Question 2 Consider the language represented by the regular expression \Lambda + bb* + ccc* Is \Lambda in this language? Yes No
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Step 1: The regular expression \Lambda +bb^(**)+ccc^(**) represents a language that includes strings that start with either an empty string (\Lambda), or with one or more occurrences of "bb" followed by one or more occurrences of "c". Show more…
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Let the alphabet ̳ = {a, b, c}. Given the regular expression r = b(a + c)*b, assume a language L(r) is the language defined by the regular expression r. Explain in English what accepted strings in the language are like.
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1. Prove that the language L1 = {0i1j0k | i > j or i < k} is not regular by using the pumping lemma. (Follow the template provided.) 2. Using closure properties of regular languages and the fact that L1 above is not regular to prove that the language L2 = {0i1j0k | i <= j and i >= k} is not regular. Hint: use regular languages closure under complementation and intersection with a regular expression.
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