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Are formal restrictions on crossing dependencies epiphenominal?

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Figure

Figure 3: Dependency schemas showing edge degree and end-point crossing. In both the dependencytrees,nodes are modified byX Xh →Xd is a crossing dependency
Figure 5: Gap degree as a function of sentnece length and tree depth in real and random trees
Figure 6: Edge degree as a function of sentence length and tree maximum arity for real and random trees.
Table 1: Mixed-effect Poisson regression results for all the crossing constraints and dependency treemeasures for 14 languages

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