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.
Original language | English |
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Article number | 11 |
Number of pages | 31 |
Journal | ACM Transactions on Computational Logic |
Volume | 11 |
Issue number | 2 |
Early online date | 17 Dec 2009 |
DOIs | |
Publication status | Published - Jan 2010 |
Keywords
- logic-enriched type theory
- predicativism
- formalisation of mathematics