Issue |
RAIRO-Theor. Inf. Appl.
Volume 35, Number 6, November/December 2001
A tribute to Aldo de Luca
|
|
---|---|---|
Page(s) | 535 - 550 | |
DOI | https://doi.org/10.1051/ita:2001130 | |
Published online | 15 July 2002 |
On Conjugacy of Languages
1
Institut de Mathématiques de Luminy – CNRS/FRUMAM,
Case 907,
13288 Marseille Cedex 9, France; (cassaigne@iml.univ-mrs.fr)
2
Department of Mathematics and TUCS, University of Turku, 20014 Turku, Finland; (karhumak@cs.utu.fi)
3
TUCS and Department of Mathematics, Datacity, Lemminkäisenkatu 14A,
20520 Turku, Finland; (manuch@cs.utu.fi)
Received:
14
June
2001
Revised:
15
February
2002
We say that two languages X and Y are conjugates if they satisfy the conjugacy equation XZ = ZY for some language Z. We study several problems associated with this equation. For example, we characterize all sets which are conjugated via a two-element biprefix set Z, as well as all two-element sets which are conjugates.
Mathematics Subject Classification: 68R15 / 68Q70
Key words: Conjugacy equation / languages / Conway's Problem.
© EDP Sciences, 2001
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