Work

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

Year: 2026
Type: preprint
Abstract: 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 $\mathsf{Cheq}$.
Author: Xiao, Han
Institution: Tsinghua University
Language: English
Open Access status: green
OpenAlex ID: W7215077101
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