MathLang Translation to Isabelle Syntax

Authors:
Robert Lamar;Fairouz Kamareddine;J. B. Wells
Affiliations:
ULTRA Group, Heriot-Watt University,;ULTRA Group, Heriot-Watt University,;ULTRA Group, Heriot-Watt University,
Venue:
Calculemus '09/MKM '09 Proceedings of the 16th Symposium, 8th International Conference. Held as Part of CICM '09 on Intelligent Computer Mathematics
Year:
2009

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Abstract

Converting mathematical documents from a human-friendly natural language to a form that can be readily processed by computers is often a tedious, manual task. Translating between varied computerised forms is also a difficult problem. MathLang, a system of methods and representations for computerising mathematics, tries to make these tasks more tractable by breaking the translation down into manageable portions. This paper presents a method for creating rules to translate documents from MathLang's internal representation of mathematics to documents in the language of the Isabelle proof assistant. It includes a set of example rules applicable for a particular document. The resulting documents are not completely verifiable by Isabelle, but they represent a point to which a mathematician may take a document without the involvement of an Isabelle expert.