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Preprint Sep 2026

Non-finite Axiomatizability and Undecidability of $\mathsf{Cheq}$

We prove that $\mathsf{Cheq}$ is not finitely axiomatizable, resolving a longstanding open problem in intermediate and modal logics. We further prove that the undecidability of Medvedev logic implies the undecidability of $\mathsf{Cheq}$.

Han Xiao · 0 citations

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