Three Approaches to Iterated Belief Contraction

Raghav Ramachandran*, Abhaya C. Nayak, Mehmet A. Orgun

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


In this paper we investigate three approaches to iterated contraction, namely: the Moderate (or Priority) contraction, the Natural (or Conservative) contraction, and the Lexicographic contraction. We characterise these three contraction functions using certain, arguably plausible, properties of an iterated contraction function. While we provide the characterisation of the first two contraction operations using rationality postulates of the standard variety for iterated contraction, we found doing the same for the Lexicographic contraction more challenging. We provide its characterisation using a variation of Epistemic ranking function instead.

Original languageEnglish
Pages (from-to)115-142
Number of pages28
JournalJournal of Philosophical Logic
Issue number1
Publication statusPublished - Feb 2012


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