Suppose the predicate \( F(x, y, t)\) is used to represent the statement that…

GATE · 2010 · CS · Computer Science & IT

Suppose the predicate F(x,y,t) F(x, y, t) is used to represent the statement that person xx can fool person yy at time tt. which one of the statements below expresses best the meaning of the formula ∀x∃y∃t(¬F(x,y,t))∀x∃y∃t(¬F(x, y, t)) ?

  1. A.

    Everyone can fool some person at some time

  2. B.

    No one can fool everyone all the time

  3. C.

    Everyone cannot fool some person all the time

  4. D.

    No one can fool some person at some time

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