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arXiv · 2603.09593

The extended future cover and desynchronization of sofic shifts

Klaus Thomsen
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Abstract

The paper describes a cover of the future cover of a sofic shift which is canonical in the same way as the future cover itself. In some cases the cover is isomorphic to the future cover and in other it is a genuine extension. The extended future cover is then used to introduce and describe the desynchronization of sofic shifts.

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Klaus Thomsen. 2026-03-10. The extended future cover and desynchronization of sofic shifts. https://arxiv.org/abs/2603.09593

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