Looking at a sequence of zeros and ones, we often feel that it is not random, that is, it is not plausible as an outcome of fair coin tossing. Why? The answer i

Computability and complexity theory are two central areas of research in theoretical computer science. This book provides a systematic, technical development of

Briefly, we review the basic elements of computability theory and prob ability theory that are required. Finally, in order to place the subject in the appropria

The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshop

Algorithmic Learning in a Random World describes recent theoretical and experimental developments in building computable approximations to Kolmogorov's algorith