Directionality

A semantics σ\sigma satisfies Directionality iff for every framework FF and every unattacked set UU, σ(F∣U)={E∩U∣E∈σ(F)}\sigma(F|_U) = \{E \cap U \mid E \in \sigma(F)\}.

Reference

Baroni, P. & Giacomin, M. (2007). On Principle-Based Evaluation of Extension-Based Argumentation Semantics. Artificial Intelligence, 171(10–15), pp. 675–700.

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