A Katsuno-Mendelzon-Style Characterization of AGM Belief Base Revision for Arbitrary Monotonic Logics (Preliminary Report)

Faiq Miftakhul FalakhFaiq Miftakhul Falakh, Sebastian RudolphSebastian Rudolph, Kai SauerwaldKai Sauerwald

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Faiq Miftakhul Falakh, Sebastian Rudolph, Kai Sauerwald
A Katsuno-Mendelzon-Style Characterization of AGM Belief Base Revision for Arbitrary Monotonic Logics (Preliminary Report)
In Christoph Beierle, Marco Ragni, Frieder Stolzenburg, Matthias Thimm, eds., Proceedings of the 7th Workshop on Formal and Cognitive Reasoning, volume 2961, 48-59, September 2021. CEUR Workshop Proceedings

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KurzfassungAbstract
The AGM postulates by Alchourron, 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).
Weitere Informationen unter:Further Information: Link
Forschungsgruppe:Research Group: Computational LogicComputational Logic

@inproceedings{FRS2021,
  author    = {Faiq Miftakhul Falakh and Sebastian Rudolph and Kai Sauerwald},
  title     = {A Katsuno-Mendelzon-Style Characterization of {AGM} Belief Base
               Revision for Arbitrary Monotonic Logics (Preliminary Report)},
  editor    = {Christoph Beierle and Marco Ragni and Frieder Stolzenburg and
               Matthias Thimm},
  booktitle = {Proceedings of the 7th Workshop on Formal and Cognitive Reasoning},
  volume    = {2961},
  publisher = {CEUR Workshop Proceedings},
  year      = {2021},
  month     = {September},
  pages     = {48-59}
}