Abstract

We consider Stochastic Automata Networks whose transition rates depend on the whole system state but are not synchronised and are restricted to satisfy a property called inner proportional.We prove that this class of SANs has both product form steady-state distribution and product form probability over untimed paths. This product form result is then applied to check formulae that are equivalent to some special structure that we call path-product of sets of untimed paths. In particular, we show that product form solutions can be used to check unbounded Until formulae of the Continuous Stochastic Logic.

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