12 Our solution to this search problem is to make the simplifying assumption that the syntactic tree that is used in the optimal set of structures (τ * , χ * ) will always be among the top few trees τ for which P S (τ | w 1−n ) is the greatest.
although we suppose that quantifier scope information is relevant to parsing, we do not suppose that it is so strong a determinant as to completely override syntactic factors.