Schnorr trivial sets and truth-table reducibility
2010 ◽
Vol 75
(2)
◽
pp. 501-521
◽
AbstractWe give several characterizations of Schnorr trivial sets, including a new lowness notion for Schnorr triviality based on truth-table reducibility. These characterizations allow us to see not only that some natural classes of sets, including maximal sets, are composed entirely of Schnorr trivials, but also that the Schnorr trivial sets form an ideal in the truth-table degrees but not the weak truth-table degrees. This answers a question of Downey. Griffiths and LaForte.
Keyword(s):
2005 ◽
Vol 44
(8)
◽
pp. 1045-1065
◽
1975 ◽
Vol 8
(4)
◽
pp. 429-448
◽
Keyword(s):
1989 ◽
Vol 41
(1)
◽
pp. 1-26
◽
2004 ◽
Vol 20
(1)
◽
pp. 163-168
Keyword(s):
2001 ◽
Vol 107
(1-3)
◽
pp. 35-48
◽