1 Proofs Prove that every NFA N can be converted to an equivalent one N^(') that has a single accept state. Show the formal definition of N^('). Prove that regular languages are closed under complement. In other words, if A is a regular language then ()/(bar) (A)=( Sigma ^(*))/(()/())AM with L(M)=A, now construct a DFA ()/(bar) (M) such that L(()/(

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1 Proofs Prove that every NFA N can be converted to an equivalent one N^(') that has a single accept state. Show the formal definition of N^('). Prove that regular languages are closed under complement. In other words, if A is a regular language then ()/(bar) (A)=( Sigma ^(*))/(()/())AM with L(M)=A, now construct a DFA ()/(bar) (M) such that L(()/(bar) (M))()/(b)=ar (A).

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