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e. There are two different students who have asked each other a question. Part Il: Proving logical equivalence using laws of propositional logic (50 pt.)

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e. There are two different students who have asked each other a question. Part Il: Proving logical equivalence using laws of propositional logic (50 pt.) 4. (30 pt.) Use the laws of propositional logic to prove that the following compound propositions are logically equivalent. a. (5 pt.) (p vq) A -(p A-q andq b. (5 pt.)-p (qvr) and (q p) A (r+p) c. (10 pt.) (pv (q ^ (-p r))) and p ^ (q r) UIC

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