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Real Vector Spaces and the Cauchy-Schwarz Inequality in ACL2(r)

We present a mechanical proof of the Cauchy-Schwarz inequality in ACL2(r) and a formalisation of the necessary mathematics to undertake such a proof. This includes the formalisation of R^n as an inner product space. We also provide an application of Cauchy-Schwarz by formalising R^n as a metric spac...

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Hlavní autoři: Carl Kwan, Mark R. Greenstreet
Médium: Artigo
Jazyk:Inglês
Vydáno: Open Publishing Association 2018-10-01
Edice:Electronic Proceedings in Theoretical Computer Science
On-line přístup:http://arxiv.org/pdf/1810.04315v1
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