The following grammar G generates numbers in binary notation. C --> C 0 | A 1 |0 (C is the start symbol) А --> В 0|С 1| 1 В --> А 0| В 1 Let L(G) = { w| C → w } That is L(G) is all the strings derived by G. Let S be the following set: S= {n| n=3*k_for k = 0,1,2....} Show that L(G) = S. That is the G generates all multiples of 3. Hint: You must show that L(G) is a subset of S and

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