Hoeksema  proposes a lexicalist, categorial, analysis of Dutch verb clusters in which VR verbs are assigned polymorphic categories of the following type:
The $-symbol in these category-schemata represents a variable which can be instantiated by an arbitrary number of arguments, all of which must be dominated by a \. Thus, the category of willen subsumes VP/VP, (NP\VP)/(NP\VP), and (NP\(NP\VP))/(NP\(NP\VP)). Example (2b), for instance, is derived as follows (VP = NP\S):
Extraposition verbs are simply assigned a category which selects for a VP complement on its right, thus eliminating the need for a special extraposition-operation:
PE verbs, finally, are treated as VR verbs, that is, they also receive a polymorphic category (7). The difference between the two verb types is that for VR verbs, cross-serial word order is obligatory, whereas for PE verbs this constraint does not hold. We will explain below how this difference is accounted for.
The analysis of  differs from previous categorial analyses in that it derives the possibility of cross-serial word order as a consequence of the category of certain lexical items. Other categorial analyses have accounted for cross-serial word order either by combining a non-directional flexible categorial grammar with word order constraints [14,11,15] or by introducing disharmonic rules of composition [13,4]. This has the disadvantage that quite detailed and intricate constraints are needed to ensure that cross-serial word order arises only in the context of VR verbs. By using lexically assigned category schemata the latter is achieved naturally.