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Consider the following grammar G: S aSa | bSb| aa. (a) Describe in words the language L generated by G. (b) Use induction to prove

Consider the following grammar G: S aSa | bSb| aa.

(a) Describe in words the language L generated by G.

(b) Use induction to prove L(G) subset of L (i.e., prove by induction on n that for any string w of length n, w in L(G) implies that w has the property you described in (a)).

(c) Is this grammar ambiguous?

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