Undisputed Sets

A set $E \subseteq A$ is undisputed iff $E$ is conflict-free and the reduct $F^E$ has no non-empty admissible set.

Remarks

That is, $\mathsf{ud} = \mathsf{cf}^{\mathsf{ad}}$ , a vacuous reduct semantics.

Reference

Thimm, M. (2023). On Undisputed Sets in Abstract Argumentation. In: Proceedings of the 37th AAAI Conference on Artificial Intelligence (AAAI 2023), pp. 6550–6557. AAAI Press.

Referenced by

Strongly Undisputed Sets
Extension-based Semantics