# A Conditional Perspective for Iterated Belief Contraction

arXiv: https://arxiv.org/abs/1911.08833 · HTML: https://mlsanity.com/paper/1911.08833/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 20 Nov 2019.

## Built on by (most cited first, 3 of 3)

- [A Conditional Perspective on the Logic of Iterated Belief Contraction](https://mlsanity.com/paper/2202.03196/) (2022)
- [Characterization of AGM Belief Contraction in Terms of Conditionals](https://mlsanity.com/paper/2307.05629/) (2023)
- [On Mixed Iterated Revisions](https://mlsanity.com/paper/2104.03571/) (2021)

## Abstract (arXiv)

According to Boutillier, Darwiche, Pearl and others, principles for iterated revision can be characterised in terms of changing beliefs about conditionals. For iterated contraction a similar formulation is not known. This is especially because for iterated belief change the connection between revision and contraction via the Levi and Harper identity is not straightforward, and therefore, characterisation results do not transfer easily between iterated revision and contraction. In this article, we develop an axiomatisation of iterated contraction in terms of changing conditional beliefs. We prove that the new set of postulates conforms semantically to the class of operators like the ones given by Konieczny and Pino P'erez for iterated contraction.