Short Textbooks in Logic

Neighborhood Semantics for Modal Logic

Authors: Pacuit, Eric

  • Provides both the relevant technical background and an overview of the key applications of neighborhood semantics in modal logic
     
    Introduces the main techniques for reasoning about neighborhood structures with a modal language
     
    Highlights the most convincing applications of neighborhood semantics for modal logic
     
    Includes applications such as coalitional logic, game logic, dynamic logics of belief and evidence, subset space logic, and first-order extensions
     
    Explains the precise relationship between neighborhood models and relational models, topological models, plausibility models, and (two-sorted) first-order logic

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eBook $19.99
price for USA (gross)
  • ISBN 978-3-319-67149-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $24.99
price for USA
  • ISBN 978-3-319-67148-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic (the so-called non-normal modal logics).  
In addition, the book discusses a broad range of topics, including standard modal logic results (i.e., completeness, decidability and definability); bisimulations for neighborhood models and other model-theoretic constructions; comparisons with other semantics for modal logic (e.g., relational models, topological models, plausibility models); neighborhood semantics for first-order modal logic, applications in game theory (coalitional logic and game logic); applications in epistemic logic (logics of evidence and belief); and non-normal modal logics with dynamic modalities.
The book can be used as the primary text for seminars on philosophical logic focused on non-normal modal logics; as a supplemental text for courses on modal logic, logic in AI, or philosophical logic (either at the undergraduate or graduate level); or as the primary source for researchers interested in learning about the uses of neighborhood semantics in philosophical logic and game theory.

About the authors

Eric Pacuit is an Assistant Professor of Philosophy at the University of Maryland, USA. Before coming to Maryland, Eric worked at Stanford University, USA; at the Institute for Logic, Language and Computation at the University of Amsterdam, Netherlands; and at the Tilburg Institute for Logic and Philosophy of Science at Tilburg University, Netherlands. His research primarily addresses issues in interactive epistemology and group decision-making – two interdisciplinary areas that make use of ideas and techniques from logic (especially modal logic), philosophy, game theory and social choice theory. His research has been generously supported by a grant from the National Science Foundation and a VIDI grant from the NWO (the Netherlands Organization for Scientific Research).

Video

Table of contents (3 chapters)

Buy this book

eBook $19.99
price for USA (gross)
  • ISBN 978-3-319-67149-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $24.99
price for USA
  • ISBN 978-3-319-67148-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Neighborhood Semantics for Modal Logic
Authors
Series Title
Short Textbooks in Logic
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-67149-9
DOI
10.1007/978-3-319-67149-9
Softcover ISBN
978-3-319-67148-2
Series ISSN
2522-5480
Edition Number
1
Number of Pages
XII, 154
Number of Illustrations and Tables
17 b/w illustrations
Topics