Lambda Cube
In
mathematical logic
and
type theory
, the
λ-cube
is a framework for exploring the axes of refinement in
Coquand
's
Calculus of Constructions
, starting from the
simply typed lambda calculus
as the vertex of a (3-D) cube placed at the origin, and the calculus of constructions (= higher order polymorphic lambda calculus) as its diametric opposite vertex. The idea of the cube is due to the mathematician
Henk Barendregt
.
See also
Lambda calculus
System F
References
H.P. Barendregt
, Introduction to generalized type systems,
Journal of Functional Programming
, 1(2):125-154, April 1991.
Barendregt's Lambda Cube
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