1. Consider the formula A = (vx ₁(x, a₁)) → (y (p2(y) ^ P3(y, α2))). (a) Create a formula tree for A. (b) Give two examples of interpretations for A. (c) Determine the truth value of A under the interpretation 9 = (Z, {≥, prime(), <}, {0,2}), where prime() is the relation that determines whether its argument is a prime number, i.e. the relation prime(r) is satisfied if and only if r is prime.

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