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,

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Show that the class of regular languages is closed under the DROP-OUT? operation. Give both proofs by picture and a more formal proof by construction as in Theorem 1.47.

THEOREM 1.47

The class of regular languages is closed under the concatenation operation.

Transcribed Image Text:

DROP-OUT(A) = {xz| xyz € A where x, z € Σ*,y € Σ}. = DROP-OUT(A) = {xz| xyz € A where x, z € Σ*,y € Σ}. =