CSLI Publications logo
new books
contact us
for authors
CSLI Publications

Vicious Circles

Jon Barwise and Lawrence S. Moss

The subject of non-wellfounded sets came to prominence with the 1988 publication of Peter Aczel's book on the subject. Since then, a number of researchers in widely differing fields have used non-wellfounded sets (also called "hypersets") in modeling many types of circular phenomena. The application areas range from knowledge representation and theoretical economics to the semantics of natural language and programming languages.

Vicious Circles offers an introduction to this fascinating and timely topic. Written as a book to learn from, theoretical points are always illustrated by examples from the applications and by exercises whose solutions are also presented. The text is suitable for use in a classroom, seminar, or for individual study.

In addition to presenting the basic material on hypersets and their applications, this volume thoroughly develops the mathematics behind solving systems of set equations, greatest fixed points, coinduction, and corecursion. Much of this material has not appeared before. The application chapters also contain new material on modal logic and new explorations of paradoxes from semantics and game theory.


ISBN (Paperback): 1575860082 (9781575860084)
ISBN (Cloth): 1575860090 (9781575860091)
Subject: Cognitive Science; Hypersets; Cycles

Books by Jon Barwise (1942–2000)

Add to Cart
View Cart

Check Out

Distributed by the
University of
Chicago Press

pubs @ csli.stanford.edu