Journal of Symbolic Logic

Functional interpretation and inductive definitions

Jeremy Avigad and Henry Towsner

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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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J. Symbolic Logic, Volume 74, Issue 4 (2009), 1100-1120.

First available in Project Euclid: 5 October 2009

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Avigad, Jeremy; Towsner, Henry. Functional interpretation and inductive definitions. J. Symbolic Logic 74 (2009), no. 4, 1100--1120. doi:10.2178/jsl/1254748682.

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