arXiv subjects

Adrian Soncodi

Publications and source records attributed to Adrian Soncodi.

2 recordsLinked to original sources

arXiv2021

A Characterization of Non-Iterative Normal Modal Logics

Non-iterative normal modal logics are defined by axioms of modal degree 1. In this paper we use calculations with normal forms to determine the set of all possible non-iterative normal modal logics, unimodal propositional extensions of K. To characterize them, we construct the complete set (lattice) of such logics and we provide the generic specification of their axioms and their semantics.

math.LO↗

arXiv2021

Automorphisms of the Lattice of Classical Modal Logics

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.

math.LO↗