No Shannon effect on probability distributions on Boolean functions induced by random expressions - Inria - Institut national de recherche en sciences et technologies du numérique
Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2010

No Shannon effect on probability distributions on Boolean functions induced by random expressions

Résumé

The Shannon effect states that "almost all'' Boolean functions have a complexity close to the maximal possible for the uniform probability distribution. In this paper we use some probability distributions on functions, induced by random expressions, and prove that this model does not exhibit the Shannon effect.
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Dates et versions

hal-01185582 , version 1 (20-08-2015)

Identifiants

Citer

Antoine Genitrini, Bernhard Gittenberger. No Shannon effect on probability distributions on Boolean functions induced by random expressions. 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), 2010, Vienna, Austria. pp.303-316, ⟨10.46298/dmtcs.2784⟩. ⟨hal-01185582⟩

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