The Realizability of Revision and Contraction Operators in Epistemic Spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917737528295424 |
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| author | Sauerwald, Kai Thimm, Matthias |
| author_facet | Sauerwald, Kai Thimm, Matthias |
| contents | This paper studies the realizability of belief revision and belief contraction operators in epistemic spaces. We observe that AGM revision and AGM contraction operators for epistemic spaces are only realizable in precisely determined epistemic spaces. We define the class of linear change operators, a special kind of maxichoice operator. When AGM revision, respectively, AGM contraction, is realizable, linear change operators are a canonical realization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Realizability of Revision and Contraction Operators in Epistemic Spaces Sauerwald, Kai Thimm, Matthias Artificial Intelligence 03B42 I.2.4 This paper studies the realizability of belief revision and belief contraction operators in epistemic spaces. We observe that AGM revision and AGM contraction operators for epistemic spaces are only realizable in precisely determined epistemic spaces. We define the class of linear change operators, a special kind of maxichoice operator. When AGM revision, respectively, AGM contraction, is realizable, linear change operators are a canonical realization. |
| title | The Realizability of Revision and Contraction Operators in Epistemic Spaces |
| topic | Artificial Intelligence 03B42 I.2.4 |
| url | https://arxiv.org/abs/2407.20918 |