PROVING GEOMETRY STATEMENTS OF CONSTRUCTIVE TYPE
文献类型:期刊论文
作者 | CHOU, SC; GAO, XS |
刊名 | LECTURE NOTES IN ARTIFICIAL INTELLIGENCE
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出版日期 | 1992 |
卷号 | 607页码:20-34 |
关键词 | GEOMETRY THEOREM PROVING WU METHOD NONDEGENERATE CONDITION GENERALLY TRUE CONSTRUCTIVE GEOMETRY STATEMENT EUCLIDEAN GEOMETRY METRIC GEOMETRY ALGEBRAICALLY CLOSED FIELD |
英文摘要 | This paper presents a method to generate non-degenerate conditions in geometric form for a class of geometry statements of constructive type, called Class C. We prove a mathematical theorem that in the irreducible case, the non-degenerate conditions generated by our method are sufficient for a geometry statement in Class C to be valid in metric geometry. About 400 among 600 theorems proved by our computer program are in Class C. |
WOS研究方向 | Computer Science |
语种 | 英语 |
WOS记录号 | WOS:A1992KV19500004 |
出版者 | SPRINGER VERLAG |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/27688] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | CHOU, SC |
作者单位 | CHINESE ACAD SCI,INST SYST SCI,BEIJING,PEOPLES R CHINA |
推荐引用方式 GB/T 7714 | CHOU, SC,GAO, XS. PROVING GEOMETRY STATEMENTS OF CONSTRUCTIVE TYPE[J]. LECTURE NOTES IN ARTIFICIAL INTELLIGENCE,1992,607:20-34. |
APA | CHOU, SC,&GAO, XS.(1992).PROVING GEOMETRY STATEMENTS OF CONSTRUCTIVE TYPE.LECTURE NOTES IN ARTIFICIAL INTELLIGENCE,607,20-34. |
MLA | CHOU, SC,et al."PROVING GEOMETRY STATEMENTS OF CONSTRUCTIVE TYPE".LECTURE NOTES IN ARTIFICIAL INTELLIGENCE 607(1992):20-34. |
入库方式: OAI收割
来源:数学与系统科学研究院
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