29. p → (q \ r) = (p ^~q) → r
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
![If statement forms P and Q are logically equivalent, then
Q is a tautology. Conversely, if P→Q is a tautology,
then P and Q are logically equivalent. Use ↔ to convert
each of the logical equivalences in 29-31 to a tautology.
Then use a truth table to verify each tautology.
29. p(q Vr) = (p ^ ~q) →r](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc081ddcc-eba2-40ae-b68f-7408fff0456c%2F5cc3424d-fd86-4807-9965-305f8405248d%2Fizorh4_processed.png&w=3840&q=75)
Transcribed Image Text:If statement forms P and Q are logically equivalent, then
Q is a tautology. Conversely, if P→Q is a tautology,
then P and Q are logically equivalent. Use ↔ to convert
each of the logical equivalences in 29-31 to a tautology.
Then use a truth table to verify each tautology.
29. p(q Vr) = (p ^ ~q) →r
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