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. 2014 May 8;9(5):e96223. doi: 10.1371/journal.pone.0096223

Figure 1. A flow chart illustrating the Coding Theorem Method, a never-ending algorithm for evaluating the (Kolmogorov) complexity of a (short) string making use of several concepts and results from theoretical computer science, in particular the halting probability, the Busy Beaver problem, Levin's semi-measure and the Coding theorem.

Figure 1

The Busy Beaver values can be used up to 4 states for which they are known, for more than 4 states an informed maximum runtime is used as described in this paper, informed by theoretical [3] and experimental (Busy Beaver values) results. Notice that Inline graphic are the probability values calculated dynamically by running an increasing number of Turing machines. Inline graphic is intended to be an approximation to Inline graphic out of which we build Inline graphic after application of the Coding theorem.