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» Subtyping Recursive Types
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APLAS
2006
ACM
15 years 5 months ago
Relational Reasoning for Recursive Types and References
We present a local relational reasoning method for reasoning about contextual equivalence of expressions in a λ-calculus with recursive types and general references. Our developme...
Nina Bohr, Lars Birkedal
APAL
2000
61views more  APAL 2000»
14 years 11 months ago
Higher type recursion, ramification and polynomial time
It is shown how to restrict recursion on notation in all finite types so as to characterize the polynomial time computable functions. The restrictions are obtained by using a rami...
Stephen J. Bellantoni, Karl-Heinz Niggl, Helmut Sc...
CSL
2004
Springer
15 years 5 months ago
Fixed Points of Type Constructors and Primitive Recursion
Abstract. For nested or heterogeneous datatypes, terminating recursion schemes considered so far have been instances of iteration, excluding efficient definitions of fixed-point ...
Andreas Abel, Ralph Matthes
ICFP
2004
ACM
15 years 11 months ago
Numbering matters: first-order canonical forms for second-order recursive types
We study a type system equipped with universal types and equirecursive types, which we refer to as F?. We show that type equality may be decided in time O(n log n), an improvement...
François Pottier, Nadji Gauthier
TLDI
2009
ACM
169views Formal Methods» more  TLDI 2009»
15 years 8 months ago
Relational parametricity for references and recursive types
We present a possible world semantics for a call-by-value higherorder programming language with impredicative polymorphism, general references, and recursive types. The model is o...
Lars Birkedal, Kristian Støvring, Jacob Tha...