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Classical CTL temporal logics are built over systems with interleaving modelconcurrency. Many attempts are made to fight a state space explosion problem(for instance, compositional model checking). There are some methods ofreduction of a state space based on independence of actions. However, in CSMmodel, which is based on coincidences rather than on interleaving, independenceof actions cannot be defined. Therefore a state space reduction basing onidentical temporal consequences rather than on independence of action isproposed. The new reduction is not as good as for interleaving systems, becauseall successors of a state (in depth of two levels) must be obtained before areduction may be applied. This leads to reduction of space required forrepresentation of a state space, but not in time of state space construction.Yet much savings may occur in regular state spaces for CSM systems.

State Space Reduction for Reachability Graph of CSM Automata