ArticleOriginal scientific text

Title

Useful Four-Valued Extension of the Temporal Logic KtT4

Authors

Abstract

The temporal logic KtT4 is the modal logic obtained from the minimal temporal logic Kt by requiring the accessibility relation to be reflexive (which corresponds to the axiom T) and transitive (which corresponds to the axiom 4). This article aims, firstly, at providing both a model-theoretic and a proof-theoretic characterisation of a four-valued extension of the temporal logic KtT4 and, secondly, at identifying some of the most useful properties of this extension in the context of partial and paraconsistent logics.

Keywords

temporal logic, many-valued logic, bi-intuitionistic logic, paraconsistent logic, sequent calculus, duality, cut-redundancy
Main language of publication
English
Published
2018
Humanities