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Discrete Mathematics & Theoretical Computer Science
Article . 2005 . Peer-reviewed
Data sources: Crossref
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Episciences
Article . 2005
Data sources: Episciences
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Conference object . 2005
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Conference object . 2005
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Random Boolean expressions

Authors: Gardy, Danièle;

Random Boolean expressions

Abstract

We examine how we can define several probability distributions on the set of Boolean functions on a fixed number of variables, starting from a representation of Boolean expressions by trees. Analytic tools give us a systematic way to prove the existence of probability distributions, the main challenge being the actual computation of the distributions. We finally consider the relations between the probability of a Boolean function and its complexity.

Keywords

[INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO], [INFO.INFO-SC] Computer Science [cs]/Symbolic Computation [cs.SC], [info.info-hc] computer science [cs]/human-computer interaction [cs.hc], [info.info-sc] computer science [cs]/symbolic computation [cs.sc], [info.info-lo] computer science [cs]/logic in computer science [cs.lo], probability of tautologies, boolean function, probability distribution for boolean functions, Boolean function, QA1-939, [INFO.INFO-HC] Computer Science [cs]/Human-Computer Interaction [cs.HC], complexity, Mathematics, probability distribution for Boolean functions

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    16
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Top 10%
Top 10%
Green
Published in a Diamond OA journal