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» A Calculus for Type Predicates and Type Coercion
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POPL
1991
ACM
13 years 9 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 10 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 6 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
14 years 11 days 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»
14 years 13 days 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