Uniformity and bounded arithmetic below P

We study some of the complexity classes below P and, in particular, we concentrate on $AC\sp0\subseteq NC\sp1\subseteq L=$ LogSpace. We also study the nondeterministic classes $NAC\sp{i}$ and $NNC\sp{i},$ for $i\ge0,$ which are the counterparts to the more familiar class NP. In the final part of this work we characterize the so-called Steven's Class $SC=\bigcup\sb{i\ge1}Sc\sp{i}.$

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Parra, Carlos Mario

Contributors dc:contributor

• Jockusch, Carl G., Jr.

• Mathematics

Statement dc:rights

• Copyright 1996 Parra, Carlos Mario

Language dc:language

eng

Identifier

9780591198669
AAI9712398
(UMI)AAI9712398

OAI record oai:identifier

https://www.ideals.illinois.edu/oai-pmh?verb=GetRecord&metadataPrefix=etdms&identifier=oai%3Awww.ideals.illinois.edu%3A2142%2F20189