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Its still a step more to show that LOOPS are primitive recursive, if
you want to do it properly you would use something like Hoare triples,
etc..
http://www.concrete-semantics.org/
They say LOOP is syntactic sugar. Well there is more to it. I think
your primitive recursive article refers already to results about LOOP.
But why not make it a separate article.
Strictly speaking Dedekind hardly had any idea of LOOP, there was
not BASIC programming language with a FOR NEXT statements.
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