Two-Valued Interpretation
A three-valued interpretation of an ADF is two-valued iff for all .
Properties
Among all three-valued interpretations, the two-valued ones are the maximal elements with respect to the information ordering ; those that extend a three-valued interpretation are its completions (Brewka et al., 2013).
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.