👉 In mathematics, a hoare hierarchy is a type of hierarchical data structure that allows for efficient sorting and searching of lists. It consists of two halves, known as the left half and the right half, each containing all elements in strictly increasing order. The "hoare" prefix indicates that this structure follows the Hoare's property, which states that any function with a constant number of arguments can be reduced to a single binary operation. In other words, if f(n) is a function taking n