Computability Theory

e-books in Computability Theory category

Computability, Unsolvability, Randomness
by Stephen G. Simpson - The Pennsylvania State University , 2009
I exposit Turing's theory of computability and unsolvability, as subsequently developed by Kleene and Post. Second, I provide an introductory account of a research area which is currently very active: algorithmic randomness and Kolmogorov complexity.
(5107 views)

Introduction to Computability Theory
by Dag Normann - The University of Oslo , 2010
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.
(5729 views)

Computability Theory
by Wilfried Sieg - Carnegie Mellon University , 2006
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.
(7770 views)

Computability and Complexity
- Wikibooks , 2010
This book is intended as an introductory textbook in Computability Theory and Complexity Theory, with an emphasis on Formal Languages. Its target audience is CS and Math students with some background in programming and data structures.
(9538 views)

Recursion Theory
by Frank Stephan - National University of Singapore , 2009
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.
(10415 views)

Computability and Randomness
by Andre Nies - Oxford University Press , 2008
Covering the basics as well as recent research results, this book provides an introduction to the interface of computability and randomness for graduates and researchers in computability theory, theoretical computer science, and measure theory.
(11780 views)

Computability and Complexity from a Programming Perspective
by Neil D. Jones - The MIT Press , 1997
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.
(12306 views)

Prolog Experiments in Discrete Mathematics, Logic, and Computability
by James Hein - Portland State University , 2009
Programming experiments designed to help learning of discrete mathematics, logic, and computability. Most of the experiments are short and to the point, just like traditional homework problems, so that they reflect the daily classroom work.
(20624 views)