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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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Martin-Löf randomness and its variants

Martin-Löf randomness and its variants

(p.102) 3 Martin-Löf randomness and its variants
Computability and Randomness

André Nies

Oxford University Press

This chapter begins with a general background on how to introduce mathematical randomness notions. It then studies the central randomness notion of Martin–Löf, and gives some connections to computational complexity. In response to criticisms of this notion, the chapter also studies stronger and weaker randomness notions. Schnorr randomness is analyzed via computable measure machines.

Keywords:   test notions, Martin–Löf randomness, Schnorr randomness, computable measure machine, randomness notions, computational complexity

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