A study of unrestricted abstract argumentation frameworks

Abstract

Research in abstract argumentation typically pertains to finite argumentation frameworks (AFs). Actual or potential infinite AFs frequently occur if they are used for the purpose of nonmonotonic entailment, so-called instantiation-based argumentation, or if they are involved as modeling tool for dialogues, n-person-games or action sequences. Apart from these practical cases a profound analysis yields a better understanding of how the nonmonotonic theory of abstract argumentation works in general. In this paper we study a bunch of abstract properties like SCC-recursiveness, expressiveness or intertranslatability for unrestricted AFs.