Lowness and Π₂⁰ nullsets

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Journal of Symbolic Logic 71 (3):1044-1052 (2006)
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Abstract

We 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

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10.2178/jsl/1154698590

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Citations of this work

Randomness and computability: Open questions.Joseph S. Miller & André Nies - 2006 - Bulletin of Symbolic Logic 12 (3):390-410.
Randomness and lowness notions via open covers.Laurent Bienvenu & Joseph S. Miller - 2012 - Annals of Pure and Applied Logic 163 (5):506-518.
Recognizing strong random reals.Daniel Osherson - 2008 - Review of Symbolic Logic 1 (1):56-63.
Characterizing strong randomness via Martin-Löf randomness.Liang Yu - 2012 - Annals of Pure and Applied Logic 163 (3):214-224.
Randomness and Semimeasures.Laurent Bienvenu, Rupert Hölzl, Christopher P. Porter & Paul Shafer - 2017 - Notre Dame Journal of Formal Logic 58 (3):301-328.

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