-Complete Semantics
For integers , a set is an -complete extension iff and , i.e. is -conflict-free and a fixed point of graded defence.
Reference
Grossi, D. & Modgil, S. (2015). On the Graded Acceptability of Arguments. In: Proceedings of the 24th International Joint Conference on Artificial Intelligence (IJCAI 2015), pp. 868–874. AAAI Press.