Let G be a CFG in CNF with b variables. Show that if G derives any str — PYQDeck

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Module 2: Context-Free Languages (CFL) and PDA

20217m

Let $G$ be a CFG in CNF with $b$ variables. Show that if $G$ derives any string using at least $2^b$ steps, then $L(G)$ is infinite.

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PreviousShow that the language: L = \{ a^{n!} : n \ge 0 \} is not regular or not context-free.NextState and prove the pumping lemma for regular languages.