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Model Checking Vector Addition Systems with one zero-test

Rémi Bonnet ; Alain FInkel ; Jérôme Leroux ; Marc Zeitoun.

We design a variation of the Karp-Miller algorithm to compute, in a forward manner, a finite representation of the cover (i.e., the downward closure of the reachability set) of a vector addition system with one zero-test. This algorithm yields decision procedures for several problems for these&nbsp;[&hellip;]

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Reachability Analysis of Communicating Pushdown Systems

Alexander Heussner ; Jérôme Leroux ; Anca Muscholl ; Grégoire Sutre.

The reachability analysis of recursive programs that communicate asynchronously over reliable FIFO channels calls for restrictions to ensure decidability. Our first result characterizes communication topologies with a decidable reachability problem restricted to eager runs (i.e., runs where messages&nbsp;[&hellip;]

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The General Vector Addition System Reachability Problem by Presburger Inductive Invariants

leroux jerome.

The reachability problem for Vector Addition Systems (VASs) is a central problem of net theory. The general problem is known to be decidable by algorithms exclusively based on the classical Kosaraju-Lambert-Mayr-Sacerdote-Tenney decomposition. This decomposition is used in this paper to prove that&nbsp;[&hellip;]

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