A lower bound for the coverability problem in acyclic pushdown VAS

We investigate the coverability problem for a one-dimensional restriction of pushdown vector addition systems with states. We improve the lower complexity bound to PSpace, even in the acyclic case. •We investigate the coverability problem for a one-dimensional restriction of pushdown vector addition...

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Veröffentlicht in:Information processing letters 2021-04, Vol.167, p.106079, Article 106079
Hauptverfasser: Englert, Matthias, Hofman, Piotr, Lasota, Sławomir, Lazić, Ranko, Leroux, Jérôme, Straszyński, Juliusz
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Sprache:eng
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Zusammenfassung:We investigate the coverability problem for a one-dimensional restriction of pushdown vector addition systems with states. We improve the lower complexity bound to PSpace, even in the acyclic case. •We investigate the coverability problem for a one-dimensional restriction of pushdown vector addition systems with state.•We improve the lower complexity bound of the problem to PSPACE.•The construction is surprisingly simple and works even in the acyclic case.
ISSN:0020-0190
1872-6119
DOI:10.1016/j.ipl.2020.106079