7289 search results - page 1 / 1458 » A Dependent Set Theory |
LICS
2007
IEEE
13 years 11 months ago
2007
IEEE
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...
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 ...
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...
TYPES
2000
Springer
13 years 8 months ago
2000
Springer
We introduce logic-enriched intuitionistic type theories, that extend intuitionistic dependent type theories with primitive judgements to express logic. By adding type theoretic ru...
FOIKS
2008
Springer
13 years 6 months ago
2008
Springer
We present a method for decomposing a hypergraph with certain regularities into smaller hypergraphs. By applying this to the set of all canonical covers of a given set of functiona...