# Relating Automata-theoretic Hierarchies to Complexity-theoretic Hierarchies

RAIRO - Theoretical Informatics and Applications (2010)

- Volume: 36, Issue: 1, page 29-42
- ISSN: 0988-3754

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topSelivanov, Victor L.. "Relating Automata-theoretic Hierarchies to Complexity-theoretic Hierarchies." RAIRO - Theoretical Informatics and Applications 36.1 (2010): 29-42. <http://eudml.org/doc/92689>.

@article{Selivanov2010,

abstract = {
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.
},

author = {Selivanov, Victor L.},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {automata theory; complexity theory; leaf-languages; Straubing hierarchy; Brzozowski hierarchy; typed Boolean hierarchy; fine hierarchy; polynomial-time hierarchy},

language = {eng},

month = {3},

number = {1},

pages = {29-42},

publisher = {EDP Sciences},

title = {Relating Automata-theoretic Hierarchies to Complexity-theoretic Hierarchies},

url = {http://eudml.org/doc/92689},

volume = {36},

year = {2010},

}

TY - JOUR

AU - Selivanov, Victor L.

TI - Relating Automata-theoretic Hierarchies to Complexity-theoretic Hierarchies

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

PB - EDP Sciences

VL - 36

IS - 1

SP - 29

EP - 42

AB -
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.

LA - eng

KW - automata theory; complexity theory; leaf-languages; Straubing hierarchy; Brzozowski hierarchy; typed Boolean hierarchy; fine hierarchy; polynomial-time hierarchy

UR - http://eudml.org/doc/92689

ER -

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