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- Q841343 subject Q7298553.
- Q841343 abstract "PR is the complexity class of all primitive recursive functions – or, equivalently, the set of all formal languages that can be decided by such a function. This includes addition, multiplication, exponentiation, tetration, etc.The Ackermann function is an example of a function that is not primitive recursive, showing that PR is strictly contained in R (Cooper 2004:88).On the other hand, we can "enumerate" any recursively enumerable set (see also its complexity class RE) by a primitive-recursive function in the following sense: given an input (M, k), where M is a Turing machine and k is an integer, if M halts within k steps then output M; otherwise output nothing. Then the union of the outputs, over all possible inputs (M, k), is exactly the set of M that halt.PR strictly contains ELEMENTARY.".
- Q841343 wikiPageWikiLink Q1063293.
- Q841343 wikiPageWikiLink Q1570472.
- Q841343 wikiPageWikiLink Q163310.
- Q841343 wikiPageWikiLink Q192161.
- Q841343 wikiPageWikiLink Q194324.
- Q841343 wikiPageWikiLink Q341835.
- Q841343 wikiPageWikiLink Q5323278.
- Q841343 wikiPageWikiLink Q676835.
- Q841343 wikiPageWikiLink Q7298553.
- Q841343 wikiPageWikiLink Q905621.
- Q841343 comment "PR is the complexity class of all primitive recursive functions – or, equivalently, the set of all formal languages that can be decided by such a function.".
- Q841343 label "PR (complexity)".