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Independence-Friendly Logic
A Game-Theoretic Approach

£62.99

Part of London Mathematical Society Lecture Note Series

  • Date Published: May 2011
  • availability: In stock
  • format: Paperback
  • isbn: 9780521149341

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  • Bringing together over twenty years of research, this book gives a complete overview of independence-friendly logic. It emphasizes the game-theoretical approach to logic, according to which logical concepts such as truth and falsity are best understood via the notion of semantic games. The book pushes the paradigm of game-theoretical semantics further than the current literature by showing how mixed strategies and equilibria can be used to analyze independence-friendly formulas on finite models. The book is suitable for graduate students and advanced undergraduates who have taken a course on first-order logic. It contains a primer of the necessary background in game theory, numerous examples and full proofs.

    • Collects and systematizes results from the last 20 years
    • Provides the necessary background in game theory
    • Includes numerous examples and full proofs
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    Reviews & endorsements

    '… well-written and a valuable source for anyone interested in game-theoretic approaches to logic and in the emergent logical study of dependence and independence phenomena.' Theory and Practice of Logic Programming

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    Product details

    • Date Published: May 2011
    • format: Paperback
    • isbn: 9780521149341
    • length: 216 pages
    • dimensions: 227 x 152 x 11 mm
    • weight: 0.32kg
    • contains: 20 b/w illus.
    • availability: In stock
  • Table of Contents

    Preface
    1. Introduction
    2. Game theory
    3. First-order logic
    4. Independence-friendly (IF) logic
    5. Properties of IF logic
    6. Expressive power of IF logic
    7. Probabilistic IF logic
    8. Further topics
    References
    Index.

  • Authors

    Allen L. Mann, University of Tampere, Finland
    Allen L. Mann is a Postdoctoral Researcher in the Department of Mathematics and Statistics at the University of Tampere, Finland.

    Gabriel Sandu, University of Helsinki
    Gabriel Sandu is a Professor of Theoretical Philosophy at the University of Helsinki, Finland.

    Merlijn Sevenster, Philips Research Laboratories, The Netherlands
    Merlijn Sevenster is a Senior Researcher in Healthcare Information Management at Philips Research, The Netherlands.

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