Abstract model checking
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Abstraction Model checking is for systems where an actual representation is too complex and and a state space explosion will result in developing the model alone. So, the design undergoes a kind of translation to scaled down "abstract" version.
The set of variables are partitioned into visible and invisible depending on their change of values. The real state space is summarized into a smaller set of the visible ones.
Galois connected
The real and the abstract state spaces are galois connected which means that if we take an element from the abstract space, concretize it and abstract the concretized version, the result will be equal to the original. On the other hand, if you pick an element from the real space, abstract it and concretize the abstract version, the final result will be a super set of the original.
References
- Edmund M. Clarke and Orna Grumberg and David E. Long (1992). "Model checking and abstraction". ACM Transactions on Programming Languages and Systems. 16 (5): 1512--1542.