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» Relational Reasoning for Recursive Types and References
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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
LICS
2009
IEEE
14 years 2 months ago
Logical Step-Indexed Logical Relations
We show how to reason about “step-indexed” logitions in an abstract way, avoiding the tedious, error-prone, and proof-obscuring step-index arithmetic that seems superficially...
Derek Dreyer, Amal Ahmed, Lars Birkedal
CADE
1998
Springer
13 years 11 months ago
Admissibility of Fixpoint Induction over Partial Types
Partial types allow the reasoning about partial functions in type theory. The partial functions of main interest are recursively computed functions, which are commonly assigned ty...
Karl Crary
ICFP
2010
ACM
13 years 8 months ago
The impact of higher-order state and control effects on local relational reasoning
Reasoning about program equivalence is one of the oldest problems in semantics. In recent years, useful techniques have been developed, based on bisimulations and logical relation...
Derek Dreyer, Georg Neis, Lars Birkedal
POPL
2007
ACM
14 years 7 months ago
A very modal model of a modern, major, general type system
We present a model of recursive and impredicatively quantified types with mutable references. We interpret in this model all of the type constructors needed for typed intermediate...
Andrew W. Appel, Christopher D. Richards, Jé...