High Quality Content by WIKIPEDIA articles! A concept over a domain X is a total Boolean function over X. A concept class is a class of concepts. Concept class is a subject of computational learning theory. In mathematics, a (finitary) Boolean function is a function of the form : Bk ? B, where B = {0, 1} is a Boolean domain and k is a nonnegative integer called the arity of the function. In the case where k = 0, the "function" is essentially a constant element of B. Every k-ary Boolean formula can be expressed as a propositional formula in k variables x1, …, xk, and two propositional formulas are logically equivalent if and only if they express the same Boolean function. There are 22k k-ary functions for every k.

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