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Look Inside First Steps in Modal Logic

First Steps in Modal Logic

$62.99 (P)

  • Date Published: January 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521057936

$ 62.99 (P)
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  • This is a graduate-level text for a first course in propositional modal logic. It is written from the semantical point of view rather than the more usual proof theoretic approach, and the book covers all basic material including the propositional languages, the semantics and correspondence results, and proof systems and completeness results--as well as some topics not usually covered in a modal logic course, such as bisimulation. Important features of the book are the many exercises and extensive set of solutions that are included.

    Reviews & endorsements

    "This text should appeal to anyone with an interest in model logic...an attractive choice for self-study." J.M. Plotkin, Mathematical Reviews

    "...offers a distinctive viewpoint and is easy to learn from." D.V. Feldman, Choice

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    Product details

    • Date Published: January 2008
    • format: Paperback
    • isbn: 9780521057936
    • length: 332 pages
    • dimensions: 228 x 153 x 20 mm
    • weight: 0.542kg
    • availability: Available
  • Table of Contents

    Introduction
    Acknowledgements
    Part I. Preliminaries:
    1. Survey of propositional logic
    2. The modal language
    Part II. Transition Structures and Semantics:
    3. Labelled transition structures
    4. Valuation and satisfaction
    5. Correspondence theory
    6. The general confluence result
    Part III. Proof Theory and Completeness:
    7. Some consequence relations
    8. Standard formal systems
    9. The general completeness result
    10. Kripke-completeness
    Part IV. Model Constructions:
    11. Bismulations
    12. Filtrations
    13. The finite model property
    Part V. More Advanced Material:
    14. SLL logic
    15. Löb logic
    16. Canonicity without the fmp
    17. Transition structures aren't enough
    Part VI. Two Appendices: Bibliography.

  • Author

    Sally Popkorn

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