We consider the computational model of the Queue Automaton. An old result is that the deterministic queue automaton is equally expressive as the Turing machine. In a previous paper, we introduced the Reactive Turing Machine, enhancing the Turing machine with a notion of interaction. The Reactive Turing Machine defines all executable processes. In this paper, we prove that the non-deterministic queue automaton is equally expressive as the Reactive Turing Machine. Together with finite automata, pushdown automata and parallel pushdown automata, queue automata form a nice hierarchy of executable processes, with stacks, bags and queues as central elements.

doi.org/10.1007/978-3-032-20684-8_2
Lecture Notes in Computer Science

Baeten, J., & Luttik, B. (2026). The Queue Automaton Revisited. Juggling Formal Methods and Security: Essays Dedicated to Sjouke Mauw on the Occasion of His 65th Birthday, 8–28. doi:10.1007/978-3-032-20684-8_2