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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
Authors:  Gao, Xiao-Shan;  Luo, Yong;  Yuan, Chunming
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Difference polynomial  Ascending chain  Characteristic set  Coherence  Irreducibility  Zero decomposition theorem  Automated theorem proving  
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
Authors:  Li, HB
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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
Authors:  Gao, XS;  Lin, Q
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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
Authors:  Li, HB;  Wu, YH
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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
Authors:  Li, HB;  Wu, YH
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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
Authors:  Chou, SC;  Gao, XS;  Zhang, JZ
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deductive database  automated geometry theorem proving and discovering  search strategies  redundant deduction  Skolemization  structured database