Bernreiter, M., Dvorak, W., Rapberger, A., & Woltran, S. (2022). The Effect of Preferences in Abstract Argumentation Under a Claim-Centric View. In Proceedings of the 20th International Workshop on Non-Monotonic Reasoning (pp. 27–38).
In this paper, we study the effect of preferences in abstract argumentation under a claim-centric perspective. Recent work has revealed that semantical and omputational properties can change when reasoning is performed on claim-level rather than on the argument-level, while under certain natural restrictions (arguments with the same claims have the same outgoing attacks) these properties are conserved. We now investigate these effects when, in addition, preferences have to be taken into account and consider four prominent reductions to handle preferences between arguments. As we shall see, these reductions give rise to different classes of claim-augmented argumentation frameworks, and behave differently in terms of semantic properties and computational complexity. This strengthens the view that the actual choice for handling preferences has to
be taken with care.