The correct grammar for the following language L: L = {w: w is of the form SⁿDⁿ for some n ≥ 0} Is ______. A) = S | | D B) = empty string | S | | D C) = S D D) = empty string | S D

Question

Quizplus · Accepted Answer

The language L requires the word to have the form of SⁿDⁿ where n is greater than or equal to zero. This means that the word starts and ends with an S, has a series of S, U, P, and D segments in the middle, and the number of P1 segments before and after the D segment must be equal (i.e. n). This structure can be represented by using a recursive definition, where the word can either be empty, or it starts and ends with an S and has a D segment in the middle, with any number of recursive SUD segments in between. Therefore, choice D is the correct grammar for this language.

The Correct Grammar for the Following Language L: L =