On the Definition of the Eta-long Normal Form in Type Systems of the Cube

07/03/2023

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by   Gilles Dowek, et al.

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The smallest transitive relation < on well-typed normal terms such that if t is a strict subterm of u then t < u and if T is the normal form of the type of t and the term t is not a sort then T < t is well-founded in the type systems of the cube. Thus every term admits a eta-long normal form.