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Language universals are statements that are true of all languages, for example: “all languages have stop consonants”. But beneath this simple definition lurks deep ambiguity, and this triggers misunderstanding in both interdisciplinary discourse and within linguistics itself. A core dimension of the ambiguity is captured by the opposition “absolute vs. statistical universal”, although the literature uses these terms in varied ways. Many textbooks draw the boundary between absolute and statistical according to whether a sample of languages contains exceptions to a universal. But the notion of an exception-free sample is not very revealing even if the sample contained all known languages: there is always a chance that an as yet undescribed language, or an unknown language from the past or future, will provide an exception.
Multicomponent Tree Adjoining Grammars (MCTAG) is a formalism that has been shown to be useful for many natural language applications. The definition of MCTAG however is problematic since it refers to the process of the derivation itself: a simultaneity constraint must be respected concerning the way the members of the elementary tree sets are added. This way of characterizing MCTAG does not allow to abstract away from the concrete order of derivation. In this paper, we propose an alternative definition of MCTAG that characterizes the trees in the tree language of an MCTAG via the properties of the derivation trees (in the underlying TAG) the MCTAG licences. This definition gives a better understanding of the formalism, it allows a more systematic comparison of different types of MCTAG, and, furthermore, it can be exploited for parsing.