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Proving geometric theorems constitutes a hallmark of visual reasoning combining both intuitive and logical skills.
The thirteen books of Euclid’s Elements
Thomas Little Heath et al · 1956
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Plane geometry theorem proving using forward chaining
Arthur J Nevins · 1975
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On the decision problem and the mechanization of theorem proving in elementary geometry
Wu Wen-Tsün · 1978
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AUTOMATH, a language for mathematics
Nicolaas Govert de Bruijn · 1983
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Proving elementary geometry theorems using wu’s algorithm
Shang-Ching Chou · 1984
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Using gröbner bases to reason about geometry problems
Deepak Kapur · 1986
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On zeros of algebraic equations–an application of ritt principle
Wenjun Wu · 1986
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An introduction to wu’s method for mechanical theorem proving in geometry
Shang-Ching Chou · 1988
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A refutational approach to geometry theorem proving
Deepak Kapur · 1988
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Visual reasoning in geometry theorem proving
Michelle Y. Kim · 1989
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Automated production of traditional proofs in solid geometry
Shang-Ching Chou, Xiao-Shan Gao, and Jing-Zhong Zhang · 1995
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Realization of a geometry-theorem proving machine
H. Gelernter · 1995
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Probabilistic verification of elementary geometry statements
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A formal system for euclid’s elements
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An introduction to java geometry expert – (extended abstract)
Z. Ye, S.C. Chou, and X.S. Gao · 2011
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Barycentric coordinates in olympiad geometry
Max Schindler and Evan Chen · 2012
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Dealing with degeneracies in automated theorem proving in geometry
Zoltán Kovács, Tomas Recio, Luis F Tabera, and M Pilar Vélez · 2021
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How can it be feasible to find proofs?
W. T. Gowers · 2024
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Open source prover in the attic
Zoltán Kovács and Alexander Vujic · 2024
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The Interactive Geometry Software Cinderella
Jürgen Richter-Gebert and Ulrich Kortenkamp · 1999
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A deductive database approach to automated geometry theorem proving and discovering
S.C. Chou, X.S. Gao, and J.Z. Zhang · 2000
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https://aimoprize.com/
Aimo prize
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https://imo-grand-challenge.github.io/
Imo grand challenge
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https://skmo.sk/cvika/ukazpdf.php?pdf=diplomka.pdf
Peter novotný’s masters thesis
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Coordinate and trigonometry bashing
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Solving olympiad geometry without human demonstrations
Trieu H Trinh, Yuhuai Wu, Quoc V Le, He He, and Thang Luong · 2024
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