((P V Q) ^ R) → (P ^ Q) V (P ^ R) ((PV Q) → (P ^ Q))^ (P® Q)

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

For each of the following propositions (also known as“Boolean expres-
sions”), show, by means of a truth table, whether it is a tautology (i.e., it’s always
true), a contradiction (it’s never true), or a contingency (its truth changes, depending
on the truth of the variables). They may not all show up.

⊕: exclusive or

⇒>
((P V Q) ^ R) → (P ^ Q) V (P ^ R)
((P V Q) → (P ^ Q))^ (P 0 Q)
Transcribed Image Text:⇒> ((P V Q) ^ R) → (P ^ Q) V (P ^ R) ((P V Q) → (P ^ Q))^ (P 0 Q)
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