Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-27T15:11:45.936Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  15 October 2005

Klaus Thomsen
Klaus Thomsen*
Affiliation:
Institut for matematiske fag, Ny Munkegade, 8000 Aarhus C, Denmark; matkt@imf.au.dk
Get access

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.

Keywords

Formal languagesinfinite wordsinfinite occurrence.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 39 , Issue 4 , October 2005 , pp. 641 - 650
Copyright
© EDP Sciences, 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bar-Hilel, Y., Peres, M. and Shamir, E., On formal properties of simple phrase structure grammar. Z. Phonetik. Sprachwiss. Komm. 14 (1961) 143–172.
Harju, T. and Ilie, L., Languages obtained from infinite words. RAIRO-Inf. Theor. Appl. 31 (1997) 445–455. CrossRef
J.E. Hopcroft and J.D. Ullman, Introduction to Automata Theory, Languages and Computation. Addison-Wesley Publishing Company (1979).
Ilie, L., On subwords of infinite words. Discrete Appl. Math. 63 (1995) 277–279. CrossRef
D. Lind and B. Marcus, An Introduction to Symbolic Dynamics and Coding. Cambridge University Press (1995).
Marcus, S. and Paun, G., Infinite (almost periodic) words, formal languages and dynamical systems. Bull. EATCS 54 (1994) 224–231.