Challeng in simplifying the Grammer

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challeng ! in simplifying the Grammer

It is a challeng grammer to be simplified by removing all useless, unit, and epsilon (empty string)-productions:

S -> abAB |CD
A -> aBA |epsilon (empty string)
B -> ABb |A |epsilon (empty string)
C -> bb |CD
D -> bD


if no one answer it :smile:
 
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D is a useless symbol

The grammar produces all strings beginning with ab and followed any sequence of a and b symbols. An equivalent grammar follows:

S -> ab H
H -> Ha | Hb | epsilon
 

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