Question: Let L be a language under any alphabet . Define the following language: L ( L ) = { xz : x, z , xyz

Let L be a language under any alphabet . Define the following language:

L(L) = { xz : x, z , xyz A for some y },

i.e., L(L) is the language that contains every strings that can be obtained by the removal of exactly one symbol from the word A.

Prove that the regular language class are closed under L operation.

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