GCLC

We present GCLC/WinGCLC -- a tool for visualizing geometrical (and not only geometrical) objects and notions, for teaching/studying mathematics, and for producing mathematical illustrations of high quality. GCLC uses a language GC for declarative representation of figures and for storing mathematical contents of visual nature in textual form. In GCLC, there is a build-in geometrical theorem prover which directly links visual and semantical geometrical information with deductive properties and machine-generated proofs.


References in zbMATH (referenced in 21 articles , 1 standard article )

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  1. Boutry, Pierre; Braun, Gabriel; Narboux, Julien: Formalization of the arithmetization of Euclidean plane geometry and applications (2019)
  2. Quaresma, Pedro: Towards an intelligent and dynamic geometry book (2017)
  3. Schreck, Pascal; Marinković, Vesna; Janičić, Predrag: Constructibility classes for triangle location problems (2016)
  4. Botana, Francisco; Hohenwarter, Markus; Janičić, Predrag; Kovács, Zoltán; Petrović, Ivan; Recio, Tomás; Weitzhofer, Simon: Automated theorem proving in GeoGebra: current achievements (2015)
  5. Botana, Francisco; Kovács, Zoltán: A Singular web service for geometric computations (2015)
  6. Bulf, Caroline; Mathé, Anne-Cécile; Mithalal, Joris: Language and knowledge construction in a geometry problem-solving situation (2015) MathEduc
  7. Marinković, Vesna; Janičić, Predrag; Schreck, Pascal: Computer theorem proving for verifiable solving of geometric construction problems (2015)
  8. Quaresma, Pedro; Baeta, Nuno: Current status of the I2GATP common format (2015)
  9. Chen, Xiaoyu: Representation and automated transformation of geometric statements (2014)
  10. Chen, Xiaoyu; Wang, Dongming: Formalization and specification of geometric knowledge objects (2013)
  11. Janičić, Predrag; Narboux, Julien; Quaresma, Pedro: The area method. A recapitulation (2012)
  12. Kaliszyk, Cezary; Ida, Tetsuo: Proof assistant decision procedures for formalizing origami (2011)
  13. Quaresma, Pedro: Thousands of geometric problems for geometric theorem provers (TGTP) (2011)
  14. Chen, Xiaoyu: Electronic Geometry Textbook: a geometric textbook knowledge management system (2010)
  15. Janičić, Predrag: Geometry constructions language (2010)
  16. Janičić, Predrag; Quaresma, Pedro: Automatic verification of regular constructions in dynamic geometry systems (2007)
  17. Quaresma, Pedro; Janičić, Predrag: GeoThms -- a web system for Euclidean constructive geometry (2007)
  18. Iglesias, Andrés (ed.); Takayama, Nobuki (ed.): Mathematical software -- ICMS 2006. Second international congress on mathematical software, Castro Urdiales, Spain, September 1--3, 2006. Proceedings (2006)
  19. Janičić, Predrag: GCLC -- a tool for constructive Euclidean geometry and more than that (2006)
  20. Quaresma, Pedro; Janičić, Predrag: Integrating dynamic geometry software, deduction systems, and theorem repositories (2006)

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