Weyl's predicative classical mathematics as a logic-enriched type theory
Journal article, 2010

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 formalize 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 nonconstructive foundation for mathematics.

logic-enriched type theory

formalization of mathematics

predicativism

Author

Robin Adams

Chalmers, Computer Science and Engineering (Chalmers), Computing Science (Chalmers)

Zhaohui Luo

Royal Holloway University of London

ACM Transactions on Computational Logic

1529-3785 (ISSN)

Vol. 11 2 1-29 11

Subject Categories

Algebra and Logic

Computer Science

Areas of Advance

Information and Communication Technology

Roots

Basic sciences

DOI

10.1145/1656242.1656246

More information

Latest update

8/23/2018