Modal Companions of $$K4^{+}$$

Studia Logica 110 (5):1327-1347 (2022)
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Abstract

We study modal companions of $$K4^+$$, the strictly positive fragment of K4. We partially find the boundary between all normal extensions of K4 and modal companions of $$K4^+$$ among them. We also show that there is no greatest modal companion of $$K4^+$$.

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10.1007/s11225-022-10001-w

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Positive provability logic for uniform reflection principles.Lev Beklemishev - 2014 - Annals of Pure and Applied Logic 165 (1):82-105.

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