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Abstract: We introduce a new model based on coherence spaces for interpreting large impredicative type systems such as the Extended Calculus of Constructions (ECC). Moreover, we show that this model is well-suited for interpreting intersection types and subtyping too, and we illustrate this by interpreting a variant of ECC with an additional intersection type binder. Furthermore, we propose a general method for interpreting the impredicative level in a non-syntactical way, by allowing the model to be... (Update)
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BibTeX entry: (Update)
@misc{ miquel-model,
author = "Alexandre Miquel",
title = "A Model for Impredicative Type Systems, Universes, Intersection Types and
Subtyping",
url = "citeseer.ist.psu.edu/480373.html" }
Citations (may not include all citations):268 Proofs and Types (context) - Girard, Lafont et al. - 1989
84 Computation and Reasoning: A Type Theory for Computer Scienc.. (context) - Luo - 1994
42 The Coq Proof Assistant Reference Manual - Version V (context) - Barras, Boutin et al. - 1997
39 A modular proof of Strong Normalization for the Calculus of .. (context) - Geuvers, Nederhof - 1991
20 Inductive types and Strong Normalization (context) - Altenkirch - 1993
14 Type inference: some results (context) - Giannini, Honsell et al. - 1993
7 Une thorie des Constructions Inductives (context) - Werner - 1994
4 The Church-Rosser property for - reduction in typed lambda .. (context) - Geuvers
2 Arguments implicites dans le Calcul des Constructions: tude .. (context) - Miquel - 1998
1 Private communication (context) - Girard - 1999
1 Thorie des ensembles (context) - Krivine - 1998
1 Dfinitions inductives en Thorie des Types d'Ordre Suprieur (context) - Paulin-Mohring - 1996
Documents on the same site (http://pauillac.inria.fr/~miquel/index-eng.html):
The Implicit Calculus of Constructions - Extending Pure Type.. - Miquel (Correct)
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