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Article type: Research Article
Authors: Okhotin, Alexander | Salomaa, Kai | Domaratzki, Michael
Affiliations: School of Computing, Queen's University, Kingston, Ontario, Canada K7L 3N6
Abstract: We study caterpillar tree automata [3] that are restricted to enter any subtree at most one time (or k times). We show that, somewhat surprisingly, the deterministic one-visit automata can already, for instance, evaluate trees where the nodes represent some non-associative operations. We show that there exist regular tree languages that cannot be accepted by a one-visit automaton, thus proving a weakened form of a conjecture of Brüggemann-Klein and Wood [3]. We establish that the k-visit property is decidable.
Keywords: tree automata, regular tree languages, markup languages, k-visit property
Journal: Fundamenta Informaticae, vol. 52, no. 4, pp. 361-375, 2002
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