From notation to semantics: there and back again

Authors:
Luca Padovani;Stefano Zacchiroli
Affiliations:
Information Science and Technology Institute, University of Urbino;Department of Computer Science, University of Bologna
Venue:
MKM'06 Proceedings of the 5th international conference on Mathematical Knowledge Management
Year:
2006

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Abstract

Mathematical notation is a structured, open, and ambiguous language. In order to support mathematical notation in MKM applications one must necessarily take into account presentational as well as semantic aspects. The former are required to create a familiar, comfortable, and usable interface to interact with. The latter are necessary in order to process the information meaningfully. In this paper we investigate a framework for dealing with mathematical notation in a meaningful, extensible way, and we show an effective instantiation of its architecture to the field of interactive theorem proving. The framework builds upon well-known concepts and widely-used technologies and it can be easily adopted by other MKM applications.