Minimizing tree automata for unranked trees

  • Authors:
  • Wim Martens;Joachim Niehren

  • Affiliations:
  • Hasselt University and Transnational University of Limburg, Diepenbeek, Belgium;INRIA Futurs, LIFL, Mostrare project, Lille, France

  • Venue:
  • DBPL'05 Proceedings of the 10th international conference on Database Programming Languages
  • Year:
  • 2005

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Abstract

Automata for unranked trees form a foundation for XML schemas, querying and pattern languages. We study the problem of efficiently minimizing such automata. We start with the unranked tree automata (UTAs) that are standard in database theory, assuming bottom-up determinism and that horizontal recursion is represented by deterministic finite automata. We show that minimal UTAs in that class are not unique and that minimization is np-hard. We then study more recent automata classes that do allow for polynomial time minimization. Among those, we show that bottom-up deterministic stepwise tree automata yield the most succinct representations.