Title
On the power of coercion abstraction
Abstract
Erasable coercions in System F-eta, also known as retyping functions, are well-typed eta-expansions of the identity. They may change the type of terms without changing their behavior and can thus be erased before reduction. Coercions in F-eta can model subtyping of known types and some displacement of quantifiers, but not subtyping assumptions nor certain forms of delayed type instantiation. We generalize F-eta by allowing abstraction over retyping functions. We follow a general approach where computing with coercions can be seen as computing in the lambda-calculus but keeping track of which parts of terms are coercions. We obtain a language where coercions do not contribute to the reduction but may block it and are thus not erasable. We recover erasable coercions by choosing a weak reduction strategy and restricting coercion abstraction to value-forms or by restricting abstraction to coercions that are polymorphic in their domain or codomain. The latter variant subsumes F-eta, F-sub, and MLF in a unified framework.
Year
DOI
Venue
2012
10.1145/2103656.2103699
POPL
Keywords
Field
DocType
subtyping assumption,weak reduction strategy,coercion abstraction,delayed type instantiation,system f-eta,certain form,known type,general approach,erasable coercion,retyping function,system f,polymorphism,coercion,lambda calculus,conversion,type,subtyping,bounded polymorphism
Reduction strategy,Programming language,Codomain,Abstraction,Computer science,System F,Bounded quantification,Theoretical computer science,Subtyping
Conference
Volume
Issue
ISSN
47
1
0362-1340
Citations 
PageRank 
References 
4
0.47
8
Authors
2
Name
Order
Citations
PageRank
Julien Cretin1873.76
Didier Rémy268249.82