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Visually Dynamic Presentation of Proofs in Plane Geometry Part 1. Basic Features and the Manual Input Method 期刊论文
JOURNAL OF AUTOMATED REASONING, 2010, 卷号: 45, 期号: 3, 页码: 213-241
作者:  Ye, Zheng;  Chou, Shang-Ching;  Gao, Xiao-Shan
收藏  |  浏览/下载：79/0  |  提交时间：2018/07/30
Geometry theorem proving  Visually dynamic presentation of proof  Dynamic geometry  Unordered geometry  Gelernter  Java Geometry Expert  Morley's theorem  Feuerbach's theorem  Pythagorean theorem  Pedal triangle  
Visually Dynamic Presentation of Proofs in Plane Geometry Part 2. Automated Generation of Visually Dynamic Presentations with the Full-Angle Method and the Deductive Database Method 期刊论文
JOURNAL OF AUTOMATED REASONING, 2010, 卷号: 45, 期号: 3, 页码: 243-266
作者:  Ye, Zheng;  Chou, Shang-Ching;  Gao, Xiao-Shan
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
Geometry theorem proving  Proof with hierarchical structures  Visually dynamic presentation of proof  Dynamic geometry  Full-angle  Deductive database  Fixpoint  Unordered geometry  Hilbert geometry  Tarski geometry  
Affine bracket algebra theory and algorithms and their applications in mechanical theorem proving 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 卷号: 50, 期号: 7, 页码: 941-950
作者:  Zhang, Ning;  Li, Hong-bo
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
mechanical theorem proving  geometric invariance  bracket algebra  affine geometry  affine bracket algebra  
Algebraic representation, elimination and expansion in automated geometric theorem proving 期刊论文
AUTOMATED DEDUCTION IN GEOMETRY, 2004, 卷号: 2930, 页码: 106-123
作者:  Li, HB
收藏  |  浏览/下载：85/0  |  提交时间：2018/07/30
Cayley algebra  bracket algebra  automated theorem proving  projective geometry  affine geometry  conics  
MMP/geometer - A software package for automated geometric reasoning 期刊论文
AUTOMATED DEDUCTION IN GEOMETRY, 2004, 卷号: 2930, 页码: 44-66
作者:  Gao, XS;  Lin, Q
收藏  |  浏览/下载：82/0  |  提交时间：2018/07/30
geometry software  automated reasoning  geometric theorem proving  geometric theorem discovering  geometric diagram generation  intelligent dynamic geometry  
Automated short proof generation for projective geometric theorems with Cayley and bracket algebras - II. Conic geometry 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2003, 卷号: 36, 期号: 5, 页码: 763-809
作者:  Li, HB;  Wu, YH
收藏  |  浏览/下载：84/0  |  提交时间：2018/07/30
bracket algebra  Cayley algebra  automated theorem proving  projective conic geometry  
Automated short proof generation for projective geometric theorems with Cayley and bracket algebras - I. Incidence geometry 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2003, 卷号: 36, 期号: 5, 页码: 717-762
作者:  Li, HB;  Wu, YH
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
Cayley algebra  bracket algebra  automated theorem proving  projective incidence geometry  
A deductive database approach to automated geometry theorem proving and discovering 期刊论文
JOURNAL OF AUTOMATED REASONING, 2000, 卷号: 25, 期号: 3, 页码: 219-246
作者:  Chou, SC;  Gao, XS;  Zhang, JZ
收藏  |  浏览/下载：76/0  |  提交时间：2018/07/30
deductive database  automated geometry theorem proving and discovering  search strategies  redundant deduction  Skolemization  structured database  
PROVING GEOMETRY STATEMENTS OF CONSTRUCTIVE TYPE 期刊论文
LECTURE NOTES IN ARTIFICIAL INTELLIGENCE, 1992, 卷号: 607, 页码: 20-34
作者:  CHOU, SC;  GAO, XS
收藏  |  浏览/下载：70/0  |  提交时间：2018/07/30
GEOMETRY THEOREM PROVING  WU METHOD  NONDEGENERATE CONDITION  GENERALLY TRUE  CONSTRUCTIVE GEOMETRY STATEMENT  EUCLIDEAN GEOMETRY  METRIC GEOMETRY  ALGEBRAICALLY CLOSED FIELD