Stable Semantics (ADF)

A two-valued interpretation vv of an ADF DD is a stable model iff vv is a two-valued model of DD and v−1(t)=w−1(t)v^{-1}(\mathsf{t}) = w^{-1}(\mathsf{t}), where ww is the grounded model of the reduced ADF D↓vD_{\downarrow v}.

Reference

Brewka, G., Ellmauthaler, S., Strass, H., Wallner, J.P. & Woltran, S. (2013). Abstract Dialectical Frameworks Revisited. In: Proceedings of the 23rd International Joint Conference on Artificial Intelligence (IJCAI 2013), pp. 803–809. AAAI Press.