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arXiv · 1906.07069

Coverability is Undecidable in One-dimensional Pushdown Vector Addition Systems with Resets

Sylvain Schmitz·Georg Zetzsche
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Abstract

We consider the model of pushdown vector addition systems with resets. These consist of vector addition systems that have access to a pushdown stack and have instructions to reset counters. For this model, we study the coverability problem. In the absence of resets, this problem is known to be decidable for one-dimensional pushdown vector addition systems, but decidability is open for general pushdown vector addition systems. Moreover, coverability is known to be decidable for reset vector addition systems without a pushdown stack. We show in this note that the problem is undecidable for one-dimensional pushdown vector addition systems with resets.

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Sylvain Schmitz, Georg Zetzsche. 2019-06-17. Coverability is Undecidable in One-dimensional Pushdown Vector Addition Systems with Resets. https://doi.org/10.1007/978-3-030-30806-3_15

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