English

Visibly pushdown automata on trees: universality and u-universality

Formal Languages and Automata Theory 2012-05-15 v1

Abstract

An automaton is universal if it accepts every possible input. We study the notion of u-universality, which asserts that the automaton accepts every input starting with u. Universality and u-universality are both EXPTIME-hard for non-deterministic tree automata. We propose efficient antichain-based techniques to address these problems for visibly pushdown automata operating on trees. One of our approaches yields algorithms for the universality and u-universality of hedge automata.

Keywords

Cite

@article{arxiv.1205.2841,
  title  = {Visibly pushdown automata on trees: universality and u-universality},
  author = {Véronique Bruyère and Marc Ducobu and Olivier Gauwin},
  journal= {arXiv preprint arXiv:1205.2841},
  year   = {2012}
}
R2 v1 2026-06-21T21:03:00.686Z