Reduce the proposition using laws. Simplify (q∨p)∧(¬p∨q) to q Select a law from below to apply to: (q∨p)∧(¬p∨q)   Laws   Distributive (a∧b)∨(a∧c)≡a∧(b∨c) (a∨b)∧(a∨c)≡a∨(b∧c)   Commutative a∨b≡b∨a a∧b≡b∧a   Complement a∨¬a≡T a∧¬a≡F   Identity a∧T≡a a∨F≡a   Double negation ¬¬a≡a

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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Reduce the proposition using laws.

Simplify (q∨p)∧(¬p∨q) to q

Select a law from below to apply to: (q∨p)∧(¬p∨q)
 
Laws
 
Distributive
(a∧b)∨(a∧c)≡a∧(b∨c)
(a∨b)∧(a∨c)≡a∨(b∧c)
 
Commutative
a∨b≡b∨a
a∧b≡b∧a
 
Complement
a∨¬a≡T
a∧¬a≡F
 
Identity
a∧T≡a
a∨F≡a
 
Double negation
¬¬a≡a
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