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Homogeneous Length Functions on Groups: Intertwined Computer and Human Proofs
Journal of Automated Reasoning ( IF 1.1 ) Pub Date : 2019-04-16 , DOI: 10.1007/s10817-019-09523-1
Siddhartha Gadgil

We describe a case of an interplay between human and computer proving which played a role in the discovery of an interesting mathematical result (Fritz et al. in Algebra Number Theory 12:1773–1786, 2018 ). The unusual feature of the use of computers here was that a computer generated but human readable proof was read, understood, generalized and abstracted by mathematicians to obtain the key lemma in an interesting mathematical result.

中文翻译:

群上的齐次长度函数:交织的计算机和人类证明

我们描述了人类和计算机证明之间相互作用的案例,该案例在发现一个有趣的数学结果中发挥了作用(Fritz 等人在 Algebra Number Theory 12:1773–1786, 2018 中)。这里使用计算机的不同寻常的特征是,计算机生成但人类可读的证明被数学家阅读、理解、概括和抽象,以获得有趣的数学结果中的关键引理。
更新日期:2019-04-16
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