Complexity Classes
Many circuit complexity classes are defined in terms of class hierarchies. For each nonnegative integer i, there is a class NCi, consisting of polynomial-size circuits of depth, using bounded fan-in AND, OR, and NOT gates. We can talk about the union NC of all of these classes. By considering unbounded fan-in gates, we construct the classes ACi and AC. We construct many other circuit complexity classes with the same size and depth restrictions by allowing different sets of gates.
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