A Matroid-Based Automatic Prover and Coq Proof Generator for Projective Incidence Geometry
We present an automatic theorem prover for projective incidence geometry. This prover
does not consider coordinates. Instead, it follows a combinatorial approach based on the …
does not consider coordinates. Instead, it follows a combinatorial approach based on the …
Mechanization of incidence projective geometry in higher dimensions, a combinatorial approach
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 …
plane. However, in 3D, only a few approaches have been studied, and to our knowledge …
Towards Automatic Transformations of Coq Proof Scripts
N Magaud - arXiv preprint arXiv:2401.11897, 2024 - arxiv.org
Proof assistants like Coq are increasingly popular to help mathematicians carry out proofs of
the results they conjecture. However, formal proofs remain highly technical and are …
the results they conjecture. However, formal proofs remain highly technical and are …
Integrating an automated prover for projective geometry as a new tactic in the coq proof assistant
N Magaud - arXiv preprint arXiv:2107.05493, 2021 - arxiv.org
Recently, we developed an automated theorem prover for projective incidence geometry.
This prover, based on a combinatorial approach using matroids, proceeds by saturation …
This prover, based on a combinatorial approach using matroids, proceeds by saturation …
[PDF][PDF] Automatic Transformations of Coq Proof Scripts Work in Progress
N Magaud - dpt-info.di.unistra.fr
Proof assistants like Coq are increasingly popular to help mathematicians carry out proofs of
the results they conjecture. However, formal proofs remain highly technical and are …
the results they conjecture. However, formal proofs remain highly technical and are …