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Recursively enumerable set
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A set is computably enumerable when a program halts precisely on its members. Equivalently, it is the domain of a
partial computable function
or some algorithm lists its elements.
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Domain and range characterizations of a nonempty computably enumerable set
Recursively enumerable set
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Computability theory
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Many-one completeness of the halting problem
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Solution
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Computably enumerable set