a commutator function, f() , for another function g() , if f(b,a) returns TRUE when g(a,b) returns TRUE for all values of a and b

a graphic halfspace function iff f is both a graphic function and a halfspace function

A function using the logical operators AND, OR, and NOT.

Usually, a function f:{0,1}n-{0,1}, that takes an n-bit string as input and produces a bit as output.

In mathematics, a finitary boolean function is a function of the form f : Bk → B, where B = {0, 1} is a boolean domain and where k is a nonnegative integer. In the case where k = 0, the "function" is simply a constant element of B.