工程数学:奇次定理的证明

Georges Gonthier
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引用次数: 38

摘要

即使在计算机工具的帮助下,研究级数学的形式化描述和验证仍然是一项艰巨的任务,尤其是因为数学家们结合各种理论以达到目的的才能。通过结合来自类型论、语言设计和软件工程的工具和技术,我们已经设法捕获了足够的这些实践来形式化奇序定理的证明,奇序定理是群论中的一个里程碑式的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Engineering mathematics: the odd order theorem proof
Even with the assistance of computer tools, the formalized de-scription and verification of research-level mathematics remains a daunting task, not least because of the talent with which mathema-ticians combine diverse theories to achieve their ends. By combin-ing tools and techniques from type theory, language design, and software engineering we have managed to capture enough of these practices to formalize the proof of the Odd Order theorem, a landmark result in Group Theory.
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