmetries between linear and non-linear formulas. In this paper, we express categorical models of DiLL as a pair of Grothendieck fibrations equipped with a tangent functor. To do so, we adapt methods from categorical semantics of type theory to linear-non-linear adjunctions. This is a first step towards unifying DILL and dependent types.

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Jad Koleilat. 2026-05-08. A Fibrational Perspective on Differential Linear Logic. https://arxiv.org/abs/2605.07858

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