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arXiv · 1602.00476

Simulation Problems Over One-Counter Nets

Piotr Hofman·Slawomir Lasota·Richard Mayr·Patrick Totzke
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Abstract

One-counter nets (OCN) are finite automata equipped with a counter that can store non-negative integer values, and that cannot be tested for zero. Equivalently, these are exactly 1-dimensional vector addition systems with states. We show that both strong and weak simulation preorder on OCN are PSPACE-complete.

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Piotr Hofman, Slawomir Lasota, Richard Mayr, Patrick Totzke. 2016-03-10. Simulation Problems Over One-Counter Nets. https://doi.org/10.2168/lmcs-12(1%3A6)2016

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