Unifying Math Ontologies: A tale of two standards

James H Davenport, Michael Kohlhase

Research output: Chapter in Book/Report/Conference proceedingChapter

  • 4 Citations

Abstract

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.
LanguageEnglish
Title of host publicationIntelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009
EditorsJ Carette, L Dixon, C Sacerdoti Coen, S M Watt
Place of PublicationBerlin
PublisherSpringer
Pages263-278
Number of pages16
Volume5625/2
ISBN (Print)978-3-642-02613-3
DOIs
StatusPublished - 2009
Event8th International Conference on Mathematical Knowledge Management (MKM 2009) - Grand Bend, Ontario, Canada
Duration: 10 Jul 200912 Jul 2009

Conference

Conference8th International Conference on Mathematical Knowledge Management (MKM 2009)
CountryCanada
CityGrand Bend, Ontario
Period10/07/0912/07/09

Fingerprint

knowledge management
syntax
ontology
fragmentation
mathematics

Cite this

Davenport, J. H., & Kohlhase, M. (2009). Unifying Math Ontologies: A tale of two standards. In J. Carette, L. Dixon, C. Sacerdoti Coen, & S. M. Watt (Eds.), Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009 (Vol. 5625/2, pp. 263-278). Berlin: Springer. https://doi.org/10.1007/978-3-642-02614-0_23

Unifying Math Ontologies: A tale of two standards. / Davenport, James H; Kohlhase, Michael.

Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009. ed. / J Carette; L Dixon; C Sacerdoti Coen; S M Watt. Vol. 5625/2 Berlin : Springer, 2009. p. 263-278.

Research output: Chapter in Book/Report/Conference proceedingChapter

Davenport, JH & Kohlhase, M 2009, Unifying Math Ontologies: A tale of two standards. in J Carette, L Dixon, C Sacerdoti Coen & SM Watt (eds), Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009. vol. 5625/2, Springer, Berlin, pp. 263-278, 8th International Conference on Mathematical Knowledge Management (MKM 2009), Grand Bend, Ontario, Canada, 10/07/09. https://doi.org/10.1007/978-3-642-02614-0_23
Davenport JH, Kohlhase M. Unifying Math Ontologies: A tale of two standards. In Carette J, Dixon L, Sacerdoti Coen C, Watt SM, editors, Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009. Vol. 5625/2. Berlin: Springer. 2009. p. 263-278 https://doi.org/10.1007/978-3-642-02614-0_23
Davenport, James H ; Kohlhase, Michael. / Unifying Math Ontologies: A tale of two standards. Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009. editor / J Carette ; L Dixon ; C Sacerdoti Coen ; S M Watt. Vol. 5625/2 Berlin : Springer, 2009. pp. 263-278
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