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In this paper, the authors introduce MIOA, a stochastic process algebra-like specification language with finite-domain datatypes, as well as the logic intSPDL, and its model checking algorithms. MIOA which stands for Markovian input/output automata language is an extension of Lynch's input/output automata with Markovian timed transitions. MIOA can serve both as a fully fledged "Stand-alone" specification language and as the semantic model for the architectural dependability description language Arcade. The logic intSPDL is an extension of the stochastic logic SPDL, designed to deal with the specialties of MIOA. In the context of Arcade, intSPDL can be seen as the semantic model of abstract and complex dependability measures that can be defined in the Arcade framework.
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