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conjugacy equation

RAIRO - Theoretical Informatics and Applications (1)

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On Conjugacy of Languages
Julien Cassaigne, Juhani Karhumäki, Ján Maňuch
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 35 / Issue 6 / November 2001

Published online by Cambridge University Press:

15 July 2002, pp. 535-550

Print publication:

November 2001
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We say that two languages X and Y are conjugates if they satisfy the conjugacy equationXZ = 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.