Atoms and partial orders of infinite languages

Werner Kuich; N. W. Sauer

RAIRO - Theoretical Informatics and Applications (2010)

  • Volume: 35, Issue: 4, page 389-401
  • ISSN: 0988-3754

Abstract

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We determine minimal elements, i.e., atoms, in certain partial orders of factor closed languages under ⊆. This is in analogy to structural Ramsey theory which determines minimal structures in partial orders under embedding.

How to cite

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Kuich, Werner, and Sauer, N. W.. "Atoms and partial orders of infinite languages." RAIRO - Theoretical Informatics and Applications 35.4 (2010): 389-401. <http://eudml.org/doc/222068>.

@article{Kuich2010,
abstract = { We determine minimal elements, i.e., atoms, in certain partial orders of factor closed languages under ⊆. This is in analogy to structural Ramsey theory which determines minimal structures in partial orders under embedding. },
author = {Kuich, Werner, Sauer, N. W.},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Combinatorics of words; structural Ramsey theory.; structural Ramsey theory},
language = {eng},
month = {3},
number = {4},
pages = {389-401},
publisher = {EDP Sciences},
title = {Atoms and partial orders of infinite languages},
url = {http://eudml.org/doc/222068},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Kuich, Werner
AU - Sauer, N. W.
TI - Atoms and partial orders of infinite languages
JO - RAIRO - Theoretical Informatics and Applications
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 4
SP - 389
EP - 401
AB - We determine minimal elements, i.e., atoms, in certain partial orders of factor closed languages under ⊆. This is in analogy to structural Ramsey theory which determines minimal structures in partial orders under embedding.
LA - eng
KW - Combinatorics of words; structural Ramsey theory.; structural Ramsey theory
UR - http://eudml.org/doc/222068
ER -

References

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  1. A. de Luca and St. Varrichio, Finiteness and Regularity in Semigroups and Formal Languages. Springer (1999).  
  2. H. Furstenberg, Recurrence in Ergodic Theory and Combinatorial Number Theory. Princeton University Press, Princeton (1981).  Zbl0459.28023
  3. M. Pouzet and N. Sauer, Edge partitions of the Rado graph. Combinatorica16 (1996) 1-16.  Zbl0881.05095
  4. F.P. Ramsey, On a problem of formal logic.Proc. London Math. Soc.30 (1930) 264-286.  Zbl55.0032.04
  5. N. Sauer, Coloring finite substructures of countable structures. The Mathematics of Paul Erdos, X. Bolyai Mathematical Society (to appear).  Zbl1023.03042
  6. S. Yu, Regular Languages. In: Handbook of Formal Languages, edited by G. Rozenberg and A. Salomaa, Springer (1997).  

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