Name
Abstract | ||
|---|---|---|
We say that A <=(LR) B if every B-random number is A-random. Intuitively this means that if oracle A can identify some patterns on some real gamma, oracle B can also find patterns on gamma. In other words, B is at least as good as A for this purpose. We study the structure of the LR degrees globally and locally (i.e., restricted to the computably enumerable degrees) and their relationship with the Turing degrees. Among other results we show that whenever a is not GL(2) the LR degree of a bounds 210 degrees (so that, in particular, there exist LR degrees with uncountably many predecessors) and we give sample results which demonstrate how various techniques from the theory of the c.e. degrees can be used to prove results about the c.e. LR degrees. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.2178/jsl/1208359060 | JOURNAL OF SYMBOLIC LOGIC |
DocType | Volume | Issue |
Journal | 73 | 2 |
ISSN | Citations | PageRank |
0022-4812 | 13 | 1.23 |
References | Authors | |
3 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| George Barmpalias | 1 | 202 | 34.94 |
| Andrew Lewis | 2 | 90 | 18.10 |
| Mariya Ivanova Soskova | 3 | 21 | 10.54 |