Question: An all-NFA M is a 5-tuple (Q,, , q 0 , F) that accepts x * if every possible state that M could

An all-NFA M is a 5-tuple (Q,Σ, δ, q₀, F) that accepts x ∈ Σ^* if every possible state that M could be in after reading input x is a state from F. Note, in contrast, that an ordinary NFA accepts a string if some state among these possible states is an accept state. Prove that all-NFAs recognize the class of regular languages.

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