Consensus Operator

The consensus v1⊓v2v_1 \sqcap v_2 of two three-valued interpretations v1,v2v_1, v_2 maps each a∈Aa \in A to t\mathsf{t} if v1(a)=v2(a)=tv_1(a) = v_2(a) = \mathsf{t}, to f\mathsf{f} if v1(a)=v2(a)=fv_1(a) = v_2(a) = \mathsf{f}, and to u\mathsf{u} otherwise.

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.

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