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Mechanical Theorem Proving in Tarski's geometry.

Julien Narboux 1, 2
2 LOGICAL - Logic and computing
UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8623
Abstract : This paper describes the mechanization of the proofs of the first height chapters of Schwabäuser, Szmielew and Tarski's book: Metamathematische Methoden in der Geometrie. The goal of this development is to provide foundations for other formalizations of geometry and implementations of decision procedures. We compare the mechanized proofs with the informal proofs. We also compare this piece of formalization with the previous work done about Hilbert's Gründlagen der Geometrie. We analyze the differences between the two axiom systems from the formalization point of view.
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https://hal.inria.fr/inria-00118812
Contributor : Julien Narboux <>
Submitted on : Wednesday, December 6, 2006 - 3:23:38 PM
Last modification on : Wednesday, September 16, 2020 - 4:52:18 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 11:56:01 PM

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Julien Narboux. Mechanical Theorem Proving in Tarski's geometry.. Automated Deduction in Geometry 2006, Francisco Botana, Aug 2006, Pontevedra, Spain. pp.139-156, ⟨10.1007/978-3-540-77356-6⟩. ⟨inria-00118812⟩

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