2-Visibly Pushdown Automata

  • Dario Carotenuto
  • Aniello Murano
  • Adriano Peron
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4588)


Visibly Pushdown Automata (VPA) are a special case of pushdown machines where the stack operations are driven by the input. In this paper, we consider VPA with two stacks, namely 2-VPA. These automata introduce a useful model to effectively describe concurrent pushdown systems using a simple communication mechanism between stacks. We show that 2-VPA are strictly more expressive than VPA. Indeed, 2-VPA accept some context-sensitive languages that are not context-free and some context-free languages that are not accepted by any VPA. Nevertheless, the class of languages accepted by 2-VPA is closed under all boolean operations and determinizable in ExpTime, but does not preserve decidability of emptiness problem. By adding an ordering constraint on stacks (2-OVPA), decidability of emptiness can be recovered (preserving desirable closure properties) and solved in PTime. Using these properties along with the automata-theoretic approach, we prove that the model checking problem over 2-OVPA models against 2-OVPA specifications is ExpTime-complete.


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© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Dario Carotenuto
    • 1
  • Aniello Murano
    • 1
  • Adriano Peron
    • 1
  1. 1.Università degli Studi di Napoli “Federico II”, Via Cinthia, I-80126 NapoliItaly

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