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An experimental library of formalized Mathematics based on the univalent foundations

Published online by Cambridge University Press:  20 January 2015

VLADIMIR VOEVODSKY*
Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton, New Jersey, U.S.A. Email: vladimir@ias.edu
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This is a short overview of an experimental library of Mathematics formalized in the Coq proof assistant using the univalent interpretation of the underlying type theory of Coq. I started to work on this library in February 2010 in order to gain experience with formalization of Mathematics in a constructive type theory based on the intuition gained from the univalent models (see Kapulkin et al. 2012).

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References

Ahrens, B., Kapulkin, C. and Shulman, M. (2014) Univalent categories and the Rezk completion. Mathematical Structures in Computer Science http://dx.doi.org/10.1017/S0960129514000486.Google Scholar
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