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A query language for formal mathematical libraries. (English) Zbl 1359.68272
Jeuring, Johan (ed.) et al., Intelligent computer mathematics. 11th international conference, AISC 2012, 19th symposium, Calculemus 2012, 5th international workshop, DML 2012, 11th international conference, MKM 2012, systems and projects, held as part of CICM 2012, Bremen, Germany, July 8–13, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-31373-8/pbk). Lecture Notes in Computer Science 7362. Lecture Notes in Artificial Intelligence, 143-158 (2012).
Summary: One of the most promising applications of mathematical knowledge management is search: Even if we restrict attention to the tiny fragment of mathematics that has been formalized, the amount exceeds the comprehension of an individual human.
Based on the generic representation language MMT, we introduce the mathematical query language QMT: It combines simplicity, expressivity, and scalability while avoiding a commitment to a particular logical formalism. QMT can integrate various search paradigms such as unification, semantic web, or XQuery style queries, and QMT queries can span different mathematical libraries.
We have implemented QMT as a part of the MMT API. This combination provides a scalable indexing and query engine that can be readily applied to any library of mathematical knowledge. While our focus here is on libraries that are available in a content markup language, QMT naturally extends to presentation and narration markup languages.
For the entire collection see [Zbl 1245.68013].

MSC:
68T30 Knowledge representation
68P20 Information storage and retrieval of data
68U35 Computing methodologies for information systems (hypertext navigation, interfaces, decision support, etc.)
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