Lowness and nullsets-Reference-Cited by-同舟云学术

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Lowness and nullsets

Published:2006-09 Issue:3 Volume:71 Page:1044-1052
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Downey Rod,Nies Andre,Weber Rebecca,Yu Liang

Abstract

AbstractWe prove that there exists a noncomputable c.e. real which is low for weak 2-randomness, a definition of randomness due to Kurtz, and that all reals which are low for weak 2-randomness are low for Martin-Löf randomness.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference16 articles.

1. Wang Y. , Randomness and Complexity, Ph.D. thesis , University of Heidelberg, 1996.

2. Nies A. , Low for random sets: The story, preprint, available at http://www.cs.auckland.ac.nz/~nies.

3. Every sequence is reducible to a random one

4. Stephan F. , personal communication.

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