Engineering, 24.03.2020 01:23 antonjas001
Prove the following languages are nonregular, once using the pumping lemma and once using the Myhill-Nerode theorem. When using the pumping lemma, try to use the most general (least restrictive) case:i) The language where the longest string of consecutive a's is longer than the longest string of consecutive b'sii) aibjajiii) aibjck, where k ≤ i+jiv) aibjck, where i is neither the least nor greatest out of i, j, and k.
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and y = a. If i = 1, we must have j = k and adding any number of a’s still preserves the membership in the language. For i > 2, all strings obtained by pumping y as defined above, have two or more a’s and hence are always in the language. For i = 2, we can take and y = aa. Since the strings obtained by pumping in this case always have an even number of a’s, they are all in the language. Finally, for the case i = 0, we take 
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Prove the following languages are nonregular, once using the pumping lemma and once using the Myhill...
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