paper

On the Running Time of the Shortest Programs

arXiv:0908.1159

Abstract

The Kolmogorov complexity of the word w is equal to the length of the shortest concatenation of program Z and its input x with which the word w is computed by the universal turing machine U. The question introduced in this paper is the following: How long do the shortest programs run for?

24 pages, 15 figures; added new values to the table "The increasing of running time of the shortest programs"

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