Preferred Semantics (ADF)

A three-valued interpretation vv of an ADF is a preferred model iff vv is complete and there is no complete model v′v' such that v<iv′v <_i v' in the information ordering.

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.