Model checking coverability graphs of vector addition systems

  • Authors:
  • Michel Blockelet;Sylvain Schmitz

  • Affiliations:
  • LSV, ENS Cachan & CNRS, Cachan, France;LSV, ENS Cachan & CNRS, Cachan, France

  • Venue:
  • MFCS'11 Proceedings of the 36th international conference on Mathematical foundations of computer science
  • Year:
  • 2011

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Abstract

A large number of properties of a vector addition system-- for instance coverability, boundedness, or regularity--can be decided using its coverability graph, by looking for some characteristic pattern. We propose to unify the known exponential-space upper bounds on the complexity of such problems on vector addition systems, by seeing them as instances of the model-checking problem for a suitable extension of computation tree logic, which allows to check for the existence of these patterns. This provides new insights into what constitutes a "coverabilitylike" property.