Definition:Unlimited Register Machine/Program/Length

Definition
Let $\Bbb U$ denote the set of all URM programs. Let $P \in \Bbb U$ be a URM program.

By definition, $P$ is a finite sequence of basic instructions.

We define the function $\lambda: \Bbb U \to \N$ as follows:
 * $\forall P \in \Bbb U: \map \lambda P = $ the number of basic instructions that comprise $P$

Thus $\map \lambda P$ is referred to as the length of $P$.