Semi-Directionality

A semantics σ\sigma satisfies Semi-Directionality iff for every framework FF and every unattacked set UU, σ(F∣U)⊆{E∩U∣E∈σ(F)}\sigma(F|_U) \subseteq \{E \cap U \mid E \in \sigma(F)\} (the other half of Directionality).

Reference

van der Torre, L. & Vesic, S. (2018). The Principle-Based Approach to Abstract Argumentation Semantics. In: Baroni, P., Gabbay, D., Giacomin, M. & van der Torre, L. (eds.), Handbook of Formal Argumentation, Vol. 1, Chapter 16, pp. 797–837. College Publications.