Independence-Friendly Logic
A Game-Theoretic Approach
Published on 5. May 2011
Book
Paperback/Softback
216 pages
978-0-521-14934-1 (ISBN)
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.
Reviews / Votes
'... 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 ProgrammingMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises; 20 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 13 mm
Weight
358 gr
ISBN-13
978-0-521-14934-1 (9780521149341)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Allen L. Mann | Gabriel Sandu | Merlijn Sevenster
Independence-Friendly Logic
A Game-Theoretic Approach
E-Book
05/2011
1st Edition
Cambridge University Press
€73.99
Available for download
Persons
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.
Content
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.