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» A Calculus for Type Predicates and Type Coercion
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POPL
1991
ACM
13 years 8 months ago
Subtyping Recursive Types
We investigate the interactions of subtyping and recursive types, in a simply typed λ-calculus. The two fundamental questions here are whether two (recursive) types are in the su...
Roberto M. Amadio, Luca Cardelli
ICFP
1997
ACM
13 years 9 months ago
Foundations for the Implementation of Higher-Order Subtyping
We show how to implement a calculus with higher-order subtyping and subkinding by replacing uses of implicit subsumption with explicit coercions. To ensure this can be done, a pol...
Karl Crary
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 4 months ago
Inductive types in the Calculus of Algebraic Constructions
In a previous work, we proved that almost all of the Calculus of Inductive Constructions (CIC), the basis of the proof assistant Coq, can be seen as a Calculus of Algebraic Constru...
Frédéric Blanqui
TLCA
2007
Springer
13 years 11 months ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Denis Cousineau 0002, Gilles Dowek
CALCO
2007
Springer
110views Mathematics» more  CALCO 2007»
13 years 11 months ago
Logical Semantics of Types for Concurrency
We motivate and present a logical semantic approach to types for concurrency and to the soundness of related systems. The approach is illustrated by the development of a generic ty...
Luís Caires