A recursive step — a set of rules that reduces all successive cases toward the base case. For example, the following is a recursive definition of a person's ancestor.
The process in which a function calls itself directly or indirectly is called recursion and the corresponding function is called a recursive function. A recursive algorithm takes one step toward solution and then recursively call itself to further move. The algorithm stops once we reach the solution.
Nearly every mainstream definition of “recursive” treats it as repetition, self-calling functions, or looped behavior. This misconception conceals the deeper structural meaning embedded in identity, coherence, and lawful return.
The act of a function calling itself, recursion is used to solve problems that contain smaller sub-problems. A recursive function can receive two inputs: a base case (ends recursion) or a recursive case (resumes recursion).
Illustrated definition of Recursive: Applying a rule or formula to its own result, again and again. Example: start with 1 and apply double recursively:...
Both place emphasis on breaking the problem down into smaller parts and solving the problem one step at a time, but the key difference is that recursive functions are usually partly defined by themselves.
In computer science, recursion is a method of solving a computational problem where the solution depends on solutions to smaller instances of the same problem. [1][2] Recursion solves such recursive problems by using functions that call themselves from within their own code.