Proof Development with Ωmega: The Irrationality of \(\sqrt 2\)

Proof Development with Ωmega: The Irrationality of \(\sqrt 2\)
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Ωmega 的证明开发:(sqrt 2) 的非理性

DOI:
10.1007/978-94-017-0253-9_11
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发表时间:
2003
期刊:
Automated Reasoning
影响因子:
--
通讯作者:
Martin Pollet
Martin Pollet
中科院分区:
--
文献类型:
--
作者:
J. Siekmann;Christoph Benzmüller;Armin Fiedler;A. Meier;I. Normann;Martin Pollet

文献摘要

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众所周知的定理认为\(\ sqrt 2 \)的非理性性是作为一个案例研究,以比较15个(互动)定理证明系统[Wiedijk,2002]。这代表了自动扣除领域中重点的重要转变,从过去的人造问题转向了真正的数学挑战。
The well-known theorem asserting the irrationality of \(\sqrt 2\) was proposed as a case study for a comparison of fifteen (interactive) theorem proving systems [Wiedijk, 2002]. This represents an important shift of emphasis in the field of automated deduction away from the somehow artificial problems of the past back to real mathematical challenges.