Webenumerable (redirected from enumerably) Also found in: Thesaurus, Encyclopedia. e·nu·mer·a·ble WebExamples. Every computable set is computably enumerable, but it is not true that every computably enumerable set is computable. For computable sets, the algorithm must …
April 7, 2024
WebIn computability theory, two disjoint sets of natural numbers are called computably inseparable or recursively inseparable if they cannot be "separated" with a computable set. ... it is possible for A and B to be computably inseparable, disjoint, and computably enumerable. Let φ be the standard indexing of the partial computable functions. Web4. The definition of the complexity class NP seems to ensure (as good as possible) that it is computably enumerable. It looks as if the class could be enumerated by enumerating … is betfred sports legit
Computability Theory - University of Connecticut
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, … See more A set S of natural numbers is called computably enumerable if there is a partial computable function whose domain is exactly S, meaning that the function is defined if and only if its input is a member of S. See more If A and B are computably enumerable sets then A ∩ B, A ∪ B and A × B (with the ordered pair of natural numbers mapped to a single natural number with the Cantor pairing function) are computably enumerable sets. The preimage of a computably … See more • RE (complexity) • Recursively enumerable language • Arithmetical hierarchy See more The following are all equivalent properties of a set S of natural numbers: Semidecidability: The set S is computably enumerable. That … See more • Every computable set is computably enumerable, but it is not true that every computably enumerable set is computable. For computable sets, the algorithm must also say if an input is not in the set – this is not required of computably enumerable sets. See more According to the Church–Turing thesis, any effectively calculable function is calculable by a Turing machine, and thus a set S is computably … See more WebSince it is computably enumerable, its complement (relative to the decidable problem whether a string encodes a Turing machine) $$\{\langle M\rangle : M\text{ is a TM and }L(M)\text{ has property that its size is less than } 330 \}$$ cannot be computably enumerable. Well, the size of that number 330 does not affect our argument here. WebA more general class of sets than the computable ones consists of the computably enumerable (c.e.) sets, also called semidecidable sets. For these sets, it is only required that there is an algorithm that correctly decides when a number is in the set; the algorithm may give no answer (but not the wrong answer) for numbers not in the set. one million square feet building