Abstract dialectical frameworks
Gerhard Brewka, Stefan Woltran · 2010
In this paper we introduce dialectical frameworks, a power-ful generalization of Dung-style argumentation frameworks where each node comes with an associated acceptance condi-tion. This allows us to model different types of dependencies, e.g. support and attack, as well as different types of nodes within a single framework. We show that Dung’s standard se-mantics can be generalized to dialectical frameworks, in case of stable and preferred semantics to a slightly restricted class which we call bipolar frameworks. We show how acceptance conditions can be conveniently represented using weights re-spectively priorities on the links and demonstrate how some of the legal proof standards can be modeled based on this idea.