Van Lambalgen's Theorem and High Degrees

Notre Dame Journal of Formal Logic 52 (2):173-185 (2010)
Abstract
We show that van Lambalgen's Theorem fails with respect to recursive randomness and Schnorr randomness for some real in every high degree and provide a full characterization of the Turing degrees for which van Lambalgen's Theorem can fail with respect to Kurtz randomness. However, we also show that there is a recursively random real that is not Martin-Löf random for which van Lambalgen's Theorem holds with respect to recursive randomness
Keywords van Lambalgen's Theorem   Schnorr randomness   recursive randomness   Kurtz randomness
Categories (categorize this paper)
DOI 10.1215/00294527-1306181
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: 27,204
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Schnorr Randomness.Rodney G. Downey & Evan J. Griffiths - 2004 - Journal of Symbolic Logic 69 (2):533 - 554.
The Axiomatization of Randomness.van Lambalgen Michiel - 1990 - Journal of Symbolic Logic 55 (3):1143-1167.
Independence, Randomness and the Axiom of Choice.van Lambalgen Michiel - 1992 - Journal of Symbolic Logic 57 (4):1274-1304.
Von Mises' Definition of Random Sequences Reconsidered.Van Lambalgen Michiel - 1987 - Journal of Symbolic Logic 52 (3):725-755.
Formal Models for Real People.Michiel van Lambalgen & Marian Counihan - 2008 - Journal of Logic, Language and Information 17 (4):385-389.
The Ergodic Hierarchy, Randomness and Hamiltonian Chaos.Joseph Berkovitz, Roman Frigg & Fred Kronz - 2006 - Studies in History and Philosophy of Science Part B 37 (4):661-691.

Monthly downloads

Added to index

2011-04-29

Total downloads

643 ( #1,890 of 2,164,249 )

Recent downloads (6 months)

32 ( #9,647 of 2,164,249 )

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