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Abstract: In this paper, we introduce a new type system, the Implicit Calculus of Constructions, which is a Curry-style variant of the Calculus of Constructions that we extend by adding an intersection type binder| called the implicit dependent product. Unlike the usual approach of Type Assignment Systems, the implicit product can be used at every place in the universe hierarchy. We study syntactical properties of this calculus such as the -subject reduction property, and we show that the... (Update)
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BibTeX entry: (Update)
@incollection{ miquel01implicit,
author = "Alexandre Miquel",
title = "The Implicit Calculus of Constructions: Extending Pure Type Systems with an Intersection Type Binder and Subtyping",
booktitle = "Proc.\ of 5th Int.\ Conf.\ on Typed Lambda Calculi and Applications, {TLCA}'01, Krakow, Poland, 2--5 May 2001",
volume = "2044",
publisher = "Springer-Verlag",
address = "Berlin",
editor = "S. Abramsky",
pages = "344--359",
year = "2001",
url = "citeseer.ist.psu.edu/493149.html" }
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Documents on the same site (http://pauillac.inria.fr/~miquel/index-eng.html):
A Model for Impredicative Type Systems, Universes, Intersection.. - Miquel (Correct)
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