Classes of computational complexity
Classes of computational complexity
This chapter studies lowness properties of sets not necessarily below the halting problem. The main new notions are all related to traceability. It characterizes lowness for Schnorr, and computable randomness. It also studies strong jump traceability and its relationship to the cost function method of Chapter 5. Many research problems are posed.
Keywords: lowness property, lowness for Omega, traceability, lowness for randomness notions, strong jump traceability, benign cost function
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