Decision problems of regular languages, Theory of Computation

We'll close our consideration of regular languages by looking at whether (certain) problems about regular languages are algorithmically decidable.

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let G=(V,T,S,P) where V={a,b,A,B,S}, T={a,b},S the start symbol and P={S->Aba, A->BB, B->ab,AB->b} 1.show the derivation sentence for the string ababba 2. find a sentential form

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The Emptiness Problem is the problem of deciding if a given regular language is empty (= ∅). Theorem 4 (Emptiness) The Emptiness Problem for Regular Languages is decidable. P

Find the Regular Grammar for the following Regular Expression:                    a(a+b)*(ab*+ba*)b.

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We got the class LT by taking the class SL and closing it under Boolean operations. We have observed that LT ⊆ Recog, so certainly any Boolean combination of LT languages will also