Suppose Denote Boolean Formula 2n Boolean Variables Let Means Exists Assignment X Variab Q37196389

December 7, 2021 by Administrator

Suppose $phi(x,y)$ denotea boolean formula with 2n boolean variables: $x = (x_1, x_2, ... x_n)$ and $y = (y_1, y_2, ... y_n)$ .

Let $EA = {<phi(x,y)> : exists x in {0,1}^n, forall y in {0,1}^n, phi(x,y)}$ .

This means “there exists some assignment for the x variables, sothat for all assignments of the y variables, $phi(x,y)$ istrue”.

Assume that P=NP, show EA is in P. (we do not believe that EA isin NP).

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