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Automated reasoning and exhaustive search: Quasigroup existence problems
J. Slaney; M. Fujita; M. Stickel
1995
发表期刊Computers & Mathematics with Applications
卷号29期号:2页码:115-132
摘要This is a report of research carried out during 1992 and 1993 in which three different automated reasoning programs—DDPP, FINDER, and MGTP—were applied to a series of exhaustive search problems in the theory of quasigroups. All three of the programs succeeded in solving previously open problems concerning the existence of quasigroups satisfying certain additional conditions. Using different programs has allowed us to cross-check the results, helping reliability. We find this research interesting from several points of view: first, it brings techniques from the field of automated reasoning to bear on a rather different problem domain from that which motivated their development; second, investigating such hard problems leads us to push the limits of what our systems have achieved; and finally, it involves us in serious philosophical issues concerning essentially computational proofs.
收录类别其他
合作性质其它
关键词Quasigroups Exhaustive Search Consistent Labeling Automated Reasoning Programs
语种英语
内容类型期刊论文
URI标识http://ir.iscas.ac.cn/handle/311060/1314
专题中国科学院软件研究所
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GB/T 7714
J. Slaney,M. Fujita,M. Stickel. Automated reasoning and exhaustive search: Quasigroup existence problems[J]. Computers & Mathematics with Applications,1995,29(2):115-132.
APA J. Slaney,M. Fujita,&M. Stickel.(1995).Automated reasoning and exhaustive search: Quasigroup existence problems.Computers & Mathematics with Applications,29(2),115-132.
MLA J. Slaney,et al."Automated reasoning and exhaustive search: Quasigroup existence problems".Computers & Mathematics with Applications 29.2(1995):115-132.
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