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Having a bit of trouble with this The format described above is as follows Problem 1. (15 points) For each of the following, either prove,
Having a bit of trouble with this
The format described above is as follows
Problem 1. (15 points) For each of the following, either prove, using only the laws of propositional logic (not truth tables), that the proposition is a tautology, or else give a truth assignment that makes the proposition false. Be sure to present every step of your proof as in Monday's lecture. a) (pq) (q + p) b) (( PR )^(QR)) = -( P c) ( pp 9V-Gp V9) Ap) Q) Applying the Laws of Propositional Logic PE ( L W ) V (H = W) = GL VW) VGHVW) Conditional Identity Law (applied twice) = (VW) VW V-H) Commutative Law = (GLVW) VW) V-H Associative Law = (-L V (W V W)) V-H Associative Law = (LVW) V-H Idempotent Law = VW V-H) Associative Law =LV GHVW) Commutative Law = GLV-H) VW Associative Law = -(L AH) VW De Morgan's Law = (L AH) = W Conditional IdentityStep by Step Solution
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