Abstract
The equation XZ = ZY is called the conjugacy equation. Here X, Y and Z are languages over a finite alphabet. Given two sets X and Y, we can ask “Does there exist a Z which makes the conjugacy equation true?”. We answer this question partially in the case when one of them is a two element set and the other is a three element set.
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Kenkireth, B.G., Ram, S. (2008). Towards Decidability of Conjugacy of Pairs and Triples. In: Ramanujam, R., Sarukkai, S. (eds) Logic and Its Applications. ICLA 2009. Lecture Notes in Computer Science(), vol 5378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92701-3_16
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DOI: https://doi.org/10.1007/978-3-540-92701-3_16
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