High (computability)

High (computability)

In computability theory, a Turing degree ["X"] is high if it is computable in 0′, and the Turing jump ["X"′] is 0′′, which is the greatest possible degree in terms of Turing reducibility for the jump of a set which is computable in 0′.

ee also

Low (computability)

References

Soare, R. "Recursively enumerable sets and degrees." Perspectives in Mathematical Logic. Springer-Verlag, Berlin, 1987. ISBN 3-540-15299-7


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