You do not have permission to edit this page, for the following reason:

The action you have requested is limited to users in one of the groups: Users, Administrators.


You can view and copy the source of this page.

Return to GATE2010 q30.

Suppose the predicate $F(x, y, t)$ is used to represent the statement that person $x$ can fool person $y$ at time $t$. which one of the statements below expresses best the meaning of the formula $\forall x \exists y \exists(\neg;F(x,y,t))$?


(A) Everyone can fool some person at some time

(B) No one can fool everyone all the time

(C) Everyone cannot fool some person all the time

(D) No one can fool some person at some time

Solution by Happy Mittal[edit]

The formula $\forall x \exists y \exists (\neg F(x,y,t))$ says that for every person $x$, there exists a person $y$, and there exists a time $t$, such that $x$ cannot fool $y$ at time t i.e. No person can fool everyone all the time. So option (B) is correct.




blog comments powered by Disqus