11 citations · 12 across the 3 of their papers we have counts for
3 papers
math.LO2008
K-trivials are NCR
Antonio Montalban, Theodore A. Slaman
We show that for every K-trivial real X, there is no representation of a continuous probability measure m such that X is 1-random relative to m.
math.LO2007★ 1 cited
Low upper bounds of ideals
Antonin Kucera, Theodore A. Slaman
We show that there is a low T-upper bound for the class of K-trivial sets, namely those which are weak from the point of view of algorithmic randomness. This result is a special ca…
math.LO2006★ 11 cited
The complexity of the index sets of -categorical theories and of Ehrenfeucht theories
Steffen Lempp, Theodore A. Slaman
We classify the computability-theoretic complexity of two index sets of classes of first-order theories: We show that the property of being an -categorical theory is $Π^0…