Lowness for Integer-Valued Randomness

Ian Herbert

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arXiv · 1410.3211

Lowness for Integer-Valued Randomness

Ian Herbert

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Abstract

A real is called integer-valued random if no integer-valued martingale can win arbitrarily much capital betting against it. A real is low for integer-valued randomness if no integer-valued martingale recursive in A can succeed on an integer-valued random real. We show that lowness for integer-valued randomness coincides with recursiveness, as is the case for computable randomness.

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BibTeX RIS

Ian Herbert. 2014-10-13. Lowness for Integer-Valued Randomness. https://arxiv.org/abs/1410.3211

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