Title
Stack semantics of type theory
Abstract
We give a model of dependent type theory with one univalent universe and propositional truncation interpreting a type as a stack, generalizing the groupoid model of type theory. As an application, we show that countable choice cannot be proved in dependent type theory with one univalent universe and propositional truncation.
Year
DOI
Venue
2017
10.1109/LICS.2017.8005130
2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)
Keywords
DocType
Volume
stack semantics,dependent type theory model,univalent universe,propositional truncation
Conference
abs/1701.02571
ISSN
ISBN
Citations 
1043-6871
978-1-5090-3019-4
4
PageRank 
References 
Authors
0.57
7
3
Name
Order
Citations
PageRank
T. Coquand113513.55
Bassel Mannaa2193.49
Fabian Ruch340.57