Question: Two statements X and Y are logically equivalent if any of the following two conditions hold: 1. The truth tables of each statement have

Two statements X and Y are logically equivalent if any of the following two conditions hold: 1. The truth

Two statements X and Y are logically equivalent if any of the following two conditions hold: 1. The truth tables of each statement have the same truth values. 2. The bi-conditional statement XY is a tautology. Example: Prove - (A V B) First method and [(A)^(B)] are logically equivalent B AVB (AVB) A B A True True True False False True False False [(A)^(B)] Two statements X and Y are logically equivalent if any of the following two conditions hold: 1. The truth tables of each statement have the same truth values. 2. The bi-conditional statement X Y is a tautology. Example: Prove (A V B) First method and [(A)^(B)] are logically equivalent B AVB -(AVB) A B A True True True False False True False False [(A)^(B)]

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