Segerberg Squares of Modal Logics and Theories of Relation Algebras

Autor: Valentin B. Shehtman
Rok vydání: 2018
Předmět:
Zdroj: Larisa Maksimova on Implication, Interpolation, and Definability ISBN: 9783319699165
DOI: 10.1007/978-3-319-69917-2_12
Popis: The paper studies two-dimensional modal logics with additional connectives (so-called Segerberg squares) and can be regarded as a continuation of Shehtman (Russian Mathematical Surveys, 67(4):721–778, 2012). It gives a new simpler proof of the finite model property of minimal Segerberg squares using bisimulation games. It proves the square finite model property for Segerberg squares of polymodal \(\mathbf{T}\) and \(\mathbf{D}\). It also constructs a faithful embedding of Segerberg squares in the equational theory of relation algebras.
Databáze: OpenAIRE