Iterated Belief Change and the Levi Identity

Authors Abhaya Nayak, Randy Goebel, Mehmet Orgun, Tam Pham

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Abhaya Nayak
Randy Goebel
Mehmet Orgun
Tam Pham

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Abhaya Nayak, Randy Goebel, Mehmet Orgun, and Tam Pham. Iterated Belief Change and the Levi Identity. In Belief Change in Rational Agents: Perspectives from Artificial Intelligence, Philosophy, and Economics. Dagstuhl Seminar Proceedings, Volume 5321, pp. 1-16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)


Most works on iterated belief change have focussed on iterated belief revision, namely, on how to compute (K star x) star y. However, historically, belief revision has been defined in terms of belief expansion and belief contraction that have been viewed as primary operations. Accordingly, what we should be looking at are constructions like: (K+x)+y, (K-x)+y, (K-x)+y and (K-x)-y. The first two constructions are relatively innocuous. The last two are, however, more problematic. We look at these sequential operations. In the process, we use the Levi Identity as the guiding principle behind state changes (as opposed to belief set changes).
  • Iterated belief change
  • iterated belief contraction
  • Levi Identity


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