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 _K_4. We partially find the boundary between all normal extensions of _K_4 and modal companions of \(K4^+\) among them. We also show that there is no greatest modal companion of \(K4^+\).

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Positive provability logic for uniform reflection principles.Lev Beklemishev - 2014 - Annals of Pure and Applied Logic 165 (1):82-105.
Locality and subsumption testing in EL and some of its extensions.Viorica Sofronie-Stokkermans - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 315-339.

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