Neighborhood Semantics for Modal Logic

Neighborhood Semantics for Modal Logic

by Eric Pacuit

Paperback(1st ed. 2017)

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Product Details

ISBN-13: 9783319671482
Publisher: Springer International Publishing
Publication date: 11/15/2017
Series: Short Textbooks in Logic
Edition description: 1st ed. 2017
Pages: 154
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

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).

Table of Contents

1. Introduction and Motivation
1.1 Subset Spaces
1.2 Language and Semantics
1.3 Why Non-Normal Modal Logic?
1.4 Why Neighborhood Structures?
2. Core Theory
2.1 Expressive Power and Invariance
2.2 Alternative Semantics for Non-Normal Modal Logic
2.3 The Landscape of Non-Normal Modal Logic
2.4 Computational Issues
2.5 Frame Correspondence
2.6 Translations
3. Richer Languages
3.1 Universal Modality and Nominals
3.2 First-Order Neighborhood Structures
3.3 Common Belief on Neighborhood Structures
3.4 Dynamics with Neighborhoods: Game Logic
3.5 Dynamics on Neighborhood Structures
A. Relational Semantics for Modal Logic
A.1 Definability
A.2 Normal Modal Logics

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