Languages of finite words occurring infinitely many times in an infinite word

Klaus Thomsen

RAIRO - Theoretical Informatics and Applications (2010)

  • Volume: 39, Issue: 4, page 641-650
  • ISSN: 0988-3754

Abstract

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We give necessary and sufficient conditions for a language to be the language of finite words that occur infinitely many times in an infinite word.

How to cite

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Thomsen, Klaus. "Languages of finite words occurring infinitely many times in an infinite word." RAIRO - Theoretical Informatics and Applications 39.4 (2010): 641-650. <http://eudml.org/doc/92781>.

@article{Thomsen2010,
abstract = { We give necessary and sufficient conditions for a language to be the language of finite words that occur infinitely many times in an infinite word. },
author = {Thomsen, Klaus},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Formal languages; infinite words; infinite occurrence.},
language = {eng},
month = {3},
number = {4},
pages = {641-650},
publisher = {EDP Sciences},
title = {Languages of finite words occurring infinitely many times in an infinite word},
url = {http://eudml.org/doc/92781},
volume = {39},
year = {2010},
}

TY - JOUR
AU - Thomsen, Klaus
TI - Languages of finite words occurring infinitely many times in an infinite word
JO - RAIRO - Theoretical Informatics and Applications
DA - 2010/3//
PB - EDP Sciences
VL - 39
IS - 4
SP - 641
EP - 650
AB - We give necessary and sufficient conditions for a language to be the language of finite words that occur infinitely many times in an infinite word.
LA - eng
KW - Formal languages; infinite words; infinite occurrence.
UR - http://eudml.org/doc/92781
ER -

References

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  1. Y. Bar-Hilel, M. Peres and E. Shamir, On formal properties of simple phrase structure grammar. Z. Phonetik. Sprachwiss. Komm.14 (1961) 143–172.  Zbl0106.34501
  2. T. Harju and L. Ilie, Languages obtained from infinite words. RAIRO-Inf. Theor. Appl.31 (1997) 445–455.  Zbl0903.68115
  3. J.E. Hopcroft and J.D. Ullman, Introduction to Automata Theory, Languages and Computation. Addison-Wesley Publishing Company (1979).  Zbl0426.68001
  4. L. Ilie, On subwords of infinite words. Discrete Appl. Math.63 (1995) 277–279.  Zbl0856.68116
  5. D. Lind and B. Marcus, An Introduction to Symbolic Dynamics and Coding. Cambridge University Press (1995).  Zbl1106.37301
  6. S. Marcus and G. Paun, Infinite (almost periodic) words, formal languages and dynamical systems. Bull. EATCS54 (1994) 224–231.  Zbl0825.68388

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