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A General Katsuno-Mendelzon-Style Characterization of AGM Belief Base Revision for Arbitrary Monotonic Logics

2021-04-29 17:24:21
Faiq Miftakhul Falakh, Sebastian Rudolph, Kai Sauerwald
arXiv_AI
   
Abstract

The AGM postulates by Alchourrón, Gärdenfors, and Makinson continue to represent a cornerstone in research related to belief change. We generalize the approach of Katsuno and Mendelzon (KM) for characterizing AGM base revision from propositional logic to the setting of (multiple) base revision in arbitrary monotonic logics. Our core result is a representation theorem using the assignment of total - yet not transitive - "preference" relations to belief bases. We also provide a characterization of all logics for which our result can be strengthened to preorder assignments (as in KM's original work).

Abstract (translated)

URL

https://arxiv.org/abs/2104.14512

PDF

https://arxiv.org/pdf/2104.14512.pdf

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