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Dr.Doodle: A Diagrammatic Theorem Prover

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3097))

Abstract

This paper presents the Dr.Doodle system, an interactive theorem prover that uses diagrammatic representations. The assumption underlying this project is that, for some domains (principally geometry), diagrammatic reasoning is easier to understand than conventional algebraic approaches – at least for a significant number of people. The Dr.Doodle system was developed for the domain of metric-space analysis (a geometric domain, but traditionally taught using a dry algebraic formalism). Pilot experiments were conducted to evaluate its potential as the basis of an educational tool, with encouraging results.

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References

  1. Barwise, J., Etchemendy, J.: Heterogeneous Logic. In: Diagrammatic Reasoning: Cognitive and Computational Perspectives, AAAI Press/MIT Press (1995)

    Google Scholar 

  2. Flower, J., Stapleton, G.: Automated Theorem Proving with Spider Diagrams. In: Computing: the Australasian Theory Symposium, CATS (2004)

    Google Scholar 

  3. Jamnik, M.: Mathematical Reasoning with Diagrams. CSLI Press (2001)

    Google Scholar 

  4. Kortenkamp, U., Richter-Gebert, J.: The Next Version of Cinderella. In: First International Congress Of Mathematical Software, World Scientific, Singapore (2002)

    Google Scholar 

  5. Maxwell, E.: Fallacies in Mathematics. Cambridge University Press, Cambridge (1959)

    Book  MATH  Google Scholar 

  6. Oberlander, J., Cox, R., Stenning, K.: Proof styles in multimodal reasoning. In: Logic, Language and Computation, CSLI Press (1996)

    Google Scholar 

  7. Shimojima, A.: Operational Constraints in Diagrammatic Reasoning. Logical Reasoning with Diagrams, OUP (1996)

    Google Scholar 

  8. Winterstein, D., Bundy, A., Gurr, C., Jamnik, M.: Using Animation in Diagrammatic Theorem Proving. In: Diagrams 2002, Springer, Heidelberg (2002)

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  9. Winterstein, D., Bundy, A., Gurr, C., Jamnik, M.: An Experimental Comparison of Diagrammatic and Algebraic Logics. In: Diagrams 2004, Springer, Heidelberg (2004)

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© 2004 Springer-Verlag Berlin Heidelberg

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Winterstein, D., Bundy, A., Gurr, C. (2004). Dr.Doodle: A Diagrammatic Theorem Prover. In: Basin, D., Rusinowitch, M. (eds) Automated Reasoning. IJCAR 2004. Lecture Notes in Computer Science(), vol 3097. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25984-8_24

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  • DOI: https://doi.org/10.1007/978-3-540-25984-8_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22345-0

  • Online ISBN: 978-3-540-25984-8

  • eBook Packages: Springer Book Archive

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