Skip to main content

System Description: GCLCprover + GeoThms

  • Conference paper
Automated Reasoning (IJCAR 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4130))

Included in the following conference series:

Abstract

Dynamic geometry tools (e.g., Cinderella, Geometer’s Sketchpad, Cabri, Eukleides) visualise geometric objects, allow interactive work, and link formal, axiomatic nature of geometry (most often — Euclidean) with its standard models (e.g., Cartesian model) and corresponding illustrations. These tools are used in teaching and studying geometry, some of them also for producing digital illustrations. The common experience is that dynamic geometry tools significantly help students to acquire knowledge about geometric objects. However, despite the fact that geometry is an axiomatic theory, most (if not all) of these tools concentrate only on concrete models of some geometric constructions and not on their abstract properties — their properties in deductive terms. The user can vary some initial objects and parameters and test if some property holds in all checked cases, but this still does not mean that the given property is valid.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chou, S.-C., Gao, X.-S., Zhang, J.-Z.: Automated production of traditional proofs for constructive geometry theorems. In: Proceedings LICS, June 1993, pp. 48–56. IEEE Computer Society Press, Los Alamitos (1993)

    Google Scholar 

  2. Chou, S.-C., Gao, X.-S., Zhang, J.-Z.: Automated generation of readable proofs with geometric invariants. I. JAR 17, 325–347 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  3. Djorić, M., Janičić, P.: Constructions, instructions, interactions. Teaching Mathematics and its Applications 23(2), 69–88 (2004)

    Article  Google Scholar 

  4. Janičić, P., Trajković, I.: Wingclc — a workbench for formally describing figures. In: Proceedings of SCCG 2003, ACM Press, USA (2003)

    Google Scholar 

  5. Matsuda, N., van Lehn, K.: Gramy: A geometry theorem prover capable of construction. JAR (32), 3–33 (2004)

    Article  Google Scholar 

  6. Narboux, J.: A decision procedure for geometry in coq. In: Slind, K., Bunker, A., Gopalakrishnan, G.C. (eds.) TPHOLs 2004. LNCS, vol. 3223, Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  7. Obrecht, C.: Eukleides, http://www.eukleides.org/

  8. Quaresma, P., Janičić, P.: Framework for Constructive Geometry (based on the area method). CISUC Technical Report 2006/001 (2006)

    Google Scholar 

  9. Quaresma, P., Pereira, A.: Visualização de construções geométricas. Gazeta de Matemática (151) (July 2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Janičić, P., Quaresma, P. (2006). System Description: GCLCprover + GeoThms. In: Furbach, U., Shankar, N. (eds) Automated Reasoning. IJCAR 2006. Lecture Notes in Computer Science(), vol 4130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11814771_13

Download citation

  • DOI: https://doi.org/10.1007/11814771_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37187-8

  • Online ISBN: 978-3-540-37188-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics