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
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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.
Transcribed Image Text: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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