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Asymptotic Logical Uncertainty and The Benford Test

Published 12 Oct 2015 in cs.LG and cs.AI | (1510.03370v1)

Abstract: We give an algorithm A which assigns probabilities to logical sentences. For any simple infinite sequence of sentences whose truth-values appear indistinguishable from a biased coin that outputs "true" with probability p, we have that the sequence of probabilities that A assigns to these sentences converges to p.

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