Question: Problem(Context-Free Language). (a). Show that the following operations are closed under context-free languages: union concatentation Kleene star (b). Prove: For any language A, if A

Problem(Context-Free Language).

(a). Show that the following operations are closed under context-free languages:

  • union

  • concatentation

  • Kleene star

(b). Prove:

For any language A, if A is regular, then A is also context-free.

Your proof must be a proof by induction on regular expressions.

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