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boolean complexity

RAIRO - Theoretical Informatics and Applications (1)

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On maximal QROBDD's of Boolean functions
Jean-Francis Michon, Jean-Baptiste Yunès, Pierre Valarcher
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 39 / Issue 4 / October 2005

Published online by Cambridge University Press:

15 October 2005, pp. 677-686

Print publication:

October 2005
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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).