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"