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Show language consisting bit strings that are palindromes

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Question: Use Exercise to show that the language consisting of all bit strings that are palindromes (that is, strings that equal their own reversals) is not regular.

Exercise: 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.

Reference no: EM131577767

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