Weyl's Predicative Classical Mathematics as a Logic-Enriched Type Theory release_cxy6cksltrbwddzdd3aqs7qd34

by Robin Adams, Zhaohui Luo

Released as a article .

2009  

Abstract

We construct a logic-enriched type theory LTTW that corresponds closely to the predicative system of foundations presented by Hermann Weyl in Das Kontinuum. We formalise many results from that book in LTTW, 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 non-constructive foundation for mathematics.
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Type  article
Stage   accepted
Date   2009-01-15
Version   v3
Language   en ?
arXiv  0809.2061v3
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