In recursion theory one considers functions which can be computed by an algorithm. Computational complexity theory is dedicated to the study of the difficulty of computations based on the notion of a measure of computational complexity in terms of the amount of some resources a program uses in a specific computation. An important measure of the complexity of a computable function is the rime needed to compute it. Other resources. such as space, have also been considered.
by William I. Gasarch and Georgia A. Martin