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Three generators for minimal writing-space computations

Published online by Cambridge University Press:  15 April 2002

Serge Burckel  and
Marianne Morillon
Serge Burckel
Affiliation:
Département de Mathématiques et d'Informatique, 15 avenue René Cassin, Université de la Réunion, 97490 Saint-Denis, France; (burckel@univ-reunion.fr)
Marianne Morillon
Affiliation:
Département de Mathématiques et d'Informatique, 15 avenue René Cassin, Université de la Réunion, 97490 Saint-Denis, France; (mar@univ-reunion.fr)
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Abstract

We construct, for each integer n, three functions from {0,1}n to {0,1} such that any boolean mapping from {0,1}n to {0,1}n can be computed with a finite sequence of assignations only using the n input variables and those three functions.

Keywords

Boolean functionsmodels of computations.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 34 , Issue 2 , March 2000 , pp. 131 - 138
Copyright
© EDP Sciences, 2000

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References

de Bruijn, N.G., A combinatorial problem. Indag. Math. 8 (1946) 461-467.
Burckel, S., Closed Iterative Calculus. Theoret. Comput. Sci. 158 (1996) 371-378. CrossRef
S. Burckel and M. Morillon, Computing Without Copying (submitted).
Piccard, S., Sur les fonctions définies dans les ensembles finis quelconques. Fund. Math. 24 (1935) 298-301.