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Independence-Friendly Logic: A Game-Theoretic Approach: London Mathematical Society Lecture Note Series, cartea 386

Autor Allen L. Mann, Gabriel Sandu, Merlijn Sevenster
en Limba Engleză Paperback – 4 mai 2011
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.
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Specificații

ISBN-13: 9780521149341
ISBN-10: 0521149347
Pagini: 216
Ilustrații: 20 b/w illus.
Dimensiuni: 152 x 227 x 11 mm
Greutate: 0.32 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Recenzii

'… 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

Notă biografică


Descriere

A systematic introduction suitable for readers who have little familiarity with logic. Provides numerous examples and complete proofs.