.  Let $W$ be a word over ${\mathcal{A}}^{\pm 0}$ and $n \ge 0$ be an integer. Then the decision problems that inquire whether the width $ h(W)$ or the spelling length $h_0(W)$ of $W$ is equal to $n$ belong to $\textsf{L}^0$ and $\textsf{P}$. Specifically, the problems can be solved in deterministic space $O((\log|W|)^0)$ or in deterministic time $O( |W|^0\log|W| )$.  