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.
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