Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.3 - Propositional Equivalences - Exercises - Page 35: 37

Answer

for answer see step by step

Work Step by Step

If we apply the operation for forming the dual twice to a proposition, then every symbol returns to what it originally was. The /\ changes to the V, then changes back to the /\. Similarly the V changes to the /\, then back to the V. The same thing happens with the T and the F. Thus the dual of the dual of a proposition s, namely (s*)*, is equal to the original proposition s.
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