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A Survey on Algorithms for Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 234-255
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载：162/0  |  提交时间：2019/04/02
Comprehensive Grobner basis  comprehensive Grobner system  discovering geometric theorems mechanically  parametric polynomial system  quantifier elimination  
asurveyonalgorithmsforcomputingcomprehensivegrobnersystemsandcomprehensivegrobnerbases 期刊论文
journalofsystemsscienceandcomplexity, 2019, 卷号: 32, 期号: 1, 页码: 234
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载：145/0  |  提交时间：2020/01/10
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：100/0  |  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 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  
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：66/0  |  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：85/0  |  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：80/0  |  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：84/0  |  提交时间：2018/07/30
bracket algebra  Cayley algebra  automated theorem proving  projective conic geometry