Question: Let R be a regular expression. Let S = 1 R 1 be the regular expression denoting all strings of R with a 1 appended

Let R be a regular expression. Let S=1R1 be the regular expression denoting all strings of R with a 1 appended toboth the beginning and the end of each string in R. Delete every block of 0's of even length in S. Prove or disprove that the resulting set is regular. (Can this question be solved by proving it using the closure property of set difference operation?)

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