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

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

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

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

Publisher: Cambridge University Press

Edition: 1st

Publication Date: 2011-06-06

Language: English

Print Length: 216 pages

ISBN-10: 0521800560

ISBN-13: 9780521800563

Book Description

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.

Editorial Reviews

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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