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arXiv · 1602.05547

A Polynomial-Time Algorithm for Reachability in Branching VASS in Dimension One

Stefan Göller·Christoph Haase·Ranko Lazić·Patrick Totzke
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Abstract

Branching VASS (BVASS) generalise vector addition systems with states by allowing for special branching transitions that can non-deterministically distribute a counter value between two control states. A run of a BVASS consequently becomes a tree, and reachability is to decide whether a given configuration is the root of a reachability tree. This paper shows P-completeness of reachability in BVASS in dimension one, the first decidability result for reachability in a subclass of BVASS known so far. Moreover, we show that coverability and boundedness in BVASS in dimension one are P-complete as well.

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Stefan Göller, Christoph Haase, Ranko Lazić, Patrick Totzke. 2016-02-17. A Polynomial-Time Algorithm for Reachability in Branching VASS in Dimension One. https://arxiv.org/abs/1602.05547

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