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arxiv: 1510.03370 · v1 · pith:WGIA3CSQnew · submitted 2015-10-12 · 💻 cs.LG · cs.AI

Asymptotic Logical Uncertainty and The Benford Test

classification 💻 cs.LG cs.AI
keywords sentencesassignslogicalprobabilitiessequencealgorithmappearasymptotic
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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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