Abstract
In February 1998 Sergey Markelov [71 from the Moscow Center for Continuous Mathjematics Education sent a set of five geometric theorems to Dongming Wang for testing the capability of his GEOTHER package [8], with the aim of presenting a challenge to computer provers to prove really hard theorems. These theorems have been
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Ekhad, S.B.: Plane geometry: An elementary school textbook (ca. 2050 AD).The Mathematical Intelligencer 21/3: 64–70 (1999).
Fèvre, S., Wang, D.: Proving geometric theorems using Clifford algebra and rewrite rules. In: Proc. CADE-15 (Lindau, Germany, July 5-10, 1998),LNA1 1421, pp. 17–32 (1998).
Hestenes, D., Sobczyk, G.:Clifford algebra to geometric calculus. D. Reidel, Dordrecht Boston (1984).
Gao, X.-S.: Transcendental functions and mechanical theorem proving in elementary geometries.J. Automated Reasoning 6: 403–417 (1990).
Li, H.: Vectorial equations solving for mechanical geometry theorem proving.J. Automated Reasoning 25: 83–121 (2000).
Li, H., Cheng, M.: Clifford algebraic reduction method for automated theorem proving in differential geometry.J. Automated Reasoning 21: 1–21 (1998).
Markelov, S.: Geometry solver. E-mail communication of February 11, 1998 from (markelov@dnttm.ru).
Wang, D.: GEOTHER: A geometry theorem prover. In: Proc. CADE-13 (New Brunswick, USA, July 30-August 3, 1996),LNAI 1104, pp. 166–170 (1996).
Wang, D.: Clifford algebraic calculus for geometric reasoning with application to computer vision. In: Automated deduction in geometry (Wang, D., ed.),LNAI 1360, pp. 115–140 (1997).
Wu, W.-T: Some recent advances in mechanical theorem-proving of geometries. In: Automated theorem proving: After 25 years (Bledsoe, W.W., Loveland, D.W., eds.),Contemp. Math. 29, pp. 235–241 (1984).
Wu, W.-t.:Mechanical theorem proving in geometries: Basic principles. Springer, Wien, New York (1994).
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Hou, X., Li, H., Wang, D. et al. “Russian killer” no. 2: A challenging geometric theorem with human and machine proofs. The Mathematical Intelligencer 23, 9–15 (2001). https://doi.org/10.1007/BF03024512
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DOI: https://doi.org/10.1007/BF03024512