Mahler's expansion and boolean functions

Abstract : The substitution of X by X2 in binomial polynomials generates sequences of integers by Mahler's expansion. We give some properties of these integers and a combinatorial interpretation with covers by projection. We also give applications to the classification of boolean functions. This sequence arose from our previous research on classification and complexity of Binary Decision Diagrams (BDD) associated with boolean functions.
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Contributor : Jean-Baptiste Yunès <>
Submitted on : Thursday, March 29, 2007 - 8:36:16 AM
Last modification on : Thursday, February 7, 2019 - 5:33:23 PM


  • HAL Id : hal-00139041, version 1


Jean-Baptiste Yunès, Jean-Francis Michon, Pierre Valarcher. Mahler's expansion and boolean functions. Journal of Integer Sequences, University of Waterloo, 2007, 10 (3), pp.07.3.4. ⟨hal-00139041⟩



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