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arXiv · 2103.12709

Automorphisms of the Lattice of Classical Modal Logics

Adrian Soncodi
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Abstract

In this paper we analyze the propositional extensions of the minimal classical modal logic system E, which form a lattice denoted as CExtE. Our method of analysis uses algebraic calculations with canonical forms, which are a generalization of the normal forms applicable to normal modal logics. As an application, we identify a group of automorphisms of CExtE that is isomorphic to the symmetric group S4.

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Adrian Soncodi. 2021-03-23. Automorphisms of the Lattice of Classical Modal Logics. https://doi.org/10.1007/s11225-015-9638-8

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