Logic seminar: Kazuhisa Nakasho (Yamaguchi University)

November 16, 2022 @ 3:00 pm – 4:00 pm

<p>Title: Formalization of multivariable calculus in Mizar</p>


<p>In this presentation, I will report on the progress of the
formalization of multivariable calculus in Mizar. We are now formalizing
multivariable calculus with the aim of formalizing differential
manifolds, partial differential equations, and numerical analysis. In
the formalization of multivariable calculus, the handling of
higher-order partial derivatives tends to be more troublesome than in
the one variable case, but this can be alleviated somewhat by
introducing the Fréchet derivative in Banach space. I would like to give
an overview of the Mizar project and discuss topics ranging from the
definition of higher-order partial derivatives in normed spaces to
formalization of the implicit and inverse function theorems.</p>