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Please use strong induction to prove that the following context free grammar always generate strings with equal number of 0 and 1s. S-> OASIB SE

Please use strong induction to prove that the following context free grammar always generate strings with equal number of 0 and 1s.

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S-> OASIB SE A->10AA B->01BB S-> OASIB SE A->10AA B->01BB

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