Dependence Logic

Erscheinungsjahr 2007
ISBN: 978-0-521-70015-3
Verlag: Cambridge University Press

Buch, Englisch, Band 70, 236 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 349 g

Reihe: London Mathematical Society Student Texts

Dependence is a common phenomenon, wherever one looks: ecological systems, astronomy, human history, stock markets - but what is the logic of dependence? This book is the first to carry out a systematic logical study of this important concept, giving on the way a precise mathematical treatment of Hintikka's independence friendly logic. Dependence logic adds the concept of dependence to first order logic. Here the syntax and semantics of dependence logic are studied, dependence logic is given an alternative game theoretic semantics, and results about its complexity are proven. This is a graduate textbook suitable for a special course in logic in mathematics, philosophy and computer science departments, and contains over 200 exercises, many of which have a full solution at the end of the book. It is also accessible to readers, with a basic knowledge of logic, interested in new phenomena in logic.

Autoren/Hrsg.

Väänänen, Jouko

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

Preface; 1. Introduction; 2. Preliminaries; 3. Dependence logic; 4. Examples; 5. Game theoretic semantics; 6. Model Theory; 7. Complexity; 8. Team logic; 9. Solutions to selected exercises by Ville Nurmi; References; Index.

Über Autor(innen)

Väänänen, Jouko
Jouko Väänänen is Professor of Mathematics at the University of Helsinki.