Image for Grzegorczyk Hierarchy

Grzegorczyk Hierarchy

The Grzegorczyk Hierarchy is a way to categorize functions based on their computational complexity and how they can be constructed from basic functions. It organizes functions into levels, with each level representing functions that can be computed using simpler functions and limited forms of recursion. Lower levels include very basic functions like addition, while higher levels encompass more complex functions. This hierarchy helps computer scientists understand the limits of computation and the growth of function complexity, illustrating a structured way to analyze which functions are computationally feasible within different constraints.