We propose a parser for free word order languages, based on ideas from the Minimalist Program. The parser simulates aspects of a human listener who necessarily begins sentence analysis before all the words have become available. We first sketch the problems that free word order languages pose. One such problem is discontinuous noun phrase constituency. Languages like Latin permit verbs, adjectives and so on to split noun phrases. We assume that the human parser assembles syntactic structures in the process of understanding a sentence; what happens to noun phrase fragments that arrive later in the derivation? Those that arrive earlier enter the existing syntactic structures, so they become less accessible. What mechanism best incorporates la...