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Abstract: Coercive Subtyping is a conceptually simple but powerful framework for subtyping in type theory. Recent work in Durham by Luo et al. on Coercive Subtyping has been partially implemented in the proof assistant `Plastic'. Plastic is an implementation of a variant of Martin-Lof's LF with inductive types, universes, and coercive subtyping. After discussing background theory and then the implementation of coercions, this paper considers the important issue of coherence. Where several coercions ... (Update)
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BibTeX entry: (Update)
P. Callaghan. Coherence Checking of Coercions in Plastic. In Proc. Workshop on Subtyping & Dependent Types in Programming, July 2000. http://citeseer.ist.psu.edu/callaghan00coherence.html More
@misc{ callaghan00coherence,
author = "P. Callaghan",
title = "Coherence Checking of Coercions in Plastic",
text = "P. Callaghan. Coherence Checking of Coercions in Plastic. In Proc. Workshop
on Subtyping & Dependent Types in Programming, July 2000.",
year = "2000",
url = "citeseer.ist.psu.edu/callaghan00coherence.html" }
Citations (may not include all citations):236 Intuitionistic Type Theory (context) - Martin-Lof - 1984
191 LEGO Proof Development System: User's Manual (context) - Luo, Pollack - 1992
96 An algorithm for testing conversion in Type Theory (context) - Coquand - 1991
84 Computation and Reasoning: A Type Theory for Computer Scienc.. (context) - Luo - 1994
62 Programming in Martin-Lof's Type Theory: An Introduction (context) - Nordstrom, Petersson et al. - 1990
31 Journal of Logic and Computation (context) - Luo - 1999
25 The Machine-checked Literate Formalisation of Algebra in Typ.. (context) - Bailey - 1998
24 The constructive engine (context) - Huet - 1989
17 record types and subtyping in type theory (context) - Tasistro - 1997
16 Mathematical vernacular and conceptual wellformedness in mat.. - Luo, Callaghan - 1998
15 A logic of subtyping - Longo, Milsted et al. - 1995
15 Some proof-theoretic and algorithmic aspects of coercive sub.. (context) - Jones, Luo et al. - 1998
14 Lego with implicit coercions (context) - Bailey - 1996
14 Type-checking dependent types and subtypes (context) - Cardelli - 1988
14 Research report YALEU/DCS/RR (context) - Jones, qualified - 1993
[Article contains additional citations not shown here]
Documents on the same site (http://www.dur.ac.uk/~dcs8ttg/publications.html):
Some Algorithmic and Proof-Theoretical Aspects of Coercive.. - Jones, Luo, Soloviev (1996) (Correct)
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