Circuit Complexity - Complexity Classes

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.

Read more about this topic:  Circuit Complexity

Famous quotes containing the words complexity and/or classes:

    It is not only their own need to mother that takes some women by surprise; there is also the shock of discovering the complexity of alternative child-care arrangements that have been made to sound so simple. Those for whom the intended solution is equal parenting have found that some parents are more equal than others.
    Elaine Heffner (20th century)

    Solidity, caution, integrity, efficiency. Lack of imagination, hypocrisy. These qualities characterize the middle classes in every country, but in England they are national characteristics.
    —E.M. (Edward Morgan)