What Are Propositional Equivalences?

1.	What Are Propositional Equivalences?
Answer» Two STATEMENTS X and Y are logically EQUIVALENT if any of the following two conditions HOLD − The truth tables of each STATEMENT have the same truth values. The bi-conditional statement X⇔Y is a tautology. Example − Prove ¬(A∨B)and[(¬A)∧(¬B)] are equivalent Two statements X and Y are logically equivalent if any of the following two conditions hold − Example − Prove ¬(A∨B)and[(¬A)∧(¬B)] are equivalent

Answer»

Two STATEMENTS X and Y are logically EQUIVALENT if any of the following two conditions HOLD −

Example − Prove ¬(A∨B)and[(¬A)∧(¬B)] are equivalent

Two statements X and Y are logically equivalent if any of the following two conditions hold −

Example − Prove ¬(A∨B)and[(¬A)∧(¬B)] are equivalent

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