A Unifying View for Logic Programming with Non-Monotonic Reasoning

We provide a simple formulation of a framework where some extensions of logic programming with non-monotonic reasoning are treated uniformly, namely two kinds of negation and abduction. The resulting semantics is purely model-theoretic, and gives meaning to any non-contradictory abductive logic program. Moreover, it embeds and generalizes some existing semantics which deal with negation and abduction. The framework is equipped with a correct top-down proof procedure.