/span>
<span id="cb1-54"><a href="#cb1-54" aria-hidden="true" tabindex="-1"></a>This algorithm not only determines whether the string is accepted but also provides all possible paths through the automaton that lead to acceptance. If the result is an empty set, then the string is not in the language of the automaton.</span>
<span id="cb1-55"><a href="#cb1-55" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb1-56"><a href="#cb1-56" aria-hidden="true" tabindex="-1"></a>For deterministic finite automata