Independence-Friendly Logic: A Game-Theoretic Approach

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.

Allen L. Mann is a Postdoctoral Researcher in the Department of Mathematics and Statistics at the University of Tampere, Finland. Gabriel Sandu is a Professor of Theoretical Philosophy at the University of Helsinki, Finland. Merlijn Sevenster is a Senior Researcher in Healthcare Information Management at Philips Research, The Netherlands.

'... 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