Independence-friendly logic : a game-theoretic approach
著者
書誌事項
Independence-friendly logic : a game-theoretic approach
（London Mathematical Society lecture note series, 386）
Cambridge University Press, 2011
- : pbk
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注記
Includes bibliographical references (p. [198]-202) and index
内容説明・目次
内容説明
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.
目次
- 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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