Infinity in computable probability

Details Infinity in computable probability Infinity in computable probability

2011-01-18

arxiv.org/abs/1101.3578v2

Mathematics

Logic

This paper has been withdrawn by the authors due to the sum of the lengths of the intervals not converging constructively

Scientific paper

Here we show, contrary to the classical supposition, that a process for generating symbols according to some probability distribution need not, with any likelihood, produce a given finite text in any finite time, even if it is guaranteed to produce the text in infinite time. The result extends to target-free text generation and has implications for simulations of probabilistic processes.

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