If statement forms P and Q are logically equivalent, thenQ is a tautology. Conversely, if P→Q is a tautology,then P and Q are logically equivalent. Use ↔ to converteach 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

The question asks to use the biconditional (↔) operator to convert the logical equivalence P ->…

Answered: 29. p → (q \ r) = (p ^~q) → r

Engineering

Computer Science

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

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