Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

One of the following is a recursive definition of the set of bit strings that ar

ID: 3012174 • Letter: O

Question

One of the following is a recursive definition of the set of bit strings that are palindromes. There are two types of palindromes, so we need two base cases, namely lambda is a palindrome, and x is a palindrome for every symbol x. The recursive step is that if alpha is a palindrome and x is a symbol, then x alpha x is a palindrome. There is only one palindrome, so we need only one base case, namely lambda is a palindrome, and x is the only palindrome for every symbol x. The definition is impossible to be formed. There are two types of palindromes, so we need two base cases, namely lambda is a palindrome, and x is a palindrome for every symbol x. The recursive step is that if alpha is a palindrome and x is a symbol, then x alpha x is NOT a palindrome.

Explanation / Answer

The empty string is a palindrome. All strings with one character are palindromes. All strings of the form cwc are palindromes, where c is a character and w is a palindrome.

hence option A) is correct

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at drjack9650@gmail.com
Chat Now And Get Quote