2014 | OriginalPaper | Buchkapitel
On Abstraction of Probabilistic Systems
verfasst von : Christian Dehnert, Daniel Gebler, Michele Volpato, David N. Jansen
Erschienen in: Stochastic Model Checking. Rigorous Dependability Analysis Using Model Checking Techniques for Stochastic Systems
Verlag: Springer Berlin Heidelberg
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Probabilistic model checking extends traditional model checking by incorporating quantitative information about the probability of system transitions. However, probabilistic models that describe interesting behavior are often too complex for straightforward analysis. Abstraction is one way to deal with this complexity: instead of analyzing the (“concrete”) model, a simpler (“abstract”) model that preserves the relevant properties is built and analyzed. This paper surveys various abstraction techniques proposed in the past decade. For each abstraction technique we identify in what sense properties are preserved or provide alternatively suitable boundaries.