A Recursive Introduction to the Theory of Computation

ISBN-13: 9780387943329 / Angielski / Twarda / 1994 / 148 str.

Christopher Smith; Carl Smith

Opis

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.

Spis treści

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