this outcome is captured by squaring a shared parameter belonging to the left-fringe determiner The: In these grammars, dependents' attachment probabilities, given heads, are additionally conditioned only on their relative positions -as in traditional models (Klein and Manning, 2004;Paskin, 2001b):  DBM-2 allows different but related grammars to coexist in a single model.
we presuppose that all sentences are assigned to one of two classes: complete and incomplete (comp ∈ {T, F}, for now taken as exogenous).