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  • Textbook
  • © 2009

Models of Computation

An Introduction to Computability Theory

  • Provides an in-depth analysis of the basic concepts underlying the models of computation that underpin the most well-known families of programming languages

Part of the book series: Undergraduate Topics in Computer Science (UTICS)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XI
  2. Introduction

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Maribel Fernández
      Pages 1-7
  3. Traditional Models of Computation

    1. Front Matter

      Pages 9-9
    2. Automata and Turing Machines

      • Maribel Fernández
      Pages 11-32
    3. The Lambda Calculus

      • Maribel Fernández
      Pages 33-53
    4. Recursive Functions

      • Maribel Fernández
      Pages 55-68
    5. Logic-Based Models of Computation

      • Maribel Fernández
      Pages 69-89
  4. Modern Models of Computation

    1. Front Matter

      Pages 91-91
    2. Computing with Objects

      • Maribel Fernández
      Pages 93-105
    3. Interaction-Based Models of Computation

      • Maribel Fernández
      Pages 107-130
    4. Concurrency

      • Maribel Fernández
      Pages 131-149
    5. Emergent Models of Computation

      • Maribel Fernández
      Pages 151-157
    6. Answers to Selected Exercises

      • Maribel Fernández
      Pages 159-178
  5. Back Matter

    Pages 179-184

About this book

A Concise Introduction to Computation Models and Computability Theory provides an introduction to the essential concepts in computability, using several models of computation, from the standard Turing Machines and Recursive Functions, to the modern computation models inspired by quantum physics. An in-depth analysis of the basic concepts underlying each model of computation is provided.

Divided into two parts, the first highlights the traditional computation models used in the first studies on computability: - Automata and Turing Machines; - Recursive functions and the Lambda-Calculus; - Logic-based computation models.

and the second part covers object-oriented and interaction-based models. There is also a chapter on concurrency, and a final chapter on emergent computation models inspired by quantum mechanics.

At the end of each chapter there is a discussion on the use of computation models in the design of programming languages.

Reviews

From the reviews:

"The focus of this relatively short book is on newer object-oriented and interaction-oriented models, including recent work in quantum computing and systems biology. … the book is designed for advanced undergraduate and graduate students. … Each chapter starts by clearly indicating what will be covered and ends with a series of exercises. … the book as a whole is extremely well written. Definitions are clearly stated … . Each model of computation is precisely defined, and the examples are clear and to the point." (K. Harrow, ACM Computing Reviews, September, 2009)

“It is a pleasure to see a book which takes a different approach to computer theory. … This short book can be used for a one-term course … . A valuable primer for students of programming languages. Summing Up: Highly recommended. Upper-division undergraduates and graduate students.” (P. Cull, Choice, Vol. 47 (3), November, 2009)

Authors and Affiliations

  • Dept. Computer Science Strand, King’s College London, London, United Kingdom WC2R 2LS

    Maribel Fernández

Bibliographic Information

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access