Geodesic
Solving parallel equations over $\omega$-regular languages
Prikladnaâ diskretnaâ matematika, no. 10 (2009), pp. 6-7.

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We consider the problem of deriving a component of a system that combined with a known part of a system meets the given specification. We assume that the behavior of the overall system and of its parts is described by Buchi automata that accept $\omega$-regular languages, i.e. languages containing infinite words. The problem of deriving an unknown component can be casted into the problem of solving language equations over $\omega$-regular languages. However solving techniques for equations over regular languages cannot be directly applied to the case of $\omega$-regular languages. 
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V. G. Bushkov; N. V. Evtushenko. Solving parallel equations over $\omega$-regular languages. Prikladnaâ diskretnaâ matematika, no. 10 (2009), pp. 6-7. http://geodesic.mathdoc.fr/item/PDM_2009_10_a0/

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