Question: (25 points) Let substring(L) be the set of all substrings of words in L, for example, if L = {abcde, 1212} then substring(L) = {,

(25 points) Let substring(L) be the set of all substrings of words in L, for example, if L = {abcde, 1212} then substring(L) = {, a, ab, abc, abcd, abcde, b, bc, bcd, bede, c, cd, cde, d, de, e, 1, 12, 121, 1212, 212, 2, }. Prove that if L is regular then substring(L) is regular
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