Bubble Trees and Syntactic Representations

Abstract

. A new mathematical object, the bubble tree, is introduced and applied to the syntactic representation of sentences. Two themes are explored: first, the comparison of dependency and constituency models; second, the application of bubble trees to a particular syntactic model. 1. Introduction One of the major issues in modern linguistics is the lack of a common language among linguists (as opposed to, say, mathematics), which leads to problems of finding correspondences between different idiolects. In particular, two differents models can hide more similarities than it appears at first sight. In Section 4, the two main models of syntactic representation, dependency and constituency, will be compared with the support of a common representational device, the bubble tree. Intuitively, bubble trees are trees whose nodes are bubbles which in turn contain sub-bubbles linked to other bubbles and so on. The only formal study of such mathematical structures, as far as I know, is by Gladkij 196...

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