:(11) Given a CFL Li described by grammar G1: S1 ? asib | a CFL L2 described by G2: S2 ? CS2d a…

:(11) Given a CFL Li described by grammar G1: S1 ? asib | a CFL L2 described by G2: S2 ? CS2d a

(i) Show that Liu L2 is context free by constructing a complete grammar.

(ii) Using this grammar derive a string that belongs to Li

(iii) Using this grammar derive a string that belongs to L2.

(111) Consider the grammars Gi and G2 above. Show that Li Lz is context free by constructing a complete grammar.

(i) Derive any string wi that belongs to Li and any string w2 that belongs to L2.

(ii) Show that wi W2 that belongs to L1 L2

iv) Consider the grammars G1 above. Show that L1* is context free by constructing a complete grammar.

v)Name two closure properties that are true for regular languages that are not necessarily true for CFL.

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