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» A type system for well-founded recursion
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TLCA
2005
Springer
14 years 1 months ago
Subtyping Recursive Types Modulo Associative Commutative Products
This work sets the formal bases for building tools that help retrieve classes in object-oriented libraries. In such systems, the user provides a query, formulated as a set of class...
Roberto Di Cosmo, François Pottier, Didier ...
CIE
2008
Springer
13 years 9 months ago
Recursion on Nested Datatypes in Dependent Type Theory
Nested datatypes are families of datatypes that are indexed over all types and where the datatype constructors relate different members of the family. This may be used to represent...
Ralph Matthes
APLAS
2007
ACM
13 years 11 months ago
Mixed Inductive/Coinductive Types and Strong Normalization
Abstract. We introduce the concept of guarded saturated sets, saturated sets of strongly normalizing terms closed under folding of corecursive functions. Using this tool, we can mo...
Andreas Abel
ICFP
2005
ACM
14 years 7 months ago
Recursive type generativity
Existential types provide a simple and elegant foundation for uning generative abstract data types, of the kind supported by the Standard ML module system. However, in attempting ...
Derek Dreyer
TLCA
1997
Springer
13 years 11 months ago
Coinductive Axiomatization of Recursive Type Equality and Subtyping
We present new sound and complete axiomatizations of type equality and subtype inequality for a first-order type language with regular recursive types. The rules are motivated by ...
Michael Brandt, Fritz Henglein