Independence-Friendly Logic by Allen L. Mann, Gabriel Sandu, ... - 9780521149341

Independence-Friendly LogicA Game-Theoretic Approach\nAuthor(s): Allen L. Mann, Gabriel Sandu, Merlijn Sevenster\nFormat: Paperback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521149341, 978-0521149341\nSynopsis\nBringing 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.