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The enormous number of states reachable during explicit model checking is themain bottleneck for scalability. This paper presents approaches of usingdecision diagrams to represent very large state space compactly andefficiently. This is possible for asynchronous systems as two system statesconnected by a transition often share many same local portions. Using decisiondiagrams can significantly reduce memory demand by not using memory to storethe redundant information among different states. This paper considersmulti-value decision diagrams for this purpose. Additionally, a technique toreduce the runtime overhead of using these diagrams is also described.Experimental results and comparison with the state compression method asimplemented in the model checker SPIN show that the approaches presented inthis paper are memory efficient for storing large state space with acceptableruntime overhead.

Using Decision Diagrams to Compactly Represent the State Space for Explicit Model Checking