A Regular and Complete Notion of Delay for Streaming String Transducers

@article{Filiot2022ARA,
  title={A Regular and Complete Notion of Delay for Streaming String Transducers},
  author={Emmanuel Filiot and Isma{\"e}l Jecker and Christof L{\"o}ding and Sarah Winter},
  journal={ArXiv},
  year={2022},
  volume={abs/2205.04287}
}
The notion of delay between finite transducers is a core element of numerous fundamental results of transducer theory. The goal of this work is to provide a similar notion for more complex abstract machines: we introduce a new notion of delay tailored to measure the similarity between streaming string transducers (SST). We show that our notion is rational : we design a finite automaton that can check whether the delay between two SSTs is smaller than some given bound. As a consequence, our notion… 

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