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A model category for modal logic

Published 18 Oct 2023 in math.LO | (2310.12068v1)

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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