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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

Part of London Mathematical Society Lecture Note Series

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
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  • Date Published: September 1992
  • availability: Available
  • format: Paperback
  • isbn: 9780521427265

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  • Category theory and related topics of mathematics have been increasingly applied to computer science in recent years. This book contains selected papers from the London Mathematical Society Symposium on the subject which was held at the University of Durham. Participants at the conference were leading computer scientists and mathematicians working in the area and this volume reflects the excitement and importance of the meeting. All the papers have been refereed and represent some of the most important and current ideas. Hence this book will be essential to mathematicians and computer scientists working in the applications of category theory.

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

    • Date Published: September 1992
    • format: Paperback
    • isbn: 9780521427265
    • length: 352 pages
    • dimensions: 229 x 152 x 20 mm
    • weight: 0.52kg
    • contains: 1 b/w illus.
    • availability: Available
  • 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.

  • 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.

    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

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