A case study in formalizing projective geometry in Coq: Desargues theorem

Author:

Magaud Nicolas,Narboux Julien,Schreck Pascal

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Control and Optimization,Geometry and Topology,Computer Science Applications

Reference25 articles.

1. Interactive Theorem Proving and Program Development, CoqʼArt: The Calculus of Inductive Constructions;Bertot,2004

2. On the mechanization of the proof of Hessenbergʼs theorem in coherent logic;Bezem;J. of Automated Reasoning,2008

3. Using three-valued logic to specify and verify algorithms of computational geometry;Brandt,2005

4. Handbook of Incidence Geometry,1995

5. Non-Desargusian geometries and the foundations of geometry from David Hilbert to Ruth Moufang;Cerroni;Historia Mathematica,2004

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1. A Matroid-Based Automatic Prover and Coq Proof Generator for Projective Incidence Geometry;Journal of Automated Reasoning;2024-01-18

2. Encoding Dependently-Typed Constructions into Simple Type Theory;Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs;2023-01-11

3. Mechanization of Incidence Projective Geometry in Higher Dimensions, a Combinatorial Approach;Electronic Proceedings in Theoretical Computer Science;2021-12-30

4. Duality Notions in Real Projective Plane;Formalized Mathematics;2021-12-01

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