Kolmogorov Complexity and Computational Complexity

The mathematical theory of computation has given rise to two important approaches to the informal notion of "complexity": Kolmogorov complexity, usu­ ally a complexity measure for a single object such as a string, a sequence etc., measures the amount of information necessary to describe the object. Compu­ tational complexity, usually a complexity measure for a set of objects, measures the compuational resources necessary to recognize or produce elements of the set. The relation between thes...