Acyclic Argumentation: Attack = Conflict + Preference
Souhila Kaci, Leendert van der Torre, Emil Weydert · Open Repository and Bibliography (University of Luxembourg) · 2006
Abstract. In this paper we study the fragment of Dung’s argumentation theory in which the strict attack relation is acyclic. We show that every attack relation satisfying a particular property can be represented by a symmetric conflict relation and a transitive preference relation argumentation theory, in which ‘argument A attacks argument B ’ is defined as ‘argument A conflicts with argument B ’ and ‘argument A is at least as preferred as argument B’, where the conflict relation is symmetric and the preference relation is transitive. We show that this new preference-based argumentation theory characterizes the acyclic strict attack relation, in the sense that every attack relation defined as such a combination satisfies the property, and for every attack relation satisfying the property we can find a symmetric conflict relation and a transitive preference relation satisfying the equation. 1 Acyclic argumentation framework