Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Gödel's incompleteness theorem, using an infor

Algorithmic information theory (AIT), or Kolmogorov complexity as it is known to mathematicians, can provide a useful tool for scientists to look at natural sys

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

Algorithmic Information Theory treats the mathematics of many important areas in digital information processing. It has been written as a read-and-learn book on