Nigel J. Cutland: Computability: An Introduction to Recursive Function Theory

Computability: An Introduction to Recursive Function Theory


Description

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 Gildel'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.

Including over 37,000 entries compiled by a team of expert Yiddish linguists, Comprehensive Yiddish-English Dictionary surpasses all its predecessors in the number of words and rich selection of idioms, examples of usage, and coverage of stylistic levels and dialect forms. The user-friendly entries include words for standard and Computability: An Introduction to Recursive Function Theory free epub literary as well as contemporary colloquial and conversational usage and a wide range of terms from all sources of Yiddish, including those of Hebraic-Aramaic, Slavic, and Romance as well as Germanic origin. The lexical corpus comes directly from the highly acclaimed Dictionnaire Yiddish-Francais by Yitskhok Niborski and Bernard Vaisbrot, published by the Bibliotheque Medem in Paris in 2002. Augmented by an extensive user's guide, this volume is an indispensable resource for students, teachers, translators, and readers of Yiddish.


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Author: Nigel J. Cutland
Number of Pages: 264 pages
Published Date: 01 Nov 1980
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
ISBN: 9780521294652
Download Link: Click Here
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