A Simplified Characterisation of Provably Computable Functions of the System ID1 of Inductive Definitions
Abstract
We present a simplified and streamlined characterisation of provably total computable functions of the theory ID1 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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