Hastad Dictator Test for Boolean Functions
A function f\colon \{0,1\}^n\to \{0,1\} is a dictator function if there exists i\in [n] such that f(x) = x_i. That is, the function is completely determined by its i-th input. A function f\colon \{0,1\}^n\to \{ \pm 1\} is a dictator …