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  • © 2017

Theory of Reversible Computing

Authors:

  • Authored by the leading scientist on the subject
  • Valuable reference work for anyone working in reversible computation and automata theory
  • First book written in English on reversible computing from the viewpoint of the theory of computing

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xvii
  2. Introduction

    • Kenichi Morita
    Pages 1-13
  3. Reversible Logic Elements with Memory

    • Kenichi Morita
    Pages 15-30
  4. Reversible Logic Gates

    • Kenichi Morita
    Pages 77-101
  5. Reversible Turing Machines

    • Kenichi Morita
    Pages 103-156
  6. Universal Reversible Turing Machines

    • Kenichi Morita
    Pages 173-201
  7. Space-Bounded Reversible Turing Machines

    • Kenichi Morita
    Pages 203-228
  8. Other Models of Reversible Machines

    • Kenichi Morita
    Pages 229-259
  9. Reversible Cellular Automata

    • Kenichi Morita
    Pages 261-298
  10. Back Matter

    Pages 449-457

About this book

This book describes reversible computing from the standpoint of the theory of automata and computing. It investigates how reversibility can be effectively utilized in computing. A reversible computing system is a “backward deterministic” system such that every state of the system has at most one predecessor. Although its definition is very simple, it is closely related to physical reversibility, one of the fundamental microscopic laws of Nature. Authored by the leading scientist on the subject, this book serves as a valuable reference work for anyone working in reversible computation or in automata theory in general.

This work deals with various reversible computing models at several different levels, which range from the microscopic to the macroscopic, and aims to clarify how computation can be carried out efficiently and elegantly in these reversible computing models. Because the construction methods are often unique and different from those in the traditional methods, these computing models as well as the design methods provide new insights for future computing systems.

Organized bottom-up, the book starts with the lowest scale of reversible logic elements and circuits made from them. This is followed by reversible Turing machines, the most basic computationally universal machines, and some other types of reversible automata such as reversible multi-head automata and reversible counter machines. The text concludes with reversible cellular automata for massively parallel spatiotemporal computation. In order to help the reader have a clear understanding of each model, the presentations of all different models follow a similar pattern: the model is given in full detail, a short informal discussion is held on the role of different elements of the model, and an example with illustrations follows each model. 

Reviews

“The book under review has several advantages in representation of reversible computing. First, exposition is developed in a rigorous theoretical setting of mathematical models of algorithms and automata. Second, the book has a high-quality and clear-cut architecture when exposition goes from the lowest level of reversible logic elements through reversible functional modules and composed logic elements to the high level of reversible abstract automata.” (Mark S. Burgin, zbMATH 1383.68002, 2018)

Authors and Affiliations

  • Professor Emeritus, Hiroshima University, Hiroshima, Japan

    Kenichi Morita

About the author

Kenichi Morita is a professor emeritus of Hiroshima University. He received a Ph.D. in engineering from Osaka University in 1978, and he was a professor of the Graduate School of Engineering, Hiroshima University. He is engaged in the research of automata theory, cellular automata, reversible computing, and formal language theory.


Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access