English

Simulation Over One-counter Nets is PSPACE-Complete

Formal Languages and Automata Theory 2013-10-24 v1

Abstract

One-counter nets (OCN) are Petri nets with exactly one unbounded place. They are equivalent to a subclass of one-counter automata with just a weak test for zero. Unlike many other semantic equivalences, strong and weak simulation preorder are decidable for OCN, but the computational complexity was an open problem. We show that both strong and weak simulation preorder on OCN are PSPACE-complete.

Keywords

Cite

@article{arxiv.1310.6303,
  title  = {Simulation Over One-counter Nets is PSPACE-Complete},
  author = {Piotr Hofman and Slawomir Lasota and Richard Mayr and Patrick Totzke},
  journal= {arXiv preprint arXiv:1310.6303},
  year   = {2013}
}

Comments

Extended version of material presented at the FST&TCS 2013 conference. 22 pages

R2 v1 2026-06-22T01:52:39.608Z