vix.ing · top · new · best · stats

The probability of non-confluent systems

2014/04/01 by Alejandro Díaz-Caro, Gilles Dowek
Computer Science · #cs.LO

paper · pdf · doi:10.4204/eptcs.144.1

published as EPTCS 144, 2014, pp. 1-15 · In Proceedings DCM 2013, arXiv:1403.7685

arxiv created 2014/04/01 · arxiv updated 2014/04/02

Abstract

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.

Citations