Unifying Math Ontologies: A tale of two standards

James H Davenport; Michael Kohlhase

doi:10.1007/978-3-642-02614-0_23

Unifying Math Ontologies: A tale of two standards

James H Davenport, Michael Kohlhase

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

5 Citations (SciVal)

345 Downloads (Pure)

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.

Original language	English
Title of host publication	Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009
Editors	J Carette, L Dixon, C Sacerdoti Coen, S M Watt
Place of Publication	Berlin
Publisher	Springer
Pages	263-278
Number of pages	16
Volume	5625/2
ISBN (Print)	978-3-642-02613-3
DOIs	https://doi.org/10.1007/978-3-642-02614-0_23
Publication status	Published - 2009
Event	8th International Conference on Mathematical Knowledge Management (MKM 2009) - Grand Bend, Ontario, Canada Duration: 10 Jul 2009 → 12 Jul 2009

Conference

Conference	8th International Conference on Mathematical Knowledge Management (MKM 2009)
Country/Territory	Canada
City	Grand Bend, Ontario
Period	10/07/09 → 12/07/09

Bibliographical note

Proceedings 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

Access to Document

10.1007/978-3-642-02614-0_23

MKM2009v2.pdf
The original publication is available at www.springerlink.com

Cite this

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 or section in a book/report/conference proceeding › Chapter or section

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

@inbook{5047bb8d19e242d19ca16fa6fa86db75,

title = "Unifying Math Ontologies: A tale of two standards",

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.",

author = "Davenport, {James H} and Michael Kohlhase",

note = "Proceedings 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; 8th International Conference on Mathematical Knowledge Management (MKM 2009) ; Conference date: 10-07-2009 Through 12-07-2009",

year = "2009",

doi = "10.1007/978-3-642-02614-0_23",

language = "English",

isbn = "978-3-642-02613-3",

volume = "5625/2",

pages = "263--278",

editor = "J Carette and L Dixon and {Sacerdoti Coen}, C and Watt, {S M}",

booktitle = "Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009",

publisher = "Springer",

}

TY - CHAP

T1 - Unifying Math Ontologies: A tale of two standards

AU - Davenport, James H

AU - Kohlhase, Michael

N1 - Proceedings 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

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://dx.doi.org/10.1007/978-3-642-02614-0_23

U2 - 10.1007/978-3-642-02614-0_23

DO - 10.1007/978-3-642-02614-0_23

M3 - Chapter or section

SN - 978-3-642-02613-3

VL - 5625/2

SP - 263

EP - 278

BT - Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009

A2 - Carette, J

A2 - Dixon, L

A2 - Sacerdoti Coen, C

A2 - Watt, S M

PB - Springer

CY - Berlin

T2 - 8th International Conference on Mathematical Knowledge Management (MKM 2009)

Y2 - 10 July 2009 through 12 July 2009

ER -

Unifying Math Ontologies: A tale of two standards

Abstract

Conference

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this