a) Design a CFG for the language, L = { w ∈ {a, b}* : w contains more ‘a’ than ‘b’}

Computer Networking: A Top-Down Approach (7th Edition)
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a) Design a CFG for the language, L = { w ∈ {a, b}* : w contains more ‘a’ than ‘b’}

 

b) Consider L1 = {w ∈ {a, b}* : w contains more ‘a’ than ‘b’} and L2 = {w ∈ {b, c}* : w has the same number of ‘b’ and ‘c’}. State whether L1 ∩ L2 is context free or not.
(HINT: pumping lemma)

 

c)Convert the given grammar into CNF: 
S → a B | C
B → C d S | ε
C → c e B B | B d

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