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Linear Logic in Computer Science

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Linear Logic in Computer Science

Linear Logic in Computer Science

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
November 2004
Paperback
9780521608572
$99.99
USD
Paperback
USD
eBook
    Description

    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'

    Product details

    November 2004
    Paperback
    9780521608572
    392 pages
    228 × 153 × 23 mm
    0.52kg
    75 exercises
    Available

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    Contents

    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.
      • Show more

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    About the authors
      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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