Initial Set

A set $E \subseteq A$ is an initial set iff $E \neq \emptyset$ , $E$ is admissible, and no non-empty $E' \subsetneq E$ is admissible.

Reference

Xu, Y. & Cayrol, C. (2016). Initial Sets in Abstract Argumentation Frameworks. In: First Chinese Conference on Logic and Argumentation (CLAR 2016), CEUR-WS 1811, pp. 72–85.

Referenced by

Serialisable Semantics
Challenged Initial Set
Selection Function
Admissible Selection Function
Grounded Selection Function
Unchallenged Selection Function
Serialisation Graph
Serialisation Sequence
Preferred Termination Function
Unattacked Initial Set
Unchallenged Initial Set