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

01/03/2022

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by   Pascal Schreck, et al.

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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.