This paper addresses the problem of extending the formulae-as-types principle to classical logic. More precisely, we introduce a typed lambda-calculus (-LK ) whose inhabited types...
Starting off from the infinitary system for common knowledge over multi-modal epistemic logic presented in Alberucci and J¨ager [1], we apply the finite model property to “...
In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general m...
The family of normal propositional modal logic systems are given a highly systematic organisation by their model theory. This model theory is generally given using Kripkean frame s...
A residuated algebra (RA) is a generalization of a residuated groupoid; instead of one basic binary operation · with residual operations \, /, it admits finitely many basic oper...