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Prove the following Closure Properties with respect to Context Free Languages. 1. Show that Context Free Languages...

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Programming

Prove the following Closure Properties with respect to ContextFree Languages.

1. Show that Context Free Languages are Closed under union(∪),concatenation(·), kleene star(*).

(Hint: If L1 and L2 are Context Free languages then writeContext Free grammar equivalent to L1 ∪ L2, L1 · L2, L∗ 1 )

2. Show that if L1 and L2 are Context Free Languages, then L1 ∩L2 is not necessarily Context Free.

(Hint: Use Proof by Counter Example)

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