, Volume 50, Issue 2, pp 161-172,
Open Access This content is freely available online to anyone, anywhere at any time.

Formalization of Definitions and Theorems Related to an Elliptic Curve Over a Finite Prime Field by Using Mizar


In this paper, we introduce our formalization of the definitions and theorems related to an elliptic curve over a finite prime field. The elliptic curve is important in an elliptic curve cryptosystem whose security is based on the computational complexity of the elliptic curve discrete logarithm problem.

This work was partly supported by JSPS KAKENHI 21240001 and 22300285.