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I need the working solutions and accurate answers to this question. Thanks Problem 1. (15 points) (i) For2(P(z) Q(x)), distributing the quantifier over the operator

I need the working solutions and accurate answers to this question. Thanks

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Problem 1. (15 points) (i) For2(P(z) Q(x)), distributing the quantifier over the operator results in dieP(x) A3nQ(x). Are the two expressions equivalent? If they are, give a proof. If they are not, provide a counterexample and explain any direction of the implication that does not hold. Any counterexample needs to have a universe of size at least 100. (ii) Express the negation of 3dyR(x,y) VaVyS(x,y) so that all negation symbols immediately precede predicates. Show your work

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