Independence-Friendly Logic

A Game-Theoretic Approach

AvAllen L. Mann,Gabriel Sandu

Häftad, Engelska, 2011

Del 386 i serien London Mathematical Society Lecture Note Series

916 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2011-05-05
Mått:152 x 227 x 11 mm
Vikt:320 g
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Lecture Note Series
Antal sidor:216
Förlag:Cambridge University Press
ISBN:9780521149341

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Mer om författaren

Allen L. Mann is a Postdoctoral Researcher in the Department of Mathematics and Statistics at the University of Tampere, Finland. Gabriel Sandu is a Professor of Theoretical Philosophy at the University of Helsinki, Finland. Merlijn Sevenster is a Senior Researcher in Healthcare Information Management at Philips Research, The Netherlands.

Recensioner i media

'… 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

Innehållsförteckning

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.