Skip to main content

P.rex: An Interactive Proof Explainer

  • Conference paper
  • First Online:

Part of the Lecture Notes in Computer Science book series (LNAI,volume 2083)

Abstract

This paper outlines the interactive proof explanation system P.rex , which adapts its explanation to the user and allows him anytime to utter questions or requests, to which it reacts flexibly. As a generic system, it can be connected to different theorem provers. The distribution is available via the P.rex home page at http://www.ags.uni-sb.de/~prex.

Keywords

  • Inference Rule
  • Theorem Prover
  • Declarative Memory
  • Current Goal
  • Interactive Proof

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Acknowledgments

The author wishes to thank Frank Pfenning and Carsten Schürmann for their help in the development and the implementation of TWEGA and Christian Lebiere for his help in the use of ACT-R.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/3-540-45744-5_33
  • Chapter length: 5 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   129.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-45744-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   169.00
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. John R. Anderson and Christian Lebiere. The Atomic Components of Thought. Lawrence Erlbaum, 1998.

    Google Scholar 

  2. C. Benzmüller, et al. Ωmega: Towards a mathematical assistant. In William McCune, ed., Proc. of the 14th Conference on Automated Deduction, number 1249 in LNAI, pages 252–255, Townsville, Australia, 1997. Springer Verlag.

    CrossRef  Google Scholar 

  3. Thierry Coquand and Gérard Huet. The Calculus of Constructions. Information and Computation, 76(2/3):95–120, 1988.

    MathSciNet  CrossRef  MATH  Google Scholar 

  4. Armin Fiedler. Using a cognitive architecture to plan dialogs for the adaptive explanation of proofs. In Thomas Dean, ed., Proc. of the 16th International Joint Conference on Artificial Intelligence (IJCAI), pages 358–363, Stockholm, Sweden, 1999. Morgan Kaufmann.

    Google Scholar 

  5. Armin Fiedler. Dialog-driven adaptation of explanations of proofs. In Proc. of the 17th International Joint Conference on Artificial Intelligence (IJCAI), Seattle, Washington, 2001. In press.

    Google Scholar 

  6. Armin Fiedler. User adaptive proof explanation. PhD thesis, University of the Saarland, Saarbrücken, Germany, 2001. In preparation.

    Google Scholar 

  7. Robert Harper, Furio Honsell, and Gordon Plotkin. A framework for defining logics. Journal of the Association for Computing Machinery, 40(1):143–184, 1993.

    MathSciNet  CrossRef  MATH  Google Scholar 

  8. Xiaorong Huang and Armin Fiedler. Proof verbalization as an application of NLG. In Martha E. Pollack, ed., Proc. of the 15th International Joint Conference on Artificial Intelligence (IJCAI), pages 965–970, Nagoya, Japan, 1997. Morgan Kaufmann.

    Google Scholar 

  9. Anne Kilger and Wolfgang Finkler. Incremental generation for realtime applications. Research Report RR-95-11, DFKI, Saarbrücken, Germany, July 1995.

    Google Scholar 

  10. Frank Pfenning and Carsten Schürmann. System description: Twelf — a metalogical framework for deductive systems. In Harald Ganzinger, ed., Proc. of the 16th Conference on Automated Deduction, number 1632 in LNAI, pages 202–206. Springer Verlag, 1999.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fiedler, A. (2001). P.rex: An Interactive Proof Explainer. In: Goré, R., Leitsch, A., Nipkow, T. (eds) Automated Reasoning. IJCAR 2001. Lecture Notes in Computer Science, vol 2083. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45744-5_33

Download citation

  • DOI: https://doi.org/10.1007/3-540-45744-5_33

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42254-9

  • Online ISBN: 978-3-540-45744-2

  • eBook Packages: Springer Book Archive

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.