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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
January 2011
Adobe eBook Reader
9780511892677
$76.99
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Paperback
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    Description

    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

    January 2011
    Adobe eBook Reader
    9780511892677
    0 pages
    0kg
    1 b/w illus.
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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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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      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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