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Automorphisms of the Lattice of Classical Modal Logics

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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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Correspondence to Adrian Soncodi.

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Soncodi, A. Automorphisms of the Lattice of Classical Modal Logics. Stud Logica 104, 249–276 (2016). https://doi.org/10.1007/s11225-015-9638-8

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  • DOI: https://doi.org/10.1007/s11225-015-9638-8

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