Which of the following definitions generates the same language as L, where
L = { WWᴿ | W ∈ {a, b}* }

Question

Which of the following definitions generates the same language as L, where L = { WWᴿ | W ∈ {a, b}* }

Accepted Answer

Correct answer: B — The language L consists of even-length palindromes over {a, b}. The grammar S → aSa | bSb | ε correctly generates this by recursively adding matching characters around a center until the empty string is reached. Other options fail to enforce the palindrome structure or miss required cases like the empty string.

Answer

A. S → aSb | bSa | ε

Answer

B. S → aSa | bSb | ε

Answer

C. S → aSb | bSa | aSa | bSb | ε

Answer

D. S → aSb | bSa | aSa | bSb

Which of the following definitions generates the same language as L, where L =…