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» On Strong Normalization of the Calculus of Constructions wit...
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CSL
2004
Springer
14 years 28 days ago
Fixed Points of Type Constructors and Primitive Recursion
Abstract. For nested or heterogeneous datatypes, terminating recursion schemes considered so far have been instances of iteration, excluding efficient definitions of fixed-point ...
Andreas Abel, Ralph Matthes
LICS
2007
IEEE
14 years 1 months ago
A Dependent Set Theory
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...
Wojciech Moczydlowski
FOSSACS
2003
Springer
14 years 23 days ago
Generalized Iteration and Coiteration for Higher-Order Nested Datatypes
Abstract. We solve the problem of extending Bird and Paterson’s generalized folds for nested datatypes and its dual to inductive and coinductive constructors of arbitrarily high ...
Andreas Abel, Ralph Matthes, Tarmo Uustalu
ICFP
2010
ACM
13 years 7 months ago
Lolliproc: to concurrency from classical linear logic via curry-howard and control
While many type systems based on the intuitionistic fragment of linear logic have been proposed, applications in programming languages of the full power of linear logic--including...
Karl Mazurak, Steve Zdancewic