Using logical equivalence (not the table), show that thefollowing propositions are equivalent and state thename of the law used.1. Show that -p A (p V q) is equivalent to -p A q.2.. Show that -[-p v (p V q)] → q is a tautology.3. Show that -(- p>q)^ (p A-q) is a contradiction.

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Using logical equivalence (not the table), show that the following propositions are equivalent and state the name of the law used. 1. Show that -p^ (p V q) is equivalent to -p q. 2.. Show that -[-p v (p v q)] → q is a tautology. 3. Show that -(-p→q)^ (p A¬q) is a contradiction.

Using logical equivalence (not the table), show that the following propositions are equivalent and state the name of the law used. 1. Show that -p^ (p V q) is equivalent to -p q. 2.. Show that -[-p v (p v q)] → q is a tautology. 3. Show that -(-p→q)^ (p A¬q) is a contradiction.

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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Using logical equivalence (not the table), show that the
following propositions are equivalent and state the
name of the law used.
1. Show that -p A (p V q) is equivalent to -p A q.
2.. Show that -[-p v (p V q)] → q is a tautology.
3. Show that -(- p>q)^ (p A-q) is a contradiction.

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