HILBERT ALGEBRAS WITH A NECESSITY MODAL OPERATOR

• Authors: Sergio A. Celani , Daniela Montangie
• Languages of publication: PL

Abstracts

PL

We introduce the variety of Hilbert algebras with a modal operator , called H-algebras. The variety of H-algebras is the algebraic counterpart of the f!;g-fragment of the intuitionitic modal logic IntK. We will study the theory of representation and we will give a topological duality for the variety of H-algebras. We are going to use these results to prove that the basic implicative modal logic IntK! and some axiomatic extensions are canonical. We shall also to determine the simple and subdirectly irreducible algebras in some subvarieties of H-algebras.

Keywords

PL

• Publisher: [unknown2]
• Journal: Reports on Mathematical Logic
• Year: 2014
• Volume: 49

Dates

published

2014

online

07 - 07 - 2015

Contributors

author

Sergio A. Celani

author

Daniela Montangie