Abstract
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.
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Acknowledgement
Authors partially supported by the grant MTM2017-88796-P from the Spanish MINECO and the ERDF (European Regional Development Fund).
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Botana, F., Kovács, Z., Recio, T. (2018). Towards an Automated Geometer. In: Fleuriot, J., Wang, D., Calmet, J. (eds) Artificial Intelligence and Symbolic Computation. AISC 2018. Lecture Notes in Computer Science(), vol 11110. Springer, Cham. https://doi.org/10.1007/978-3-319-99957-9_15
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