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- PR_(complexity) 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.".
- PR_(complexity) wikiPageID "3106897".
- PR_(complexity) wikiPageRevisionID "558156937".
- PR_(complexity) hasPhotoCollection PR_(complexity).
- PR_(complexity) subject Category:Complexity_classes.
- PR_(complexity) type Abstraction100002137.
- PR_(complexity) type Class107997703.
- PR_(complexity) type Collection107951464.
- PR_(complexity) type ComplexityClasses.
- PR_(complexity) type Group100031264.
- PR_(complexity) 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.".
- PR_(complexity) label "PR (complexity)".
- PR_(complexity) label "PR (複雜度)".
- PR_(complexity) label "PR (計算複雑性理論)".
- PR_(complexity) sameAs PR_(計算複雑性理論).
- PR_(complexity) sameAs PR_(복잡도).
- PR_(complexity) sameAs m.08rvvk.
- PR_(complexity) sameAs Q841343.
- PR_(complexity) sameAs Q841343.
- PR_(complexity) sameAs PR_(complexity).
- PR_(complexity) wasDerivedFrom PR_(complexity)?oldid=558156937.
- PR_(complexity) isPrimaryTopicOf PR_(complexity).