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Use De Morgan's law for quantified statements and the laws of propositional logic to show the following equivalences: (a) -Vr (P(r) A¬Q(z)) = 3r (-P(1) V Q(z))

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

PROBLEM 2
Use De Morgan's law for quantified statements and the laws of propositional
logic to show the following equivalences:
(a) -Vr (P(r) A¬Q(r)) = 3r (-P(2) V Q(r))
(b) -Vr (-P(r) Q(z)) = 3r (-P(r) A-Q(x))
(c) -3r (-P(r) V (Q(z) A-R(r))) = Va (P(z) A (-Q(x) v R(x)))

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