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Abstract: We present a coercive subtyping system for the calculus of constructions. The proposed system C is obtained essentially by adding coercions and -conversion to C [10], which is a subtyping extension to the calculus of constructions without coercions. Following [17, 18], the coercive subtyping c : A B is understood as a special case of typing in arrow type c : A ! B such that the term c behaves like an identity function. We prove that, with respect to this semantic interpretation, the ... (Update)
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1.1: Coercive Subtyping for the Calculus of Constructions (Extended.. - Chen (2003) (Correct)
0.7: Dependent Types With Subtyping and Late-Bound Overloading - Castagna (1999) (Correct)
0.3: Coercion Completion and Conservativity in Coercive Subtyping - Soloviev, Luo (2000) (Correct)
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0.2: Coercive subtyping and lexical semantics (Extended Abstract) - Luo, Callaghan (1998) (Correct)
0.2: Full Integration of Subtyping and If-Expression - Gang Chen Computer (2002) (Correct)
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BibTeX entry: (Update)
@misc{ gang-coercive,
author = "Extended Gang",
title = "Coercive Subtyping for the Calculus of Constructions",
url = "citeseer.ist.psu.edu/728316.html" }
Citations (may not include all citations):388 On understanding types (context) - Cardelli, Wegner - 1985
81 Information and Computation (context) - Bruce, Longo et al. - 1990
40 Subtyping dependent types - Aspinall, Compagnoni - 1996
14 Lego with implicit coercions (context) - Bailey - 1996
14 Typechecking dependent types and subtypes (context) - Cardelli - 1987
10 Implicit coercions in type systems - Barthe - 1995
9 Object-Oriented Programming: A Uni ed Foundation (context) - Castagna - 1997
9 Subtyping calculus of construction (context) - Chen - 1997
6 Inheritance as implicit coercion (context) - Breazu-Tannen, Coquand et al. - 1991
4 Dependent type system with subtyping (context) - Chen - 1999
3 type conversions and elimination of transitivity (context) - Chen - 1998
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Principality and Type Inference for Intersection Types Using.. - Kfoury, Wells (2003) (Correct)
Meta-Programming through Typeful Code Representation - Chen, Xi (2003) (Correct)
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