Tree automata and XPath on compressed trees

  • Authors:
  • Markus Lohrey;Sebastian Maneth

  • Affiliations:
  • FMI, University of Stuttgaert, Germany;Faculté I & C, EPFL, Switzerland

  • Venue:
  • CIAA'05 Proceedings of the 10th international conference on Implementation and Application of Automata
  • Year:
  • 2005

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Abstract

The complexity of various membership problems for tree automata on compressed trees is analyzed. Two compressed representations are considered: dags, which allow to share identical subtrees in a tree, and straight-line context-free tree grammars, which moreover allow to share identical intermediate parts of a tree. Several completeness results for the classes NL, P, and PSPACE are obtained. Finally, the complexity of the XPath evaluation problem on trees that are compressed via straight-line context-free tree grammars is investigated.