Papers › On the Running Time of the Shortest Programs

On the Running Time of the Shortest Programs

10 Aug 2009arXiv:0908.1159links table onlyarchive 2025-07-28

Norbert Bátfai

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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?

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