Quantifiers and Big Operators in OpenMath

The effort to align MathML 3 and OpenMath has led to a realisation that (pragmatic) MathML’s condition and domainofapplication elements, when used with quantifiers, do not have a neat expression in OpenMath. This paper analyzes the situation focusing on quantifiers and proposes a solution, via six new symbols. Two of them fit completely within the existing OpenMath structure, and we place them in the associated quant3 CD. The others require a generalization of OMBIND. We also propose, logically separately but in the same area, a quant2 CD with existsuniquely, commonly written ∃!, and the ‘fusion’ symbol existsuniquelyin. In a second step we generalize the solution to the phenomenon of big operators that MathML 2 implicitly provides but which do not have a direct counterpart in the OpenMath CDs.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Translate to english
Revision history
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,803
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Definite Descriptions and Quantifier Scope: Some Mates Cases Reconsidered.Michael Glanzberg - 2007 - European Journal of Analytic Philosophy 3 (2):133-158.
Subtractability and Concreteness.Ross P. Cameron - 2007 - Philosophical Quarterly 57 (227):273 - 279.
Added to PP index

Total downloads
62 ( #87,895 of 2,202,776 )

Recent downloads (6 months)
1 ( #301,722 of 2,202,776 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature