Towards a verified smith normal form algorithm in isabelle/hol

  1. JOSÉ DIVASÓN
  2. JESÚS ARANSAY
Journal:
Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

ISSN: 1132-6360

Year of publication: 2018

Issue Title: Proceedings of the XVI EACA Zaragoza Encuentros de Algebra Computacional y Aplicaciones

Issue: 43

Pages: 43-46

Type: Article

More publications in: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

Abstract

In this note we report on a project to get a verified program to compute the Smith normal form of a matrix in Isabelle/HOL. The presented approach tries to tackle the problems that arise in an environment without dependent types as well as we try to reuse previous developments, keeping also the focus of the formalization on its full generality.