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Computability and Randomness$
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André Nies

Print publication date: 2009

Print ISBN-13: 9780199230761

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780199230761.001.0001

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Classes of computational complexity

Classes of computational complexity

(p.301) 8 Classes of computational complexity
Computability and Randomness

André Nies

Oxford University Press

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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