 \text{ using only } \epsilon \text{ input transitions}<span class="sc">\}</span>$$</span>
<span id="cb1-36"><a href="#cb1-36" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb1-37"><a href="#cb1-37" aria-hidden="true" tabindex="-1"></a>We'll define a transduction function $\text{transduce-from}(T, \boldsymbol\sigma, P)$ where $P$ is a set of partial paths:</span>
<span id="cb1-38"><a href="#cb1-38" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb1-39"><a href="#cb1-39" aria-hidden="true" t