Characterizing Argumentation Frameworks with an Extension

Studies in Logic, Vol. 14, No. 6 (2021): 41–67   PII: 1674-3202(2021)-06-0041-27

Kang Xu

Beishui Liao

Abstract.

According to a given criterium, from the structure of an argumentation framework, a set of extensions can be decided. Conversely, an extension or a set of extensions can identify a set of argumentation frameworks. The direction from argumentation frameworks to their semantics has been discussed a lot, but little attention has been paid to the opposite direction. In this paper, we focus on characterizing argumentation frameworks with a given set of arguments as an extension, and show its applications on the update of argumentation frameworks and monotony.