If S Is a String Over (0 + 1)* Then

question 7

Multiple Choice

If s is a string over (0 + 1) * then let n0 (s) denote the number of 0's in s and n₁ (s) the number of l's in s. Which one of the following languages is not regular?

• A)L = {s € (0 + 1)*n0 (s) is a 3-digit prime
• B)L = {s € (0 + 1)* | for every prefix s' of s, l 0 (s') - n₁ (s') | <= 2 }
• C)L={s € (0+1)* | n0(s) - n₁(s) | <= 4}
• D)L = {s € (0 + 1) | n0 (s) mod 7 = n₁ (s) mod 5 = 0 }

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