Lambda cube

In mathematical logic and type theory, the λ-cube is a framework introduced by Henk Barendregt to investigate the different dimensions in which the calculus of constructions is a generalization of the simply typed λ-calculus. Each dimension of the cube corresponds to a new kind of dependency between terms and types. Here, "dependency" refers to the capacity of a term or type to bind a term or type. The respective dimensions of the λ-cube correspond to:x-axis : types that can bind terms, corresponding to dependent types. y-axis : terms that can bind types, corresponding to polymorphism. z-axis : types that can bind types, corresponding to (binding) type operators.

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