Computability: An Introduction to Recursive Function Theory

Cutland, Nigel

ISBN 10: 0521294657 / ISBN 13: 9780521294652

Published by Cambridge University Press, 1980

About this Item

This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Re-bound by library. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:0521294657.

Seller Inventory # 5571560

Bibliographic Details

• Title: Computability: An Introduction to Recursive Function Theory
• Publisher: Cambridge University Press
• Publication Date: 1980
• Language: English
• ISBN 10: 0521294657
• ISBN 13: 9780521294652
• Binding: Hardcover
• Condition: Good
• Seller catalogs:
  • Mathematics

About this title

Synopsis

What can computers do in principle? What are their inherent theoretical limitations? These are questions to which computer scientists must address themselves. The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function: intuitively a function whose values can be calculated in an effective or automatic way. This book is an introduction to computability theory (or recursion theory as it is traditionally known to mathematicians). Dr Cutland begins with a mathematical characterisation of computable functions using a simple idealised computer (a register machine); after some comparison with other characterisations, he develops the mathematical theory, including a full discussion of non-computability and undecidability, and the theory of recursive and recursively enumerable sets. The later chapters provide an introduction to more advanced topics such as Gödel's incompleteness theorem, degrees of unsolvability, the Recursion theorems and the theory of complexity of computation. Computability is thus a branch of mathematics which is of relevance also to computer scientists and philosophers. Mathematics students with no prior knowledge of the subject and computer science students who wish to supplement their practical expertise with some theoretical background will find this book of use and interest.

Book Description

This introduction to recursive theory computability begins with a mathematical characterization of computable functions, develops the mathematical theory and includes a full discussion of noncomputability and undecidability. Later chapters move on to more advanced topics such as degrees of unsolvability and Gödel's Incompleteness Theorem.