Difference between revisions of "Manuals/calci/ACKERMANN"
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==Example== | ==Example== | ||
+ | ==Related Videos== | ||
− | + | {{#ev:youtube|v=CUbDmWIFYzo|280|center|Ackermann}} | |
==See Also== | ==See Also== |
Revision as of 14:12, 7 February 2019
ACKERMANN(m,n)
- and are the positive integers.
Description
- The Ackermann function is a classic example of a recursive function, notable especially because it is not a primitive recursive function.
- All primitive recursive functions are total and computable, but the Ackermann function illustrates that not all total computable functions are primitive recursive.
- Its arguments are never negative and it always terminates.
- The two-argument Ackermann–Péter function, is defined as follows:
\\
for nonnegative integers m and n.
- Its value grows rapidly, even for small inputs.