First-order logic and star-free sets
Journal of Computer and System Sciences
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
Two Refinements of the Polynomial Hierarcht
STACS '94 Proceedings of the 11th Annual Symposium on Theoretical Aspects of Computer Science
A Logical Approach to Decidability of Hierarchies of Regular Star-Free Languages
STACS '01 Proceedings of the 18th Annual Symposium on Theoretical Aspects of Computer Science
FCT '85 Fundamentals of Computation Theory
Counter-Free Automata (M.I.T. research monograph no. 65)
Counter-Free Automata (M.I.T. research monograph no. 65)
MCU'04 Proceedings of the 4th international conference on Machines, Computations, and Universality
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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 H.-J. Burtschik and H. Vollmer on relationship between the Straubingand the polynomial hierarchies. In particular, this applies to the boolean hierarchy and the plus-hierarchy.