Formal Proof of the Group Law for Edwards Elliptic Curves

DOI10.1007/978-3-030-51054-1_15OpenAlexW3046858693MaRDI QIDQ5049006

Thomas C. Hales, Rodrigo Raya

Publication date: 9 November 2022

Published in: Automated Reasoning (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12030

Mathematics Subject Classification ID

Theorem proving (automated and interactive theorem provers, deduction, resolution, etc.) (68V15)

Related Items

An elementary proof of the group law for elliptic curves

Uses Software

• Coq
• Isabelle/Isar
• Isar
• NaCl

Cites Work

• An elementary proof of the group law for elliptic curves
• Faster computation of the Tate pairing
• A Formal Library for Elliptic Curves in the Coq Proof Assistant
• The Security Impact of a New Cryptographic Library
• Twisted Edwards Curves
• Primality Proving with Elliptic Curves
• Automating Elementary Number-Theoretic Proofs Using Gröbner Bases
• Faster Addition and Doubling on Elliptic Curves
• A normal form for elliptic curves
• Context Aware Calculation and Deduction
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