In fact, it constrains reordering for the phrase-based model, as Cherry finds that the cohesion constraint is used "primarily to prevent distortion" and to provide "an intelligent estimate as to when source order must be respected" (Cherry, 2008).
since the hierarchical phrasebased model already conducts principled reordering search with rules through the more constrained chart-decoding, ill-formed derivations exhibit themselves more often as nonconstituent translation than interrupted translation as defined in (Cherry, 2008;Bach et al., 2009a,b) (They do have a non-empty intersection, but neither subsumes the other).