Answered: r) and (p ∨ q) ∧ (p ∨ r) are logically…

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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Discrete Math

Answer the following:
1. Show that p ∨ (q ∧ r) and (p ∨ q) ∧ (p ∨ r) are logically equivalent. This is the distributive law of
disjunction over conjunction.
2. Show that p ∨ (p ∧ q) are logically equivalent to p.
3. Show that p ∧ (p ∨ q) are logically equivalent to p.
4. Show that p ∨ p are logically equivalent to p.
5. Show that p ∧ q are logically equivalent to p.
6. Show that ¬(p → q) and p ∧ ¬q are logically equivalent.

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