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» Relational Reasoning for Recursive Types and References
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APLAS
2006
ACM
14 years 6 days 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
TLDI
2009
ACM
169views Formal Methods» more  TLDI 2009»
14 years 3 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...
FOSSACS
2009
Springer
14 years 1 months ago
Realizability Semantics of Parametric Polymorphism, General References, and Recursive Types
Abstract. We present a realizability model for a call-by-value, higherorder programming language with parametric polymorphism, general first-class references, and recursive types....
Lars Birkedal, Kristian Støvring, Jacob Tha...
POPL
2012
ACM
12 years 1 months ago
The marriage of bisimulations and Kripke logical relations
There has been great progress in recent years on developing effective techniques for reasoning about program equivalence in ML-like languages—that is, languages that combine fea...
Chung-Kil Hur, Derek Dreyer, Georg Neis, Viktor Va...
ESOP
2006
Springer
13 years 10 months ago
Step-Indexed Syntactic Logical Relations for Recursive and Quantified Types
We present a sound and complete proof technique, based on syntactic logical relations, for showing contextual equivalence of expressions in a -calculus with recursive types and imp...
Amal J. Ahmed