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On maximal QROBDD's of Boolean functions

Published online by Cambridge University Press:  15 October 2005

Jean-Francis Michon ,
Jean-Baptiste Yunès  and
Pierre Valarcher
Jean-Francis Michon
Affiliation:
Université de Rouen, LIFAR, 75821 Mont Saint Aignan Cedex, France; jean.francis.michon@univ-rouen.fr; pierre.valarcher@univ-rouen.fr
Jean-Baptiste Yunès
Affiliation:
Université Paris 7, LIAFA, 175 rue du Chevaleret, 75013 Paris, France; Jean-Baptiste.Yunes@liafa.jussieu.fr
Pierre Valarcher
Affiliation:
Université de Rouen, LIFAR, 75821 Mont Saint Aignan Cedex, France; jean.francis.michon@univ-rouen.fr; pierre.valarcher@univ-rouen.fr
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Abstract

We investigate the structure of “worst-case” quasi reduced ordered decision diagrams and Boolean functions whose truth tables are associated to: we suggest different ways to count and enumerate them. We, then, introduce a notion of complexity which leads to the concept of “hard” Boolean functions as functions whose QROBDD are “worst-case” ones. So we exhibit the relation between hard functions and the Storage Access function (also known as Multiplexer).

Keywords

Boolean functionsBoolean complexityBoolean graphsbinary decision diagramsBDDOBDD

Information

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 39 , Issue 4 , October 2005 , pp. 677 - 686
Copyright
© EDP Sciences, 2005

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References

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