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Lambda Cube




  • Terms depending on types, or Polymorphism (as in System F ),

  • Types depending on types, or type operators, and

  • Types depending on terms, or Dependent Types (as in LF ).

  • All eight calculi include the most basic form of abstraction, terms depending on terms, ordinary functions as in the simply-typed lambda calculus.


The idea of the cube is due to the mathematician Henk Barendregt (1991).


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