168 search results - page 2 / 34 » An Introduction to Dependent Type Theory |
CSL
2000
Springer
13 years 9 months ago
2000
Springer
We introduce basic concepts from object-oriented programming into dependent type theory based on the idea of modelling objects as interactive programs. We consider methods, interf...
CSL
2004
Springer
13 years 10 months ago
2004
Springer
We consider the problem of providing formal support for working tract syntax involving variable binders. Gabbay and Pitts have shown in their work on Fraenkel-Mostowski (FM) set th...
MKM
2007
Springer
13 years 11 months ago
2007
Springer
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 ...
CIE
2008
Springer
13 years 7 months ago
2008
Springer
Nested datatypes are families of datatypes that are indexed over all types and where the datatype constructors relate different members of the family. This may be used to represent...
TOCL
2012
11 years 7 months ago
2012
racting these leads us to introduce the notion of a path object category. This is a relatively simple axiomatic framework, which is nonetheless sufficiently strong to allow the con...