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Relating Automata-theoretic Hierarchiesto Complexity-theoreticHierarchies

Published online by Cambridge University Press:  15 December 2002

Victor L. Selivanov
Victor L. Selivanov*
Affiliation:
Novosibirsk Pedagogical University, 28 Vilyniskaya Str., Novosibirsk 630126, Russia; vseliv@nspu.ru.
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Abstract

We show that some natural refinements of the Straubing and Brzozowskihierarchies correspond (via the so called leaf-languages) step by step tosimilar refinements of the polynomial-time hierarchy. This extends a result of Burtschik and Vollmer on relationship between the Straubing and thepolynomial hierarchies. In particular, this applies to the Boolean hierarchyand the plus-hierarchy.

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Type
Research Article
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RAIRO - Theoretical Informatics and Applications , Volume 36 , Issue 1 , January 2002 , pp. 29 - 42
Copyright
© EDP Sciences, 2002

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