Decidability of LTL for vector addition systems with one zero-test

  • Authors:
  • Rémi Bonnet

  • Affiliations:
  • LSV, CNRS, ENS Cachan

  • Venue:
  • RP'11 Proceedings of the 5th international conference on Reachability problems
  • Year:
  • 2011

Quantified Score

Hi-index 0.00

Visualization

Abstract

We consider the class of Vector Addition Systems with one zero-test and we show that the model-checking problem for LTL is decidable thanks to a reduction to the computability of the cover and the decidability of reachability. Our proof uses the notion of increasing loop, that we refine to fit the non-standard monotony of our system.