A univalent formalization of the p-adic numbers

被引：10
|
作者：
Pelayo, Alvaro [1 ,2 ]
Voevodsky, Vladimir [2 ]
Warren, Michael A.
机构：
[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
[2] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
来源：
MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE | 2015年 / 25卷 / 05期
基金：
美国国家科学基金会;
关键词：
CONVEXITY;
D O I：
10.1017/S0960129514000541
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The goal of this paper is to report on a formalization of the p-adic numbers in the setting of the second author's univalent foundations program. This formalization, which has been verified in the Coq proof assistant, provides an approach to the p-adic numbers in constructive algebra and analysis.
引用
收藏
页码：1147 / 1171
页数：25
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