The probability of non-confluent systems

Alejandro Díaz-Caro
Gilles Dowek

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.

In Mauricio Ayala-Rincón, Eduardo Bonelli and Ian Mackie: Proceedings 9th International Workshop on Developments in Computational Models (DCM 2013), Buenos Aires, Argentina, 26 August 2013, Electronic Proceedings in Theoretical Computer Science 144, pp. 1–15.
Published: 30th March 2014.

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