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  1. Proceedings of the Fourth International Workshop on Logical Frameworks and Meta-Languages (LFMTP '09)
  2. Coercive subtyping in lambda-free logical frameworks
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Higher-order abstract syntax in classical higher-order logic
A syntactic account of singleton types via hereditary substitution
Formalizing a strong normalization proof for Moggi's computational metalanguage: a case study in Isabelle/HOL-nominal
How can we prove that a proof search method is not an instance of another?
Theory support for weak higher order abstract syntax in Isabelle/HOL
Coercive subtyping in lambda-free logical frameworks
Universal algebra over lambda-terms and nominal terms: the connection in logic between nominal techniques and higher-order variables
A practical module system for LF
The calculus of nominal inductive constructions: an intensional approach to encoding name-bindings
Higher-order constraint simplification in dependent type theory

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Coercive subtyping in lambda-free logical frameworks

Content Provider ACM Digital Library
Author Adams, Robin
Abstract We show how coercive subtyping may be added to a lambda-free logical framework, by constructing the logical framework TF<, an extension of the lambda-free logical framework TF with coercive subtyping. Instead of coercive application, TF< makes use of a typecasting operation. We develop the metatheory of the resulting framework, including providing some general conditions under which typecasting in an object theory with coercive subtyping is decidable. We show how TF< may be embedded in the logical framework LF, and hence how results about LF may be deduced from results about TF<.
Starting Page 30
Ending Page 39
Page Count 10
File Format PDF
ISBN 9781605585291
DOI 10.1145/1577824.1577830
Language English
Publisher Association for Computing Machinery (ACM)
Publisher Date 2009-08-02
Publisher Place New York
Access Restriction Subscribed
Subject Keyword Type theory Lambda-free logical framework Coercive subtyping Typecasting Metatheory
Content Type Text
Resource Type Article
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