A Machine-Independent Theory of the Complexity of Recursive Functions
Journal of the ACM (JACM)
Computation: finite and infinite machines
Computation: finite and infinite machines
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Fuzzy properties and relations are defined on countable sets and a notion of approximation between functions on the integers is proposed. Hierarchies of functions based on approximate behavior are defined and their complexities compared. The success of approximation of a function f is investigated with respect to the complexity of the approximating function g.