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Applications of Categories in Computer Science

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Applications of Categories in Computer Science

Applications of Categories in Computer Science

Proceedings of the London Mathematical Society Symposium, Durham 1991
M. P. Fourman, University of Edinburgh
P. T. Johnstone, University of Cambridge
A. M. Pitts, University of Cambridge
June 1992
Available
Paperback
9780521427265
$82.00
USD
Paperback
USD
eBook
    Beskrivning

    Applications of category theory and related topics of mathematics to computer science have been a growing area in recent years. This book contains selected papers on the subject from the London Mathematical Society Symposium held at the University of Durham in July 1991.

    • Potentially wide market - relevant to computer scientists as well as mathematicians

    Product details

    June 1992
    Paperback
    9780521427265
    352 pages
    229 × 152 × 20 mm
    0.505kg
    1 b/w illus.
    Available

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    This title is available for institutional purchase via Cambridge Core

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    The Review of Symbolic Logic is designed to cultivate research on theborders of logic, philosophy, and the sciences, and to supportsubstantive interactions between these disciplines. The journalwelcomes submissions in any of the following areas, broadly construed: - The general study of logical systems and their semantics,including non-classical logics and algebraic logic; - Philosophical logic and formal epistemology, including interactions with decision theory and game theory; - The history, philosophy, and methodology of logic and mathematics, including the history of philosophy of logic and mathematics; - Applications of logic to the sciences, such as computer science, cognitive science, and linguistics; and logical results addressing foundational issues in the sciences. The Review welcomes submissions in all these areas. (For informationon how to submit papers, see Guidelines below.) The Review beganpublication in June 2008.

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    Contents

    Table of Contents

    • Preface
    • Computational comonads and intensional semantics S. Brookes and S. Geva
    • Weakly distributed categories J. R. B. Cockett and R. A. G. Seely
    • Sequentiality and full abstraction P.-L. Curien
    • Remarks on algebraically compact categories P. J. Freyd
    • Dinaturality for free P. J. Freyd, E. P. Robinson and G. Rosolini
    • Simply typed and untyped l-calculus revisited B. Jacobs
    • Modelling reduction in confluent categories C. B. Jay
    • On clubs and data-type constructors G. M. Kelly
    • Penrose diagrams and 2-dimensional rewriting Y. Lafont
    • Strong monads, algebras and fixed points P. S. Mulry
    • Semantics of local variables P. W. O'Hearn and R. D. Tennant
    • Using fibrations to understand subtypes W. Phoa
    • Reasoning about sequential functions via logical relations K. Sieber
    • I-categories and duality M. B. Smyth
    • Geometric theories and databases S. Vickers
    • Partial products, bagdomains and hyperlocal toposes P. T. Johnstone.
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    Additional Information
    About the authors
      Contributors

    • S. Brookes, S. Geva, J. R. B. Cockett, R. A. G. Seely, P.-L. Curien, P. J. Freyd, E. P. Robinson, G. Rosolini, B. Jacob, C. B. Jay, G. M. Kelly, Y. Lafont, P. S. Mulry, P. W. O'Hearn, R. D. Tennant, W. Phoa, K. Sieber, M. B. Smyth, S. Vickers, P. T. Johnstone

      • Editors
    • M. P. Fourman , University of Edinburgh
    • P. T. Johnstone , University of Cambridge
    • A. M. Pitts , University of Cambridge

      Andrew Pitts FACM FBCS is Professor of Theoretical Computer Science at the University of Cambridge and a Fellow of Darwin College.

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