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