Separation

A semantics σ\sigma satisfies Separation iff for every framework FF and every unattacked set UU with σ(F∣U)={∅}\sigma(F|_U) = \{\emptyset\}, σ(F)=σ(F∣A∖U)\sigma(F) = \sigma(F|_{A \setminus U}).

Reference

Blümel, L. & Ulbricht, M. (2022). Defining Defense and Defeat in Abstract Argumentation From Scratch – A Generalizing Approach. In: Proceedings of the 19th International Conference on Principles of Knowledge Representation and Reasoning (KR 2022), pp. 63–72. ijcai.org.