Yvon  Gauthier, 
    Arithmetical Logic for AI Deep Learning,
    International Journal of Soft Computing,
    Volume 13,Issue 1,
    2018,
    Pages 31-36,
    ISSN 1816-9503,
    ijscomp.2018.31.36,
    (https://makhillpublications.co/view-article.php?doi=ijscomp.2018.31.36)
    Abstract: A logico-mathematical foundation for deep learning in artificial intelligence is proposed using Kronecker’s theory of homogeneous polynomials and Hensel’s lifting lemma in modular arithmetic. It is suggested that such a foundation is appropriate for the multileveled architec tures of deep learning scenarios in artificial intelligence.
    Keywords: Polynomial modular logic;modular arithmetic;Kronecker’s theory of forms;Hen-sel’s lifting lemma;foundation;homogeneous