Lowness for Integer-Valued Randomness
Logic
2014-10-14 v1
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.
Cite
@article{arxiv.1410.3211,
title = {Lowness for Integer-Valued Randomness},
author = {Ian Herbert},
journal= {arXiv preprint arXiv:1410.3211},
year = {2014}
}
Comments
10 pages