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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Taking It to the Limit: Approximate Reasoning for Markov Processes
verfasst von : Kim Guldstrand Larsen, Radu Mardare, Prakash Panangaden
Erschienen in: Mathematical Foundations of Computer Science 2012
Verlag: Springer Berlin Heidelberg
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We develop a fusion of logical and metrical principles for reasoning about Markov processes. More precisely, we lift metrics from processes to sets of processes satisfying a formula and explore how the satisfaction relation behaves as sequences of processes
and sequences of formulas
approach limits. A key new concept is
dynamically-continuous metric bisimulation
which is a property of (pseudo)metrics. We prove theorems about satisfaction in the limit, robustness theorems as well as giving a topological characterization of various classes of formulas. This work is aimed at providing approximate reasoning principles for Markov processes.