Difference between revisions of "Manuals/calci/ACKERMANN"

From ZCubes Wiki
Jump to navigation Jump to search
 
(One intermediate revision by one other user not shown)
Line 17: Line 17:
 
==Example==
 
==Example==
  
 +
==Related Videos==
  
 
+
{{#ev:youtube|v=CUbDmWIFYzo|280|center|Ackermann}}
  
 
==See Also==
 
==See Also==
 
*[[Z_API_Functions | List of Main Z Functions]]
 
*[[Z_API_Functions | List of Main Z Functions]]
  
 +
*[[ Z3 |  Z3 home ]]
 +
 +
 +
==References==
 +
 +
[https://en.wikipedia.org/wiki/Ackermann_function Ackermann Function]
 +
 +
 +
*[[Z_API_Functions | List of Main Z Functions]]
 
*[[ Z3 |  Z3 home ]]
 
*[[ Z3 |  Z3 home ]]

Latest revision as of 20:10, 14 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.

Example

Related Videos

Ackermann

See Also


References

Ackermann Function