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arXiv · 1304.4104

Decidability of Weak Simulation on One-counter Nets

Piotr Hofman·Richard Mayr·Patrick Totzke
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Abstract

One-counter nets (OCN) are Petri nets with exactly one unbounded place. They are equivalent to a subclass of one-counter automata with only a weak test for zero. We show that weak simulation preorder is decidable for OCN and that weak simulation approximants do not converge at level omega, but only at omega^2. In contrast, other semantic relations like weak bisimulation are undecidable for OCN, and so are weak (and strong) trace inclusion.

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Piotr Hofman, Richard Mayr, Patrick Totzke. 2014-06-15. Decidability of Weak Simulation on One-counter Nets. https://arxiv.org/abs/1304.4104

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