Question: EX12. Let hack(R) = { w | w = uv and u is a proper prefix of some string x in R and v is

EX12. Let hack(R) = { w | w = uv and u is a proper prefix of some string x in R and v is a proper suffix of some string y in R }. Prove or disprove: If R is regular, then so is hack(R).

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