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On Strengthening the Logic of Iterated Belief Revision: Proper Ordinal Interval Operators

In Michael Thielscher, Francesca Toni & Frank Wolter (eds.), Proceedings of the Sixteenth International Conference on Principles of Knowledge Representation and Reasoning (KR2018). Palo Alto, CA, USA: pp. 210-219 (2018)

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  1. Elementary Iterated Revision and the Levi Identity.Jake Chandler & Richard Booth - forthcoming - In Proceedings of the 7th International Conference on Logic, Rationality and Interaction (LORI 2019).
    Recent work has considered the problem of extending to the case of iterated belief change the so-called `Harper Identity' (HI), which defines single-shot contraction in terms of single-shot revision. The present paper considers the prospects of providing a similar extension of the Levi Identity (LI), in which the direction of definition runs the other way. We restrict our attention here to the three classic iterated revision operators--natural, restrained and lexicographic, for which we provide here the first collective characterisation in the (...)
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