Subclasses of the Weakly Random Reals

Notre Dame Journal of Formal Logic 51 (4):417-426 (2010)
  Copy   BIBTEX

Abstract

The weakly random reals contain not only the Schnorr random reals as a subclass but also the weakly 1-generic reals and therefore the n -generic reals for every n . While the class of Schnorr random reals does not overlap with any of these classes of generic reals, their degrees may. In this paper, we describe the extent to which this is possible for the Turing, weak truth-table, and truth-table degrees and then extend our analysis to the Schnorr random and hyperimmune reals

Other Versions

No versions found

Links

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Schnorr Randomness.Rodney G. Downey & Evan J. Griffiths - 2004 - Journal of Symbolic Logic 69 (2):533 - 554.
Every 2-random real is Kolmogorov random.Joseph S. Miller - 2004 - Journal of Symbolic Logic 69 (3):907-913.
Computational randomness and lowness.Sebastiaan Terwijn & Domenico Zambella - 2001 - Journal of Symbolic Logic 66 (3):1199-1205.
Relative Randomness and Real Closed Fields.Alexander Raichev - 2005 - Journal of Symbolic Logic 70 (1):319-330.
WHAT IS... a Halting Probability?Cristian S. Calude - 2010 - Notices of the AMS 57:236-237.
Cohen reals from small forcings.Janusz Pawlikowski - 2001 - Journal of Symbolic Logic 66 (1):318-324.
Relative Randomness and Cardinality.George Barmpalias - 2010 - Notre Dame Journal of Formal Logic 51 (2):195-205.
Mapping a set of reals onto the reals.Arnold W. Miller - 1983 - Journal of Symbolic Logic 48 (3):575-584.

Analytics

Added to PP
2010-09-30

Downloads
372 (#126,962)

6 months
6 (#1,508,169)

Historical graph of downloads
How can I increase my downloads?