A refutation mechanism is introduced into logic programming, dual to the usual proof mechanism; then negation is treated via refutation. A four-valued logic is appropriate for the...
All major semantics of normal logic programs and normal logic programs with aggregates can be described as fixpoints of the one-step provability operator or of operators that can...
Following earlier work, a modal logic for T-coalgebras is a functor L on a suitable variety. Syntax and proof system of the logic are given by presentations of the functor. This p...
The quantified relevant logic RQ is given a new semantics in which a formula xA is true when there is some true proposition that implies all x-instantiations of A. Formulae are mo...
In this paper we show that an arbitrary propositional theory, when interpreted under the answer sets semantics (called Equilibrium Logic for this general syntax), can always be re...