English

Parallel Pushdown Automata and Commutative Context-Free Grammars in Bisimulation Semantics (Extended Abstract)

Logic in Computer Science 2023-09-15 v1

Abstract

A classical theorem states that the set of languages given by a pushdown automaton coincides with the set of languages given by a context-free grammar. In previous work, we proved the pendant of this theorem in a setting with interaction: the set of processes given by a pushdown automaton coincides with the set of processes given by a finite guarded recursive specification over a process algebra with actions, choice, sequencing and guarded recursion, if and only if we add sequential value passing. In this paper, we look what happens if we consider parallel pushdown automata instead of pushdown automata, and a process algebra with parallelism instead of sequencing.

Keywords

Cite

@article{arxiv.2309.07308,
  title  = {Parallel Pushdown Automata and Commutative Context-Free Grammars in Bisimulation Semantics (Extended Abstract)},
  author = {Jos C. M. Baeten and Bas Luttik},
  journal= {arXiv preprint arXiv:2309.07308},
  year   = {2023}
}

Comments

In Proceedings EXPRESS/SOS2023, arXiv:2309.05788. arXiv admin note: text overlap with arXiv:2203.01713

R2 v1 2026-06-28T12:20:49.824Z