From Tarski to Hilbert - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2012

From Tarski to Hilbert

Gabriel Braun
  • Function : Correspondent author
  • PersonId : 938359

Connectez-vous pour contacter l'auteur
Julien Narboux


In this paper, we report on the formal proof that Hilbert's axiom system can be derived from Tarski's system. For this purpose we mechanized the proofs of the first twelve chapters of Schwabauser, Szmielew and Tarski's book: Metamathematische Methoden in der Geometrie. The proofs are checked formally within classical logic using the Coq proof assistant. The goal of this development is to provide clear foundations for other formalizations of geometry and implementations of decision procedures.
Fichier principal
Vignette du fichier
adg2012_braun_narboux_postproc.pdf (191.82 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00727117 , version 1 (03-09-2012)
hal-00727117 , version 2 (22-03-2013)



Gabriel Braun, Julien Narboux. From Tarski to Hilbert. Automated Deduction in Geometry 2012, Jacques Fleuriot, Sep 2012, Edinburgh, United Kingdom. pp.89-109, ⟨10.1007/978-3-642-40672-0_7⟩. ⟨hal-00727117v2⟩
474 View
1003 Download



Gmail Facebook X LinkedIn More