Dependence logic
Subtitle: a new approach to independence friendly logic
By: Jouko Väänänen.
Series: London Mathematical Society student texts -- 70
Publisher: Cambridge University Press
Published: 2007
Place of publication: Cambridge; New York
Language: eng
Number of pages: 225
ISBN-13: 9780521876599; 9780521700153
Subjects: First-order logic.
Description: 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.
Notes: Includes bibliographical references (p. 220-222) and index.