We tackle the problem of defining a well-founded semantics (WFS) for Datalog rules with existentially quantified variables in their heads and negations in their bodies. In partic...
Gentzen systems are introduced for Spinks and Veroff's substructural logic corresponding to constructive logic with strong negation, and some logics in its vicinity. It has b...
System SKS is a set of rules for classical propositional logic presented in the calculus of structures. Like sequent systems and unlike natural deduction systems, it has an explici...
Is it possible to compute in which logics a given formula is deducible? The aim of this paper is to provide a formal basis to answer positively this question in the context of sub...
In this paper we present a general logical framework for (weighted) MAX-SAT problem, and study properties of inference rules for branch and bound MAX-SAT solver. Several rules, wh...