Talk:Primitive recursive function: Difference between revisions

Content deleted Content added
Line 361:
 
:Good point. I changed "computable" to "total recursive" in that sentence. [[User:JRSpriggs|JRSpriggs]] ([[User talk:JRSpriggs|talk]]) 04:56, 23 April 2015 (UTC)
 
:: BTW: The ackerman function is such a function. It is not primitive recursive. And its total. The proof goes usually by majorization. In terms of LOOP/WHILE one would show that for every program with n-LOOPs there is some ackerman function invocation, that grows more than the n-LOOPs program. By this majorization, one can show that the ackeman function cannot be implemented by a LOOP-program.
 
:: But you are not alone, David Hilbert believed the same, until the discovery of the [[Ackermann function]] showed the contrary.
 
:: [[User:Janburse|Jan Burse]] ([[User talk:Janburse|talk]]) 13:40, 28 February 2024 (UTC)
 
== Floop issue. ==