Formalization of Algebraic Theorems in PVS (Invited Talk)

Author:

Ayala-Rincón Mauricio,Arielly de Lima Thaynara,Avelar Andréia B.,Galdino André Luiz

Abstract

This talk discusses current extensions on the theory algebra from the NASA/PVSlibrary on formal developments for the Prototype Verification System (PVS). It discusses the approach to formalizing theorems of the ring theory and how they are applied to infer properties of specific algebraic structures. As cases of study, we will present recent formalizations on the theories of Euclidean Domains and Quaternions. Moreover, we will show how a general verification of Euclid’s division algorithm can be specialized to verify this algorithm for specific Euclidean Domains, and how the abstract theory of Quaternions can be parameterized to deal with the structure of Hamilton’s Quaternions.

Publisher

EasyChair

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Formalizing Factorization on Euclidean Domains and Abstract Euclidean Algorithms;Electronic Proceedings in Theoretical Computer Science;2024-04-23

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