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Automated reasoning tools in GeoGebra discovery

Published: 20 October 2021 Publication History

Abstract

We present some current achievements in the software package GeoGebra Discovery that provides several symbolic tools and commands to mechanically discover (and verify symbolically) relationships on planar geometry constructions. Our presentation includes the novel Discover tool and command, the Relation tool and command, and the Compare command. Our proposal successfully makes the cycle 'conjecturing-checking-proving' in elementary geometry even more accessible for general users, focusing not only on educational uses but research as well.

References

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M. Abánades, F. Botana, Z. Kovács, T. Recio, and C. Sólyom-Gecse. Development of automatic reasoning tools in GeoGebra. ACM Commun. Comput. Algebra, 50(3):85--88, 11 2016.
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F. Botana, M. Hohenwarter, P. Janičić, Z. Kovács, I. Petrović, T. Recio, and S. Weitzhofer. Automated theorem proving in GeoGebra: Current achievements. Journal of Automated Reasoning, 55(1):39--59, 2015.
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F. Botana, Z. Kovács, and T. Recio. A mechanical geometer. Mathematics in Computer Science, 2020.
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S.-C. Chou. Mechanical Geometry Theorem Proving. Springer Science + Business Media, 1987.
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Z. Kovács. The Relation Tool in GeoGebra 5. In F. Botana and P. Quaresma, editors, Automated Deduction in Geometry: 10th International Workshop, ADG 2014, Coimbra, Portugal, July 9-11, 2014, Revised Selected Papers, pages 53--71. Springer International Publishing, Cham, 2015.
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Z. Kovács. Discovering geometry via the Discover command in GeoGebra Discovery. Revista de Matemática, Ensino e Cultura - REMATEC, Belém/PA, 16(37):14--25, 01 2021.
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Published In

cover image ACM Communications in Computer Algebra
ACM Communications in Computer Algebra  Volume 55, Issue 2
June 2021
38 pages
ISSN:1932-2240
DOI:10.1145/3493492
Issue’s Table of Contents
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 20 October 2021
Published in SIGSAM-CCA Volume 55, Issue 2

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Cited By

View all
  • (2024)The Locus Story of a Rocking Camel in a Medical Center in the City of FreistadtElectronic Proceedings in Theoretical Computer Science10.4204/EPTCS.398.16398(132-141)Online publication date: 22-Jan-2024
  • (2024)Considerations on Approaches and Metrics in Automated Theorem Generation/Finding in GeometryElectronic Proceedings in Theoretical Computer Science10.4204/EPTCS.398.12398(85-100)Online publication date: 22-Jan-2024
  • (2024)Geometric Loci and ChatGPT: Caveat Emptor!Computation10.3390/computation1202003012:2(30)Online publication date: 7-Feb-2024
  • (2024)Computing with Tarski formulas and semi-algebraic sets in a web browserJournal of Symbolic Computation10.1016/j.jsc.2023.102235120:COnline publication date: 1-Jan-2024
  • (2023)Faithful Real-Time Animation of Parametrized (Semi-) Algebraic Expressions via Cylindrical Algebraic DecompositionACM Communications in Computer Algebra10.1145/3614408.361441357:2(43-46)Online publication date: 7-Aug-2023
  • (2023)Some Reflections About the Success and Bibliographic Impact of the Dynamic Geometry System GeoGebraMathematics in Computer Science10.1007/s11786-023-00564-917:2Online publication date: 29-May-2023

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