Dynamic update with probabilities

Studia Logica 93 (1):67-96 (2009)
Abstract
Current dynamic-epistemic logics model different types of information change in multi-agent scenarios. We generalize these logics to a probabilistic setting, obtaining a calculus for multi-agent update with three natural slots: prior probability on states, occurrence probabilities in the relevant process taking place, and observation probabilities of events. To match this update mechanism, we present a complete dynamic logic of information change with a probabilistic character. The completeness proof follows a compositional methodology that applies to a much larger class of dynamic-probabilistic logics as well. Finally, we discuss how our basic update rule can be parameterized for different update policies, or learning methods.
Keywords probability  dynamic epistemic logic  update  Jeffrey’s rule
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DOI 10.1007/s11225-009-9209-y
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Guillaume Aucher (2011). DEL-Sequents for Progression. Journal of Applied Non-Classical Logics 21 (3-4):289-321.

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