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Towards MKM in the Large: Modular Representation and Scalable Software Architecture

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Intelligent Computer Mathematics (CICM 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6167))

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Abstract

MKM has been defined as the quest for technologies to manage mathematical knowledge. MKM “in the small” is well-studied, so the real problem is to scale up to large, highly interconnected corpora: “MKM in the large”. We contend that advances in two areas are needed to reach this goal. We need representation languages that support incremental processing of all primitive MKM operations, and we need software architectures and implementations that implement these operations scalably on large knowledge bases.

We present instances of both in this paper: the Mmt framework for modular theory-graphs that integrates meta-logical foundations, which forms the base of the next OMDoc version; and TNTBase, a versioned storage system for XML-based document formats. TNTBase becomes an Mmt database by instantiating it with special MKM operations for Mmt.

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Authors and Affiliations

  1. Computer Science, Jacobs University Bremen,  

    Michael Kohlhase, Florian Rabe & Vyacheslav Zholudev

Authors
  1. Michael Kohlhase
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  2. Florian Rabe
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  3. Vyacheslav Zholudev
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Editor information

Editors and Affiliations

  1. German Research Center for Artificial Intelligence Bremen, Germany

    Serge Autexier

  2. Karlsruhe Institute of Technology, Germany

    Jacques Calmet

  3. CEDRIC/CNAM, Paris, France

    David Delahaye

  4. American Mathematical Society, Ann Arbor, USA

    Patrick D. F. Ion

  5. INRIA Sophia-Antipolis, France

    Laurence Rideau

  6. École Nationale Supérieure d’Informatique pour l’industrie et l’Entreprise, Evry, France

    Renaud Rioboo

  7. School of Computer Science, Edgbaston, University of Birmingham, B15 2TT, Birmingham, UK

    Alan P. Sexton

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Kohlhase, M., Rabe, F., Zholudev, V. (2010). Towards MKM in the Large: Modular Representation and Scalable Software Architecture. In: Autexier, S., et al. Intelligent Computer Mathematics. CICM 2010. Lecture Notes in Computer Science(), vol 6167. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14128-7_32

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  • DOI: https://doi.org/10.1007/978-3-642-14128-7_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14127-0

  • Online ISBN: 978-3-642-14128-7

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