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Computably enumerable set

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In computability theory, a set S of natural numbers is called computably enumerable (c.e.), recursively enumerable (r.e.), semidecidable, partially decidable, listable, provable or Turing-recognizable if:

Computably enumerable set - Wikipedia Jump to content From Wikipedia, the free encyclopedia Mathematical logic concept "Enumerable set" redirects here. For the set-theoretic concept, see Countable set . In computability theory , a set S of natural numbers is called computably enumerable (c.e.) , recursively enumerable (r.e.) , semidecidable , partially decidable , listable , provable or Turing-recognizable if: There is an algorithm such that the set of input numbers for which the algorithm halts is exactly S . Or, equivalently, There is an algorithm that enumerates the members of S . That mean

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