Let A be any language. Define DROP-OUT(A) to be the language containing all strings that can be
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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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Proof by image Given a DEA in a normal language A a new DEAs can be creat...View the full answer
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