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Formal Representation of Mathematics in a Dependently Typed Set Theory.

Authors :
Carbonell, Jaime G.
Siekmann, Jörg
Kauers, Manuel
Kerber, Manfred
Miner, Robert
Windsteiger, Wolfgang
Horozal, Feryal Fulya
Brown, Chad E.
Source :
Towards Mechanized Mathematical Assistants; 2007, p265-279, 15p
Publication Year :
2007

Abstract

We have formalized material from an introductory real analysis textbook in the proof assistant Scunak. Scunak is a system based on set theory encoded in a dependent type theory. We use the formalized material to illustrate some interesting aspects of the relationship between informal presentations of mathematics and their formal representation. We focus especially on a representative example proved using the system. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISBNs :
9783540730835
Database :
Supplemental Index
Journal :
Towards Mechanized Mathematical Assistants
Publication Type :
Book
Accession number :
33315745
Full Text :
https://doi.org/10.1007/978-3-540-73086-6_22