psilon-paths}(q)$ as the set of all paths from state $q$ to any other state using only epsilon input transitions:</span>
<span id="cb1-34"><a href="#cb1-34" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb1-35"><a href="#cb1-35" aria-hidden="true" tabindex="-1"></a>$$\text{epsilon-paths}(q) = <span class="sc">\{</span>\langle (\epsilon, \gamma_1, q_1), (\epsilon, \gamma_2, q_2), \ldots, (\epsilon, \gamma_n, q_n) \rangle \mid q_1, \ldots, q_n \in Q \text{ and there is a path from } q \text{ to } q_n