Let A be any language Define DROP OUT(A) to be the language containing all strings that can be obtained by removing one symbol from a string in A Thus, DROP OUT(A) xz xyz A where x, z , y Show that the class of regular languages is closed under the DROP OUT operation Give both a proof by picture and a more formal proof by construction as in Theorem 1 47

Question: Let A be any language. Define DROP-OUT(A) to be the language containing all strings that can be obtained by removing one symbol from a string

Let A be any language. Define DROP-OUT(A) to be the language containing all strings that can be obtained by removing one symbol from a string in A. Thus, DROP-OUT(A) = {xz| xyz ∈ A where x, z ∈ Σ^*, y ∈ Σ}. Show that the class of regular languages is closed under the DROP-OUT operation. Give both a proof by picture and a more formal proof by construction as in Theorem 1.47.

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