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Advances in Linear Logic

Advances in Linear Logic

CAD$105.95 (C)

Part of London Mathematical Society Lecture Note Series

  • Editors:
  • Jean-Yves Girard, Centre National de la Recherche Scientifique (CNRS), Paris
  • Yves Lafont, Centre National de la Recherche Scientifique (CNRS), Paris
  • Laurent Regnier, Centre National de la Recherche Scientifique (CNRS), Paris
J. Y. Girard, J. Lambek, A. Blass, T. Erhard, P. D. Lincoln, M. I. Kanovich, J. Mitchell, A. Scedrov, C. Fouqueré, J. Vauzeilles, S. Martini, A. Masini, V. Danos, J. B. Joinet, H. Schellinx, Y. Lafont, G. Bellin, J. Van De Wiele, V. M. Abrusci, F. Metayer
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  • Date Published: June 1995
  • availability: Available
  • format: Paperback
  • isbn: 9780521559614

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  • This volume gives an overview of linear logic in five parts: category theory; complexity and expressivity; proof theory; proof nets; and the geometry of interaction. The book includes a general introduction to linear logic that will ensure this book's use by the novice as well as the expert. Mathematicians and computer scientists will learn much from this book.

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    Product details

    • Date Published: June 1995
    • format: Paperback
    • isbn: 9780521559614
    • length: 400 pages
    • dimensions: 229 x 152 x 23 mm
    • weight: 0.59kg
    • availability: Available
  • Table of Contents

    Linear logic: its syntax and semantics J. Y. Girard
    Part I. Categories and Semantics:
    1. Bilinear logic in algebra and linguistics J. Lambek
    2. A category arising in linear logic, complexity theory and set theory A. Blass
    3. Hypercoherences: a strongly stable model of linear logic T. Erhard
    Part II. Complexity and Expressivity:
    4. Deciding provability of linear logic formulas P. D. Lincoln
    5. The direct simulation of Minsky machines in linear logic M. I. Kanovich
    6. Stochastic interaction and linear logic P. D. Lincoln, J. Mitchell and A. Scedrov
    7. Inheritance with exceptions C. Fouqueré and J. Vauzeilles
    Part III. Proof Theory:
    8. On the fine structure of the exponential rule S. Martini and A. Masini
    9. Sequent calculi for second order logic V. Danos, J. B. Joinet and H. Schellinx
    Part IV. Proff Nets:
    10. From proof nets to interaction nets Y. Lafont
    11. Empires and kingdoms in MLL G. Bellin and J. Van De Wiele
    12. Noncommutative proof nets V. M. Abrusci
    13. Volume of multiplicative formulas and provability F. Metayer
    Part V. Geometry of Interaction:
    14. Proof nets and Hilbert space V. Danos and L. Regnier
    15. Geometry of interacion III: accomodating the additives J. Y. Girard.

  • Editors

    Jean-Yves Girard, Centre National de la Recherche Scientifique (CNRS), Paris

    Yves Lafont, Centre National de la Recherche Scientifique (CNRS), Paris

    Laurent Regnier, Centre National de la Recherche Scientifique (CNRS), Paris

    Contributors

    J. Y. Girard, J. Lambek, A. Blass, T. Erhard, P. D. Lincoln, M. I. Kanovich, J. Mitchell, A. Scedrov, C. Fouqueré, J. Vauzeilles, S. Martini, A. Masini, V. Danos, J. B. Joinet, H. Schellinx, Y. Lafont, G. Bellin, J. Van De Wiele, V. M. Abrusci, F. Metayer

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