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State and explain pumping lemma for regular languages. Using pumping lemma prove that the language L={0^n 1^n | n>=0} is not regular.

Mumbai University > Computer Engineering > Sem 4 > Theoretical Computer Science

Marks: 10M

Year: Dec 2016

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Pumping Lemma

Let L be a regular language and let Z be a word of L such that |z|>=n,

Where n is the minimum number of DFA states required for recognizing L, then we can write z=uvw

Where |uv|<=n and 1<=|v|<=n.

Such that all strings of the form

uv^iw for …

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