Oct 18, 2006 · We show that there exists a real α such that, for all reals β, if α is linear reducible to β then β ≤T α. In fact, every random real ...
We show that there exists a real α such that, for all reals β , if α is linear reducible to β then β ≤ T α . In fact, every random real satisfies this ...
Randomness and the linear degrees of computability · A. Lewis, George Barmpalias · Published in Annals of Pure and Applied… 1 March 2007 · Mathematics.
We show that there exists a real α such that, for all reals β, if α is linear reducible to β then β≤Tα. In fact, every random real satisfies this ...
Aug 6, 2013 · In fact, every random real satisfies this quasi-maximality property. As a corollary we may conclude that there exists no ℓ-complete Δ2 real.
In this thesis we will study LR-reducibility, a weakening of Turing reducibility arising naturally in the context of relative randomness. We will focus ...
Missing: linear | Show results with:linear
Jul 17, 2019 · In this survey we discuss work of Levin and V'yugin on collections of sequences that are non-negligible in the sense that they can be computed by a ...
Missing: linear | Show results with:linear
Theorem 3.6 (Nies, Stephan, and Terwijn (2005)). Every high Turing degree con- tains a set that is computably random but not ML-random and a set that is Schnorr.
Oct 30, 2024 · We study the computability theory in three different contexts. Firstly, we study the relationship between PA degrees and Martin-Löf randomness.
Missing: linear | Show results with:linear
Journal of Logic and Computation 2007 17:1025-1040. Summary PDF BibTex Citations. Randomness and the Linear degrees of computability. George Barmpalias and ...