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» Visual Reasoning in Geometry Theorem Proving
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IJCAI
1989
13 years 6 months ago
Visual Reasoning in Geometry Theorem Proving
We study the role of visual reasoning as a computationally feasible heuristic tool in geometry problem solving. We use an algebraic notation to represent geometric objects and to ...
Michelle Y. Kim
CADE
1998
Springer
13 years 9 months ago
A Combination of Nonstandard Analysis and Geometry Theorem Proving, with Application to Newton's Principia
Abstract. The theorem prover Isabelle is used to formalise and reproduce some of the styles of reasoning used by Newton in his Principia. The Principia's reasoning is resolute...
Jacques D. Fleuriot, Lawrence C. Paulson
IUI
2010
ACM
13 years 11 months ago
Intelligent understanding of handwritten geometry theorem proving
Computer-based geometry systems have been widely used for teaching and learning, but largely based on mouse-andkeyboard interaction, these systems usually require users to draw fi...
Yingying Jiang, Feng Tian, Hongan Wang, Xiaolong Z...
IWAR
1992
13 years 6 months ago
Automated Reasoning in Differential Geometry and Mechanics Using Characteristic Method
This paper reports the study of properties of the curve pairs of the Bertrand types using our automated reasoning program based on Wu's method of mechanical theorem proving fo...
Shang-Ching Chou, Xiao-Shan Gao