Annals of Pure and Applied Logic 156 (1):21-38 (2008)
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| Abstract |
We say that A≤LRB if every B-random set is A-random with respect to Martin–Löf randomness. We study this relation and its interactions with Turing reducibility, classes, hyperimmunity and other recursion theoretic notions.
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| DOI | 10.1016/j.apal.2008.06.004 |
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References found in this work BETA
Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers.Piergiorgio Odifreddi - 1989 - Sole Distributors for the Usa and Canada, Elsevier Science Pub. Co..
Almost Everywhere Domination and Superhighness.Stephen G. Simpson - 2007 - Mathematical Logic Quarterly 53 (4):462-482.
Randomness and Computability: Open Questions.Joseph S. Miller & André Nies - 2006 - Bulletin of Symbolic Logic 12 (3):390-410.
Relativizing Chaitin's Halting Probability.Rod Downey, Denis R. Hirschfeldt, Joseph S. Miller & André Nies - 2005 - Journal of Mathematical Logic 5 (02):167-192.
Randomness, Lowness and Degrees.George Barmpalias, Andrew E. M. Lewis & Mariya Soskova - 2008 - Journal of Symbolic Logic 73 (2):559 - 577.
View all 8 references / Add more references
Citations of this work BETA
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Low Upper Bounds in the LR Degrees.David Diamondstone - 2012 - Annals of Pure and Applied Logic 163 (3):314-320.
Elementary Differences Between the Degrees of Unsolvability and Degrees of Compressibility.George Barmpalias - 2010 - Annals of Pure and Applied Logic 161 (7):923-934.
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