A generalization of Levin-Schnorr's theorem

Keita Yokoyama

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arXiv · 1310.3091

A generalization of Levin-Schnorr's theorem

Keita Yokoyama

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Abstract

In this paper, we will generalize the definition of partially random or complex reals, and then show the duality of random and complex, i.e., a generalized version of Levin-Schnorr's theorem. We also study randomness from the view point of arithmetic using the relativization to a complete $\Pi^0_1$-class.

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BibTeX RIS

Keita Yokoyama. 2013-10-11. A generalization of Levin-Schnorr's theorem. https://arxiv.org/abs/1310.3091

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