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Show that language L={0^i | i is prime number} is not regular

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

Marks: 5M

Year: May 2016

1 Answer
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  1. we dont know m, but assume there is one
  2. Choose a string w=0^i where i is a prime number and |xyz|=n>m+1(This can always be done because there is no largest prime number) Any prefix of w consists entirely of 0's.
  3. We dont know the decomposition of w into xyz but …

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