To implement a program is a function called "recursive palindrome" that checks whether a given string is a palindrome.
Recursive Palindrome Theory is not a recognized theory or concept in computer science or mathematics. It seems that you may be referring to the general idea of using recursion to determine whether a string is a palindrome.
A palindrome is a sequence of characters that reads the same forwards and backward. Recursive palindrome algorithms apply the concept of recursion to solve the problem by breaking it down into smaller subproblems.
The recursive approach to check if a string is a palindrome typically follows these steps:
The base case is a condition that defines the simplest form of a palindrome. In this case, it is usually when the string has a length of 0 or 1 since an empty string or a single character is considered a palindrome.
If the string has a length greater than 1, the recursive step involves checking if the first and last characters of the string are equal. If they are, then the substring excluding the first and last characters is recursively checked using the same approach.
The recursive palindrome algorithm continues breaking down the string until it reaches the base case or determines that the string is not a palindrome.