Abstract
This paper reports on refinements and extensions to the MathLang framework that add substantial support for natural language text. We show how the extended framework supports multiple views of mathematical texts, including natural language views using the exact text that the mathematician wants to use. Thus, MathLang now supports the ability to capture the essential mathematical structure of mathematics written using natural language text. We show examples of how arbitrary mathematical text can be encoded in MathLang without needing to change any of the words or symbols of the texts or their order. In particular, we show the encoding of a theorem and its proof that has been used by Wiedijk for comparing many theorem prover representations of mathematics, namely the irrationality of \(\sqrt{2}\) (originally due to Pythagoras). We encode a 1960 version by Hardy and Wright, and a more recent version by Barendregt.
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Kamareddine, F., Maarek, M., Wells, J.B. (2004). Flexible Encoding of Mathematics on the Computer. In: Asperti, A., Bancerek, G., Trybulec, A. (eds) Mathematical Knowledge Management. MKM 2004. Lecture Notes in Computer Science, vol 3119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27818-4_12
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DOI: https://doi.org/10.1007/978-3-540-27818-4_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23029-8
Online ISBN: 978-3-540-27818-4
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