Functional interpretation and inductive definitions

@article{Avigad2009FunctionalIA,
  title={Functional interpretation and inductive definitions},
  author={Jeremy Avigad and Henry Towsner},
  journal={J. Symb. Log.},
  year={2009},
  volume={74},
  pages={1100-1120}
}
Extending Gödel’sDialectica 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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