Skip to main content
SpringerLink
Log in

The metric properties on the semigroups and the languages

  • Communications
  • Conference paper
  • First Online:
Mathematical Foundations of Computer Science 1976 (MFCS 1976)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 45))

Abstract

In this paper a way to define a distance on a semigroup (with respect to a nonempty subset of S) one gives. We establish any properties of build metric space. When S is the free semigroup generated by a finite set Σ we obtain the distances on the languages. Two new language classes one defines: local finite and local bounded and the conections between the two language classes and languages from the Chomsky hierarchy are establish.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A.DincĂ, Sur queques problêmes d'analyse contextuelle métrique. Rev.roum.math., Toml3, nr.1, pp. 65–70, Bucarest.

    Google Scholar 

  2. A. DincĂ, Distanţe contextuale în lingvistica algebricĂ. St.cerc. mat. Tom25, nr.2, p.223–265, 1973,Bucureşti.

    Google Scholar 

  3. A. DincĂ, Distanţe şi diametre într-un semigrup (cu aplicaţii la teoria limbajelor). St.cerc.mat. Tom25, Nr.3, p.359–378, Bucureşti, 1973.

    Google Scholar 

  4. M. Gross, A. Lentin, Notions sur les grammaire formelles, Gauthier-Villars, Paris, 1967.

    Google Scholar 

  5. S. Ginsburg, The mathematical theory of context-free languages. McGraw-Hill, New York, 1966.

    Google Scholar 

  6. M.Ito, Quelques remarques sur l'espace contextuel. Mathematical Linguistics, nr.57, 1971, pp.18–28.

    Google Scholar 

  7. S. Marcus, Analyse contextuelle. Zeitschrift fur Phonetik, Sprachwissesschaft und Kommunikationsforshung,3,1965,pp.301–313, Berlin.

    Google Scholar 

  8. S. Marcus, Algebraic Linguistics, Analytical Models. New York, London Academic Press, 1967.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Craiova, Romania

    Alexandru DincĂ

Authors
  1. Alexandru DincĂ
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Antoni Mazurkiewicz

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

DincĂ, A. (1976). The metric properties on the semigroups and the languages. In: Mazurkiewicz, A. (eds) Mathematical Foundations of Computer Science 1976. MFCS 1976. Lecture Notes in Computer Science, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07854-1_184

Download citation

  • DOI: https://doi.org/10.1007/3-540-07854-1_184

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07854-8

  • Online ISBN: 978-3-540-38169-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation