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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:160/0  |  提交时间:2019/04/02
Comprehensive Grobner basis  comprehensive Grobner system  discovering geometric theorems mechanically  parametric polynomial system  quantifier elimination  
Speeding Up the GVW Algorithm via a Substituting Method 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 205-233
作者:  Li Ting;  Sun Yao;  Huang Zhenyu;  Wang Dingkang;  Lin Dongdai
收藏  |  浏览/下载:161/0  |  提交时间:2019/04/02
Grobner basis  GVW  signature-based algorithm  time-memory tradeoff  
On Implementing the Symbolic Preprocessing Function over Boolean Polynomial Rings in Grobner Basis Algorithms Using Linear Algebra 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2016, 卷号: 29, 期号: 3, 页码: 789-804
作者:  Sun Yao;  Huang Zhenyu;  Lin Dongdai;  Wang Dingkang
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Boolean polynomial rings  Grobner basis  implementation  linear algebra  
A new proof for the correctness of the F5 algorithm 期刊论文
中国科学:数学(英文版), 2013, 卷号: 56, 期号: 4, 页码: 745-756
作者:  Sun Yao;  Wang DingKang
收藏  |  浏览/下载:89/0  |  提交时间:2021/01/14
GROBNER BASES  Grobner basis  F5  F5B  correctness of F5  
Computing polynomial univariate representations of zero-dimensional ideals by Grobner basis 期刊论文
SCIENCE CHINA-MATHEMATICS, 2012, 卷号: 55, 期号: 6, 页码: 1293-1302
作者:  Ma XiaoDong;  Sun Yao;  Wang DingKang
收藏  |  浏览/下载:90/0  |  提交时间:2021/01/14
BASES  COMPUTATION  ALGORITHMS  RESULTANTS  RUR  PUR  zero-dimensional ideals  Grobner basis  
On computing Grobner bases in rings of differential operators 期刊论文
SCIENCE CHINA-MATHEMATICS, 2011, 卷号: 54, 期号: 6, 页码: 1077-1087
作者:  Ma XiaoDong;  Sun Yao;  Wang DingKang
收藏  |  浏览/下载:85/0  |  提交时间:2018/07/30
Grobner basis  rings of differential operators