Comparing cubes of typed and type assignment systems

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Comparing Cubes of Typed and Type Assignment Systems

We study the cube of type assignment systems, as introduced in [13], and confront it with Barendregt’s typed λ-cube [4]. 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 ...

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We study the cube of type assignment systems, as introduced in 13], and confront it with Barendregt's typed-cube 4]. The rst 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 deriv...

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We study the cube of type assignment systems, as introduced in [10]. This cube is obtained from Barendregt’s typed -cube [1] via a natural type erasing function E, that erases type information from terms. We prove that the systems in the former cube enjoy good computational properties, like subject reduction and strong normalization. We study the relationship between the two cubes, which leads ...

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ژورنال

عنوان ژورنال: Annals of Pure and Applied Logic

سال: 1997

ISSN: 0168-0072

DOI: 10.1016/s0168-0072(96)00036-x