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Applications of Categories in Computer Science

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
July 1992
Paperback
9780521427265
$76.99
USD
Paperback
USD
eBook

    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

    Product details

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