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6. (a) Prove that the family of context-free languages is not closed under difference in general, but it is closed under regular difference, that is,

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6. (a) Prove that the family of context-free languages is not closed under difference in general, but it is closed under regular difference, that is, if L is context-free and L2 is regular, then L1 - L2 is context-free. (b) Show that the family of deterministic context-free languages is not closed under union and inter

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