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Formalization of the Lindemann-Weierstrass Theorem
[chapter]
2017
Lecture Notes in Computer Science
This article details a formalization in Coq of the Lindemann-Weierstrass theorem which gives a transcendence criterion for complex numbers: this theorem establishes a link between the linear independence of a set of algebraic numbers and the algebraic independence of the exponentials of these numbers. As we follow Baker's proof, we discuss the difficulties of its formalization and explain how we resolved them in Coq. Most of these difficulties revolve around multivariate polynomials and their
doi:10.1007/978-3-319-66107-0_5
fatcat:li47qqjnkza5fbybekelq4cw6a