Assumption-Based Approaches to Reasoning with Priorities

Abstract

This paper maps out the relation between different approaches for handling preferences in argumentation with strict rules and defeasible assumptions by offering translations between them. The systems we compare are: non-prioritized defeats, preference-based defeats, and preference-based defeats extended with reverse defeat. We prove that these translations preserve the consequences of the respective systems under different semantics. * The research of the authors was supported by a Sofja Kovalevkaja award of the Alexander von Humboldt-Foundation, funded by the German Ministry for Education and Research. A slightly updated version of the paper is forthcoming in the proceedings of AI 3 .