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Formalization of the arithmetization of Euclidean plane geometry and applications
2019
Journal of symbolic computation
This paper describes the formalization of the arithmetization of Euclidean plane geometry in the Coq proof assistant. As a basis for this work, Tarski's system of geometry was chosen for its well-known metamathematical properties. This work completes our formalization of the two-dimensional results contained in part one of the book by Schwabhäuser Szmielew and Tarski Metamathematische Methoden in der Geometrie. We defined the arithmetic operations geometrically and proved that they verify the
doi:10.1016/j.jsc.2018.04.007
fatcat:7lxvzb4akrbnblfsd4nrgpwjrm