Computability and Complexity: From a Programming Perspective (Foundations of Computing) (FOUNDATIONS OF COMPUTING SERIES)

Jones, Neil D.

ISBN 10: 0262100649 / ISBN 13: 9780262100649

Published by MIT Press, 1997

About this Item

Seller Inventory # 47U57_73_0262100649

Bibliographic Details

• Title: Computability and Complexity: From a Programming Perspective (Foundations of Computing) (FOUNDATIONS OF COMPUTING SERIES)
• Publisher: MIT Press
• Publication Date: 1997
• Language: English
• ISBN 10: 0262100649
• ISBN 13: 9780262100649
• Binding: Hardcover
• Condition: new

About this title

Synopsis

Computability and complexity theory should be of central concern to practitioners as well as theorists. Unfortunately, however, the field is known for its impenetrability. Neil Jones's goal as an educator and author is to build a bridge between computability and complexity theory and other areas of computer science, especially programming. In a shift away from the Turing machine- and Gödel number-oriented classical approaches, Jones uses concepts familiar from programming languages to make computability and complexity more accessible to computer scientists and more applicable to practical programming problems.

According to Jones, the fields of computability and complexity theory, as well as programming languages and semantics, have a great deal to offer each other. Computability and complexity theory have a breadth, depth, and generality not often seen in programming languages. The programming language community, meanwhile, has a firm grasp of algorithm design, presentation, and implementation. In addition, programming languages sometimes provide computational models that are more realistic in certain crucial aspects than traditional models.

New results in the book include a proof that constant time factors do matter for its programming-oriented model of computation. (In contrast, Turing machines have a counterintuitive "constant speedup" property: that almost any program can be made to run faster, by any amount. Its proof involves techniques irrelevant to practice.) Further results include simple characterizations in programming terms of the central complexity classes PTIME and LOGSPACE, and a new approach to complete problems for NLOGSPACE, PTIME, NPTIME, and PSPACE, uniformly based on Boolean programs.

Foundations of Computing series

About the Author

Neil D. Jones is Professor of Computer Science at the University of Copenhagen.