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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Weighted Lumpability on Markov Chains
verfasst von : Arpit Sharma, Joost-Pieter Katoen
Erschienen in: Perspectives of Systems Informatics
Verlag: Springer Berlin Heidelberg
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This paper reconsiders Bernardo’s T-lumpability on continuous-time Markov chains (CTMCs). This notion allows for a more aggressive state-level aggregation than ordinary lumpability. We provide a novel structural definition of (what we refer to as) weighted lumpability, prove some elementary properties, and investigate its compatibility with linear real-time objectives. The main result is that the probability of satisfying a deterministic timed automaton specification coincides for a CTMC and its weigthed lumped analogue. The same holds for metric temporal logic formulas.