Question: ( 5 points ) Is ( p ? ? q ) ( p v v r ) a tautology? Prove or disprove it . 3

(5 points) Is (p??q)(pvvr) a tautology? Prove or disprove it.
3(10 points) Suppose xinZ,yinZ,zinZ, function P(x,y) is x+y2+z=1. Determine the truth value of the follows and explain why.
AAxEEyEEzP(x,y,z)
AAxAAyEEzP(x,y,z)
AAxAAzEEyP(x,y,z)
EExEEyAAzP(x,y)
(5 points) Is (p??q)(pvvr) a tautology? Prove or disprove it. 3(10

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