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Suppose that l is a subset of i and for some positive

Question: Suppose that L is a subset of I ∗ and for some positive integer n there are n strings in I ∗ such that every two of these strings are distinguishable with respect to L. Prove that every deterministic finite-state automaton recognizing L has at least n states.

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Theory of Computation: Suppose that l is a subset of i and for some positive

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