Van Lambalgen's Theorem and High Degrees

Notre Dame Journal of Formal Logic 52 (2):173-185 (2010)
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
 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
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 19,940
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
Rodney G. Downey & Evan J. Griffiths (2004). Schnorr Randomness. Journal of Symbolic Logic 69 (2):533 - 554.
Michiel Van Lambalgen (1990). The Axiomatization of Randomness. Journal of Symbolic Logic 55 (3):1143 - 1167.
Michiel van Lambalgen (1990). The Axiomatization of Randomness. Journal of Symbolic Logic 55 (3):1143-1167.
Michiel Van Lambalgen (1989). Algorithmic Information Theory. Journal of Symbolic Logic 54 (4):1389 - 1400.
Michiel van Lambalgen & Marian Counihan (2008). Formal Models for Real People. Journal of Logic, Language and Information 17 (4):385-389.

Monthly downloads

Added to index


Total downloads

511 ( #1,833 of 1,792,018 )

Recent downloads (6 months)

181 ( #1,059 of 1,792,018 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.