Reynald Affeldt
Cyril Cohen
2017
Formal foundations of 3D geometry to model robot manipulators
Yves Bertot
Viktor Vafeiadis
Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and Proofs, CPP 2017, Paris, France, January 16-17, 2017
ACM
30–42
10.1145/3018610.3018629
P. O. Bell
1955
Generalized Theorems of Desargues for n-Dimensional Projective Space
Proceedings of the American Mathematical Society
6
5
675–681
10.2307/2032913
http://www.jstor.org/stable/2032913
Francisco Botana
Markus Hohenwarter
Predrag Janicic
Zoltán Kovács
Ivan Petrovi\'c
Tomas Recio
Simon Weitzhofer
2015
Automated Theorem Proving in GeoGebra: Current Achievements
Journal of Automated Reasoning
55
39–59
10.1007/s10817-015-9326-4
D. Braun
N. Magaud
P. Schreck
2021
Two New Ways to Formally Prove Dandelin-Gallucci's Theorem
ISSAC 2021 : International Symposium on Symbolic and Algebraic Computation
ACM
10.1145/3452143.3465550
David Braun
2019
Approche combinatoire pour l'automatisation en Coq des preuves formelles en géométrie d'incidence projective
Université de Strasbourg
David Braun
Nicolas Magaud
Pascal Schreck
2019
Two cryptomorphic formalizations of projective incidence geometry
Ann. Math. Artif. Intell.
85
2-4
193–212
10.1007/s10472-018-9604-z
Shang-Ching Chou
1987
Mechanical Geometry Theorem Proving
Kluwer Academic Publishers
Norwell, MA, USA
10.1007/978-94-009-4037-6
Shang-Ching Chou
Xiao-Shan Gao
Jing-Zhong Zhang
1994
Machine Proofs in Geometry
Series on Applied Mathematics
World Scientific
10.1142/2196
Jack Edmonds
1971
Matroids and the greedy algorithm
Mathematical Programming
1
1
127–136
10.1007/BF01584082
Laurent Fuchs
Laurent Théry
2010
A Formalization of Grassmann-Cayley Algebra in COQ and Its Application to Theorem Proving in Projective Geometry
Pascal Schreck
Julien Narboux
Jürgen Richter-Gebert
Automated Deduction in Geometry - 8th International Workshop, 2010, Munich, Germany, July 22-24, 2010, Revised Selected Papers
Lecture Notes in Computer Science
6877
Springer
51–67
10.1007/978-3-642-25070-5_3
H. Gelernter
1959
Realization of a Geometry Theorem-Proving Machine
Proc. of the International Conference on Information Processing
UNESCO
273–281
10.5555/216408.216418
Ákos G Horváth
2017
Gallucci's axiom revisited
arXiv preprint arXiv:1712.04800
Predrag Janicic
Julien Narboux
Pedro Quaresma
2010
The Area Method
Journal of Automated Reasoning - JAR
48
10.1007/s10817-010-9209-7
Magaud, Nicolas and Narboux, Julien and Schreck, Pascal
2012
A Case Study in Formalizing Projective Geometry in Coq: Desargues Theorem
Computational Geometry : Theory and Applications
45
8
406–424
10.1016/j.comgeo.2010.06.004
Dominique Michelucci
Pascal Schreck
2006
Incidence Constraints: a Combinatorial Approach
Int. Journal of Computational Geometry and Applications
16
5-6
443–460
10.1142/S0218195906002130
Forest Ray Moulton
1902
A Simple Non-Desarguesian Plane Geometry
Transactions of the American Mathematical Society
3
2
192–195
10.1090/S0002-9947-1902-1500595-3
James G Oxley
2006
Matroid Theory
3
Oxford University Press, USA
Eugenio Roanes-Macías
Eugenio Roanes-Lozano
2006
A Maple Package for Automatic Theorem Proving and Discovery in 3D-Geometry
Francisco Botana
Tomás Recio
Automated Deduction in Geometry, 6th International Workshop, ADG 2006, Pontevedra, Spain, Aug. 31-Sept. 2, 2006. Revised Papers
Lecture Notes in Computer Science
4869
Springer
171–188
10.1007/978-3-540-77356-6_11
William Thomas Tutte
1959
Matroids and graphs
Transactions of the American Mathematical Society
90
3
527–552
10.2307/1993185
Zheng Ye
Shang-Ching Chou
Xiao-Shan Gao
2010
Visually Dynamic Presentation of Proofs in Plane Geometry: Part 2. Automated Generation of Visually Dynamic Presentations with the Full-Angle Method and the Deductive Database Method
Journal of Automated Reasoning
45
10.1007/s10817-009-9163-4