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» Relational Reasoning for Recursive Types and References
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LICS
2006
IEEE
15 years 9 months 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
15 years 8 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
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LICS
2002
IEEE
15 years 7 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
15 years 9 months 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»
15 years 6 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