| Issue |
RAIRO-Theor. Inf. Appl.
Volume 36, Number 1, January/March 2002
|
|
|---|---|---|
| Page(s) | 29 - 42 | |
| DOI | https://doi.org/10.1051/ita:2002003 | |
| Published online | 15 December 2002 | |
Relating Automata-theoretic Hierarchies to Complexity-theoretic Hierarchies
Novosibirsk Pedagogical University,
28 Vilyniskaya Str., Novosibirsk 630126, Russia; vseliv@nspu.ru.
Received:
27
March
2001
Accepted:
14
June
2002
We show that some natural refinements of the Straubing and Brzozowski hierarchies correspond (via the so called leaf-languages) step by step to similar refinements of the polynomial-time hierarchy. This extends a result of Burtschik and Vollmer on relationship between the Straubing and the polynomial hierarchies. In particular, this applies to the Boolean hierarchy and the plus-hierarchy.
Mathematics Subject Classification: 03D05 / 03D15 / 03D55
© EDP Sciences, 2002
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