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Basic Simple Type Theory

£82.00

Part of Cambridge Tracts in Theoretical Computer Science

  • Date Published: July 1997
  • availability: Available
  • format: Hardback
  • isbn: 9780521465182

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  • Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. In this way, all the key ideas are covered without getting involved in the complications of more advanced systems, but concentrating rather on the principles that make the theory work in practice. This book takes a type-assignment approach to type theory, and the system considered is the simplest polymorphic one. The author covers all the basic ideas, including the system's relation to propositional logic, and gives a careful treatment of the type-checking algorithm which lies at the heart of every such system. Also featured are two other interesting algorithms that have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making the book at a level which can be used as an introduction to type theory for computer scientists.

    • The approach is via type-assignment, which makes it applicable to polymorphic systems and languages
    • Contains a full treatment of the type-checking algorithm by one of the pioneer developers of that algorithm
    • Contains very clear accounts of two other interesting algorithms which are otherwise buried in the technical literature
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    Product details

    • Date Published: July 1997
    • format: Hardback
    • isbn: 9780521465182
    • length: 200 pages
    • dimensions: 236 x 157 x 15 mm
    • weight: 0.45kg
    • contains: 10 b/w illus. 1 table
    • availability: Available
  • Table of Contents

    Introduction
    1. The type-free λ-calculus
    2. Assigning types to terms
    3. The principal-type algorithm
    4. Type assignment with equality
    5. A version using typed terms
    6. The correspondence with implication
    7. The converse principal-type algorithm
    8. Counting a type's inhabitants
    9. Technical details
    Answers to starred exercises
    Bibliography
    Table of principal types
    Index.

  • Author

    J. Roger Hindley, University of Wales, Swansea

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