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Use the pumping lemma to prove that the following languages are not regular: (a) . (The alphabet for this language is { 0, 1, ,

Use the pumping lemma to prove that the following languages are not regular:

(a) image text in transcribed . (The alphabet for this language is { 0, 1, image text in transcribed, = }. For example, 1010 = 10 image text in transcribed 101 is in image text in transcribed, but 1010 = 10 image text in transcribed 1 is not.)

(b) Let image text in transcribed . Consider each row to be a binary number and let image text in transcribed .

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