## Notre Dame Journal of Formal Logic

### Subclasses of the Weakly Random Reals

Johanna N. Y. Franklin

#### Abstract

The weakly random reals contain not only the Schnorr random reals as a subclass but also the weakly 1-generic reals and therefore the n-generic reals for every n. While the class of Schnorr random reals does not overlap with any of these classes of generic reals, their degrees may. In this paper, we describe the extent to which this is possible for the Turing, weak truth-table, and truth-table degrees and then extend our analysis to the Schnorr random and hyperimmune reals.

#### Article information

Source
Notre Dame J. Formal Logic, Volume 51, Number 4 (2010), 417-426.

Dates
First available in Project Euclid: 29 September 2010

https://projecteuclid.org/euclid.ndjfl/1285765796

Digital Object Identifier
doi:10.1215/00294527-2010-026

Mathematical Reviews number (MathSciNet)
MR2741834

Zentralblatt MATH identifier
1229.03037

Subjects

#### Citation

Franklin, Johanna N. Y. Subclasses of the Weakly Random Reals. Notre Dame J. Formal Logic 51 (2010), no. 4, 417--426. doi:10.1215/00294527-2010-026. https://projecteuclid.org/euclid.ndjfl/1285765796

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