aria-hidden="true" tabindex="-1"></a>To initialize the transduction, we need to consider all possible paths from the initial state via epsilon transitions:</span>
<span id="cb1-53"><a href="#cb1-53" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb1-54"><a href="#cb1-54" aria-hidden="true" tabindex="-1"></a>$$\text{transduce}(T, \boldsymbol\sigma) = \text{transduce-from}(T, \boldsymbol\sigma, <span class="sc">\{</span>\langle \rangle \circ \epsilon\text{-path} \mid \epsilon\text{-path} \in \text{eps