We define a variant of the standard Kripke semantics for intuitionistic logic, motivated by the connection between constructive logic and the Medvedev lattice. We show that while...
Epistemic logic allows to reason not only about situations, but also about the knowledge that a set of agents have about situations. In later years, epistemic logic has been appli...
A prospective study of the use of ordered multi-lattices as underlying sets of truth-values for a generalised framework of logic programming is presented. Specifically, we investi...
Logical omniscience is a well known problem which makes traditional modal logics of knowledge, belief and intentions somewhat unrealistic from the point of view of modelling the be...
Abstract. The classical propositional logic is known to be sound and complete with respect to the set semantics that interprets connectives as set operations. The paper extends pro...