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Elementary Proof of Strong Normalization for Atomic F

Fernando Ferreira; Gilda Ferreira — 2016

Bulletin of the Section of Logic

We give an elementary proof (in the sense that it is formalizable in Peano arithmetic) of the strong normalization of the atomic polymorphic calculus Fat (a predicative restriction of Girard’s system F).

An interpretation of $S_{2}^{1}$ in $Σ_{1}^{b}$ -NIA.

Ferreira, Gilda; Oitavem, Isabel — 2006

Portugaliae Mathematica. Nova Série

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Elementary Proof of Strong Normalization for Atomic F

An interpretation of S 2 1 in Σ 1 b -NIA.

An interpretation of $S_{2}^{1}$ in $Σ_{1}^{b}$ -NIA.