A concatenation game and the dot-depth hierarchy
Computation theory and logic
Counting classes with finite acceptance types
Computers and Artificial Intelligence
Structural complexity 1
Structural complexity 2
A uniform approach to define complexity classes
Theoretical Computer Science
Fine hierarchies and Boolean terms
Journal of Symbolic Logic
Logspace and logtime leaf languages
Information and Computation
A note on parallel queries and the symmetric-difference hierarchy
Information Processing Letters
The Boolean structure of dot-depth one
Journal of Automata, Languages and Combinatorics - Special issue: selected papers of the second internaional workshop on Descriptional Complexity of Automata, Grammars and Related Structures (London, Ontario, Canada, July 27-29, 2000)
Two Refinements of the Polynomial Hierarcht
STACS '94 Proceedings of the 11th Annual Symposium on Theoretical Aspects of Computer Science
FCT '85 Fundamentals of Computation Theory
On the power of number-theoretic operations with respect to counting
SCT '95 Proceedings of the 10th Annual Structure in Complexity Theory Conference (SCT'95)
Counter-Free Automata (M.I.T. research monograph no. 65)
Counter-Free Automata (M.I.T. research monograph no. 65)
Languages polylog-time reducible to dot-depth 1/2
Journal of Computer and System Sciences
Fine hierarchies and m-reducibilities in theoretical computer science
Theoretical Computer Science
The dot-depth and the polynomial hierarchy correspond on the delta levels
DLT'04 Proceedings of the 8th international conference on Developments in Language Theory
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Hierarchies considered in computability theory and in complexity theory are related to some reducibilities in the sense that levels of the hierarchies are downward closed and have complete sets. In this paper we propose a reducibility having similar relationship to the Brzozowski's dot-depth hierarchy and some its refinements. We prove some basic facts on the corresponding degree structure and discuss relationships of the reducibility to complexity theory (via the leaf-language approach).