An Interesting Property in Iterated Revisions

Title: An Interesting Property in Iterated Revisions

Research Question: The research question of this study is to investigate the relationship between two postulates, (C1) and (C3), in Darwiche and Pearl's iterated revisions.

Methodology: The study uses logical reasoning and mathematical operations to prove a new property, (∗∗), that is implied by the postulates (R*1) to (R*6), (C1), and (C3).

Results: The main result of this study is the discovery of the property (∗∗), which states that if Ψ ◦α|=µ, then (Ψ ◦µ)◦α≡Ψ ◦α. This means that when a belief α is combined with a belief µ, the resulting belief should be equivalent to the original belief Ψ ◦α.

Implications: The discovery of the property (∗∗) has implications for the field of artificial intelligence and knowledge representation. It provides a new perspective on the relationship between beliefs and their combinations, which can be useful in designing and understanding AI systems. The study also contributes to the literature on iterated revisions, providing a more comprehensive understanding of the postulates proposed by Darwiche and Pearl.

Link to Article: https://arxiv.org/abs/0202024v1 Authors: arXiv ID: 0202024v1