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  1. Comparing cubes of typed and type assignment systems.Steffen van Bakel, Luigi Liquori, Simona Ronchi Della Rocca & Pawel Urzyczyn - 1997 - Annals of Pure and Applied Logic 86 (3):267-303.
    We study the cube of type assignment systems, as introduced in Giannini et al. 87–126), and confront it with Barendregt's typed gl-cube . The first is obtained from the latter through applying a natural type erasing function E to derivation rules, that erases type information from terms. In particular, we address the question whether a judgement, derivable in a type assignment system, is always an erasure of a derivable judgement in a corresponding typed system; we show that this property holds (...)
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