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Erschienen in:
2007 | OriginalPaper | Buchkapitel
From DEL to EDL: Exploring the Power of Converse Events
verfasst von : Guillaume Aucher, Andreas Herzig
Erschienen in: Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Verlag: Springer Berlin Heidelberg
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Dynamic epistemic logic (
DEL
) as viewed by Baltag et col. and propositional dynamic logic (
PDL
) offer different semantics of events. On the one hand,
DEL
adds dynamics to epistemic logic by introducing so-called epistemic action models as syntactic objects into the language. On the other hand,
PDL
has instead transition relations between possible worlds. This last approach allows to easily introduce converse events. We add epistemics to this, and call the resulting logic epistemic dynamic logic (
EDL
). We show that
DEL
can be translated into
EDL
thanks to this use of the converse operator: this device enables us to translate the structure of the action (or event) model directly within a particular axiomatization of
EDL
, without having to refer to a particular epistemic action (event) model in the language (as done in
DEL
). It follows that
EDL
is more expressive and general than
DEL
.