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.

doi.org/10.4204/EPTCS.387.9
Electronic Proceedings in Theoretical Computer Science
Combined 30th International Workshop on Expressiveness in Concurrency and 20th Workshop on Structural Operational Semantic, EXPRESS/SOS 2023
Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands

Baeten, J., & Luttik, B. (2023). Parallel pushdown automata and commutative context-free grammars in bisimulation semantics. In Proceedings of the Combined 30th International Workshop on Expressiveness in Concurrency and 20th Workshop on Structural Operational Semantics (pp. 114–131). doi:10.4204/EPTCS.387.9