2026/03/12 by Kévin Dubrulle, Véronique Bruyère, Guillermo A. Pérez +1 · 1 voice
Computer Science · #cs.CC #cs.FL
paper · pdf · doi:10.48550/arxiv.2603.11648
arxiv published 2026/03/12 · arxiv updated 2026/05/11
As an alternative to visibly pushdown automata, we introduce visibly recursive automata (VRAs), composed of a set of classical automata that can call each other. VRAs are a strict extension of so-called systems of procedural automata, a model proposed by Frohme and Steffen. We study the complexity of standard language-theoretic operations and classical decision problems for VRAs. Since the class of deterministic VRAs forms a strict subclass in terms of expressiveness, we propose a (weaker) notion that does not restrict expressive power and which we call codeterminism. Codeterminism comes with many desirable algorithmic properties that we demonstrate by using it, e.g., as a stepping stone towards implementing complementation of VRAs.