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FSTTCS
2007
Springer

Non-mitotic Sets

14 years 5 months ago
Non-mitotic Sets
We study the question of the existence of non-mitotic sets in NP. We show under various hypotheses that • 1-tt-mitoticity and m-mitoticity differ on NP. • 1-tt-reducibility and m-reducibility differ on NP. • There exist non-T-autoreducible sets in NP (by a result from Ambos-Spies, these sets are neither T-mitotic nor m-mitotic). • T-autoreducibility and T-mitoticity differ on NP (this contrasts the situation in the recursion theoretic setting, where Ladner showed that autoreducibility and mitoticity coincide). • 2-tt autoreducibility does not imply weak 2-tt-mitoticity. • 1-tt-complete sets for NP are nonuniformly m-complete.
Christian Glaßer, Alan L. Selman, Stephen D.
Added 07 Jun 2010
Updated 07 Jun 2010
Type Conference
Year 2007
Where FSTTCS
Authors Christian Glaßer, Alan L. Selman, Stephen D. Travers, Liyu Zhang
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