The Realizability of Revision and Contraction Operators in Epistemic Spaces

• URL: http://arxiv.org/abs/2407.20918v1
• Date: Tue, 30 Jul 2024 15:55:01 GMT
• Title: The Realizability of Revision and Contraction Operators in Epistemic Spaces
• Authors: Kai Sauerwald, Matthias Thimm,
• Abstract summary: AGM revision and AGM contraction operators are only realizable in precisely determined 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.
• Score: 8.010966370223985
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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