Weyl's predicative classical mathematics as a logic-enriched type theory
Paper i proceeding, 2006

In Das Kontinuum, Weyl showed how a large body of classical mathematics could be developed on a purely predicative foundation. We present a logic-enriched type theory that corresponds to Weyl’s foundational system. A large part of the mathematics in Weyl’s book — including Weyl’s definition of the cardinality of a set and several results from real analysis — has been formalised, using the proof assistant Plastic that implements a logical framework. This case study shows how type theory can be used to represent a non-constructive foundation for mathematics.

logic-enriched type theory predicativism formalisation

Författare

Robin Adams

Chalmers, Data- och informationsteknik, Datavetenskap

Lecture Notes in Computer Science

0302-9743 (ISSN)

Vol. 4502 1-17

Types for Proofs and Programs International Workshop, TYPES 2006
Nottingham, United Kingdom,

Ämneskategorier

Algebra och logik

Datavetenskap (datalogi)

Styrkeområden

Informations- och kommunikationsteknik

Fundament

Grundläggande vetenskaper

DOI

10.1007/978-3-540-74464-1_1

Mer information

Skapat

2018-08-23