@inproceedings(Affeldt, author = {Reynald Affeldt and Cyril Cohen}, year = {2017}, title = {Formal foundations of 3D geometry to model robot manipulators}, editor = {Yves Bertot and Viktor Vafeiadis}, booktitle = {Proceedings of the 6th {ACM} {SIGPLAN} Conference on Certified Programs and Proofs, {CPP} 2017, Paris, France, January 16-17, 2017}, publisher = {{ACM}}, pages = {30--42}, doi = {10.1145/3018610.3018629}, ) @article(Bell, author = {P.~O. Bell}, year = {1955}, title = {Generalized Theorems of Desargues for n-Dimensional Projective Space}, journal = {Proceedings of the American Mathematical Society}, volume = {6}, number = {5}, pages = {675--681}, doi = {10.2307/2032913}, url = {http://www.jstor.org/stable/2032913}, ) @article(Botana, author = {Francisco Botana and Markus Hohenwarter and Predrag Janicic and Kov\IeC{\'a}cs, Zolt\IeC{\'a}n and Petrovi\IeC{\'c}, Ivan and Tomas Recio and Simon Weitzhofer}, year = {2015}, title = {Automated Theorem Proving in GeoGebra: Current Achievements}, journal = {Journal of Automated Reasoning}, volume = {55}, pages = {39--59}, doi = {10.1007/s10817-015-9326-4}, ) @inproceedings(BMS21, author = {D.~Braun and N.~Magaud and P.~Schreck}, year = {2021}, title = {Two New Ways to Formally Prove Dandelin-Gallucci's Theorem}, booktitle = {ISSAC 2021 : International Symposium on Symbolic and Algebraic Computation}, publisher = {ACM}, doi = {10.1145/3452143.3465550}, ) @phdthesis(Braun2019, author = {David Braun}, year = {2019}, title = {Approche combinatoire pour l'automatisation en Coq des preuves formelles en g\'eom\'etrie d'incidence projective}, school = {{U}niversit\'e de Strasbourg}, ) @article(BMS19, author = {David Braun and Nicolas Magaud and Pascal Schreck}, year = {2019}, title = {Two cryptomorphic formalizations of projective incidence geometry}, journal = {Ann. Math. Artif. Intell.}, volume = {85}, number = {2-4}, pages = {193--212}, doi = {10.1007/s10472-018-9604-z}, ) @book(chou, author = {Shang-Ching Chou}, year = {1987}, title = {Mechanical Geometry Theorem Proving}, publisher = {Kluwer Academic Publishers}, address = {Norwell, MA, USA}, doi = {10.1007/978-94-009-4037-6}, ) @book(chou94, author = {Shang-Ching Chou and Xiao-Shan Gao and Jing-Zhong Zhang}, year = {1994}, title = {Machine Proofs in Geometry}, series = {Series on Applied Mathematics}, publisher = {World Scientific}, doi = {10.1142/2196}, ) @article(edmond, author = {Jack Edmonds}, year = {1971}, title = {{Matroids and the greedy algorithm}}, journal = {{Mathematical Programming}}, volume = {1}, number = {1}, pages = {127--136}, doi = {10.1007/BF01584082}, ) @inproceedings(DBLP:conf/adg/FuchsT10, author = {Laurent Fuchs and Laurent Th{\'{e}}ry}, year = {2010}, title = {A Formalization of Grassmann-Cayley Algebra in {COQ} and Its Application to Theorem Proving in Projective Geometry}, editor = {Pascal Schreck and Julien Narboux and Richter{-}Gebert, J{\"{u}}rgen}, booktitle = {Automated Deduction in Geometry - 8th International Workshop, 2010, Munich, Germany, July 22-24, 2010, Revised Selected Papers}, series = {Lecture Notes in Computer Science}, volume = {6877}, publisher = {Springer}, pages = {51--67}, doi = {10.1007/978-3-642-25070-5\_3}, ) @inproceedings(Gelernter, author = {H.~Gelernter}, year = {1959}, title = {Realization of a Geometry Theorem-Proving Machine}, booktitle = {Proc. of the International Conference on Information Processing}, publisher = {UNESCO}, pages = {273--281}, doi = {10.5555/216408.216418}, ) @inproceedings(galluccibis, author = {{\'A}kos~G Horv{\'a}th}, year = {{2017}}, title = {{Gallucci's axiom revisited}}, booktitle = {{arXiv preprint arXiv:1712.04800}}, ) @article(Janicic, author = {Predrag Janicic and Julien Narboux and Pedro Quaresma}, year = {2010}, title = {The Area Method}, journal = {Journal of Automated Reasoning - JAR}, volume = {48}, doi = {10.1007/s10817-010-9209-7}, ) @article(desargueslong, author = {{Magaud, Nicolas and Narboux, Julien and Schreck, Pascal}}, year = {{2012}}, title = {{A Case Study in Formalizing Projective Geometry in Coq: Desargues Theorem}}, journal = {{Computational Geometry : Theory and Applications}}, volume = {{45}}, number = {8}, pages = {{406--424}}, doi = {10.1016/j.comgeo.2010.06.004}, ) @article(MS06, author = {Dominique Michelucci and Pascal Schreck}, year = {2006}, title = {{Incidence Constraints: a Combinatorial Approach}}, journal = {{Int. Journal of Computational Geometry and Applications}}, volume = {16}, number = {5-6}, pages = {443--460}, doi = {10.1142/S0218195906002130}, ) @article(moulton, author = {Forest~Ray Moulton}, year = {1902}, title = {{A Simple Non-Desarguesian Plane Geometry}}, journal = {{Transactions of the American Mathematical Society}}, volume = {3}, number = {2}, pages = {192--195}, doi = {10.1090/S0002-9947-1902-1500595-3}, ) @book(oxley, author = {James~G Oxley}, year = {2006}, title = {{Matroid Theory}}, volume = {3}, publisher = {{Oxford University Press, USA}}, ) @inproceedings(Roanes-MaciasR06, author = {Roanes{-}Mac{\'{\i}}as, Eugenio and Roanes{-}Lozano, Eugenio}, year = {2006}, title = {{A Maple Package for Automatic Theorem Proving and Discovery in 3D-Geometry}}, editor = {Francisco Botana and Tom{\'{a}}s Recio}, booktitle = {Automated Deduction in Geometry, 6th International Workshop, {ADG} 2006, Pontevedra, Spain, Aug. 31-Sept. 2, 2006. Revised Papers}, series = {Lecture Notes in Computer Science}, volume = {4869}, publisher = {Springer}, pages = {171--188}, doi = {10.1007/978-3-540-77356-6\_11}, ) @article(tutte, author = {William~Thomas Tutte}, year = {1959}, title = {Matroids and graphs}, journal = {{Transactions of the American Mathematical Society}}, volume = {90}, number = {3}, pages = {527--552}, doi = {10.2307/1993185}, ) @article(YeChouGao, author = {Zheng Ye and Shang-Ching Chou and Xiao-Shan Gao}, year = {2010}, title = {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 = {Journal of Automated Reasoning}, volume = {45}, doi = {10.1007/s10817-009-9163-4}, )