Question: 1) Simplify the following proposition to 2 logic operations using the laws of the algebra of propositions (Section 13.7 of Gupta & Gandhi). Write each

Simplify the following proposition to 2 logic operations using the laws of the algebra of propositions (Section 13.7 of Gupta & Gandhi). Write each step on a separate line with the algebra law you used as a justification. Missing steps will be penalized.

(P Q) (P Q) (P Q )

Prove using a proof sequence that the argument is valid (hint: the last A has to be inferred). Justify each step with a comment. (1 point)

(A C) (C B ) B A

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