A Recursive Introduction to the Theory of Computation / Edition 1

A Recursive Introduction to the Theory of Computation / Edition 1

by Carl Smith
     
 

ISBN-10: 0387943323

ISBN-13: 9780387943329

Pub. Date: 10/14/1994

Publisher: Springer New York

The aim of this textbook is to present an account of the theory of computation. After introducing the concept of a model of computation and presenting various examples, the author explores the limitations of effective computation via basic recursion theory. Self-reference and other methods are introduced as fundamental and basic tools for constructing and

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Overview

The aim of this textbook is to present an account of the theory of computation. After introducing the concept of a model of computation and presenting various examples, the author explores the limitations of effective computation via basic recursion theory. Self-reference and other methods are introduced as fundamental and basic tools for constructing and manipulating algorithms. From there the book considers the complexity of computations and the notion of a complexity measure is introduced. Finally, the book culminates in considering time and space measures and in classifying computable functions as being either feasible or not. The author assumes only a basic familiarity with discrete mathematics and computing, making this textbook ideal for a graduate-level introductory course. It is based on many such courses presented by the author and so numerous exercises are included. In addition, the solutions to most of these exercises are provided.

Product Details

ISBN-13:
9780387943329
Publisher:
Springer New York
Publication date:
10/14/1994
Series:
Texts in Computer Science Series
Edition description:
1994
Pages:
148
Product dimensions:
9.00(w) x 6.00(h) x 0.50(d)

Table of Contents

1. Models of Computation.- 2. Basic Recursive Function Theory.- Abstract Complexity Theory.- 4. Complete Problems.- Solutions to Selected Exercises.- List of Symbols.

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