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» Relational Reasoning for Recursive Types and References
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LICS
2006
IEEE
14 years 7 days ago
On Typability for Rank-2 Intersection Types with Polymorphic Recursion
We show that typability for a natural form of polymorphic recursive typing for rank-2 intersection types is undecidable. Our proof involves characterizing typability as a context ...
Tachio Terauchi, Alex Aiken
LICS
2003
IEEE
13 years 11 months ago
Structural Subtyping of Non-Recursive Types is Decidable
We show that the first-order theory of structural subtyping of non-recursive types is decidable, as a consequence of a more general result on the decidability of term powers of d...
Viktor Kuncak, Martin C. Rinard
LICS
2002
IEEE
13 years 11 months ago
Computational Adequacy for Recursive Types in Models of Intuitionistic Set Theory
This paper provides a unifying axiomatic account of the interpretation of recursive types that incorporates both domain-theoretic and realizability models as concrete instances. O...
Alex K. Simpson
TLCA
2007
Springer
14 years 10 days ago
Computation by Prophecy
We describe a new method to represent (partial) recursive functions in type theory. For every recursive definition, we define a co-inductive type of prophecies that characterises...
Ana Bove, Venanzio Capretta
ITP
2010
172views Mathematics» more  ITP 2010»
13 years 10 months ago
Equations: A Dependent Pattern-Matching Compiler
Abstract. We present a compiler for definitions made by pattern matching on inductive families in the Coq system. It allows to write structured, recursive dependently-typed functi...
Matthieu Sozeau