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2. (24 points] Consider the following grammar G: S aSa | bSb|aa. (a) [8 points) Describe in words the language L generated by G. (b)

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2. (24 points] Consider the following grammar G: S aSa | bSb|aa. (a) [8 points) Describe in words the language L generated by G. (b) [8 points] Use induction to prove L(G) CL (i.e., prove by induction on n that for any string w of length n, w E L(G) implies that w has the property you described in (a)). (b) [8 points] Is this grammar ambiguous? No justification is needed

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