论文标题

在更高维度(组合方法)中,发射率的射击几何形状机械化

Mechanization of Incidence Projective Geometry in Higher Dimensions, a Combinatorial Approach

论文作者

Schreck, Pascal, Magaud, Nicolas, Braun, David

论文摘要

已经开发了几种工具来增强2D平面中定理的自动化。但是,在3D中,仅研究了几种方法,据我们所知,在更高的维度上没有做任何事情。在本文中,我们在维度3、4和5中介绍了一些入射率几何定理的例子。

Several tools have been developed to enhance automation of theorem proving in the 2D plane. However, in 3D, only a few approaches have been studied, and to our knowledge, nothing has been done in higher dimensions. In this paper, we present a few examples of incidence geometry theorems in dimensions 3, 4, and 5. We then prove them with the help of a combinatorial prover based on matroid theory applied to geometry.

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