Verified reductions for optimization
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Publication:6424103
arXiv2301.09347MaRDI QIDQ6424103
Author name not available (Why is that?)
Publication date: 23 January 2023
Abstract: Numerical and symbolic methods for optimization are used extensively in engineering, industry, and finance. Various methods are used to reduce problems of interest to ones that are amenable to solution by such software. We develop a framework for designing and applying such reductions, using the Lean programming language and interactive proof assistant. Formal verification makes the process more reliable, and the availability of an interactive framework and ambient mathematical library provides a robust environment for constructing the reductions and reasoning about them.
Has companion code repository: https://github.com/verified-optimization/cvxlean
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