On maximal QROBDD's of boolean functions
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 39 (2005) no. 4, pp. 677-686.

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).

DOI : 10.1051/ita:2005036
Classification : 06E30, 68Q15, 94C10, 94C15
Mots-clés : boolean functions, boolean complexity, boolean graphs, binary decision diagrams, BDD, OBDD 
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     title = {On maximal {QROBDD's} of boolean functions},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
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Michon, Jean-Francis; Yunès, Jean-Baptiste; Valarcher, Pierre. On maximal QROBDD's of boolean functions. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 39 (2005) no. 4, pp. 677-686. doi : 10.1051/ita:2005036. http://archive.numdam.org/articles/10.1051/ita:2005036/

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