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  1. Functional interpretation and inductive definitions.Jeremy Avigad & Henry Towsner - 2009 - Journal of Symbolic Logic 74 (4):1100-1120.
    Extending Gödel's Dialectica interpretation, we provide a functional interpretation of classical theories of positive arithmetic inductive definitions, reducing them to theories of finite-type functionals defined using transfinite recursion on well-founded trees.
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  • Factorization of the Shoenfield-like Bounded Functional Interpretation.Jaime Gaspar - 2009 - Notre Dame Journal of Formal Logic 50 (1):53-60.
    We adapt Streicher and Kohlenbach's proof of the factorization S = KD of the Shoenfield translation S in terms of Krivine's negative translation K and the Gödel functional interpretation D, obtaining a proof of the factorization U = KB of Ferreira's Shoenfield-like bounded functional interpretation U in terms of K and Ferreira and Oliva's bounded functional interpretation B.
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  • Delimited control operators prove Double-negation Shift.Danko Ilik - 2012 - Annals of Pure and Applied Logic 163 (11):1549-1559.
    We propose an extension of minimal intuitionistic predicate logic, based on delimited control operators, that can derive the predicate-logic version of the double-negation shift schema, while preserving the disjunction and existence properties.
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