Question 5 1 pts Consider the production rules: S aSa The goal is to have a gram

Question

Question 5 1 pts Consider the production rules: S aSa The goal is to have a grammar that defines the language of palindromes over the alphabet {a, b}. (Palindromes are strings that read the same from left to right and from right to left. For instance, A,a, aa, aba are palindromes and abab is not.) The three productions above are not sufficient. Which two additional rules are necessary to have a grammar for the language of palindromes? Below I give four possibilities, For each, determine whether it does the job (properly complements the three top rules). a. [Select ] works/Doesn't work a I Select ] Works/Doesn't work C. Sa Select] Works/Doesn't work d. S bbSbb Sa [ Select ] Works/Doesn't work

Explanation / Answer

a) doesn't work

Explanation : it can generate any number of b's

b) doesn't work

Explanation : can't generate b's

C)works

Explanation : it can perfectly generates palindromes over a's and b's

d) doesn't works

Explanation : only generates 4 multiple length b's

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