Computer theorem proving in mathematics

被引:5
作者
Simpson, C [1 ]
机构
[1] Univ Nice, CNRS, Lab JA Dieudonne, F-06108 Nice 2, France
关键词
lambda calculus; type theory; theorem proving; verification; set theory;
D O I
10.1007/s11005-004-0607-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We give an overview of issues surrounding computer-verified theorem proving in the standard pure-mathematical context. This includes the basic reasons why it should be interesting to pure mathematicians, some history, natural desiderata for a useful system, viewpoints on what kind of logic to use, a short explanation of how things work, an overview of different options for encoding sets, and perspectives on future developments.
引用
收藏
页码:287 / 315
页数:29
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