Applied Logic Series

Hybrid Logic and its Proof-Theory

Authors: Braüner, Torben

  • First book-length treatment of hybrid logic and its proof-theory
  • Gives a detailed introduction to propositional, first-order, and intuitionistic hybrid logic
  • Provides a detailed exposition of deductive systems for hybrid logics, including natural deduction, Gentzen, tableau, and axiom systems
  • Includes philosophical and historical background information
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  • ISBN 978-94-007-0002-4
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Hardcover $209.00
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  • ISBN 978-94-007-0001-7
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  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
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  • ISBN 978-94-007-3435-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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About this book

This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a series of statements about what happens at specific times. There is little consensus about proof-theory for ordinary modal logic. Many modal-logical proof systems lack important properties and the relationships between proof systems for different modal logics are often unclear. In the present book we demonstrate that hybrid-logical proof-theory remedies these deficiencies by giving a spectrum of well-behaved proof systems (natural deduction, Gentzen, tableau, and axiom systems) for a spectrum of different hybrid logics (propositional, first-order, intensional first-order, and intuitionistic).

Reviews

From the reviews:

"...the present book is a coherent, unified, and very readable entity.

Throughout the discussion is clear, informative, and natural. It can be recommended as a book to read, as well as to consult, after a basic exposure to hybrid logics.

The book ends with a somewhat philosophical discussion... I will not try to summarize the author’s points. I will say I enjoyed the discussion. And the book."


Melvin Fitting
The Graduate School and University Center
City University of New York
New York, USA

“This book grew out of nine research papers of the author, two of which are coauthored by T. Bolander and, respectively, V. de Paiva. The papers were converted into harmonically synchronized chapters of the book, which will certainly appeal to the reader … . The book contains lots of corresponding results, covering all important cases. … Undoubtedly, Braüner’s monograph fills a gap in the hybrid logic literature in a desirable way.” (Bernhard Heinemann, Zentralblatt MATH, Vol. 1217, 2011)


Table of contents (10 chapters)

  • Introduction to Hybrid Logic

    Braüner, Torben

    Pages 1-20

  • Proof-Theory of Propositional Hybrid Logic

    Braüner, Torben

    Pages 21-57

  • Tableaus and Decision Procedures for Hybrid Logic

    Braüner, Torben

    Pages 59-90

  • Comparison to Seligman’s Natural Deduction System

    Braüner, Torben

    Pages 91-107

  • Functional Completeness for a Hybrid Logic

    Braüner, Torben

    Pages 109-126

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-94-007-0002-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-94-007-0001-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-94-007-3435-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Hybrid Logic and its Proof-Theory
Authors
Series Title
Applied Logic Series
Series Volume
37
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-0002-4
DOI
10.1007/978-94-007-0002-4
Hardcover ISBN
978-94-007-0001-7
Softcover ISBN
978-94-007-3435-7
Series ISSN
1386-2790
Edition Number
1
Number of Pages
XIII, 231
Topics