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- Title
HIGHER RANDOMNESS AND GENERICITY.
- Authors
GREENBERG, nNOAM; MONIN, BENOIT
- Abstract
We use concepts of continuous higher randomness, developed in Bienvenu et al. ['Continuous higher randomness', J. Math. Log. 17(1) (2017).], to investigate Π11 -randomness. We discusslowness for Π11 -randomness, cupping with Π11 -random sequences, and an analogue of theHirschfeldt-Millercharacterization of weak 2-randomness. We also consider analogous questionsfor Cohen forcing,concentrating on the class of Σ11 -generic reals.
- Subjects
ALGORITHMIC randomness; STOCHASTIC processes; DESCRIPTIVE set theory; COMPUTABLE functions; DEFINABILITY theory (Mathematical logic); PROBABILITY theory
- Publication
Forum of Mathematics, Sigma, 2017, Vol 5, p1
- ISSN
2050-5094
- Publication type
Article
- DOI
10.1017/fms.2017.27