Computational randomness and lowness

Journal of Symbolic Logic 66 (3):1199-1205 (2001)
Abstract
We prove that there are uncountably many sets that are low for the class of Schnorr random reals. We give a purely recursion theoretic characterization of these sets and show that they all have Turing degree incomparable to 0'. This contrasts with a result of Kučera and Terwijn [5] on sets that are low for the class of Martin-Löf random reals
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2695101
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 26,804
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Randomness and Computability: Open Questions.Joseph S. Miller & André Nies - 2006 - Bulletin of Symbolic Logic 12 (3):390-410.
Calibrating Randomness.Rod Downey, Denis R. Hirschfeldt, André Nies & Sebastiaan A. Terwijn - 2006 - Bulletin of Symbolic Logic 12 (3):411-491.
Lowness Properties and Approximations of the Jump.Santiago Figueira, André Nies & Frank Stephan - 2008 - Annals of Pure and Applied Logic 152 (1):51-66.
Higher Kurtz Randomness.Bjørn Kjos-Hanssen, André Nies, Frank Stephan & Liang Yu - 2010 - Annals of Pure and Applied Logic 161 (10):1280-1290.
Randomness and Lowness Notions Via Open Covers.Laurent Bienvenu & Joseph S. Miller - 2012 - Annals of Pure and Applied Logic 163 (5):506-518.

View all 7 citations / Add more citations

Similar books and articles
Subclasses of the Weakly Random Reals.Johanna N. Y. Franklin - 2010 - Notre Dame Journal of Formal Logic 51 (4):417-426.
Van Lambalgen's Theorem and High Degrees.Johanna N. Y. Franklin & Frank Stephan - 2010 - Notre Dame Journal of Formal Logic 52 (2):173-185.
Relative Randomness and Real Closed Fields.Alexander Raichev - 2005 - Journal of Symbolic Logic 70 (1):319 - 330.
Relative Randomness and Cardinality.George Barmpalias - 2010 - Notre Dame Journal of Formal Logic 51 (2):195-205.
Every 2-Random Real is Kolmogorov Random.Joseph S. Miller - 2004 - Journal of Symbolic Logic 69 (3):907-913.
Lowness and $\Pi _{2}^{0}$ Nullsets.Rod Downey, Andre Nies, Rebecca Weber & Liang Yu - 2006 - Journal of Symbolic Logic 71 (3):1044 - 1052.
Lowness for the Class of Random Sets.Antonin Kučera & Sebastiaan A. Terwijn - 1999 - Journal of Symbolic Logic 64 (4):1396-1402.
Schnorr Randomness.Rodney G. Downey & Evan J. Griffiths - 2004 - Journal of Symbolic Logic 69 (2):533 - 554.

Monthly downloads

Added to index

2009-01-28

Total downloads

62 ( #83,515 of 2,159,120 )

Recent downloads (6 months)

1 ( #353,545 of 2,159,120 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums