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A Tour of Recent Results on Word Transducers

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Fundamentals of Computation Theory (FCT 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10472))

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Abstract

Regular word transductions extend the robust notion of regular languages from acceptors to transformers. They were already considered in early papers of formal language theory, but turned out to be much more challenging. The last decade brought considerable research around various transducer models, aiming to achieve similar robustness as for automata and languages.

In this talk we survey some recent results on regular word transducers. We discuss how classical connections between automata, logic and algebra extend to transducers, as well as some genuine definability questions. For a recent, more detailed overview of the theory of regular word transductions the reader is referred to the excellent survey [22].

Based on joint work with Félix Baschenis, Olivier Gauwin and Gabriele Puppis. Work partially supported by the Institute of Advance Studies of the Technische Universität München and the project DeLTA (ANR-16-CE40-0007).

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Notes

  1. 1.

    Also called “single-valued” in the literature, as a special instance of “k-valued”.

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Acknowledgments

I thank Félix Baschenis, Emmanuel Filiot, Olivier Gauwin, Nathan Lhote, Gabriele Puppis and Sylvain Salvati for numerous discussions and feedback, as well as Mikolaj Bojanczyk for the origins of this work.

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  1. LaBRI, University of Bordeaux, Bordeaux, France

    Anca Muscholl

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  1. Anca Muscholl
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Correspondence to Anca Muscholl .

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  1. CNRS, University of Bordeaux, Talence cedex, France

    Ralf Klasing

  2. LaBRI, University of Bordeaux, Talence cedex, France

    Marc Zeitoun

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Muscholl, A. (2017). A Tour of Recent Results on Word Transducers. In: Klasing, R., Zeitoun, M. (eds) Fundamentals of Computation Theory. FCT 2017. Lecture Notes in Computer Science(), vol 10472. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55751-8_3

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