A model category for modal logic

Luca Reggio

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arXiv · 2310.12068

A model category for modal logic

Luca Reggio

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Abstract

We define Quillen model structures on a family of presheaf toposes arising from tree unravellings of Kripke models, leading to a homotopy theory for modal logic. Modal preservation theorems and the Hennessy-Milner property are revisited from a homotopical perspective.

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Luca Reggio. 2023-10-18. A model category for modal logic. https://arxiv.org/abs/2310.12068

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