The probability of non-confluent systems

@inproceedings{DazCaro2013ThePO,
  title={The probability of non-confluent systems},
  author={Alejandro D{\'i}az-Caro and Gilles Dowek},
  booktitle={DCM},
  year={2013}
}
We show how to provide a structure of probability space to the set of execution traces on a non-confluent abstract rewrite system, by defining a variant of a Lebesgue measure on the space of traces. Then, we show how to use this probability space to transform a non-deterministic calculus into a probabilistic one. We use as example Lambda+, a recently introduced calculus defined through type isomorphisms. 
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