Preference Reasoning for Argumentation: Non-monotonicity and Algorithms

In this paper we are interested in the role of preferences in argumentation theory. To promote a higher impact of preference reasoning in argumentation, we introduce a novel preference-based argumentation theory. Using non-monotonic preference reasoning we derive a Dung-style attack relation from a preference specification together with a defeat relation. In particular, our theory uses efficient algorithms computing acceptable arguments via a unique preference relation among arguments from a preference relation among sets of arguments