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Handbook of Modal Logic - 1st Edition - ISBN: 9780444516909, 9780080466668

Handbook of Modal Logic, Volume 3

1st Edition

Editors: Patrick Blackburn Johan van Benthem Frank Wolter
Hardcover ISBN: 9780444516909
eBook ISBN: 9780080466668
Imprint: Elsevier Science
Published Date: 3rd November 2006
Page Count: 1260
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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)


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:

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.


No. of pages:
© Elsevier Science 2006
3rd November 2006
Elsevier Science
Hardcover ISBN:
eBook ISBN:

Ratings and Reviews

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.