Proceedings

Sampling-Based Belief Revision

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Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence. Pages 1272-1277.

Abstract

Model sampling has proved to be a practically viable method for decision-making under uncertainty, for example in imperfect-information games with large state spaces. In this paper, we examine the logical foundations of sampling-based belief revision. We show that it satisfies six of the standard AGM postulates but not Vacuity nor Subexpansion. We provide a corresponding representation theorem that generalises the standard result from a single to a family of faithful assignments for a given belief set. We also provide a formal axiomatisation of sampling-based belief revision in the Situation Calculus as an alternative way of reasoning about actions, sensing, and beliefs.

Michael Thielscher. 2016. Sampling-Based Belief Revision. In Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence, IJCAI-16. IJCAI, 1272–1277. https://ijcai.org/proceedings/2016/184
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