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Hyperimmune-free degrees and Schnorr triviality
Journal of Symbolic Logic 73 (3):999-1008 (2008)
Abstract
We investigate the relationship between lowness for Schnorr randomness and Schnorr triviality. We show that a real is low for Schnorr randomness if and only if it is Schnorr trivial and hyperimmune freeLinks
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Citations of this work
Unified characterizations of lowness properties via Kolmogorov complexity.Takayuki Kihara & Kenshi Miyabe - 2015 - Archive for Mathematical Logic 54 (3-4):329-358.
Covering the recursive sets.Bjørn Kjos-Hanssen, Frank Stephan & Sebastiaan A. Terwijn - 2017 - Annals of Pure and Applied Logic 168 (4):804-823.
References found in this work
Calibrating randomness.Rod Downey, Denis R. Hirschfeldt, André Nies & Sebastiaan A. Terwijn - 2006 - Bulletin of Symbolic Logic 12 (3):411-491.
Randomness and computability: Open questions.Joseph S. Miller & André Nies - 2006 - Bulletin of Symbolic Logic 12 (3):390-410.
On Schnorr and computable randomness, martingales, and machines.Rod Downey, Evan Griffiths & Geoffrey Laforte - 2004 - Mathematical Logic Quarterly 50 (6):613-627.
Schnorr trivial reals: a construction. [REVIEW]Johanna N. Y. Franklin - 2008 - Archive for Mathematical Logic 46 (7-8):665-678.
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