Abstract
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.
Citation
Jeremy Avigad. Henry Towsner. "Functional interpretation and inductive definitions." J. Symbolic Logic 74 (4) 1100 - 1120, December 2009. https://doi.org/10.2178/jsl/1254748682
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