Question: Prove the given expresslon Isa tautology by developing a serles of logical eguivalence to demonstrate that It Is logically equivalent to T. [pA (p-

Prove the given expresslon Isa tautology by developing a serles of logical

Prove the given expresslon Isa tautology by developing a serles of logical eguivalence to demonstrate that It Is logically equivalent to T. [pA (p- a)- q p v (q v q) by associative law (pa q) - q by identity law -p vT by negation law [F v (p a q)) + q by negation law I by domination law pv (-q v q) by associative law (p v -g) v q by De Morgan's law [o A (p- q)) - q = [p A (-p v q)- equivalence - q by logical (Pn q) - q = [-p v (p- q)] v q by logical equivalence [(P A p) v (p A q)) - q by distributive law [p A (p - q)) - 9 [(-p v p) a (p v -q)] v q by distributive law (pa q) - q= -(p A q) vq by logical equivalence

Step by Step Solution

3.45 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!