Affiliation:
1. Royal Holloway, University of London
Abstract
We construct a logic-enriched type theory LTT
W
that corresponds closely to the predicative system of foundations presented by Hermann Weyl in
Das Kontinuum
. We formalize many results from that book in LTT
W
, including Weyl's definition of the cardinality of a set and several results from real analysis, using the proof assistant Plastic that implements the logical framework LF. This case study shows how type theory can be used to represent a nonconstructive foundation for mathematics.
Funder
EY-TYPES
Leverhulme Trust
Engineering and Physical Sciences Research Council
Publisher
Association for Computing Machinery (ACM)
Subject
Computational Mathematics,Logic,General Computer Science,Theoretical Computer Science
Cited by
8 articles.
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