Consider the formula B = 3x3y3z. p(x,y) p(x, z) ^ ¬p(y, z). For each of the following interpretations, determine if the interpretation is a model of B. If it is a model, show that it is. If it is not a model, show that it is not. (a) D= the set of you and your friends (pick you and two other friends) R = {R1} R1 = x is-friends-with y (define explicitly!!) p maps to R1 (b) D = {1,2} R = {R1} R1 = > (you may write this out as tuples if it helps) p maps to R1

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