Weihrauch Degree

Weihrauch degrees are a way to compare the computational difficulty of mathematical problems and functions. Imagine different tasks, some easy and some extremely complex; Weihrauch degrees categorize these tasks based on whether a computer can transform the output of one into another using a fixed method. Tasks within the same degree are essentially equivalent in complexity, while different degrees indicate varying levels of computational challenge. This framework helps mathematicians understand how problems relate to each other in terms of computability and the resources needed to solve them.