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

نویسندگان

  • Stefan Göller
  • Christoph Haase
  • Ranko Lazic
  • Patrick Totzke
چکیده

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. 1998 ACM Subject Classification F.1.1 Models of Computation

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تاریخ انتشار 2016