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The parse tree below represents a rightmost derivation according to the grammar S → AB, A → aS|a, B → bA. Which of the following are right-sentential forms corresponding to this derivation?

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The parse tree below represents a rightmost derivation according to the grammar S → AB, A → aS|a, B → bA. Which of the following are right-sentential forms corresponding to this derivation?

(a) aAbAba

(b) aababa

(c) aABba

(d) aSba

The question was posed to me in class test.

This intriguing question originated from The NFA with n-moves to the DFA in division Finite Automata and Regular Expression of Compiler

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Correct option is (b) aababa

Best explanation: S => AB => AbA => Aba => aSba => aABba => aAbAba => aAbaba => aababa.

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