On dot-depth two

F. Blanchet-Sadri

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1990)

  • Volume: 24, Issue: 6, page 521-529
  • ISSN: 0988-3754

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Blanchet-Sadri, F.. "On dot-depth two." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 24.6 (1990): 521-529. <http://eudml.org/doc/92373>.

@article{Blanchet1990,
author = {Blanchet-Sadri, F.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {regular language; Straubing hierarchy; star-free; dot-depth},
language = {eng},
number = {6},
pages = {521-529},
publisher = {EDP-Sciences},
title = {On dot-depth two},
url = {http://eudml.org/doc/92373},
volume = {24},
year = {1990},
}

TY - JOUR
AU - Blanchet-Sadri, F.
TI - On dot-depth two
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1990
PB - EDP-Sciences
VL - 24
IS - 6
SP - 521
EP - 529
LA - eng
KW - regular language; Straubing hierarchy; star-free; dot-depth
UR - http://eudml.org/doc/92373
ER -

References

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  2. 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. MR2685431
  3. 3. F. BLANCHET-SADRI, Games, Equations and the Dot-Depth Hierarchy, (preprint 1988 ), Computers and Mathematics with applications (à paraître). Zbl0682.03015MR1008808
  4. 4. R. S. COHEN and J. A. BRZOZOWSKI, Dot-Depth of Star-Free Events, J. Comp. Sys. Sci., 1971, 5, pp. 1-16. Zbl0217.29602MR309676
  5. 5. A. EHRENFEUCHT, An Application of Games to the Completeness Problem for Formalized Theories, Fund. Math., 1961, 49, pp. 129-141. Zbl0096.24303MR126370
  6. 6. S. EILENBERG, Automata, Languages and Machines, B, Academic Press, New York, 1976. Zbl0359.94067MR530383
  7. 7. H. B. ENDERTON, A Mathematical Introduction to Logic, Academic Press, New York, 1972. Zbl0298.02002MR337470
  8. 8. R. FRAISSÉ, Cours de logique mathématique, tome 2, Gauthier-Vîllars, Paris, 1972. Zbl0247.02003MR446871
  9. 9. G. LALLEMENT, Semigroups and Combinatorial Applications, Wiley, New York, 1979. Zbl0421.20025MR530552
  10. 10. R. MCNAUGHTON and S. PAPERT, Counter-Free Automata, M.I.T. Press, Cambridge, Mass., 1971. Zbl0232.94024MR371538
  11. 11. D. PERRIN and J. E. PIN, First-Order Logic and Star-Free Sets, J. Comp. Sys. Sci., 1986, 32, pp. 393-406. Zbl0618.03015MR858236
  12. 12. J. E. PIN, Variétés de langages formels, Masson, Paris, 1984. Zbl0636.68093MR752695
  13. 13. J. E. PIN, Hiérarchies de contaténation, R.A.I.R.O. Informatique Théorique, 1984, 18, pp. 23-46. Zbl0559.68062MR750449
  14. 14. J. G. ROSENSTEIN, Linear Orderings, Academic Press, New York, 1982. Zbl0488.04002MR662564
  15. 15. M. P. SCHÜTZENBERGER, On Finite Monoids having only Trivial Subgroups, Information and Control, 1965, 8, pp. 190-194. Zbl0131.02001MR176883
  16. 16. I. SIMON, Piecewise Testable Events, Proc. 2nd GI Conference, Lectures Notes in Comput Sci., Springer Verlag, Berlin, 1975, 33, pp. 214-222. Zbl0316.68034MR427498
  17. 17. H. STRAUBING, A Generalization of the Schützenberger Product of Finite Monoids, Theoretical Comput Sci., 1981, 13, pp. 137-150. Zbl0456.20048MR594057
  18. 18. H. STRAUBING, Finite Semigroup Varieties of the Form V*D, J. of Pure and Applied Algebra, 1985, 36, pp. 53-94. Zbl0561.20042MR782639
  19. 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. Zbl0596.68056MR864704
  20. 20. W. THOMAS, Classifying Regular Events in Symbolic Logic, J. Comp. Sys. Sci., 1982, 25, pp. 360-376. Zbl0503.68055MR684265
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  22. 22. B. TILSON, Categories as Algebra, J. of Pure and Applied Algebra, 1987, 48, pp. 83-198. Zbl0627.20031MR915990

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