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.

G. Zavattaro, L. Cardelli (2008). Termination Problems in Chemical Kinetics. BERLIN : Springer.

Termination Problems in Chemical Kinetics

ZAVATTARO, GIANLUIGI;
2008

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.
2008
Proc. CONCUR 2008 - Concurrency Theory, 19th International Conference
477
491
G. Zavattaro, L. Cardelli (2008). Termination Problems in Chemical Kinetics. BERLIN : Springer.
G. Zavattaro; L. Cardelli
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/66610
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