If the elements in the problem are real numbers, the decision-tree lower bound extends to the real random-access machine model with an instruction set that includes addition, subtraction and multiplication of real numbers, as well as comparison and either division or remaindering ("floor").
In cases where the problem involves real numbers, the decision-tree lower bound is expanded to the real random-access machine model, which supports a range of instructions including basic arithmetic (addition, subtraction, multiplication), comparisons, and either division or rounding down ("floor").