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 languages, infinite words, infinite occurrence
@article{ITA_2005__39_4_641_0,
author = {Thomsen, Klaus},
title = {Languages of finite words occurring infinitely many times in an infinite word},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {641--650},
year = {2005},
publisher = {EDP Sciences},
volume = {39},
number = {4},
doi = {10.1051/ita:2005033},
mrnumber = {2172143},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ita:2005033/}
}
TY - JOUR AU - Thomsen, Klaus TI - Languages of finite words occurring infinitely many times in an infinite word JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2005 SP - 641 EP - 650 VL - 39 IS - 4 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ita:2005033/ DO - 10.1051/ita:2005033 LA - en ID - ITA_2005__39_4_641_0 ER -
%0 Journal Article %A Thomsen, Klaus %T Languages of finite words occurring infinitely many times in an infinite word %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2005 %P 641-650 %V 39 %N 4 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ita:2005033/ %R 10.1051/ita:2005033 %G en %F ITA_2005__39_4_641_0
Thomsen, Klaus. Languages of finite words occurring infinitely many times in an infinite word. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 39 (2005) no. 4, pp. 641-650. doi: 10.1051/ita:2005033
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