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Deterministic Automata on Unranked Trees

Authors Wolfgang Thomas, Julien Christau, Christof Löding



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Wolfgang Thomas
Julien Christau
Christof Löding

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Wolfgang Thomas, Julien Christau, and Christof Löding. Deterministic Automata on Unranked Trees. In Foundations of Semistructured Data. Dagstuhl Seminar Proceedings, Volume 5061, pp. 1-12, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2005)
https://doi.org/10.4230/DagSemProc.05061.3

Abstract

We investigate bottom-up and top-down deterministic automata on unranked trees. We show that for an appropriate definition of bottom-up deterministic automata it is possible to minimize the number of states efficiently and to obtain a unique canonical representative of the accepted tree language. For top-down deterministic automata it is well known that they are less expressive than the non-deterministic ones. By generalizing a corresponding proof from the theory of ranked tree automata we show that it is decidable whether a given regular language of unranked trees can be recognized by a top-down deterministic automaton. The standard deterministic top-down model is slightly weaker than the model we use, where at each node the automaton can scan the sequence of the labels of its successors before deciding its next move.
Keywords
  • Automata
  • unranked trees
  • parikh automata

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