Each of the following CFGs has a production using the symbol and yet is not
Question:
Each of the following CFGs has a production using the symbol Λ and yet Λ is not a word in its language. Using the algorithm in this chapter, show that there are other CFGs for these languages that do not use Λ-productions:
(i)
S → aX I bX
X → a I b I Λ
(ii)
S → aX I bS I a I b
X → aX |a | Λ
(iii)
S → aS I bX
X → aX I Λ
(iv)
S → XaX I bX
X → XaX I XbX I Λ
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