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Problem 13. (10 points) Given a language L define Alpha(L) to be all strings created by taking a word in L and alphabetizing the letters (eg if cabaa L then aaabc ALPHA(L) ). If L is a regular language must ALPHA(L) be a regular language? If L is a regular language can ALPHA (L) be a regular language? Explain your answers..

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Problem 13. (10 points) Given a language L define Alpha(L) to be all strings created by taking a word in L and alphabetizing the letters (eg if cabaa L then aaabc ALPHA(L) ). If L is a regular language must ALPHA(L) be a regular language? If L is a regular language can ALPHA (L) be a regular language? Explain your answers.

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  • 1. Problem 13. (10 points) Given a language L define Alpha(L) to be all strings created by taking a word in L and alphabetizing the letters (eg if cabaa L then aaabc ALPHA(L) ). If L is a regular language must ALPHA(L) be a regular language? If L is a regular language can ALPHA (L) be a regular language? Explain your answers.