A combination of a dynamic geometry software with a proof assistant for interactive formal proofs

Tuan Minh Pham 1 Yves Bertot 1
1 MARELLE - Mathematical, Reasoning and Software
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : This paper presents an interface for geometry proving. It is a combination of a dynamic geometry software - Geogebra[11] with a proof assistant - Coq[8]. Thanks to the features of Geogebra, users can create and manipulate geometric constructions, they discover conjectures and interactively build formal proofs with the support of Coq. Our system allows users to construct fully traditional proofs in the same style as the ones in high school. For each step of proving, we provide a set of applicable rules veri ed in Coq for users, we also provide tactics in Coq by which minor steps of reasoning are solved automatically.
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Submitted on : Tuesday, April 12, 2011 - 5:21:43 PM
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Tuan Minh Pham, Yves Bertot. A combination of a dynamic geometry software with a proof assistant for interactive formal proofs. 9th International Workshop On User Interfaces for Theorem Provers FLOC'10 Satellite Workshop, Jul 2010, Edinburgh, Scotland, United Kingdom. ⟨inria-00585400⟩

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