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UniMath - its present and its future.

Presented by: 
Vladimir Voevodsky
Date: 
Monday 10th July 2017 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 
UniMath refers to several things. It is a
univalent foundation of mathematics. It is the subset of Coq in which this
foundation is currently implemented and it is a library of formalized
mathematics written using this implementation. My talk will be mostly about the
library. I will give examples of problems whose constructions have been
recently formalized in the UniMath as study problems by graduate students. I
will give an example of a more complex problem whose construction has been
recently formalized as a part of a paper accepted to a conference proceedings.
Finally, I will outline a direction for the future development of the UniMath
that requires constructions to considerably more complex problems that can only
be stated in the univalent type theory and, as far as I know, have never been
solved either formally or informally.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons