A single Gentzen-style monadic translation of System T, parameterized by a nucleus, derives majorizability, continuity, and bar recursion for all T-definable functionals.
Escard \'o and Paulo Oliva
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A Gentzen-style monadic translation of G\"odel's System T
A single Gentzen-style monadic translation of System T, parameterized by a nucleus, derives majorizability, continuity, and bar recursion for all T-definable functionals.