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Two-Way Automata over Locally Finite Semirings

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Descriptional Complexity of Formal Systems (DCFS 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10952))

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Abstract

Two-way transducers or weighted automata are in general more powerful than one-way ones. We show that two-way automata over locally finite semirings may have undefined behaviour. We prove that it is decidable whether this behaviour is defined, and, if it is, we show that two-way automata over locally finite semirings are equivalent to one-way automata.

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Authors and Affiliations

  1. LaBRI UMR 5800, Université de Bordeaux, INP Bordeaux, CNRS, Bordeaux, France

    Louis-Marie Dando & Sylvain Lombardy

Authors
  1. Louis-Marie Dando
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  2. Sylvain Lombardy
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Corresponding author

Correspondence to Sylvain Lombardy .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Computing Science, Saint Mary’s University, Halifax, Nova Scotia, Canada

    Stavros Konstantinidis

  2. Dipartimento di Informatica e Comunicazi, Universita degli Studi di Milano, Milan, Italy

    Giovanni Pighizzini

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Dando, LM., Lombardy, S. (2018). Two-Way Automata over Locally Finite Semirings. In: Konstantinidis, S., Pighizzini, G. (eds) Descriptional Complexity of Formal Systems. DCFS 2018. Lecture Notes in Computer Science(), vol 10952. Springer, Cham. https://doi.org/10.1007/978-3-319-94631-3_6

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  • DOI: https://doi.org/10.1007/978-3-319-94631-3_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-94630-6

  • Online ISBN: 978-3-319-94631-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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