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20062024
most citedDemystifying Reachability in Vector Addition Systems

88 citations · 281 across the 25 of their papers we have counts for

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cs.FL2024

Invariants for One-Counter Automata with Disequality Tests

Dmitry Chistikov, Jérôme Leroux, Henry Sinclair-Banks +1

We study the reachability problem for one-counter automata in which transitions can carry disequality tests. A disequality test is a guard that prohibits a specified counter value.…

cs.FL2020

Reachability in fixed dimension vector addition systems with states

Wojciech Czerwiński, Sławomir Lasota, Ranko Lazić +2

The reachability problem is a central decision problem for formal verification based on vector addition systems with states (VASS), which are equivalent to Petri nets and form one…

cs.FL2019★ 4 cited

On Functions Weakly Computable by Pushdown Petri Nets and Related Systems

J. Leroux, M. Praveen, Ph. Schnoebelen +1

We consider numerical functions weakly computable by grammar-controlled vector addition systems (GVASes, a variant of pushdown Petri nets). GVASes can weakly compute all fast growi…

cs.FL2018

The Reachability Problem for Petri Nets is Not Elementary

Wojciech Czerwinski, Slawomir Lasota, Ranko Lazic +2

Petri nets, also known as vector addition systems, are a long established model of concurrency with extensive applications in modelling and analysis of hardware, software and datab…

cs.FL2015

On Boundedness Problems for Pushdown Vector Addition Systems

Jérôme Leroux, Grégoire Sutre, Patrick Totzke

We study pushdown vector addition systems, which are synchronized products of pushdown automata with vector addition systems. The question of the boundedness of the reachability se…

cs.FL2015

On the Coverability Problem for Pushdown Vector Addition Systems in One Dimension

Jérôme Leroux, Grégoire Sutre, Patrick Totzke

Does the trace language of a given vector addition system (VAS) intersect with a given context-free language? This question lies at the heart of several verification questions invo…