In this paper a proof of the normal form theorem for the closed terms of Girard's system F is given by using a computability method A la Tait. It is worth noting that most of the standard consequences of the normal form theorem can be obtained using this version of the theorem as well. From the proof-theoretical point of view the interest of the proof is that the definition of computable derivation here used does not seem to be well founded.

A proof of the normal form theorem for the closed terms of Girard's System F

VALENTINI, SILVIO
1993

Abstract

In this paper a proof of the normal form theorem for the closed terms of Girard's system F is given by using a computability method A la Tait. It is worth noting that most of the standard consequences of the normal form theorem can be obtained using this version of the theorem as well. From the proof-theoretical point of view the interest of the proof is that the definition of computable derivation here used does not seem to be well founded.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/136991
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