Computational and Descriptional Power of Nondeterministic Iterated Uniform Finite-State Transducers

@article{Kutrib2022ComputationalAD,
  title={Computational and Descriptional Power of Nondeterministic Iterated Uniform Finite-State Transducers},
  author={Martin Kutrib and Andreas Malcher and Carlo Mereghetti and Beatrice Palano},
  journal={Fundam. Informaticae},
  year={2022},
  volume={185},
  pages={337-356}
}
An iterated uniform finite-state transducer (IUFST) runs the same length-preserving transduction, starting with a sweep on the input string and then iteratively sweeping on the output of the previous sweep. The IUFST accepts the input string by halting in an accepting state at the end of a sweep. We consider both the deterministic (IUFST) and nondeterministic (NIUFST) version of this device. We show that constant sweep bounded IUFSTs and NIUFSTs accept all and only regular languages. We study… 

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