Independence-Friendly Logic: A Game-Theoretic Approach

Allen L. Mann, Gabriel Sandu, “Independence-Friendly Logic: A Game-Theoretic Approach”

2011 | ISBN-10: 0521149347, 0521497930 | 216 pages | PDF | 1 MB

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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