Handbook of Modal Logic

Handbook of Modal Logic

1st Edition - November 3, 2006

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  • Editors: Patrick Blackburn, Johan van Benthem, Frank Wolter
  • eBook ISBN: 9780080466668

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The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise. Please visit:http://people.uleth.ca/~woods/RedSeriesPromo_WP/PubSLPR.html

Key Features

- Compact modal logic reference
- Computational approaches fully discussed
- Contemporary applications of modal logic covered in depth


Researchers in logic, computer science, artificial intelligence, linguistics, philosophy and mathematics.

Table of Contents

  • List of Contributors

    Preface (P. Blackburn, J. van Benthem and F. Wolter)

    Part 1. Basic Theory
    Modal Logic: A Semantic Perspective (J. van Benthem and P. Blackburn)
    Modal Proof Theory (M. Fitting)
    Complexity of Modal Logic (M. Marx)
    Computational Modal Logic (I. Horrocks, U. Hustadt, U. Sattler, R. Schmidt)
    Part 2. Advanced Theory
    Model Theory of Modal Logic (V. Goranko and M. Otto)
    Algebras and Co-algebras (Y. Venema)
    Modal Decision Problems (F. Wolter and M. Zakharyaschev)
    Modal Consequence Relations (M. Kracht)
    Part 3. Variations and Extensions
    First-order Modal Logic (T. Bräuner and S. Ghilardi)
    Higher Order Modal Logic (R. Muskens)
    Temporal Logic (I. Hodkinson and M. Reynolds)
    Modal Mu-Calculi (J. Bradfield and C. Stirling)
    Description Logic (F. Baader and C. Lutz)
    Hybrid Logics (C. Areces adn B. ten Cate)
    Combining Modal Logics (A. Kurucz)
    Part 4. Variations and Extensions
    Modal Logic in Mathematics (S. Artemov)
    Automata-theoretic Techniques for Temporal Reasoning (M. Vardi)
    Intelligent Agents and Common-sense Reasoning (J.-J. Meyer and F. Veltman)
    Applications of Modal Logic in Lingistics (L. Moss and H.-J. Tiede)
    Modal Logic for Games and Information (W. van der Hoek and M. Pauly)
    Modal Logic and Philosophy (S. Lindström and K. Segerberg)

Product details

  • No. of pages: 1260
  • Language: English
  • Copyright: © Elsevier Science 2006
  • Published: November 3, 2006
  • Imprint: Elsevier Science
  • eBook ISBN: 9780080466668

About the Editors

Patrick Blackburn

Affiliations and Expertise

INRIA Lorraine, Villers les Nancy, France

Johan van Benthem

Affiliations and Expertise

Institute for Logic, Language & Computation, University of Amsterdam, The Netherlands

Frank Wolter

Affiliations and Expertise

University of Liverpool, Department of Computer Science, Liverpool, U.K.

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