However, the assumption of upward movement in the phrase structure tree should rule out movement into the projection interval of a non-ancestor.
m/D If p has multiple children in T and i and j are descended from different children in T , then there is a split point k such that T 's score is T has the maximum score over each of the above cases, for all valid choices of x and k. Note that for subproblems rooted at p, g is the grandparent index, while for subproblems rooted at x, p is the updated grandparent index.