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The importance of Π1 0 classes in effective randomness
George Barmpalias, Andrew E.M. Lewis, Keng Meng Ng
Journal:

The Journal of Symbolic Logic / Volume 75 / Issue 1 / March 2010

Published online by Cambridge University Press:

12 March 2014, pp. 387-400

Print publication:

March 2010
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We prove a number of results in effective randomness, using methods in which Π1 0 classes play an essential role. The results proved include the fact that every PA Turing degree is the join of two random Turing degrees, and the existence of a minimal pair of LR degrees below the LR degree of the halting problem.

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The importance of Π1 0 classes in effective randomness