... procedure: for all states and all, if there exists another path and transition such that , , and , and either (i) and or (ii) there exists such that and and , then we add to the set: . See figure 4 for an ... i.e.q’r’π’qere’πFigure 4: The path is invalid if , ,, and either (i) and or (ii) and ., for all . Then,. The history-less state has no incoming non- paths,therefore, by recursion, .We now ... of is . Hence, the cost of finding all for a given is . Therefore, the total cost is . For all non-empty , we create a new state and for all we set . We create a transition, and for all such that...