Which of these is the correct way to remove left-recursion from
this?
T -> Xα|δ
X -> Tβ
Options to remove left-recursion from above:
1.
T -> Xα|δ
X -> δβX'
X' -> αβX' | ε
2.
T -> δT'
T' -> XT' | ε
X -> βα
3.
T -> Xα | δ
X -> δβ | Xαβ
4.
T -> δXα | δ
X -> X'X | ε
X' -> αβ
Explain your reasoning for each choice.
Answer: Choice 2
T -> δT'
T' -> XT' | ε
X -> βα
Explanation: Left Recursion occurs if the
production if of the form
A --> Ab | c
Then we write below lines to remove left recursion, we
introduce epsilon transition as well
A-->cA'
A' -> b | epsilon
Coming to the above example
T -> Xα|δ
X -> Tβ
We can see that T -> Tβα | δ
Hence we write T -> δT'
Then T' -> XT' | ε (epsilon is introduced )
and X becomes βα
Thanks, PLEASE UPVOTE. Please comment if there is any
concern.,
Which of these is the correct way to remove left-recursion from this? T -> Xα|δ X...
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