Probabilistic and Topological Semantics for Timed Automata
Like most models used in model-checking, timed automata are an idealized mathematical model used for representing systems with strong timing requirements. In such mathematical models, properties can be violated, due to unlikely (sequences of) events. We propose two new semantics for the satisfaction of LTL formulas, one based on probabilities, and the other one based on topology, to rule out these sequences. We prove that the two semantics are equivalent and lead to a PSPACE-Complete model-checking problem for LTL over finite executions.
KeywordsModel Check Winning Strategy Atomic Proposition Probabilistic Semantic Baire Space
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- 5.Baier, C., Bertrand, N., Bouyer, P., Brihaye, Th., Größer, M.: Probabilistic and topological semantics for timed automata. Research Report LSV–07–26, LSV, ENS de Cachan, France (2007)Google Scholar