Verifying a class of nondeterministic discrete event systems in a generalized temporal logic

A formal verification method is proposed for a class of nondeterministic discrete event systems in which point probability distributions are known. Such systems are modeled by bounded stochastic models that specify their structures. A linear-time temporal logic is generalized to an uncertain environment in order to establish a framework for system verification. Soundness and completeness of the proof system are also discussed. Properties of this class of system are verified by deducing temporal logic specifications of desired behavior from descriptions of the system dynamics. The formulas do not mention probabilities explicitly, so that the specifications and verification are completed qualitatively without using the probability theory. The verification is illustrated by an example of a flexible manufacturing system