CSCI 301 L32 Worksheet

Lecture 32 - Exercises

  1. Prove that the language \(L_1\) of properly nested parentheses is not regular.

  2. Prove that the language \(L_2 = \{1^{n^2}\}\) is not regular.

  3. Prove that the language \(L_3 = \{ww : w \in \{0, 1\}^*\}\) is not regular.