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Decision Problems for Finite Automata over Infinite Algebraic Structures

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Implementation and Application of Automata (CIAA 2016)

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Abstract

We introduce the concept of finite automata over algebraic structures. We address the classical emptiness problem and its various refinements in our setting. In particular, we prove several decidability and undecidability results. We also explain the way our automata model connects with the existential first order theory of algebraic structures.

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Authors and Affiliations

  1. Department of Computer Science, University of Auckland, Auckland, New Zealand

    Bakhadyr Khoussainov & Jiamou Liu

Authors
  1. Bakhadyr Khoussainov
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  2. Jiamou Liu
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Corresponding author

Correspondence to Bakhadyr Khoussainov .

Editor information

Editors and Affiliations

  1. Yonsei University, Seoul, Korea (Republic of)

    Yo-Sub Han

  2. Queen's University , Kingston, Ontario, Canada

    Kai Salomaa

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Khoussainov, B., Liu, J. (2016). Decision Problems for Finite Automata over Infinite Algebraic Structures. In: Han, YS., Salomaa, K. (eds) Implementation and Application of Automata. CIAA 2016. Lecture Notes in Computer Science(), vol 9705. Springer, Cham. https://doi.org/10.1007/978-3-319-40946-7_1

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  • DOI: https://doi.org/10.1007/978-3-319-40946-7_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40945-0

  • Online ISBN: 978-3-319-40946-7

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