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Automated Reducible Geometric Theorem Proving and Discovery by Grobner Basis Method 期刊论文
JOURNAL OF AUTOMATED REASONING, 2017, 卷号: 59, 期号: 3, 页码: 331-344
作者:  Zhou, Jie;  Wang, Dingkang;  Sun, Yao
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Zero divisor  True on components  Grobner basis  Geometric theorem proving  Geometric theorem discovery  
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：77/0  |  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：84/0  |  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  
A characteristic set method for ordinary difference polynomial systems 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2009, 卷号: 44, 期号: 3, 页码: 242-260
作者:  Gao, Xiao-Shan;  Luo, Yong;  Yuan, Chunming
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Difference polynomial  Ascending chain  Characteristic set  Coherence  Irreducibility  Zero decomposition theorem  Automated theorem proving  
Proving geometric theorems by partitioned-parametric Grobner bases 期刊论文
AUTOMATED DEDUCTION IN GEOMETRY, 2006, 卷号: 3763, 页码: 34-43
作者:  Chen, XF;  Li, P;  Lin, L;  Wang, DK
收藏  |  浏览/下载：65/0  |  提交时间：2018/07/30
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：83/0  |  提交时间：2018/07/30
Cayley algebra  bracket algebra  automated theorem proving  projective geometry  affine geometry  conics  
The projection of quasi variety and its application on geometric theorem proving and formula deduction 期刊论文
AUTOMATED DEDUCTION IN GEOMETRY, 2004, 卷号: 2930, 页码: 21-30
作者:  Chen, XF;  Wang, DK
收藏  |  浏览/下载：78/0  |  提交时间：2018/07/30
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：82/0  |  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：85/0  |  提交时间：2018/07/30
Cayley algebra  bracket algebra  automated theorem proving  projective incidence geometry