Automata and computational probabilities

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Abstract

In this paper, we discuss the underlying ideas of a computer laboratory for symbolic manipulation of discrete random experiments. Finite automata, and associated formal series, are the basic theoretical tool for representing experiments, and for solving probability problems. Starting from a description of a random experiment given as a special kind of regular expressions, the environment constructs automata from which it extracts generating series associated to the experiment.

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Beaulieu, M. C., & Bergeron, A. (1999). Automata and computational probabilities. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1660, pp. 164–177). Springer Verlag. https://doi.org/10.1007/3-540-48057-9_14

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