Topologies on free monoids induced by closure operators of a special type

Helmut Prodinger

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1980)

  • Volume: 14, Issue: 2, page 225-237
  • ISSN: 0988-3754

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Prodinger, Helmut. "Topologies on free monoids induced by closure operators of a special type." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 14.2 (1980): 225-237. <http://eudml.org/doc/92126>.

@article{Prodinger1980,
author = {Prodinger, Helmut},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {topologies on free monoids; closure operator},
language = {eng},
number = {2},
pages = {225-237},
publisher = {EDP-Sciences},
title = {Topologies on free monoids induced by closure operators of a special type},
url = {http://eudml.org/doc/92126},
volume = {14},
year = {1980},
}

TY - JOUR
AU - Prodinger, Helmut
TI - Topologies on free monoids induced by closure operators of a special type
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1980
PB - EDP-Sciences
VL - 14
IS - 2
SP - 225
EP - 237
LA - eng
KW - topologies on free monoids; closure operator
UR - http://eudml.org/doc/92126
ER -

References

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  1. 1. V. BENDA and K. BENDOVA, Recognizable Filters and Ideals, Commentationes Mathematicae Universitatis Carolinae, Prag, 1976, pp. 251-259. Zbl0334.02020MR411246
  2. 2. L. BOASSON and M. NIVAT, Adherences of Languages, Laboratoire Informatique Theorique et Programmation, No. 79-13, 1979, to appear in J. Comp. Syst Sc. Zbl0471.68052MR584863
  3. 3. N. BOURBAKI, General Topology, Part 1, Hermann, Paris, 1966. 
  4. 4. N. CHOMSKY and M. P. SCHÜTZENBERGER, The Algebraic Theory of Context-free Languages, In Computer Programming and Formal Systems, P. BRAFFORT and D. HIRSCHBERG, Eds., North-Holland, Amsterdam, 1963, pp. 118-161. Zbl0148.00804MR152391
  5. 5. S. Y. KURODA, A Topological Study of Phrase-Structure Languages, Information and Control, Vol. 30, 1976, pp. 307-379. Zbl0325.68040MR478781
  6. 6. F. LAPSCHER, Propriétés de « longueur de chaîne » dans l'ensemble des fermetures supérieures sur un ensemble ordonné, Discrete Mathematics, 1976, 76, pp. 129-140. Zbl0309.06001MR329978
  7. 7. H. PRODINGER and F. J. URBANEK, Language Operators Related to Init, Theoretical Computer Science, Vol. 8, 1979, pp. 161-175. Zbl0397.68080MR526201
  8. 8. H. PRODINGER, Congruences Defined by Languages and Filters, Information and Control, Vol. 44, 1980, pp. 36-46. Zbl0431.68072MR559987
  9. 9. C. REUTENAUER, Une topologie du monoïde libre, Laboratoire Informatique Théorique et Programmation, No. 78-41, 1978. MR537662
  10. 10. W. SHUKLA and A. K. SRIVASTAVA, A Topology for Automata: A Note, Information and Control, Vol. 32, 1976, pp. 163-168. Zbl0338.94028MR439470
  11. 11. K. SIKDAR, On Topological Machines, J.C.S.S. Vol. 14, 1977, pp. 17-48. Zbl0357.94049MR437237

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