Skip to main content

Synchronization and maximality for very pure subsemigroups of a free semigroup

  • Communications
  • Conference paper
  • First Online:
Mathematical Foundations of Computer Science 1979 (MFCS 1979)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 74))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Berstel, J.,Perrin,D., Perrot,J.F. and A. Restivo, Sur le théorème du défaut, J. of Algebra, (1979), in press.

    Google Scholar 

  2. De Luca,A., On some properties of the syntactic semigroup of a very pure subsemigroup, RAIRO,I.T. (1979), in press.

    Google Scholar 

  3. De Luca,A., A note on "very pure" subsemigroups of a free semigroup, in "Non commutative structures in Algebra and Geometric Combinatorics".Proceedings of the Conference held at Laboratorio di Cibernetica del CNR,Arco Felice,Napoli,July 1978 (to appear).

    Google Scholar 

  4. De Luca,A., Perrin,D., Restivo,A. and S.Termini,Synchronization and simplification, Discrete Mathematics (1979), in press.

    Google Scholar 

  5. De Luca,A. and A.Restivo, On some properties of very pure codes, Theoretical Computer Science, (1979), in press.

    Google Scholar 

  6. Eilenberg,S., Automata,Languages and Machines,Academic Press,New York, vol.A (1974), vol. B (1976).

    Google Scholar 

  7. Hashiguchi, K. and N. Honda, Properties of code events and homomorphisms over regular events, J. Comput. System Sci. 12 (1976), 352–367.

    Google Scholar 

  8. Levenstein, V. I., On some properties of encoding and on self-tuning automatons for the decoding of information, Problemy Kibernetiki 11 (1964), 63–121.

    Google Scholar 

  9. Perrin,D., Codes et combinatoire du monoide libre,Cours de DEA 1976–77, Université de Paris VII (1978).

    Google Scholar 

  10. Perrin,D. and M.P.Schützenberger, Un problème élémentaire de la théorie de l'Information. Colloques Internationaux du C.N.R.S. n. 276-Théorie de l'Information. Cachan, 4–8 juillet 1977, pp.249–260.

    Google Scholar 

  11. Pin J.,Une caractérisation de trois variétés de langages bien connues, 4-th G.I. Conference on Theoretical Computer Science, 26–28 Mars 1979, Aachen, Lecture Notes in Computer Science, Springer-Verlag.

    Google Scholar 

  12. Restivo, A.,On a question of McNaughton and Papert, Information and Control 25 (1974), 93–101.

    Article  Google Scholar 

  13. Restivo, A.A combinatorial property of codes having finite synchronization delay, Theoretical Computer Science 1 (1975), 95–101.

    Article  Google Scholar 

  14. Restivo, A.,On codes having no finite completions,Discrete Mathematics, 17 (1977), 309–316.

    Article  Google Scholar 

  15. Schützenberger, M.P., On an application of semigroup methods to some problems in coding, IRE Trans. Information Theory, 2 (1956), 47–60.

    Article  Google Scholar 

  16. Schützenberger,M.P., Codes à longueur variables, Cours à l'Ecole d'Eté de l'OTAN sur les méthodes combinatoires en théorie du codage, Royan, France (1965) unpublished.

    Google Scholar 

  17. Schützenberger, M.P.,On a factorization of free monoids,Proc. of AMS, 16 (1965), 21–24.

    Google Scholar 

  18. Schützenberger,M.P.,Sur une propriété combinatoire des algèbres de Lie libres pouvant etre utilisée dans un problème de mathématique appliquée,Séminaire Dubreil-Pisot (Algèbre et théorie des nombres), exposé n. 1, 1958/59,Paris.

    Google Scholar 

  19. Spehner, J.C., Sur les codes synchronisants, C.R. Acad.Sc. Paris, t. 281 (1975), Série A, 779–782.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jiří Bečvář

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

de Luca, A., Restivo, A. (1979). Synchronization and maximality for very pure subsemigroups of a free semigroup. In: Bečvář, J. (eds) Mathematical Foundations of Computer Science 1979. MFCS 1979. Lecture Notes in Computer Science, vol 74. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09526-8_34

Download citation

  • DOI: https://doi.org/10.1007/3-540-09526-8_34

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09526-2

  • Online ISBN: 978-3-540-35088-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics