Neighborhood Semantics for Modal Logic

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Beschreibung

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.

Über den Autor

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).

Zusammenfassung

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

Inhaltsverzeichnis

Introduction and Motivation.- Subset Spaces.- Language and Semantics.- Why Non-Normal Modal Logic?.- Core Theory.- Richer Languages.

Details

Erscheinungsjahr:	2017
Fachbereich:	Allgemeines
Genre:	Philosophie
Jahrhundert:	Antike
Rubrik:	Geisteswissenschaften
Thema:	Lexika
Medium:	Taschenbuch
Seiten:	168
Reihe:	Short Textbooks in Logic
Inhalt:	xii 154 S. 17 s/w Illustr. 154 p. 17 illus.
ISBN-13:	9783319671482
ISBN-10:	3319671480
Sprache:	Englisch
Herstellernummer:	978-3-319-67148-2
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Pacuit, Eric
Auflage:	1st ed. 2017
Hersteller:	Springer International Publishing Springer International Publishing AG Short Textbooks in Logic
Maße:	235 x 155 x 10 mm
Von/Mit:	Eric Pacuit
Erscheinungsdatum:	23.11.2017
Gewicht:	0,265 kg

preigu-id: 110650891