Every 1-generic computes a properly 1-generic

Author:

Csima Barbara F.,Downey Rod,Greenberg Noam,Hirschfeldt Denis R.,Miller Joseph S.

Abstract

AbstractA real is called properly n-generic if it is n-generic but not n + 1-generic. We show that every 1-generic real computes a properly 1-generic real. On the other hand, if m > n ≥ 2 then an m-generic real cannot compute a properly n-generic real.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference12 articles.

1. Nies André , Computability and randomness, Monograph in preparation.

2. Algorithmic Randomness and Complexity

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