no. 6
On dot-depth two
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 24 (1990) no. 6, pp. 521-529. 
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     title = {On dot-depth two},
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     pages = {521--529},
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     volume = {24},
     number = {6},
     year = {1990},
     mrnumber = {1082913},
     zbl = {0718.68046},
     language = {en},
     url = {http://www.numdam.org/item/ITA_1990__24_6_521_0/}
}
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Blanchet-Sadri, F. On dot-depth two. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 24 (1990) no. 6, pp. 521-529. http://www.numdam.org/item/ITA_1990__24_6_521_0/

1. J. A. Brzozowski and R. Knast, The Dot-Depth Hierarchy of Star-Free Languages if Infinite, J. Comp. Sys. Sci., 1978, 16, pp. 37-55. | MR | Zbl

2. F. Blanchet-Sadri, Some Logical Characterizations of the Dot-Depth Hierarchy and Applications, Technical Report No. 88-03 of the Department of Mathematics and Statistics of McGill University, July 1988, pp. 1-44. | MR

3. F. Blanchet-Sadri, Games, Equations and the Dot-Depth Hierarchy, (preprint 1988 ), Computers and Mathematics with applications (à paraître). | MR | Zbl

4. R. S. Cohen and J. A. Brzozowski, Dot-Depth of Star-Free Events, J. Comp. Sys. Sci., 1971, 5, pp. 1-16. | MR | Zbl

5. A. Ehrenfeucht, An Application of Games to the Completeness Problem for Formalized Theories, Fund. Math., 1961, 49, pp. 129-141. | EuDML | MR | Zbl

6. S. Eilenberg, Automata, Languages and Machines, B, Academic Press, New York, 1976. | MR | Zbl

7. H. B. Enderton, A Mathematical Introduction to Logic, Academic Press, New York, 1972. | MR | Zbl

8. R. Fraissé, Cours de logique mathématique, tome 2, Gauthier-Vîllars, Paris, 1972. | MR | Zbl

9. G. Lallement, Semigroups and Combinatorial Applications, Wiley, New York, 1979. | MR | Zbl

10. R. Mcnaughton and S. Papert, Counter-Free Automata, M.I.T. Press, Cambridge, Mass., 1971. | MR | Zbl

11. D. Perrin and J. E. Pin, First-Order Logic and Star-Free Sets, J. Comp. Sys. Sci., 1986, 32, pp. 393-406. | MR | Zbl

12. J. E. Pin, Variétés de langages formels, Masson, Paris, 1984. | MR | Zbl

13. J. E. Pin, Hiérarchies de contaténation, R.A.I.R.O. Informatique Théorique, 1984, 18, pp. 23-46. | Numdam | MR | Zbl

14. J. G. Rosenstein, Linear Orderings, Academic Press, New York, 1982. | MR | Zbl

15. M. P. Schützenberger, On Finite Monoids having only Trivial Subgroups, Information and Control, 1965, 8, pp. 190-194. | MR | Zbl

16. I. Simon, Piecewise Testable Events, Proc. 2nd GI Conference, Lectures Notes in Comput Sci., Springer Verlag, Berlin, 1975, 33, pp. 214-222. | MR | Zbl

17. H. Straubing, A Generalization of the Schützenberger Product of Finite Monoids, Theoretical Comput Sci., 1981, 13, pp. 137-150. | MR | Zbl

18. H. Straubing, Finite Semigroup Varieties of the Form V*D, J. of Pure and Applied Algebra, 1985, 36, pp. 53-94. | MR | Zbl

19. H. Straubing, Semigroups and Languages of Dot-Depth Two, Proc. 13th ICALP, Lecture Notes in Comput. Sci., Springer Verlag, New York, 1986, 226, pp. 416- 423. | MR | Zbl

20. W. Thomas, Classifying Regular Events in Symbolic Logic, J. Comp. Sys. Sci., 1982, 25, pp. 360-376. | MR | Zbl

21. W. Thomas, An Application of the Ehrenfeucht-Fraissé Game in Formal Language Theory, Bull. Soc. Math. de France, 2e série, Mémoire, 1984, No. 16, pp. 11-21. | Numdam | MR | Zbl

22. B. Tilson, Categories as Algebra, J. of Pure and Applied Algebra, 1987, 48, pp. 83-198. | MR | Zbl