## 2. Let \( G \) be the context-free grammar with non-terminal symbols \( V = \{S, A, B\} \), terminal symbols \( \Sigma = \{a, b\} \), start symbol \( S \), and productions \( P \): - \( S \to ABb \) - \( S \to Bb \) - \( A \to aB \) - \( A \to b \) - \( B \to ab \) - \( B \to \epsilon \) ### Which of these strings can be generated by \( G \)? (a) ab (b) bb (c) baaba (d) aababb (e) abb (f) bbb --- ### Solution All strings must end in **b**, that eliminates **(c)**. It isn’t possible to make three consecutive **b**’s, so **(f)** is eliminated. **(a), (b), (d), and (e)** are all generated by \( G \).