Abnormality and randomness
โ Scribed by Eric Neufeld
- Book ID
- 113643741
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 200 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0888-613X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
It is well-known that a rigorous operational definition of randomness is very hard to formulate in terms of classical mathematical primitives. This difficulty is reflected in the difficulty of deciding whether a given (pseudo-)random number sequence is "sufficiently random". Intuitively, we want the
Schnorr randomness and computable randomness are natural concepts of random sequences. However van Lambalgen's Theorem fails for both randomnesses. In this paper we define truth-table Schnorr randomness (defined in [6] too only by martingales) and truth-table reducible randomness, for which we prove