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» Mixed Inductive Coinductive Types and Strong Normalization
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APLAS
2007
ACM
13 years 8 months ago
Mixed Inductive/Coinductive Types and Strong Normalization
Abstract. We introduce the concept of guarded saturated sets, saturated sets of strongly normalizing terms closed under folding of corecursive functions. Using this tool, we can mo...
Andreas Abel
MPC
2010
Springer
159views Mathematics» more  MPC 2010»
13 years 9 months ago
Subtyping, Declaratively
Abstract. It is natural to present subtyping for recursive types coinductively. However, Gapeyev, Levin and Pierce have noted that there is a problem with coinductive definitions ...
Nils Anders Danielsson, Thorsten Altenkirch
TLCA
2007
Springer
13 years 10 months ago
Strong Normalization and Equi-(Co)Inductive Types
e type system for the l—m˜d—E™—l™ulus enri™hed with re™urE sive —nd ™ore™ursive fun™tions over equiEindu™tive —nd E™oindu™tive types is presented in whi™h —ll wel...
Andreas Abel
LPAR
2010
Springer
13 years 2 months ago
On Strong Normalization of the Calculus of Constructions with Type-Based Termination
Termination of recursive functions is an important property in proof assistants based on dependent type theories; it implies consistency and decidability of type checking. Type-bas...
Benjamin Grégoire, Jorge Luis Sacchini
ENTCS
2007
113views more  ENTCS 2007»
13 years 4 months ago
A Formalization of Strong Normalization for Simply-Typed Lambda-Calculus and System F
We formalize in the logical framework ATS/LF a proof based on Tait’s method that establishes the simply-typed lambda-calculus being strongly normalizing. In malization, we emplo...
Kevin Donnelly, Hongwei Xi