Abstract
Some 25 years ago Valiant introduced an algebraic model of computation in order to study the complexity of evaluating families of polynomials. The theory was introduced along with the complexity classes Open image in new window and Open image in new window which are analogues of the classical classes Open image in new window and Open image in new window . Families of polynomials that are difficult to evaluate (that is, Open image in new window -complete) includes the permanent and hamiltonian polynomials.
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