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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) wikiPageLength "1276".
- PR_(complexity) wikiPageOutDegree "10".
- PR_(complexity) wikiPageRevisionID "670646993".
- PR_(complexity) wikiPageWikiLink Ackermann_function.
- PR_(complexity) wikiPageWikiLink Category:Complexity_classes.
- PR_(complexity) wikiPageWikiLink ELEMENTARY.
- PR_(complexity) wikiPageWikiLink Formal_language.
- PR_(complexity) wikiPageWikiLink Primitive_recursive_function.
- PR_(complexity) wikiPageWikiLink RE_(complexity).
- PR_(complexity) wikiPageWikiLink R_(complexity).
- PR_(complexity) wikiPageWikiLink Recursively_enumerable_set.
- PR_(complexity) wikiPageWikiLink Tetration.
- PR_(complexity) wikiPageWikiLink Turing_machine.
- PR_(complexity) wikiPageWikiLinkText "PR (complexity)".
- PR_(complexity) wikiPageWikiLinkText "PR".
- PR_(complexity) wikiPageUsesTemplate Template:ComplexityClasses.
- PR_(complexity) wikiPageUsesTemplate Template:ComplexityZoo.
- PR_(complexity) subject Category:Complexity_classes.
- PR_(complexity) hypernym Class.
- PR_(complexity) type Class.
- 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) sameAs Q841343.
- PR_(complexity) sameAs PR_(complejidad).
- PR_(complexity) sameAs PR_(計算複雑性理論).
- PR_(complexity) sameAs PR_(복잡도).
- PR_(complexity) sameAs m.08rvvk.
- PR_(complexity) sameAs PR_(сложеност).
- PR_(complexity) sameAs Q841343.
- PR_(complexity) sameAs PR_(複雜度).
- PR_(complexity) wasDerivedFrom PR_(complexity)?oldid=670646993.
- PR_(complexity) isPrimaryTopicOf PR_(complexity).