Reversal-Bounded Counter Machines Revisited

  • Authors:
  • Alain Finkel;Arnaud Sangnier

  • Affiliations:
  • LSV, ENS Cachan, CNRS,;LSV, ENS Cachan, CNRS, and EDF R&D, Cachan, France 94230

  • Venue:
  • MFCS '08 Proceedings of the 33rd international symposium on Mathematical Foundations of Computer Science
  • Year:
  • 2008

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Abstract

We extend the class of reversal-bounded counter machines by authorizing a finite number of alternations between increasing and decreasing mode over a given bound. We prove that extended reversal-bounded counter machines also have effective semi-linear reachability sets. We also prove that the property of being reversal-bounded is undecidable in general even when we fix the bound, whereas this problem becomes decidable when considering Vector Addition System with States.