Extending probabilistic dynamic epistemic logic |
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Authors: | Joshua Sack |
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Institution: | (1) School of Computer Science, Reykjavík University, Reykjavík, Iceland |
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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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Keywords: | Dynamic epistemic logic Modal logic Probability |
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