Question

Question 2 (20%) Convert the following CFG into an equivalent CFG in Chomsky normal form using the procedure discussed in the textbook. Show every step in the conversion.

A → ABC

A → a | ε

B → b

C → c

Answer 1

Chomsky normal form every production in the for of A->XY or A->a

here A,X,Y are variables and 'a' is terminal

i)A->ABC is written as

A->AX

X->BC

ii)A->a this is in cnf

A->ε this is also in cnf

B → b this is also in cnf

C → c this is also in cnf

answer is)

A->AX

X->BC

A → a | ε

B → b

C → c

here variables are {A,B,C,X}

terminals are {a,b,c,ε}

start symbol is {A}