Step 1 The regular expression for the portion of the string that occurs before the substring "aaa" and does not contain "aaa" is: ( b + a b + a a b ) ∗ (b + ab + aab)^* Explanation: This part of the regular expression accounts for any possible sequence of "a"s and "b"s that does not contain the substring "aaa." b b matches a single "b." a b ab matches a single "b" preceded by an "a." a a b aab matches two "a"s followed by a "b." The entire group is enclosed in parentheses and repeated zero or more times using the * operator. Step 2 The regular expression for the portion of the string that occurs after the substring "aaa" and does not contain "aaa" is: ( b a a + b a + b ) ∗ (baa + ba + b)^* Explanation: This part of the regular expression accounts for any possible sequence of "a"s and "b"s that comes after the occurrence of "aaa" and does not contain the substring "aaa." b a a baa matches a single "b" followed by two "a"s. b a ba matches a single "b" followed by an "a." b b matches a single "b." The entire group is enclosed in parentheses and repeated zero or more times using the * operator. Example String: Consider the string: "bbaabaabaaab" Before the substring "aaa": The portion of the string before the first "aaa" is "bbaab". Let's check if it matches the first part of our regular expression, ( b + a b + a a b ) ∗ (b + ab + aab)^* : "b" (matches b b ) "b" (matches b b ) "aab" (matches a a b <

Computer science

Let Σ = {a, b}. Write a regular expression for the language L consisting of all strings in Σ∗ with exactly one occurrence of the substring aaa.

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Computer science

Computer science

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