Independence-Friendly Logic
A Game-Theoretic Approach
Part of London Mathematical Society Lecture Note Series
- Authors:
- Allen L. Mann, University of Tampere, Finland
- Gabriel Sandu, University of Helsinki
- Merlijn Sevenster, Philips Research Laboratories, The Netherlands
- Date Published: May 2011
- availability: Available
- format: Paperback
- isbn: 9780521149341
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Bringing together over twenty years of research, this book gives a complete overview of independence-friendly logic. It emphasizes the game-theoretical approach to logic, according to which logical concepts such as truth and falsity are best understood via the notion of semantic games. The book pushes the paradigm of game-theoretical semantics further than the current literature by showing how mixed strategies and equilibria can be used to analyze independence-friendly formulas on finite models. The book is suitable for graduate students and advanced undergraduates who have taken a course on first-order logic. It contains a primer of the necessary background in game theory, numerous examples and full proofs.
Read more- Collects and systematizes results from the last 20 years
- Provides the necessary background in game theory
- Includes numerous examples and full proofs
Reviews & endorsements
'… well-written and a valuable source for anyone interested in game-theoretic approaches to logic and in the emergent logical study of dependence and independence phenomena.' Theory and Practice of Logic Programming
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×Product details
- Date Published: May 2011
- format: Paperback
- isbn: 9780521149341
- length: 216 pages
- dimensions: 227 x 152 x 11 mm
- weight: 0.32kg
- contains: 20 b/w illus.
- availability: Available
Table of Contents
Preface
1. Introduction
2. Game theory
3. First-order logic
4. Independence-friendly (IF) logic
5. Properties of IF logic
6. Expressive power of IF logic
7. Probabilistic IF logic
8. Further topics
References
Index.
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