3- If statement forms P and Q are logically equivalent, then P + Q is a tautology. Conversely, if P Q is a tautology, then P and Q are logically equivalent. Use ↔ to convert each of the following logical equivalences to a tautology. Then use a truth table to verify each tautology. (a) p ^ (qVr) = (p^q) V (p^r) (b) p→ (q+r) = (p^q) → r

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Using overleaf La tex.... This question is about Discrete math so might not be related to coding!

3-
If statement forms P and Q are logically equivalent, then P↔ Q
is a tautology. Conversely, if P Q is a tautology, then P and Q are logically
equivalent. Use to convert each of the following logical equivalences to a
tautology. Then use a truth table to verify each tautology.
(a) p ^ (qVr) = (p^q) V (p^r)
(b) p→ (q→r) = (p^q) → r
Transcribed Image Text:3- If statement forms P and Q are logically equivalent, then P↔ Q is a tautology. Conversely, if P Q is a tautology, then P and Q are logically equivalent. Use to convert each of the following logical equivalences to a tautology. Then use a truth table to verify each tautology. (a) p ^ (qVr) = (p^q) V (p^r) (b) p→ (q→r) = (p^q) → r
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