Independence-Friendly Logic
A Game-Theoretic Approach

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

Allen L. Mann (Author), Gabriel Sandu (Author), Merlijn Sevenster (Author)

9780521149341, Cambridge University Press

Paperback, published 5 May 2011

216 pages, 20 b/w illus.
22.7 x 15.2 x 1.1 cm, 0.32 kg

'… 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

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.

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.

Subject Areas: Mathematical logic [PBCD], Philosophy: logic [HPL]