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Abstract: Coercive subtyping is a general approach to subtyping, inheritance and abbreviation in dependent type theories. A vital requirement for coercive subtyping is that of coherence { computational uniqueness of coercions between any two types. In this paper, we develop techniques useful in proving coherence and its related result on admissibility of transitivity and substitution. In particular, we consider suitable subtyping rules for -types and -types and prove its coherence and the... (Update)
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BibTeX entry: (Update)
@misc{ computer-coherence,
author = "Department Of Computer",
title = "Coherence and transitivity in coercive subtyping Yong Luo and Zhaohui Luo",
url = "citeseer.ist.psu.edu/629527.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
47 The Coq Proof Assistant Reference Manual (context) - Barras - 2000
31 Journal of Logic and Computation (context) - Luo - 1999
25 The Machine-checked Literate Formalisation of Algebra in Typ.. (context) - Bailey - 1999
23 Typing algorithm in type theory with inheritance (context) - Saibi - 1997
21 s Type Theory: An Introduction (context) - Nordstr, Petersson et al. - 1990
15 Some proof-theoretic and algorithmic aspects of coercive sub.. (context) - Jones, Luo et al. - 1998
6 Coercive subtyping and lexical semantics (context) - Luo, Callaghan - 1998
6 Electronic Notes in Theoretical Computer Science (context) - Luo, Soloviev et al. - 1999
5 Type Conversion and Transitivity Elimination (context) - Chen - 1998
5 Coercion completion and conservativity in coercive subtyping - Soloviev, Luo - 2001
4 Annual Conference of the European Association for Computer S.. (context) - Luo, in et al. - 1997
4 Object languages in a type-theoretic meta-framework - Callaghan, Luo et al. - 2001
4 An implementation of LF with coercive subtyping and universe.. (context) - Callaghan, Luo - 2001
3 Weak transitivity in coercive subtyping - Luo, Luo et al. - 2001
Documents on the same site (http://www.dur.ac.uk/CARG/publications.html): More
An Extended Calculus of Constructions - Luo (1990) (Correct)
Developing Reuse Technology in Proof Engineering - Zhaohui Luo (1995) (Correct)
Mathematical Vernacular in Type Theory-based Proof Assistants - Callaghan, Luo (1998) (Correct)
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