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Subsumption has a significant weakness. Suppose criterion C strong subsumes criterion C weak and that test set T strong satisfies C strong and test set

Subsumption has a significant weakness. Suppose criterion C strong subsumes criterion C weak and that test set T strong satisfies C strong and test set Tweak satisfies C weak. It is not necessarily the case that Tweak is a subset of T strong. It is also not necessarily the case that T strong reveals a fault if Tweak reveals a fault. Explain these facts.

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