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Let us construct a truth table for each of these compound propositions.
(i) Let us determine by using truth tables if is a tautology, contradiction or a contingency.
Since the last column contains only 1, we conclude that this formula is a tautology. Therefore, this formula neither a contradiction, nor a contingency.
(ii) Let us show that and are logically equivalent using the truth table.
Since the last two columns are coinside, the formulas and are logically equivalent.