Algorithm 8 below may require some clarifications. First, it is important to note that the plans Y (line 1) are traversed in pre-order—parents before children. The scaling calculation depends on the parent having the scaled probability.  Second, the iteration over sub-plans Y essentially captures all plans in the subtree rooted in the parent plan P, except for those in the subtree rooted by P's child X, which already has been adjusted by YOYO* prior to the call to this algorithm. In fact, the use of X 's team T to scale only other plans makes sure that any of X 's siblings, that are alternatives to X for the team T , do not get scaled.

This is correct because this procedure is called when incorporating evidence for X (rather than any of its siblings).

1: for all subplans Y of P, where team ( Y ) ̸= T, in pre-order do bt+1(Y, ¬block) ← bt+1(Y, ¬block)+
2:
be+1(Y, block) ← be+1(Y, block)+ be(parent(Y),-block)be+1(parent(Y),-block)
3:

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