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ENTCS
2008
128views more  ENTCS 2008»
13 years 4 months ago
Towards Formalizing Categorical Models of Type Theory in Type Theory
This note is about work in progress on the topic of "internal type theory" where we investigate the internal formalization of the categorical metatheory of constructive ...
Alexandre Buisse, Peter Dybjer
IMPERIAL
1993
13 years 8 months ago
Deriving Category Theory from Type Theory
This work expounds the notion that (structured) categories are syntax free presentations of type theories, and shows some of the ideas involved in deriving categorical semantics f...
Roy L. Crole
CSL
2004
Springer
13 years 10 months ago
A Dependent Type Theory with Names and Binding
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...
Ulrich Schöpp, Ian Stark
TOCL
2012
235views Formal Methods» more  TOCL 2012»
11 years 7 months ago
Topological and Simplicial Models of Identity Types
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...
Benno van den Berg, Richard Garner
POPL
2012
ACM
12 years 3 days ago
A type theory for probability density functions
There has been great interest in creating probabilistic programming languages to simplify the coding of statistical tasks; however, there still does not exist a formal language th...
Sooraj Bhat, Ashish Agarwal, Richard W. Vuduc, Ale...