Termination Problems in Chemical Kinetics

  • Authors:
  • Gianluigi Zavattaro;Luca Cardelli

  • Affiliations:
  • Dip. Scienze dell'Informazione, Università di Bologna, Italy;Microsoft Research, Cambridge, UK

  • Venue:
  • CONCUR '08 Proceedings of the 19th international conference on Concurrency Theory
  • Year:
  • 2008

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Abstract

We consider nondeterministic and probabilistic termination problems in a process algebra that is equivalent to basic chemistry. We show that the existence of a terminating computation is decidable, but that termination with any probability strictly greater than zero is undecidable. Moreover, we show that the fairness intrinsic in stochastic computations implies that termination of all computation paths is undecidable, while it is decidable in a nondeterministic framework.