Simplifications of the recursion scheme

Author:

Gladstone M. D.

Abstract

This paper resolves 3 problems left open by R. M. Robinson in [3].We recall that the set of primitive recursive functions is the closure under (i) substitution (or “composition”), and (ii) recursion, of the set P consisting of the zero, successor and projection functions (see any textbook, for instance p. 120 of [2]).

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference3 articles.

1. Primitive recursive functions

2. A reduction of the recursion scheme;Gladstone;this Journal,1967

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