Abstract
Most results in belief revision assumes that the underlying logic satisfies certain restrictive assumptions. We showed in this book several examples of logics that fail to satisfy these assumptions, e.g., most DLs, Horn logic, and intuitionistic logic. After that we presented ways of adapting classical belief revision in order for it to be compliant with a wider class of logics. In the case of belief set contraction we showed that this can be achieved by exchanging recovery by relevance in the AGM postulates. For belief base revision this can be achieved using selection/incision functions that protects the input. Finally, the most difficult case is belief set revision where the characterization is achieved only for distributive logics.
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Ribeiro, M.M. (2013). Conclusion. In: Belief Revision in Non-Classical Logics. SpringerBriefs in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-4186-0_9
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DOI: https://doi.org/10.1007/978-1-4471-4186-0_9
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