Towards an Automated Geometer
We report on preliminary work towards the automated finding of theorems in elementary geometry. The resulting system is being currently implemented on top of GeoGebra, a dynamic geometry system with millions of users at high schools and universities. Our system exploits GeoGebra’s recently added new functionalities concerning automated reasoning tools in geometry. We emphasize that the method for finding geometric properties that are present on a user-provided construction is purely symbolic, thus giving such properties rigorous mathematical certainty. We describe some generalities about the system we are developing, which are illustrated through an example.
KeywordsAutomated discovery Automated theorem proving Computer algebra GeoGebra
Authors partially supported by the grant MTM2017-88796-P from the Spanish MINECO and the ERDF (European Regional Development Fund).
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