Mechanization of Incidence Projective Geometry in Higher Dimensions, a Combinatorial Approach
arXiv:2201.00539 · doi:10.4204/EPTCS.352.8
Abstract
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.
In Proceedings ADG 2021, arXiv:2112.14770