Computability and Randomness
by Andre Nies
Publisher: Oxford University Press 2008
Number of pages: 447
Covering the basics as well as recent research results, this book provides a very readable introduction to the exciting interface of computability and randomness for graduates and researchers in computability theory, theoretical computer science, and measure theory.
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by Neil D. Jones - The MIT Press
The author builds a bridge between computability and complexity theory and other areas of computer science. Jones uses concepts familiar from programming languages to make computability and complexity more accessible to computer scientists.
by Frank Stephan - National University of Singapore
Recursion theory deals with the fundamental concepts on what subsets of natural numbers could be defined effectively and how complex the so defined sets are. This text gives an overview on the basic results and proof methods in recursion theory.
by Wilfried Sieg - Carnegie Mellon University
Computability is the basic theoretical concept for computer science, artificial intelligence and cognitive science. This essay discusses, at its heart, methodological issues that are central to any theory that is to reflect parts of our experience.
by Dag Normann - The University of Oslo
This text is consisting of two parts, Classical Computability Theory and Generalized Computability Theory. We assume that the reader is familiar with the standard vocabulary of logic and set theory, but no advanced background from logic is required.