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Consider the following interpretation for propositional functions P, Q and R with domain D = {1,2,3,4,5,6}. In parts (i) (iv) you are given formulae in
Consider the following interpretation for propositional functions P, Q and R with domain D = {1,2,3,4,5,6}. In parts (i) (iv) you are given formulae in predicate logic. You are required to give the truth values and explain why these formulae have such truth values. P(x) Q(x) R(x) 1 F T 2 F F T 3 T F T 4 T F T 5 T F F 6 T T T Give the truth values for the following formulae and explain why, under the above interpretation: (i) Q(2) (P(5) OR(1)) Ex:((P(x)\Q(x)) ^ R(x)) (ii) vx((-P(x)) R(x)) (vx:(Q(x) = R(x))) 2 (3x(Q(x) ^ R(x))) (iv)
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