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Collapsing Constructive and Intuitionistic Modal Logics

Published 29 Aug 2024 in math.LO and cs.LO | (2408.16428v2)

Abstract: We prove that the constructive and intuitionistic variants of the modal logic $\mathsf{KB}$ coincide. This result contrasts with a recent result by Das and Marin, who showed that the constructive and intuitionistic variants of $\mathsf{K}$ do not prove the same diamond-free formulas.

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