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Automatically Proving Plane Geometry Theorems Stated by Text and Diagram

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成果类型:
期刊论文
作者:
Gan, Wenbin*;Yu, Xinguo(余新国);Zhang, Ting;Wang, Mingshu
通讯作者:
Gan, Wenbin
作者机构:
[Yu, Xinguo; Gan, Wenbin; Zhang, Ting; Wang, Mingshu] Cent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan, Hubei, Peoples R China.
通讯机构:
[Gan, Wenbin] C
Cent China Normal Univ, Natl Engn Res Ctr E Learning, Wuhan, Hubei, Peoples R China.
语种:
英文
关键词:
Geometry theorem proving;theorem understanding;relation extraction;syntax–semantics model;diagram mining
期刊:
International Journal of Pattern Recognition and Artificial Intelligence
ISSN:
0218-0014
年:
2019
卷:
33
期:
7
页码:
1940003:1-1940003:26
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61802142]
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:
This paper presents an algorithm for proving plane geometry theorems stated by text and diagram in a complementary way. The problem of proving plane geometry theorems involves two challenging subtasks, being theorem understanding and theorem proving. This paper proposes to consider theorem understanding as a problem of extracting relations from text and diagram. A syntax-semantics (S2) model method is proposed to extract the geometric relations from theorem text, and a diagram mining method is proposed to extract geometry relations from diagram...

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