Unifying Math Ontologies: A tale of two standards


Davenport, J. H. and Kohlhase, M., 2009. Unifying Math Ontologies: A tale of two standards. In: Carette, J., Dixon, L., Sacerdoti Coen, C. and Watt, S. M., eds. 8th International Conference on Mathematical Knowledge Management (MKM 2009), 2009-07-10 - 2009-07-12, Grand Bend, Ontario. Berlin: Springer, pp. 263-278.

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    One of the fundamental and seemingly simple aims of mathematical knowledge management (MKM) is to develop and standardize formats that allow to “represent the meaning of the objects of mathematics”. The open formats OpenMath and MathML address this, but differ subtly in syntax, rigor, and structural viewpoints (notably over calculus). To avoid fragmentation and smooth out interoperability obstacles, effort is under way to align them into a joint format OpenMath/MathML 3. We illustrate the issues that come up in such an alignment by looking at three main areas: bound variables and conditions, calculus (which relates to the previous) and “lifted” n-ary operators.


    Item Type Conference or Workshop Items (UNSPECIFIED)
    CreatorsDavenport, J. H.and Kohlhase, M.
    EditorsCarette, J., Dixon, L., Sacerdoti Coen, C. and Watt, S. M.
    DepartmentsFaculty of Science > Computer Science
    Publisher StatementMKM2009v2.pdf: The original publication is available at
    ID Code13079
    Additional InformationProceedings of the 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009, Held as Part of CICM 2009, Grand Bend, Canada, July 6-12, 2009 ID number: 5625/2009


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