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Everything about Computably enumerable set

Mathematical logic concept

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. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Computably enumerable setA 5-minute orientation
  2. Skim a recent paper: $$sQ_1$$-degrees of computably enumerable setsInfluential work since 2022
  3. Pick up a classic book: Recursively enumerable sets and degreesThe most-reprinted book on the subject
  4. Read the landmark paper: Computably enumerable sets and quasi-reducibilityCited 24 times
  5. Go sideways: Computability theoryA closely related topic
  6. Go sideways: Computable functionA closely related topic

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