Abstract. When designing an open system, there might be no implementation available for certain components at verification time. For such systems, verification has to be based on assumptions on the underspecified components. When component assumptions are expressed in Hennessy-Milner logic (HML), the state space of open systems can be naturally represented with modal transition systems (MTS), a graphical specification language equiexpressive with HML. Having an explicit state space representation supports state space exploration based verification techniques. Besides, it enables proof reuse and facilitates visualization for the user guiding the verification process in interactive verification. As an intuitive representation of system behavior, it aids debugging when proof generation fails in automatic verification. However, HML is not expressive enough to capture temporal assumptions. For this purpose, we extend MTSs to represent the state space of open systems where component assumpti...