Question: This problem asks you to simplify some recursively defined boolean formulas as much as possible. In each case, prove that your answer is correct.

This problem asks you to simplify some recursively defined boolean formulas as much as possible. In each case, prove that your answer is correct. Each proof can be just a few sentences long, but it must be a proof. (a) Suppose ao p, a = q, and an = (an-2 ^ an-1) for all n 2. Simplify an as much as possible. [Hint: What is as?] - (b) Suppose Bo=p, 31= q, and n = (n-2 Bn-1) for all n 2. Simplify n as much as possible. [Hint: What is ?] (e) Suppose yo = P, Y1 =q, and n = (-2n-1) for all n 2. Simplify n as much as possible. (Hint: What is ys?]

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