Simulation Problems Over One-Counter Nets

Piotr Hofman, Sławomir Lasota, Richard Mayr, Patrick Totzke · Logical Methods in Computer Science · 2016

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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