- Provides both the relevant technical background and an overview of the key applications of neighborhood semantics in modal logicIntroduces the main techniques for reasoning about neighborhood structures with a modal languageHighlights the most convincing applications of neighborhood semantics for modal logicIncludes applications such as coalitional logic, game logic, dynamic logics of belief and evidence, subset space logic, and first-order extensionsExplains the precise relationship between neighborhood models and relational models, topological models, plausibility models, and (two-sorted) first-order logic
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- About this Textbook
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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
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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).
- Reviews
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“Neighbourhood frames offer an interpretation to systems of modal logic that generalises the more traditional relational frames. … Complemented with the numerous pointers to the literature that it provides, the book will be a valuable source of information and practice for PhD students.” (Éric Martin, zbMATH 1390.03001, 2018)
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- Table of contents (3 chapters)
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Introduction and Motivation
Pages 1-38
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Core Theory
Pages 39-96
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Richer Languages
Pages 97-138
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Table of contents (3 chapters)
- Download Preface 1 PDF (52 KB)
- Download Sample pages 2 PDF (767.5 KB)
- Download Table of contents PDF (93 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Neighborhood Semantics for Modal Logic
- Authors
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- Eric Pacuit
- 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
- 17 b/w illustrations
- Topics
