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Self-evident Automated Proving Based on Point Geometry from the Perspective of Wu's Method Identity

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成果类型:
期刊论文
作者:
Zhang Jingzhong;Peng Xicheng;Chen Mao*陈矛
通讯作者:
Chen Mao(陈矛
作者机构:
[Chen Mao; Peng Xicheng; Zhang Jingzhong] Cent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R China.
[Zhang Jingzhong] Guangzhou Univ, Inst Computat Sci & Technol, Guangzhou 510006, Guangdong, Peoples R China.
[Zhang Jingzhong] Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing 610041, Peoples R China.
通讯机构:
[Chen Mao] C
Cent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan 430079, Hubei, Peoples R China.
语种:
英文
关键词:
Geometry algebra;point geometry;proof method based on identical equations;vector geometry;Wu's method
期刊:
系统科学与复杂性(英文版)
ISSN:
1009-6124
年:
2019
卷:
32
期:
1
页码:
78-94
基金类别:
supported in part by the National Key Research and Development Program of China under Grant No.2017YFB1401302; the National Natural Science Foundation of China under Grant No.41671377;
机构署名:
本校为第一且通讯机构
院系归属:
国家数字化学习工程技术研究中心
摘要:
The algebraic methods represented by Wu's method have made significant breakthroughs in the field of geometric theorem proving. Algebraic proofs usually involve large amounts of calculations, thus making it difficult to understand intuitively. However, if the authors look at Wu's method from the perspective of identity,Wu's method can be understood easily and can be used to generate new geometric propositions. To make geometric reasoning simpler, more expressive, and richer in geometric meaning, the authors establish a geometric algebraic system (point geometry built on nearly 20 basic propert...

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