Functional interpretation and inductive definitions
Jeremy Avigad and Henry Towsner
Source: J. Symbolic Logic Volume 74, Issue 4 (2009), 1100-1120.
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.
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Permanent link to this document: http://projecteuclid.org/euclid.jsl/1254748682
Digital Object Identifier: doi:10.2178/jsl/1254748682
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