Question: Prove thathMi:Mis a DFA with ? =(,)andL(M) contains a string of properly nested parensis decidable. (Hint: think in terms of context-free languages. Please show proof.

Prove thathMi:Mis a DFA with ? =(,)andL(M) contains a string of properly nested parensis decidable. (Hint: think in terms of context-free languages.

Prove thathMi:Mis a DFA with ? =(,)andL(M) contains a string of properly

Please show proof. Thank you. Will thumbs up.

4. [20 points] Prove that { M) : M is a DFA with ? {(,)} and L(M) contains a string of properly nested parens} is decidable. (Hint: think in terms of context-free languages.)

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