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  1. Proceedings of the Fourth International Workshop on Logical Frameworks and Meta-Languages (LFMTP '09)
  2. The calculus of nominal inductive constructions: an intensional approach to encoding name-bindings
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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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The calculus of nominal inductive constructions: an intensional approach to encoding name-bindings

Content Provider ACM Digital Library
Author Westbrook, Edwin Austin, Evan Stump, Aaron
Abstract Although name-bindings are ubiquitous in computer science, they are well-known to be cumbersome to encode and reason about in logic and type theory. There are many proposed solutions to this problem in the literature, but most of these proposals, however, have been extensional, meaning they are defined in terms of other concepts in the theory. This makes it difficult to apply these proposals in intensional theories like the Calculus of Inductive Constructions, or CIC. In this paper, we introduce an approach to encoding name-bindings that is intensional, as it attempts to capture the meaning of a name-binding in itself. This approach combines in a straightforward manner with CIC to form the Calculus of Nominal Inductive Constructions, or CNIC. CNIC supports induction over data containing bindings, comparing of names for equality, and associating meta-language types with names in a fashion similar to HOAS, features which have been shown difficult to support in practice.
Starting Page 74
Ending Page 83
Page Count 10
File Format PDF
ISBN 9781605585291
DOI 10.1145/1577824.1577836
Language English
Publisher Association for Computing Machinery (ACM)
Publisher Date 2009-08-02
Publisher Place New York
Access Restriction Subscribed
Content Type Text
Resource Type Article
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