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Communication Dans Un Congrès Année : 2007

Mechanical Theorem Proving in Tarski's geometry.

Résumé

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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Dates et versions

inria-00118812 , version 1 (06-12-2006)

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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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