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Erschienen in:
2008 | OriginalPaper | Buchkapitel
Refinement of Kripke Models for Dynamics
verfasst von : Francien Dechesne, Simona Orzan, Yanjing Wang
Erschienen in: Theoretical Aspects of Computing - ICTAC 2008
Verlag: Springer Berlin Heidelberg
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We propose a property-preserving refinement/abstraction theory for Kripke Modal Labelled Transition Systems incorporating not only state mapping but also label and proposition lumping, in order to have a compact but informative abstraction. We develop a 3-valued version of Public Announcement Logic (PAL) which has a dynamic operator that changes the model in the spirit of public broadcasting. We prove that the refinement relation on
static
models assures us to safely reason about any
dynamic
properties in terms of PAL-formulas on the abstraction of a model. The theory is in particular interesting and applicable for an epistemic setting as the example of the Muddy Children puzzle shows, especially in the view of the growing interest for epistemic modelling and (automatic) verification of communication protocols.