Functional interpretation and inductive definitions

Journal of Symbolic Logic 74 (4):1100-1120 (2009)
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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DOI 10.2178/jsl/1254748682
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References found in this work BETA
Bounded Functional Interpretation.Fernando Ferreira & Paulo Oliva - 2005 - Annals of Pure and Applied Logic 135 (1):73-112.
Shoenfield is Gödel After Krivine.Thomas Streicher & Ulrich Kohlenbach - 2007 - Mathematical Logic Quarterly 53 (2):176-179.
Predicative Functionals and an Interpretation of ⌢ID<Ω.Jeremy Avigad - 1998 - Annals of Pure and Applied Logic 92 (1):1-34.
A Diller-Nahm-Style Functional Interpretation of $Hbox{Sf KP} Omega$.Wolfgang Burr - 2000 - Archive for Mathematical Logic 39 (8):599-604.

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