GATE | CS | 2015 | Set 2 | Discrete Mathematics | Logic | Question 50

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Which one of the following well formed formulae is a tautology? 

∀x∃yR(x,y)<-->∃y∀xR(x,y)

(∀x(∃yR(x,y)->S(x,y)])->∀x∃yS(x,y)

[∀x∃y(P(x,y)->R(x,y)]<->[∀x∃y(~P(x,y)∪R(x,y)]

∀x∃yR(x,y)<-->∀y∀xR(x,y)

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