On the Running Time of the Shortest Programs

Norbert Bátfai

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arXiv · 0908.1159

On the Running Time of the Shortest Programs

Norbert Bátfai

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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?

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Norbert Bátfai. 2009-09-07. On the Running Time of the Shortest Programs. https://arxiv.org/abs/0908.1159

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