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Abstract: Coercive subtyping offers a general approach to subtyping and inheritance by introducing a simple abbreviational mechanism to constructive type theories. In this paper, we study coercion completion in coercive subtyping and prove that the formal extension with coercive subtyping of a type theory such as Martin-Lof's type theory and UTT is a conservative extension. The importance of coherence conditions for the conservativity result is also discussed. 1 Introduction Coercive subtyping, as... (Update)
Context of citations to this paper: More
...ec(zero) and so on. 2.3. Coercive Subtyping LF is extended with a notion of Coercive Subtyping in [25] with additional studies in [20, 38, 28]. Coercive Subtyping is viewed as an abbreviational mechanism of the meta language (LF) and not part of a particular object type...
.... problematic for other approaches [LC98a] The metatheory of this approach to subtyping has been studied in other papers [Luo97] JLS98] SL98a] SL98b] and the approach was recently extended to cover dependent coercions [LS99a] discussed in section 2.4.4) A significant...
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BibTeX entry: (Update)
Soloviev, S. and Z. Luo: 2000, `Coercion completion and conservativity in coercive subtyping'. Annals of Pure and Applied Logic (to appear). impl-universes.tex; 26/09/2000; 14:27; p.28 http://citeseer.ist.psu.edu/article/soloviev00coercion.html More
@article{ soloviev02coercion,
author = "Sergei Soloviev and Zhaohui Luo",
title = "Coercion Completion and Conservativity in Coercive Subtyping",
journal = "Annals of Pure and Applied Logic",
volume = "113",
number = "1--3",
pages = "297--322",
year = "2002",
url = "citeseer.ist.psu.edu/article/soloviev00coercion.html" }
Citations (may not include all citations):191 LEGO Proof Development System: User's Manual (context) - Luo, Pollack - 1992
84 Computation and Reasoning: A Type Theory for Computer Scienc.. (context) - Luo - 1994
31 Journal of Logic and Computation (context) - Luo - 1998
25 The Machine-checked Literate Formalisation of Algebra in Typ.. (context) - Bailey - 1998
23 Typing algorithm in type theory with inheritance (context) - Saibi - 1997
16 Mathematical vernacular and conceptual well-formedness in ma.. - Luo, Callaghan - 1998
16 Programming in MartinL of's Type Theory: An Introduction (context) - Nordstrom, Petersson et al. - 1990
15 Some proof-theoretic and algorithmic aspects of coercive sub.. (context) - Jones, Luo et al. - 1998
14 Lego with implicit coercions (context) - Bailey - 1996
1 Submitted to LACL (context) - Luo, Callaghan et al. - 1998
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