Question: Proofs a) Suppose we define an extended regular expression as a regular expression which also allows intersection and complement. Prove that extended regular expressions must

Proofs a) Suppose we define an extended regular expression as a regular expression which also allows intersection and complement. Prove that extended regular expressions must produce regular languages. b) Recall that a GNFA is an NFA which allows transitioning on regular languages rather than single characters. Prove that if a GNFA exists that decides a language L, L is regular.

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