The Metric Monad for Probabilistic Nondeterminism

@inproceedings{Breugel2006TheMM,
  title={The Metric Monad for Probabilistic Nondeterminism},
  author={Franck van Breugel},
  year={2006}
}
A metric on the set of Borel probability measures on a metric space, introduced by Kantorovich in the early fourties, is shown to be the metric to model the computational effect of probabilistic nondeterminism. This metric gives rise to robust models, since small changes in the probabilities result in small changes in the distances. 
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