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Consider the following grammar G:
S → aXa ⎪ bXb ⎪ a ⎪ b
X → aX ⎪ bX ⎪ ε
Identify the language generated by the above G?
  • a)
    Regular but not finite
  • b)
    CFL but not regular
  • c)
    CSL but not CFL
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider the following grammar G:S → aXa bXb a bX → aX b...
Given,
The grammar G is:
S → aXa ⎪ bXb ⎪ a ⎪ b
X → aX ⎪ bX ⎪ ε
Now we have,
L(G) = {a, b, aaa, aba, bab, bbb,......}
L(G) = All non-empty strings that start and end with the same symbol.
∴ L(G) is regular but not finite.
Hence, the correct option is (A).
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Consider the following grammar G:S → aXa bXb a bX → aX bX εIdentify the language generated by the above G?a)Regular but not finiteb)CFL but not regularc)CSL but not CFLd)None of theseCorrect answer is option 'A'. Can you explain this answer?
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