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The hierarchy of models for CSP are useful because they provide differing amount of information about the processes, with a corresponding change in the cost of working in that model. It is more efficient to perform a check in the simplest model which provides the required detail.
Property Model 
Safety Traces 
Liveness Failures Deadlock-freedom 
Livelock-freedom Failures-divergence 
Note that the model_compress operation may produce better results
in a simple process model.
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