Bounded Depth Data Trees

@inproceedings{Bjrklund2007BoundedDD,
  title={Bounded Depth Data Trees},
  author={Henrik Bj{\"o}rklund and Mikolaj Bojanczyk},
  booktitle={ICALP},
  year={2007}
}
A data tree is a tree where each node has a label from a finite set, and a data value from a possibly infinite set. We consider data trees whose depth is bounded beforehand. By developing an appropriate automaton model, we show that under this assumption various formalisms, including a two variable first-order logic and a subset of XPath, have decidable emptiness problems. 
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Static analysis of XML transformation and schema

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