Abstract
We present a logic for reasoning about the evidence-based knowledge and beliefs and the evidential dynamics of non-logically -omniscient agents. We do this by adapting key tools and techniques from Dynamic Epistemic Logic, Justification Logic, and Belief Revision so as to provide a lightweight, yet fine-grained approach that characterizes well-known epistemic and doxastic attitudes in terms of the evidential reasoning that justifies these attitudes. We then add the dynamic operations of evidence introduction, evidence-based inference, strong acceptance of new evidence (evidential “upgrade”), and irrevocable acceptance of additional evidence (evidential “update”). We exemplify our theory by providing a formal dynamic account of Lehrer’s well-known Gettier-type scenario involving the famous Ferrari and the infamous Messrs. Nogot and Havit.
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Baltag, A., Renne, B., Smets, S. (2012). The Logic of Justified Belief Change, Soft Evidence and Defeasible Knowledge. In: Ong, L., de Queiroz, R. (eds) Logic, Language, Information and Computation. WoLLIC 2012. Lecture Notes in Computer Science, vol 7456. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32621-9_13
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DOI: https://doi.org/10.1007/978-3-642-32621-9_13
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