Extending probabilistic dynamic epistemic logic
Synthese 169 (2):241 - 257 (2009)
| Abstract | This paper aims to extend in two directions the probabilistic dynamic epistemic logic provided in Kooi’s paper (J Logic Lang Inform 12(4):381–408, 2003) and to relate these extensions to ones made in van Benthem et al. (Proceedings of LOFT’06. Liverpool, 2006). Kooi’s probabilistic dynamic epistemic logic adds to probabilistic epistemic logic sentences that express consequences of public announcements. The paper (van Benthem et al., Proceedings of LOFT’06. Liverpool, 2006) extends (Kooi, J Logic Lang Inform 12(4):381–408, 2003) to using action models, but in both papers, the probabilities are discrete, and are defined on trivial σ -algebras over finite sample spaces. The first extension offered in this paper is to add a previous-time operator to a probabilistic dynamic epistemic logic similar to Kooi’s in (J Logic Lang Inform 12(4):381–408, 2003). The other is to involve non-trivial σ -algebras and continuous probabilities in probabilistic dynamic epistemic logic. | |||||||||
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Similar books and articlesDimitar P. Guelev (1999). A Propositional Dynamic Logic with Qualitative Probabilities. Journal of Philosophical Logic 28 (6):575-604.
Nina Gierasimczuk (2009). Bridging Learning Theory and Dynamic Epistemic Logic. Synthese 169 (2):371-384.
Johan van Benthem, Jelle Gerbrandy & Barteld Kooi (2009). Dynamic Update with Probabilities. Studia Logica 93 (1).
Barteld P. Kooi (2003). Probabilistic Dynamic Epistemic Logic. Journal of Logic, Language and Information 12 (4):381-408.
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