Uniformization of MSO-definable relation on integers

We consider the problem to decide, whether a given MSO-definable relation R of the bi-infinite words (words over integers), there exist a MSO-definable function F (a functional relation between bi-infinite words) which uniformize it (meaning that if x R y then also x R f(x)). We argue that this problem is decidable.

Authors

• Grzegorz Fabiański.

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