Vicious circles. On the mathematics of non-wellfounded phenomena.

Barwise, Jon:

ISBN 10: 1575860082 / ISBN 13: 9781575860084

Editore: Stanford, CSLI Publications, 1996

Riguardo questo articolo

x, 390 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. D03743 9781575860084 Sprache: Englisch Gewicht in Gramm: 550.

Codice articolo 2513447

Dati bibliografici

• Titolo: Vicious circles. On the mathematics of non-wellfounded phenomena.
• Editore: Stanford, CSLI Publications
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 1575860082
• ISBN 13: 9781575860084
• Rilegatura: Softcover
• Cataloghi dei venditori:
  • AA Varia

Descrizione articolo

Riassunto

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.

Recensione

' ... a book to learn from.' L'Enseignement Mathématique