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Abstract: Several proof-assistants rely on the very formal basis of Pure Type Systems. However, some practical issues raised by the development of large proofs lead to add other features to actual implementations for handling namespace management, for developing reusable proof libraries and for separate verification of distincts parts of large proofs. Unfortunately, few theoretical basis are given for these features. In this paper we propose an extension of Pure Type Systems with a module calculus... (Update)
Context of citations to this paper: More
...conclusion. 5 Implementation We extended uf, our prototype implementation of a module calculus over the Calculus of Constructions [Cou97,Cou01] with the constructs and rules of EPECC. This prototype is written in Objective Caml with the help of a homemade tool compiling...
...decidability of type checking. Courant has managed to adapt his ideas to more general core languages including dependently typed logics[13]. However, the need to perform even limited compile time equational reasoning on module terms is a distinct departure from the rigid phase...
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BibTeX entry: (Update)
Judicael Courant. A module calculus for pure type systems. In Typed Lambda Calculi and Applications 97, LNCS. Springer-Verlag, 1997. http://citeseer.ist.psu.edu/article/courant96module.html More
@inproceedings{ courant97module,
author = "Judicael Courant",
title = "A Module Calculus for Pure Type Systems",
booktitle = "Proceedings fo the Third International Conference on Typed Lambda Calculus and Applications ({TLCA}'97)",
publisher = "Springer-Verlag LNCS",
address = "Nancy, France",
editor = "R. Hindley",
year = "1997",
url = "citeseer.ist.psu.edu/article/courant96module.html" }
Citations (may not include all citations):382 Lambda calculi with types - Barendregt - 1991
215 A type-theoretic approach to higher-order modules with shari.. - Harper, Lillibridge - 1994
128 and separate compilation (context) - Leroy, modules - 1994
85 The ALF proof editor and its proof engine (context) - Magnusson, Nordstrom - 1994
75 Applicative functors and fully transparent higher-order modu.. - Leroy - 1995
72 The Theory of LEGO: A Proof Checker for the Extended Calculu.. - Pollack - 1994
64 A meta-mathematical investigation of a Calculus of Construct.. (context) - Coquand - 1987
49 Inductive definitions in the system Coq : Rules and Properti.. - Paulin-Mohring - 1993
47 volume 7 of Cambridge Tracts in Theoretical Computer Science (context) - Girard, Lafont et al. - 1989
46 The calculus of constructions (context) - Coquand, Huet - 1988
38 Pure type systems with definitions - Severi, Poll - 1994
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27 The definition of Extended ML: a gentle introduction - Kahrs, Sannella et al.
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23 The Coq Proof Assistant Reference Manual Version (context) - Cornes, Courant et al. - 1995
22 Isomorphisms of types: from -calculus to information retriev.. (context) - Di Cosmo - 1995
17 Ecc: an extended calculus of constructions - Luo - 1989
16 The IMPS User's Manual (context) - Farmer, Guttman et al. - 1995
13 Cime: Completion modulo e (context) - Contejean, March'e - 1996
10 Department of Information Science (context) - Takahashi, in et al. - 1993
8 ath'ematique; Th'eorie des Ensembles (context) - Bourbaki - 1970
5 A module calculus enjoying the subject-reduction property - Courant - 1996
5 Formal program development in Extended ML for the working pr.. (context) - Sannella - 1990
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2 Private Communication (context) - Saibi - 1996
2 Programmation modulaire avec surcharge et liaison tardive (context) - Aponte, Castagna - 1996
2 ese, Universit (context) - Rouaix, Typage et al. - 1990
1 ese de doctorat, Laboratoire d (context) - Castagna, sous-typage et al. - 1994
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