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  • Textbook
  • © 2005

Abstract Computing Machines

A Lambda Calculus Perspective

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  • Emphasizes the design of full-fledged, fully normalizing Lambda-calculus machinery, as opposed to the just weakly normalizing machines

  • Includes supplementary material: sn.pub/extras

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  • ISBN: 978-3-540-27359-2
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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XIV
  2. Introduction

    Pages 1-9
  3. The λ-Calculus

    Pages 51-88
  4. The B-Machine

    Pages 171-191
  5. The G-Machine

    Pages 193-213
  6. The π-red Machinery

    Pages 215-252
  7. Pattern Matching

    Pages 253-269
  8. Real Computing Machines

    Pages 321-346
  9. Back Matter

    Pages 347-384

About this book

The book addresses ways and means of organizing computations, highlighting the relationship between algorithms and the basic mechanisms and runtime structures necessary to execute them using machines. It completely abstracts from concrete programming languages and machine architectures, taking instead the lambda calculus as the basic programming and program execution model to design various abstract machines for its correct implementation.

The emphasis is on fully normalizing machines based on full-fledged beta-reductions as essential prerequisites for symbolic computations that treat functions and variables truly as first-class objects. Their weakly normalizing counterparts are shown to be functional abstract machines that sacrifice the flavors of full beta-reductions for decidedly simpler runtime structures and improved runtime efficiency. Further downgrading of the lambda calculus leads to classical imperative machines that permit side-effecting operations on the runtime environment.

Keywords

  • Abstract Machines
  • Algorithmic Language
  • Beta
  • Compiled Code Execution
  • Interpretation
  • Lambda Calculus
  • Processors
  • Programming Languages
  • Variable
  • algorithms
  • programming language

Reviews

From the reviews:

"This remarkable monograph is an extremely well-written and pleasant and reading about abstract computing machines … . The author chooses a somewhat ‘imperative’ approach to teaching, which results in the survey of a vast number of concepts provided with many useful examples. The expository style is most favourable, which could be of special value for a reader with no strong background in the area. … Altogether, this is a book worth reading." (Vladimir Komendantsky, Mathematical Reviews, Issue 2007 k)

Authors, Editors and Affiliations

  • Institut für Informatik der TUM, Garching, Germany

    W. Brauer

  • Leiden Institute of Advanced Computer Science, University of Leiden, CA Leiden, The Netherlands

    G. Rozenberg

  • Turku Centre for Computer Science, Turku, Finland

    A. Salomaa

  • Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität zu Kiel, Kiel, Germany

    W. Kluge

About the editors

Received a Dr. rer. nat. degree in physics from the Technical University Munich/Germany in 1968; worked in industrie/research institutes at the central laboratories of Siemens AG between 1963 and 1968, at Bell Northern Research Ltd in Ottawa/Canada between 1969, and 1972 at the Gesellschaft fuer Mathematik und Datenverarbeitung in St. Augustin/Germany between 1973 and 1978; became an associate professor of computer science at the University of Bonn/Germany in 1978; became a full professor of computer science at the University of Kiel/Germany retired in 2003.

Bibliographic Information

Buying options

eBook
USD 84.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-27359-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 109.00
Price excludes VAT (USA)
Hardcover Book
USD 109.99
Price excludes VAT (USA)