Abstract
Mathematical Knowledge can be encoded by means of Open Mathematical Documents (OMDoc) to interface both Computer Algebra and Proof Assistant systems. In this paper, we show how a unique OMDoc structure can be used to dynamically generate, both a Graphical User Interface for a Computer Algebra system and a script for a Proof Assistant. So, the OMDoc format can be used for representing different aspects. This generic approach has been made concrete through a first prototype interfacing the Kenzo Computer Algebra system and the ACL2 Theorem Prover, both based on the Common Lisp programming language. An OMDoc repository has been developed allowing the user to customize the application in an easy way.
Partially supported by Universidad de La Rioja, project API08/08, and Ministerio de Educación y Ciencia, project MTM2006-06513.
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References
Andrés, M., Lambán, L., Rubio, J., Ruiz Reina, J.L.: Formalizing simplicial topology in ACL2. In: Proceedings Workshop ACL2, pp. 34–39. Austin University (2007)
Buswell, S., Caprotti, O., Carlisle, D.P., Dewar, M.C., Gaëtano, M., Kohlhase, M.: OpenMath Version 2.0 (2004), http://www.openmath.org/
Dousson, X., Sergeraert, F., Siret, Y.: The Kenzo program, Institut Fourier, Grenoble (1999), http://www-fourier.ujf-grenoble.fr/~sergerar/Kenzo/
Franz Inc. Allegro Common Lisp, http://www.franz.com
GAP - Groups, Algorithms, Programming - a System for Computational Discrete Algebra, http://www.gap-system.org/
Hanus, M., Kluß, C.: Declarative Programming of User Interfaces. In: PADL 2009. Lectures Notes in Computer Science, vol. 5418, pp. 16–30. Springer, Heidelberg (2009)
Hyatt, D., et al.: XML User Interface Language (XUL) 1.0, http://www.mozilla.org/projects/xul/
Heras, J., Pascual, V., Rubio, J.: Mediated Access to Symbolic Computation Systems. In: Autexier, S., Campbell, J., Rubio, J., Sorge, V., Suzuki, M., Wiedijk, F. (eds.) AISC 2008, Calculemus 2008, and MKM 2008. LNCS (LNAI), vol. 5144, pp. 446–461. Springer, Heidelberg (2008)
Heras, J., Pascual, V., Rubio, J.: Mediated Access to Symbolic Computation Systems: An OpenMath Approach (preprint)
Kaufmann, M., Manolios, P., Moore, J.: Computer-Aided Reasoning: An Approach. Kluwer Academic Press, Boston (2000)
Kohlhase, M.: OMDoc – An open markup format for mathematical documents [Version 1.2]. Springer, Heidelberg (2006)
May, J.P.: Simplicial objects in Algebraic Topology. Van Nostrand Mathematical Studies (11) (1967)
Romero, A., Ellis, G., Rubio, J.: Interoperating between Computer Algebra systems: computing homology of groups with Kenzo and GAP. In: Proceedings of ISSAC 2009 (to appear, 2009)
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Heras, J., Pascual, V., Rubio, J. (2009). Using Open Mathematical Documents to Interface Computer Algebra and Proof Assistant Systems. In: Carette, J., Dixon, L., Coen, C.S., Watt, S.M. (eds) Intelligent Computer Mathematics. CICM 2009. Lecture Notes in Computer Science(), vol 5625. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02614-0_37
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DOI: https://doi.org/10.1007/978-3-642-02614-0_37
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