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arXiv · 1205.2879

A Simplified Characterisation of Provably Computable Functions of the System ID_1 of Inductive Definitions

Naohi Eguchi·Andreas Weiermann
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Abstract

We present a simplified and streamlined characterisation of provably total computable functions of the theory ID_1 of non-iterated inductive definitions. The idea of the simplification is to employ the method of operator-controlled derivations that was originally introduced by Wilfried Buchholz and afterwards applied by the second author to a characterisation of provably total computable functions of Peano arithmetic PA.

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Naohi Eguchi, Andreas Weiermann. 2012-05-13. A Simplified Characterisation of Provably Computable Functions of the System ID_1 of Inductive Definitions. https://arxiv.org/abs/1205.2879

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