Trends in Logic

Dual Tableaux: Foundations, Methodology, Case Studies

Authors: Orlowska, Ewa, Golińska Pilarek, Joanna

  • The first book on the topic that provides a self-contained presentation of the field
  • Presents an up-to-date, unifying treatment of the research in dual tableaux theory
  • Explores applications of dual tableaux and contemporary applied theories such as temporal reasoning, spatial reasoning, order-of-magnitude reasoning, fuzzy logic, rough set logics
  • Serves as a reference work for researchers and graduate students
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  • Immediate eBook download after purchase
Hardcover $229.00
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  • ISBN 978-94-007-0004-8
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Softcover $229.00
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  • ISBN 978-94-007-3436-4
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  • Usually dispatched within 3 to 5 business days.
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About this book

The book presents logical foundations of dual tableaux together with a number of their applications both to logics traditionally dealt with in mathematics and philosophy (such as modal, intuitionistic, relevant, and many-valued logics) and to various applied theories of computational logic (such as temporal reasoning, spatial reasoning, fuzzy-set-based reasoning, rough-set-based reasoning, order-of magnitude reasoning, reasoning about programs, threshold logics, logics of conditional decisions). The distinguishing feature of most of these applications is that the corresponding dual tableaux are built in a relational language which provides useful means of presentation of the theories. In this way modularity of dual tableaux is ensured. We do not need to develop and implement each dual tableau from scratch, we should only extend the relational core common to many theories with the rules specific for a particular theory.

Reviews

From the reviews:

“This book is an excellent guide for a unified treatment of the many logics surveyed … . this book unifies a collection of topics and systems that are hard to find elsewhere, and testifies to the increasing interest in non-classical logic. … Overall, it is undoubtedly a book to have in your library.” (Walter Carnielli, Studia Logica, Vol. 101, 2013)

“This book surveys the theory and applications of the method of dual tableaux introduced by Rasiowa and Sikorski in the 1960s. A broad range of theories have been studied using this framework, and most of them are included here. … Overall, the book introduces a thorough and in-depth study of the different applications of the framework of dual tableaux.” (Manuel Ojeda-Aciego, Mathematical Reviews, Issue 2012 f)

“Providing a reference for researchers and students, this book presents the fundamental concepts of dual tableaux and a wide scope of applications. These include logic methods used in mathematics and philosophy as well as applied theories of computational logic.” (Branislav Boričić, Zentralblatt MATH, Vol. 1210, 2011)


Table of contents (25 chapters)

  • Dual Tableau for Classical First-Order Logic

    Orłowska, Ewa (et al.)

    Pages 3-31

  • Dual Tableaux for Logics of Classical Algebras of Binary Relations

    Orłowska, Ewa (et al.)

    Pages 33-67

  • Theories of Point Relations and Relational Model Checking

    Orłowska, Ewa (et al.)

    Pages 69-82

  • Dual Tableaux for Peirce Algebras

    Orłowska, Ewa (et al.)

    Pages 85-103

  • Dual Tableaux for Fork Algebras

    Orłowska, Ewa (et al.)

    Pages 105-120

Buy this book

eBook $179.00
price for USA (gross)
  • ISBN 978-94-007-0005-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $229.00
price for USA
  • ISBN 978-94-007-0004-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $229.00
price for USA
  • ISBN 978-94-007-3436-4
  • 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
Dual Tableaux: Foundations, Methodology, Case Studies
Authors
Series Title
Trends in Logic
Series Volume
33
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-0005-5
DOI
10.1007/978-94-007-0005-5
Hardcover ISBN
978-94-007-0004-8
Softcover ISBN
978-94-007-3436-4
Series ISSN
1572-6126
Edition Number
1
Number of Pages
XVI, 523
Topics