A Decidable Probability Logic for Timed and Untimed Probabilistic Systems

نویسندگان

  • Ruggero Lanotte
  • Danièle Beauquier
چکیده

In this paper we extend the predicate logic introduced in [BRS02] in order to deal with Semi-Markov Processes. We prove that with respect to qualitative probabilistic properties, model checking is decidable for this logic applied to Semi-Markov Processes. Furthermore we apply our logic to Probabilistic Timed Automata considering classical and urgent semantics, and considering also predicates on clock. We prove that results on Semi Markov Processes are extendible to Probabilistic Timed Automata for both the two semantics considered. Moreover, we prove that results for Markov Processes shown in [BRS02] are extendible to Probabilistic Timed Automata where urgent semantics is considered.

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تاریخ انتشار 2005