Summary of The Realizability Of Revision and Contraction Operators in Epistemic Spaces, by Kai Sauerwald and Matthias Thimm
The Realizability of Revision and Contraction Operators in Epistemic Spaces
by Kai Sauerwald, Matthias Thimm
First submitted to arxiv on: 30 Jul 2024
Categories
- Main: Artificial Intelligence (cs.AI)
- Secondary: None
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| Summary difficulty | Written by | Summary |
|---|---|---|
| High | Paper authors | High Difficulty Summary Read the original abstract here |
| Medium | GrooveSquid.com (original content) | Medium Difficulty Summary The paper investigates the feasibility of belief update and belief reduction mechanisms in epistemic frameworks. Specifically, it examines the realizability of AGM (Alchourrón-Gärdenfors-Mañara) revision and contraction operators for epistemic spaces. The research reveals that these operators are only realizable in precisely defined epistemic spaces. Moreover, the study introduces a novel class of linear change operators, which serve as a canonical realization when AGM revision or contraction is feasible. |
| Low | GrooveSquid.com (original content) | Low Difficulty Summary This paper looks at how we can update and reduce our beliefs in situations where we’re not sure what’s true. It explores the rules for making these changes, called AGM revision and contraction, and finds that they only work well in very specific situations. The study also introduces a new type of change operator called linear change operators, which are useful when we can use AGM revision or contraction. |
