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Linear Logic in Computer Science

Linear Logic in Computer Science

$116.00 (C)

Part of London Mathematical Society Lecture Note Series

R. Blute, Ph. Scott, S. Guerrini, D. Miller, G. Winskel, J. M. Andreoli, C. Faggian, M. R. Fleury-Donnadieu, M. Quatrini, O. Laurent, L. Tortora de Falco, P. A. Melliès, J. Lambek, J. Y. Girard
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  • Date Published: November 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521608572

$ 116.00 (C)
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About the Authors
  • Linear logic is a branch of proof theory which provides refined tools for the study of the computational aspects of proofs. These tools include a duality-based categorical semantics, an intrinsic graphical representation of proofs, the introduction of well-behaved non-commutative logical connectives, and the concepts of polarity and focalisation. These various aspects are illustrated here through introductory tutorials as well as more specialised contributions, with a particular emphasis on applications to computer science: denotational semantics, lambda-calculus, logic programming and concurrency theory. The volume is rounded-off by two invited contributions on new topics rooted in recent developments of linear logic. The book derives from a summer school that was the climax of the EU Training and Mobility of Researchers project 'Linear Logic in Computer Science'. It is an excellent introduction to some of the most active research topics in the area.

    • An introduction to some of the most active research topics in the area
    • Contains advanced contributions on recent trends and new directions in the topic
    • The book derives from a summer school that was the climax of the EU Training and Mobility of Researchers project 'Linear Logic in Computer Science'
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    Product details

    • Date Published: November 2004
    • format: Paperback
    • isbn: 9780521608572
    • length: 392 pages
    • dimensions: 228 x 153 x 23 mm
    • weight: 0.52kg
    • contains: 75 exercises
    • availability: Available
  • Table of Contents

    Preface
    List of contributors
    Part I. Tutorials:
    1. Category theory for linear logicians R. Blute and Ph. Scott
    2. Proof nets and the x-calculus S. Guerrini
    3. An overview of linear logic programming D. Miller
    4. Linearity and nonlinearity in distributed computation G. Winskel
    Part II. Refereed Articles:
    5. An axiomatic approach to structural rules for locative linear logic J. M. Andreoli
    6. An introduction to uniformity in ludics C. Faggian, M. R. Fleury-Donnadieu and M. Quatrini
    7. Slicing polarized addictive normalization O. Laurent and L. Toratora De Falco
    8. A topological correctness criterion for muliplicative noncommutative logic P.A. Melliès
    Part III. Invited Articles:
    9. Bicategories in algebra and linguistics J. Lambek
    10. Between logic and quantic: a tract J. Y. Girard.

  • Editors

    Thomas Ehrhard, Institut de Mathématiques de Luminy, Marseille

    Jean-Yves Girard, Institut de Mathématiques de Luminy, Marseille

    Paul Ruet, Institut de Mathématiques de Luminy, Marseille

    Philip Scott, University of Ottawa

    Contributors

    R. Blute, Ph. Scott, S. Guerrini, D. Miller, G. Winskel, J. M. Andreoli, C. Faggian, M. R. Fleury-Donnadieu, M. Quatrini, O. Laurent, L. Tortora de Falco, P. A. Melliès, J. Lambek, J. Y. Girard

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