In this paper, we introduce an extension of Duration Calculus called Simple Probabilistic Duration Calculus (SPDC) to express dependability requirements for real-time systems, and address the problem to decide if a probabilistic timed automaton satisfies a SPDC formula. We prove that the problem is decidable for a class of SPDC called probabilistic linear duration invariants, and provide a model checking algorithm for solving this problem.
Citation:
Dang Van Hung, Miaomiao Zhang, "On Verification of Probabilistic Timed Automata against Probabilistic Duration Properties," rtcsa, pp.165-172, 13th IEEE International Conference on Embedded and Real-Time Computing Systems and Applications (RTCSA 2007), 2007