First steps on using OpenMath to add proving capabilities to standard dynamic geometry systems

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Abánades, Miguel A. and Escribano Martínez, Jesús and Botana, Francisco (2007) First steps on using OpenMath to add proving capabilities to standard dynamic geometry systems. In Towards Mechanized Mathematical Assistants. Lecture Notes in Computer Science (4573). Springer, pp. 131-145. ISBN 978-3-540-73083-5

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Official URL: http://link.springer.com/chapter/10.1007/978-3-540-73086-6_13




Abstract

A prototype for a web application designed to symbolically process locus, proof and discovery tasks on geometric diagrams created with the commercial dynamic geometry systems Cabri, The Geometer’s Sketchpad and Cinderella is presented. The application, named LAD (acronym for Locus-Assertion-Discovery) and thought of as a remote add-on for the considered DGS, follows the Groebner basis method relying on CoCoA and a Mathematica kernel for the involved symbolic computations. From the DGS internal textual representation of a geometric diagram, an OpenMath (i.e. semantic based) description of the requested task is created using the elements in the plangeo OpenMath content dictionaries. A review of the elements included in these CDs is given and two new elements proposed, namely locus and discovery. Everything is finally thoroughly illustrated with examples. LAD is freely accessible at http://nash.sip.ucm.es/LAD/LAD.html .


Item Type:Book Section
Additional Information:

14th Symposium, Calculemus 2007, 6th International Conference, MKM 2007, Hagenberg, Austria, June 27-30, 2007. Proceedings

Uncontrolled Keywords:Dynamic geometry systems; OpenMath
Subjects:Sciences > Computer science
ID Code:24252
Deposited On:16 Jan 2014 11:46
Last Modified:02 Aug 2018 07:29

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